From ef1a342f79cc0e254e02e04a1868397a91b052a5 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 21 Mar 2021 13:30:09 +0800 Subject: [PATCH 01/35] add assignment 1 --- assignment-1/submission/18307130104/source.py | 35 +++++++++++++++++++ .../submission/18307130104/tester_demo.py | 24 +++++++++++++ 2 files changed, 59 insertions(+) create mode 100644 assignment-1/submission/18307130104/source.py create mode 100644 assignment-1/submission/18307130104/tester_demo.py diff --git a/assignment-1/submission/18307130104/source.py b/assignment-1/submission/18307130104/source.py new file mode 100644 index 0000000..5fa52fc --- /dev/null +++ b/assignment-1/submission/18307130104/source.py @@ -0,0 +1,35 @@ +import numpy as np +import matplotlib.pyplot as plt + +class KNN: + + def __init__(self): + self.ldata = {} + + def fit(self, train_data, train_label): + for (d, l) in (train_data, train_label): + if(l in self.ldata): + self.ldata[l].append(d) + else: + self.ldata[l] = [[d]] + + def dist(self, s1, s2): + sum = 0 + for (k1, k2) in (s1, s2): + sum += (k1 - k2) ** 2 + return sum + + def predict_one(self, data): + for l in self.ldata: + sumd = 0 + for s in self.ldata[l]: + sumd += dist(s, data) + if(sumd < minsumd): + minsumd = sumd + return result + + def predict(self, test_data): + result = {} + for x in test_data: + result.append(predict_one(x)) + return result \ No newline at end of file diff --git a/assignment-1/submission/18307130104/tester_demo.py b/assignment-1/submission/18307130104/tester_demo.py new file mode 100644 index 0000000..3dd9283 --- /dev/null +++ b/assignment-1/submission/18307130104/tester_demo.py @@ -0,0 +1,24 @@ +import numpy as np + +from source import KNN + +train_data = np.array([ + [1, 2, 3, 4], + [4, 2, 3, 1], + [12, 12, 13, 14], + [14, 12, 13, 11], + [12, 14, 15, 16] +]) +train_label = np.array([0, 0, 1, 1, 1]) + +test_data = np.array([ + [3, 4, 4, 2], + [18, 14, 15, 16] +]) +test_label = np.array([0, 1]) + +model = KNN() +model.fit(train_data, train_label) +res = model.predict(test_data) + +print("acc =",np.mean(np.equal(res, test_label))) \ No newline at end of file -- Gitee From 5f5ec8bda36e6ff59b960ceb7b6f2e34bb4d7b56 Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 23 Mar 2021 14:50:00 +0800 Subject: [PATCH 02/35] pass tester_demo.py --- assignment-1/submission/18307130104/source.py | 15 +++++++++------ 1 file changed, 9 insertions(+), 6 deletions(-) diff --git a/assignment-1/submission/18307130104/source.py b/assignment-1/submission/18307130104/source.py index 5fa52fc..771b968 100644 --- a/assignment-1/submission/18307130104/source.py +++ b/assignment-1/submission/18307130104/source.py @@ -7,29 +7,32 @@ class KNN: self.ldata = {} def fit(self, train_data, train_label): - for (d, l) in (train_data, train_label): + for (d, l) in zip(train_data, train_label): if(l in self.ldata): self.ldata[l].append(d) else: - self.ldata[l] = [[d]] + self.ldata[l] = [d] def dist(self, s1, s2): sum = 0 - for (k1, k2) in (s1, s2): + for (k1, k2) in zip(s1, s2): sum += (k1 - k2) ** 2 return sum def predict_one(self, data): + result = None + minsumd = 65535 for l in self.ldata: sumd = 0 for s in self.ldata[l]: - sumd += dist(s, data) + sumd += self.dist(s, data) if(sumd < minsumd): minsumd = sumd + result = l return result def predict(self, test_data): - result = {} + result = [] for x in test_data: - result.append(predict_one(x)) + result.append(self.predict_one(x)) return result \ No newline at end of file -- Gitee From af7f166d1b1f6afbfd2417e1e4df9958c149069b Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 23 Mar 2021 15:08:10 +0800 Subject: [PATCH 03/35] sync --- assignment-1/submission/18307130104/source.py | 27 ++++++++++++++++++- 1 file changed, 26 insertions(+), 1 deletion(-) diff --git a/assignment-1/submission/18307130104/source.py b/assignment-1/submission/18307130104/source.py index 771b968..055c817 100644 --- a/assignment-1/submission/18307130104/source.py +++ b/assignment-1/submission/18307130104/source.py @@ -1,3 +1,4 @@ +import sys import numpy as np import matplotlib.pyplot as plt @@ -35,4 +36,28 @@ class KNN: result = [] for x in test_data: result.append(self.predict_one(x)) - return result \ No newline at end of file + return result + +def generate(): + pass + +def display(data, label, name): + pass + +def read(): + pass + +if __name__ == "__main__": + if len(sys.argv) > 1 and sys.argv[1] == "g": + generate() + if len(sys.argv) > 1 and sys.argv[1] == "d": + (train_data, train_label), (test_data, test_label) = read() + display(train_data, train_label, 'train') + display(test_data, test_label, 'test') + else: + (train_data, train_label), (test_data, test_label) = read() + + model = KNN() + model.fit(train_data, train_label) + res = model.predict(test_data) + print("acc =",np.mean(np.equal(res, test_label))) \ No newline at end of file -- Gitee From a37101d243e667650be874add623f7fe29aa4c54 Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 23 Mar 2021 18:44:35 +0800 Subject: [PATCH 04/35] sync --- assignment-1/submission/18307130104/source.py | 58 ++++++++++++++++--- 1 file changed, 51 insertions(+), 7 deletions(-) diff --git a/assignment-1/submission/18307130104/source.py b/assignment-1/submission/18307130104/source.py index 055c817..fcad951 100644 --- a/assignment-1/submission/18307130104/source.py +++ b/assignment-1/submission/18307130104/source.py @@ -6,6 +6,7 @@ class KNN: def __init__(self): self.ldata = {} + self.K = 4 def fit(self, train_data, train_label): for (d, l) in zip(train_data, train_label): @@ -22,14 +23,27 @@ class KNN: def predict_one(self, data): result = None - minsumd = 65535 + tmpl = [] for l in self.ldata: sumd = 0 for s in self.ldata[l]: sumd += self.dist(s, data) - if(sumd < minsumd): - minsumd = sumd - result = l + tmpl.append([sumd, l]) + tmpl.sort() + num = [] + for i in range(0, self.K): + num.append(0) + cnt = 0 + for l in tmpl: + num[l[1]] = num[l[1]] + 1 + cnt = cnt + 1 + if(cnt >= self.K): + break + maxi = -1 + for i in range(0, self.K): + if num[i] > maxi: + maxi = num[i] + result = i return result def predict(self, test_data): @@ -39,16 +53,46 @@ class KNN: return result def generate(): - pass + mean = (1, 2) + cov = np.array([[73, 0], [0, 22]]) + x = np.random.multivariate_normal(mean, cov, (800,)) + + mean = (16, -5) + cov = np.array([[21.2, 0], [0, 32.1]]) + y = np.random.multivariate_normal(mean, cov, (200,)) + + mean = (10, 22) + cov = np.array([[10,5],[5,10]]) + z = np.random.multivariate_normal(mean, cov, (1000,)) + + idx = np.arange(2000) + np.random.shuffle(idx) + data = np.concatenate([x,y,z]) + label = np.concatenate([ + np.zeros((800,),dtype=int), + np.ones((200,),dtype=int), + np.ones((1000,),dtype=int)*2 + ]) + data = data[idx] + label = label[idx] + + train_data, test_data = data[:1600,], data[1600:,] + train_label, test_label = label[:1600,], label[1600:,] + np.save("data.npy",( + (train_data, train_label), (test_data, test_label) + )) def display(data, label, name): pass def read(): - pass + (train_data, train_label), (test_data, test_label) = np.load("data.npy",allow_pickle=True) + return (train_data, train_label), (test_data, test_label) if __name__ == "__main__": - if len(sys.argv) > 1 and sys.argv[1] == "g": + print(sys.argv[1]) + if len(sys.argv) > 1 and sys.argv[1] == "g": + print("generate") generate() if len(sys.argv) > 1 and sys.argv[1] == "d": (train_data, train_label), (test_data, test_label) = read() -- Gitee From 856f6dc85c0f50a7d97f990dc2dc299faa44645f Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 23 Mar 2021 21:09:18 +0800 Subject: [PATCH 05/35] add select k code --- .../submission/18307130104/img/test.png | Bin 0 -> 56777 bytes .../submission/18307130104/img/test_res.png | Bin 0 -> 25845 bytes .../submission/18307130104/img/train.png | Bin 0 -> 39961 bytes assignment-1/submission/18307130104/source.py | 63 ++++++++++++++---- 4 files changed, 49 insertions(+), 14 deletions(-) create mode 100644 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z)$i1PvD>BXelHpu)u!eu$nnn3&KaQnrV{P)7B;UZP2R8GcFzXOK?jEm|6b-|Jw>`A z?uPb{`M7ih#|bY`LQ@8DY_x+V8J~fM-qq@VtK|PfWB)(@xMc@j%Jh=wkp5*?6#QtY LYO3TZn+5#`C3|l4 literal 0 HcmV?d00001 diff --git a/assignment-1/submission/18307130104/source.py b/assignment-1/submission/18307130104/source.py index fcad951..4d68a43 100644 --- a/assignment-1/submission/18307130104/source.py +++ b/assignment-1/submission/18307130104/source.py @@ -6,9 +6,30 @@ class KNN: def __init__(self): self.ldata = {} - self.K = 4 + self.K = 10 + self.cnt = 0 def fit(self, train_data, train_label): + totsz = len(train_data) + pretrainsz = totsz * 4 // 5 + for i in range(0, pretrainsz): + if train_label[i] in self.ldata: + self.ldata[train_label[i]].append(train_data[i]) + else: + self.ldata[train_label[i]] = [train_data[i]] + pretraindata = train_data[pretrainsz : totsz] + pretrainlabel = train_label[pretrainsz : totsz] + maxAcc = 0 + for preK in range(3, 12): + pretrainres = [] + for d in pretraindata: + pretrainres.append(self.predict_one(d)) + acc = np.mean(np.equal(pretrainres, pretrainlabel)) + print(acc) + if acc > maxAcc: + maxAcc = acc + self.K = preK + self.ldata.clear() for (d, l) in zip(train_data, train_label): if(l in self.ldata): self.ldata[l].append(d) @@ -20,30 +41,34 @@ class KNN: for (k1, k2) in zip(s1, s2): sum += (k1 - k2) ** 2 return sum - + def takeFirst(self, elem): + return elem[0] def predict_one(self, data): result = None tmpl = [] for l in self.ldata: - sumd = 0 for s in self.ldata[l]: - sumd += self.dist(s, data) - tmpl.append([sumd, l]) - tmpl.sort() - num = [] - for i in range(0, self.K): - num.append(0) + tmpl.append([self.dist(s, data), l]) + tmpl.sort(key=self.takeFirst) + num = {} + for i in self.ldata: + num[i] = 0 cnt = 0 + # for l in tmpl: + # print(l) + # print(' ') for l in tmpl: - num[l[1]] = num[l[1]] + 1 - cnt = cnt + 1 + num[l[1]] += 1 + cnt += 1 if(cnt >= self.K): break maxi = -1 - for i in range(0, self.K): + for i in self.ldata: + # print(i) if num[i] > maxi: maxi = num[i] result = i + # print(result) return result def predict(self, test_data): @@ -83,19 +108,28 @@ def generate(): )) def display(data, label, name): - pass + datas =[[],[],[]] + for i in range(len(data)): + datas[label[i]].append(data[i]) + + for each in datas: + each = np.array(each) + plt.scatter(each[:, 0], each[:, 1]) + plt.savefig(f'img/{name}') + plt.show() def read(): (train_data, train_label), (test_data, test_label) = np.load("data.npy",allow_pickle=True) return (train_data, train_label), (test_data, test_label) if __name__ == "__main__": - print(sys.argv[1]) if len(sys.argv) > 1 and sys.argv[1] == "g": print("generate") generate() if len(sys.argv) > 1 and sys.argv[1] == "d": (train_data, train_label), (test_data, test_label) = read() + # for l in test_label: + # print(l) display(train_data, train_label, 'train') display(test_data, test_label, 'test') else: @@ -104,4 +138,5 @@ if __name__ == "__main__": model = KNN() model.fit(train_data, train_label) res = model.predict(test_data) + display(test_data, res, 'test_res') print("acc =",np.mean(np.equal(res, test_label))) \ No newline at end of file -- Gitee From 795e903ca011d5526aa30788f3746f9fd730c82e Mon Sep 17 00:00:00 2001 From: unicornt Date: Fri, 26 Mar 2021 16:18:20 +0800 Subject: [PATCH 06/35] add report and 3 test result --- .../submission/18307130104/img-1/test.png | Bin 0 -> 26286 bytes .../submission/18307130104/img-1/test_res.png | Bin 0 -> 25675 bytes .../submission/18307130104/img-1/train.png | Bin 0 -> 41062 bytes .../submission/18307130104/img-2/test.png | Bin 0 -> 25147 bytes .../submission/18307130104/img-2/test_res.png | Bin 0 -> 25147 bytes .../submission/18307130104/img-2/train.png | Bin 0 -> 26935 bytes .../submission/18307130104/img-3/test.png | Bin 0 -> 31522 bytes .../submission/18307130104/img-3/test_res.png | Bin 0 -> 26985 bytes .../submission/18307130104/img-3/train.png | Bin 0 -> 45817 bytes .../submission/18307130104/img/test.png | Bin 56777 -> 0 bytes .../submission/18307130104/img/test_res.png | Bin 25845 -> 30546 bytes .../submission/18307130104/img/train.png | Bin 39961 -> 0 bytes assignment-1/submission/18307130104/source.py | 14 +++++++++----- 13 files changed, 9 insertions(+), 5 deletions(-) create mode 100644 assignment-1/submission/18307130104/img-1/test.png create mode 100644 assignment-1/submission/18307130104/img-1/test_res.png create mode 100644 assignment-1/submission/18307130104/img-1/train.png create mode 100644 assignment-1/submission/18307130104/img-2/test.png create mode 100644 assignment-1/submission/18307130104/img-2/test_res.png create mode 100644 assignment-1/submission/18307130104/img-2/train.png create mode 100644 assignment-1/submission/18307130104/img-3/test.png create mode 100644 assignment-1/submission/18307130104/img-3/test_res.png create mode 100644 assignment-1/submission/18307130104/img-3/train.png delete mode 100644 assignment-1/submission/18307130104/img/test.png delete mode 100644 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b/assignment-1/submission/18307130104/tester_demo.py deleted file mode 100644 index 3dd9283..0000000 --- a/assignment-1/submission/18307130104/tester_demo.py +++ /dev/null @@ -1,24 +0,0 @@ -import numpy as np - -from source import KNN - -train_data = np.array([ - [1, 2, 3, 4], - [4, 2, 3, 1], - [12, 12, 13, 14], - [14, 12, 13, 11], - [12, 14, 15, 16] -]) -train_label = np.array([0, 0, 1, 1, 1]) - -test_data = np.array([ - [3, 4, 4, 2], - [18, 14, 15, 16] -]) -test_label = np.array([0, 1]) - -model = KNN() -model.fit(train_data, train_label) -res = model.predict(test_data) - -print("acc =",np.mean(np.equal(res, test_label))) \ No newline at end of file -- Gitee From b90cfabbc125aefdfdfc90629d81b29d065c5ea6 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 20:35:54 +0800 Subject: [PATCH 11/35] make some change to code and report --- assignment-1/submission/18307130104/README.md | 65 ++++++++++-------- .../submission/18307130104/img-1/test.png | Bin 26286 -> 25814 bytes .../submission/18307130104/img-1/test_res.png | Bin 25675 -> 24951 bytes .../submission/18307130104/img-1/train.png | Bin 41062 -> 40794 bytes .../submission/18307130104/img-2/test.png | Bin 45765 -> 25216 bytes .../submission/18307130104/img-2/test_res.png | Bin 24395 -> 25216 bytes .../submission/18307130104/img-2/train.png | Bin 31206 -> 29941 bytes .../submission/18307130104/img-3/test.png | Bin 68930 -> 32872 bytes .../submission/18307130104/img-3/test_res.png | Bin 31626 -> 29833 bytes .../submission/18307130104/img-3/train.png | Bin 48445 -> 45550 bytes .../submission/18307130104/img/test.png | Bin 45765 -> 0 bytes .../submission/18307130104/img/test_res.png | Bin 24395 -> 0 bytes .../submission/18307130104/img/train.png | Bin 31206 -> 0 bytes assignment-1/submission/18307130104/source.py | 6 +- 14 files changed, 38 insertions(+), 33 deletions(-) delete mode 100644 assignment-1/submission/18307130104/img/test.png delete mode 100644 assignment-1/submission/18307130104/img/test_res.png delete mode 100644 assignment-1/submission/18307130104/img/train.png diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 79050ba..1783c07 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -12,9 +12,9 @@ fit() 函数的任务有两个:将用于训练的点按照类别分别进行储存;选择合适的 K,也就是用于预测的最近点个数。 -接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 4 5$ 的数据作为训练数据,后 $\frac 1 5$ 的数据作为验证集。逐一尝试 3~11 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 +接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 3 4$ 的数据作为训练数据,后 $\frac 1 4$ 的数据作为验证集。逐一尝试 1~14 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 -选择 3~11 是因为训练数据的规模为 2000,如果训练数据的规模进行了修改,这一个范围也可以进行修改,不过这一范围对大部分数据规模都比较适用。 +选择 1~14 是因为训练数据的规模为 2000,如果训练数据的规模进行了修改,这一个范围也可以进行修改,不过这一范围对大部分数据规模都比较适用。 ### predict() 函数 @@ -73,17 +73,22 @@ $$ 程序输出如下(之后的实验输出均采用如下的输出格式) ->0.946875 // k = 3~11 时验证集的正确率 +>0.935 // k = 1~14 时验证集的正确率 +>0.9225 +>0.93 +>0.94 +>0.94 +>0.95 +>0.9525 +>0.9475 +>0.945 +>0.945 +>0.955 +>0.9575 +>0.96 >0.9625 ->0.959375 ->0.959375 ->0.96875 ->0.96875 ->0.95625 ->0.965625 ->0.965625 ->take K 7 // 模型选择的 K ->acc = 0.955 // 测试集上的正确率 +>take K 14 // 模型选择的 K +>acc = 0.9575 // 测试集上的正确率 将实验1作为基准,对不同数据集上的模型效果进行对比。 @@ -134,9 +139,9 @@ $$ >1.0 >1.0 >1.0 +>0.9975 >1.0 ->1.0 ->1.0 +>0.9975 >1.0 >1.0 >1.0 @@ -184,22 +189,22 @@ $$ 程序输出如下 ->0.55 ->0.5625 ->0.585 ->0.585 ->0.6225 ->0.62 ->0.6225 ->0.6125 ->0.6425 ->0.6475 ->0.655 ->0.65 ->0.6425 ->0.645 ->take K 11 ->acc = 0.5975 +>0.67 +>0.7575 +>0.7325 +>0.7475 +>0.73 +>0.7425 +>0.74 +>0.7575 +>0.7425 +>0.7475 +>0.735 +>0.7425 +>0.74 +>0.74 +>take K 2 +>acc = 0.7125 相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据集中区域的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 diff --git a/assignment-1/submission/18307130104/img-1/test.png b/assignment-1/submission/18307130104/img-1/test.png index 462589bdbedefd7c11e244d68cafd5875e7d357c..dee425303e2612d99294b8b67d9d3caa62c45d19 100644 GIT binary patch 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.../18307130104/{img-1/test.png => img/test-1.png} | Bin .../18307130104/{img-2/test.png => img/test-2.png} | Bin .../18307130104/{img-3/test.png => img/test-3.png} | Bin .../{img-1/test_res.png => img/test_res-1.png} | Bin .../{img-2/test_res.png => img/test_res-2.png} | Bin .../{img-3/test_res.png => img/test_res-3.png} | Bin .../{img-1/train.png => img/train-1.png} | Bin .../{img-2/train.png => img/train-2.png} | Bin .../{img-3/train.png => img/train-3.png} | Bin 10 files changed, 3 insertions(+), 3 deletions(-) rename assignment-1/submission/18307130104/{img-1/test.png => img/test-1.png} (100%) rename assignment-1/submission/18307130104/{img-2/test.png => img/test-2.png} (100%) rename assignment-1/submission/18307130104/{img-3/test.png => img/test-3.png} (100%) rename assignment-1/submission/18307130104/{img-1/test_res.png => img/test_res-1.png} (100%) rename assignment-1/submission/18307130104/{img-2/test_res.png => img/test_res-2.png} (100%) rename assignment-1/submission/18307130104/{img-3/test_res.png => img/test_res-3.png} (100%) rename assignment-1/submission/18307130104/{img-1/train.png => img/train-1.png} (100%) rename assignment-1/submission/18307130104/{img-2/train.png => img/train-2.png} (100%) rename assignment-1/submission/18307130104/{img-3/train.png => img/train-3.png} (100%) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index a6d4ead..5473770 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -75,7 +75,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集测试集测试结果 +训练集测试集测试结果 程序输出如下(之后的实验输出均采用如下的输出格式) @@ -124,7 +124,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集测试集测试结果 +训练集测试集测试结果 程序输出如下 @@ -174,7 +174,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集测试集测试结果 +训练集测试集测试结果 程序输出如下 diff --git a/assignment-1/submission/18307130104/img-1/test.png b/assignment-1/submission/18307130104/img/test-1.png similarity index 100% rename from assignment-1/submission/18307130104/img-1/test.png rename to assignment-1/submission/18307130104/img/test-1.png diff --git a/assignment-1/submission/18307130104/img-2/test.png b/assignment-1/submission/18307130104/img/test-2.png similarity index 100% rename from assignment-1/submission/18307130104/img-2/test.png rename to assignment-1/submission/18307130104/img/test-2.png diff --git a/assignment-1/submission/18307130104/img-3/test.png b/assignment-1/submission/18307130104/img/test-3.png similarity index 100% rename from assignment-1/submission/18307130104/img-3/test.png rename to assignment-1/submission/18307130104/img/test-3.png diff --git a/assignment-1/submission/18307130104/img-1/test_res.png b/assignment-1/submission/18307130104/img/test_res-1.png similarity index 100% rename from assignment-1/submission/18307130104/img-1/test_res.png rename to assignment-1/submission/18307130104/img/test_res-1.png diff --git a/assignment-1/submission/18307130104/img-2/test_res.png b/assignment-1/submission/18307130104/img/test_res-2.png similarity index 100% rename from assignment-1/submission/18307130104/img-2/test_res.png rename to assignment-1/submission/18307130104/img/test_res-2.png diff --git a/assignment-1/submission/18307130104/img-3/test_res.png b/assignment-1/submission/18307130104/img/test_res-3.png similarity index 100% rename from assignment-1/submission/18307130104/img-3/test_res.png rename to assignment-1/submission/18307130104/img/test_res-3.png diff --git a/assignment-1/submission/18307130104/img-1/train.png b/assignment-1/submission/18307130104/img/train-1.png similarity index 100% rename from assignment-1/submission/18307130104/img-1/train.png rename to assignment-1/submission/18307130104/img/train-1.png diff --git a/assignment-1/submission/18307130104/img-2/train.png b/assignment-1/submission/18307130104/img/train-2.png similarity index 100% rename from assignment-1/submission/18307130104/img-2/train.png rename to assignment-1/submission/18307130104/img/train-2.png diff --git a/assignment-1/submission/18307130104/img-3/train.png b/assignment-1/submission/18307130104/img/train-3.png similarity index 100% rename from assignment-1/submission/18307130104/img-3/train.png rename to assignment-1/submission/18307130104/img/train-3.png -- Gitee From a8c96c3cd2bfbd80ebc057c9b1e07d1bccc5aa09 Mon Sep 17 00:00:00 2001 From: unicornt Date: Thu, 15 Apr 2021 13:59:38 +0800 Subject: [PATCH 18/35] add submission folder --- .../submission/18307130104/numpy_fnn.py | 153 +++++++++++++++ .../submission/18307130104/numpy_mnist.py | 36 ++++ .../submission/18307130104/tester_demo.py | 178 ++++++++++++++++++ .../submission/18307130104/torch_mnist.py | 64 +++++++ assignment-2/submission/18307130104/utils.py | 71 +++++++ 5 files changed, 502 insertions(+) create mode 100644 assignment-2/submission/18307130104/numpy_fnn.py create mode 100644 assignment-2/submission/18307130104/numpy_mnist.py create mode 100644 assignment-2/submission/18307130104/tester_demo.py create mode 100644 assignment-2/submission/18307130104/torch_mnist.py create mode 100644 assignment-2/submission/18307130104/utils.py diff --git a/assignment-2/submission/18307130104/numpy_fnn.py b/assignment-2/submission/18307130104/numpy_fnn.py new file mode 100644 index 0000000..150ab17 --- /dev/null +++ b/assignment-2/submission/18307130104/numpy_fnn.py @@ -0,0 +1,153 @@ +import numpy as np + + +class NumpyOp: + + def __init__(self): + self.memory = {} + self.epsilon = 1e-12 + + +class Matmul(NumpyOp): + + def forward(self, x, W): + """ + x: shape(N, d) + w: shape(d, d') + """ + self.memory['x'] = x + self.memory['W'] = W + h = np.matmul(x, W) + return h + + def backward(self, grad_y): + """ + grad_y: shape(N, d') + """ + + #################### + # code 1 # + #################### + + return grad_x, grad_W + + +class Relu(NumpyOp): + + def forward(self, x): + self.memory['x'] = x + return np.where(x > 0, x, np.zeros_like(x)) + + def backward(self, grad_y): + """ + grad_y: same shape as x + """ + + #################### + # code 2 # + #################### + + return grad_x + + +class Log(NumpyOp): + + def forward(self, x): + """ + x: shape(N, c) + """ + + out = np.log(x + self.epsilon) + self.memory['x'] = x + + return out + + def backward(self, grad_y): + """ + grad_y: same shape as x + """ + + #################### + # code 3 # + #################### + + return grad_x + + +class Softmax(NumpyOp): + """ + softmax over last dimension + """ + + def forward(self, x): + """ + x: shape(N, c) + """ + + #################### + # code 4 # + #################### + + return out + + def backward(self, grad_y): + """ + grad_y: same shape as x + """ + + #################### + # code 5 # + #################### + + return grad_x + + +class NumpyModel: + def __init__(self): + self.W1 = np.random.normal(size=(28 * 28, 256)) + self.W2 = np.random.normal(size=(256, 64)) + self.W3 = np.random.normal(size=(64, 10)) + + + # 以下算子会在 forward 和 backward 中使用 + self.matmul_1 = Matmul() + self.relu_1 = Relu() + self.matmul_2 = Matmul() + self.relu_2 = Relu() + self.matmul_3 = Matmul() + self.softmax = Softmax() + self.log = Log() + + # 以下变量需要在 backward 中更新 + self.x1_grad, self.W1_grad = None, None + self.relu_1_grad = None + self.x2_grad, self.W2_grad = None, None + self.relu_2_grad = None + self.x3_grad, self.W3_grad = None, None + self.softmax_grad = None + self.log_grad = None + + + def forward(self, x): + x = x.reshape(-1, 28 * 28) + + #################### + # code 6 # + #################### + + return x + + def backward(self, y): + for size in y.shape: + y /= size + + #################### + # code 7 # + #################### + + pass + + def optimize(self, learning_rate): + self.W1 -= learning_rate * self.W1_grad + self.W2 -= learning_rate * self.W2_grad + self.W3 -= learning_rate * self.W3_grad diff --git a/assignment-2/submission/18307130104/numpy_mnist.py b/assignment-2/submission/18307130104/numpy_mnist.py new file mode 100644 index 0000000..903d7a7 --- /dev/null +++ b/assignment-2/submission/18307130104/numpy_mnist.py @@ -0,0 +1,36 @@ +import numpy as np +from numpy_fnn import NumpyModel +from utils import download_mnist, batch, mini_batch, get_torch_initialization, plot_curve, one_hot + + +def numpy_run(): + train_dataset, test_dataset = download_mnist() + + model = NumpyModel() + model.W1, model.W2, model.W3 = get_torch_initialization() + + train_loss = [] + + epoch_number = 3 + learning_rate = 0.1 + + for epoch in range(epoch_number): + for x, y in mini_batch(train_dataset): + y = one_hot(y) + + y_pred = model.forward(x.numpy()) + loss = (-y_pred * y).sum(axis=1).mean() + model.backward(y) + model.optimize(learning_rate) + + train_loss.append(loss.item()) + + x, y = batch(test_dataset)[0] + accuracy = np.mean((model.forward(x).argmax(axis=1) == y)) + print('[{}] Accuracy: {:.4f}'.format(epoch, accuracy)) + + plot_curve(train_loss) + + +if __name__ == "__main__": + numpy_run() diff --git a/assignment-2/submission/18307130104/tester_demo.py b/assignment-2/submission/18307130104/tester_demo.py new file mode 100644 index 0000000..acc373b --- /dev/null +++ b/assignment-2/submission/18307130104/tester_demo.py @@ -0,0 +1,178 @@ +import numpy as np +import torch +from torch import matmul as torch_matmul, relu as torch_relu, softmax as torch_softmax, log as torch_log + +from numpy_fnn import Matmul, Relu, Softmax, Log, NumpyModel +from torch_mnist import TorchModel +from utils import get_torch_initialization, one_hot + +err_epsilon = 1e-3 + + +def check_result(numpy_result, torch_result=None): + if isinstance(numpy_result, list) and torch_result is None: + flag = True + for (n, t) in numpy_result: + flag = flag and check_result(n, t) + return flag + return ((torch.from_numpy(numpy_result) - torch_result).abs().mean() < err_epsilon).item() + + +def case_1(): + x = np.random.normal(size=[5, 6]) + W = np.random.normal(size=[6, 4]) + + numpy_matmul = Matmul() + numpy_out = numpy_matmul.forward(x, W) + numpy_x_grad, numpy_W_grad = numpy_matmul.backward(np.ones_like(numpy_out)) + + torch_x = torch.from_numpy(x).clone().requires_grad_() + torch_W = torch.from_numpy(W).clone().requires_grad_() + + torch_out = torch_matmul(torch_x, torch_W) + torch_out.sum().backward() + + return check_result([ + (numpy_out, torch_out), + (numpy_x_grad, torch_x.grad), + (numpy_W_grad, torch_W.grad) + ]) + + +def case_2(): + x = np.random.normal(size=[5, 6]) + + numpy_relu = Relu() + numpy_out = numpy_relu.forward(x) + numpy_x_grad = numpy_relu.backward(np.ones_like(numpy_out)) + + torch_x = torch.from_numpy(x).clone().requires_grad_() + + torch_out = torch_relu(torch_x) + torch_out.sum().backward() + + return check_result([ + (numpy_out, torch_out), + (numpy_x_grad, torch_x.grad), + ]) + + +def case_3(): + x = np.random.uniform(low=0.0, high=1.0, size=[3, 4]) + + numpy_log = Log() + numpy_out = numpy_log.forward(x) + numpy_x_grad = numpy_log.backward(np.ones_like(numpy_out)) + + torch_x = torch.from_numpy(x).clone().requires_grad_() + + torch_out = torch_log(torch_x) + torch_out.sum().backward() + + return check_result([ + (numpy_out, torch_out), + (numpy_x_grad, torch_x.grad), + ]) + + +def case_4(): + x = np.random.normal(size=[4, 5]) + + numpy_softmax = Softmax() + numpy_out = numpy_softmax.forward(x) + + torch_x = torch.from_numpy(x).clone().requires_grad_() + + torch_out = torch_softmax(torch_x, 1) + + return check_result(numpy_out, torch_out) + + +def case_5(): + x = np.random.normal(size=[20, 25]) + + numpy_softmax = Softmax() + numpy_out = numpy_softmax.forward(x) + numpy_x_grad = numpy_softmax.backward(np.ones_like(numpy_out)) + + torch_x = torch.from_numpy(x).clone().requires_grad_() + + torch_out = torch_softmax(torch_x, 1) + torch_out.sum().backward() + + return check_result([ + (numpy_out, torch_out), + (numpy_x_grad, torch_x.grad), + ]) + + +def test_model(): + try: + numpy_model = NumpyModel() + torch_model = TorchModel() + torch_model.W1.data, torch_model.W2.data, torch_model.W3.data = get_torch_initialization(numpy=False) + numpy_model.W1 = torch_model.W1.detach().clone().numpy() + numpy_model.W2 = torch_model.W2.detach().clone().numpy() + numpy_model.W3 = torch_model.W3.detach().clone().numpy() + + x = torch.randn((10000, 28, 28)) + y = torch.tensor([1, 2, 3, 4, 5, 6, 7, 8, 9, 0] * 1000) + + y = one_hot(y, numpy=False) + x2 = x.numpy() + y_pred = torch_model.forward(x) + loss = (-y_pred * y).sum(dim=1).mean() + loss.backward() + + y_pred_numpy = numpy_model.forward(x2) + y2 = y.numpy() + loss_numpy = (-y_pred_numpy * y2).sum(axis=1).mean() + + + check_flag_1 = check_result(y_pred_numpy, y_pred) + print("+ {:12} {}/{}".format("forward", 10 * check_flag_1, 10)) + except: + print("[Runtime Error in forward]") + print("+ {:12} {}/{}".format("forward", 0, 10)) + return 0 + + try: + + numpy_model.backward(y2) + + check_flag_2 = [ + check_result(numpy_model.log_grad, torch_model.log.grad), + check_result(numpy_model.softmax_grad, torch_model.softmax.grad), + check_result(numpy_model.W3_grad, torch_model.W3.grad), + check_result(numpy_model.W2_grad, torch_model.W2.grad), + check_result(numpy_model.W1_grad, torch_model.W1.grad) + ] + check_flag_2 = sum(check_flag_2) >= 4 + print("+ {:12} {}/{}".format("backward", 20 * check_flag_2, 20)) + except: + print("[Runtime Error in backward]") + print("+ {:12} {}/{}".format("backward", 0, 20)) + check_flag_2 = False + + return 10 * check_flag_1 + 20 * check_flag_2 + + +if __name__ == "__main__": + testcases = [ + ["matmul", case_1, 5], + ["relu", case_2, 5], + ["log", case_3, 5], + ["softmax_1", case_4, 5], + ["softmax_2", case_5, 10], + ] + score = 0 + for case in testcases: + try: + res = case[2] if case[1]() else 0 + except: + print("[Runtime Error in {}]".format(case[0])) + res = 0 + score += res + print("+ {:12} {}/{}".format(case[0], res, case[2])) + score += test_model() + print("{:14} {}/60".format("FINAL SCORE", score)) diff --git a/assignment-2/submission/18307130104/torch_mnist.py b/assignment-2/submission/18307130104/torch_mnist.py new file mode 100644 index 0000000..6a5649b --- /dev/null +++ b/assignment-2/submission/18307130104/torch_mnist.py @@ -0,0 +1,64 @@ +import torch +from utils import mini_batch, batch, download_mnist, get_torch_initialization, one_hot, plot_curve + + +class TorchModel: + + def __init__(self): + self.W1 = torch.randn((28 * 28, 256), requires_grad=True) + self.W2 = torch.randn((256, 64), requires_grad=True) + self.W3 = torch.randn((64, 10), requires_grad=True) + + def forward(self, x): + x = x.reshape(-1, 28 * 28) + x = torch.relu(torch.matmul(x, self.W1)) + x = torch.relu(torch.matmul(x, self.W2)) + x = torch.matmul(x, self.W3) + self.softmax = torch.softmax(x, 1) + self.log = torch.log(self.softmax) + self.softmax.retain_grad() # for test only + self.log.retain_grad() # for test only + return self.log + + def optimize(self, learning_rate): + with torch.no_grad(): + self.W1 -= learning_rate * self.W1.grad + self.W2 -= learning_rate * self.W2.grad + self.W3 -= learning_rate * self.W3.grad + + self.W1.grad = None + self.W2.grad = None + self.W3.grad = None + + +def torch_run(): + train_dataset, test_dataset = download_mnist() + + model = TorchModel() + model.W1.data, model.W2.data, model.W3.data = get_torch_initialization(numpy=False) + + train_loss = [] + + epoch_number = 3 + learning_rate = 0.1 + + for epoch in range(epoch_number): + for x, y in mini_batch(train_dataset, numpy=False): + y = one_hot(y, numpy=False) + + y_pred = model.forward(x) + loss = (-y_pred * y).sum(dim=1).mean() + loss.backward() + model.optimize(learning_rate) + + train_loss.append(loss.item()) + + x, y = batch(test_dataset, numpy=False)[0] + accuracy = model.forward(x).argmax(dim=1).eq(y).float().mean().item() + print('[{}] Accuracy: {:.4f}'.format(epoch, accuracy)) + + plot_curve(train_loss) + + +if __name__ == "__main__": + torch_run() diff --git a/assignment-2/submission/18307130104/utils.py b/assignment-2/submission/18307130104/utils.py new file mode 100644 index 0000000..709220c --- /dev/null +++ b/assignment-2/submission/18307130104/utils.py @@ -0,0 +1,71 @@ +import torch +import numpy as np +from matplotlib import pyplot as plt + + +def plot_curve(data): + plt.plot(range(len(data)), data, color='blue') + plt.legend(['loss_value'], loc='upper right') + plt.xlabel('step') + plt.ylabel('value') + plt.show() + + +def download_mnist(): + from torchvision import datasets, transforms + + transform = transforms.Compose([ + transforms.ToTensor(), + transforms.Normalize(mean=(0.1307,), std=(0.3081,)) + ]) + + train_dataset = datasets.MNIST(root="./data/", transform=transform, train=True, download=True) + test_dataset = datasets.MNIST(root="./data/", transform=transform, train=False, download=True) + + return train_dataset, test_dataset + + +def one_hot(y, numpy=True): + if numpy: + y_ = np.zeros((y.shape[0], 10)) + y_[np.arange(y.shape[0], dtype=np.int32), y] = 1 + return y_ + else: + y_ = torch.zeros((y.shape[0], 10)) + y_[torch.arange(y.shape[0], dtype=torch.long), y] = 1 + return y_ + + +def batch(dataset, numpy=True): + data = [] + label = [] + for each in dataset: + data.append(each[0]) + label.append(each[1]) + data = torch.stack(data) + label = torch.LongTensor(label) + if numpy: + return [(data.numpy(), label.numpy())] + else: + return [(data, label)] + + +def mini_batch(dataset, batch_size=128, numpy=False): + return torch.utils.data.DataLoader(dataset, batch_size=batch_size, shuffle=True) + + +def get_torch_initialization(numpy=True): + fc1 = torch.nn.Linear(28 * 28, 256) + fc2 = torch.nn.Linear(256, 64) + fc3 = torch.nn.Linear(64, 10) + + if numpy: + W1 = fc1.weight.T.detach().clone().numpy() + W2 = fc2.weight.T.detach().clone().numpy() + W3 = fc3.weight.T.detach().clone().numpy() + else: + W1 = fc1.weight.T.detach().clone().data + W2 = fc2.weight.T.detach().clone().data + W3 = fc3.weight.T.detach().clone().data + + return W1, W2, W3 -- Gitee From 320ad1d7b150b99c7964facbf84168d3568d86a6 Mon Sep 17 00:00:00 2001 From: unicornt Date: Fri, 16 Apr 2021 08:46:33 +0800 Subject: [PATCH 19/35] sync --- .../submission/18307130104/numpy_fnn.py | 35 ++++++++++++++----- 1 file changed, 27 insertions(+), 8 deletions(-) diff --git a/assignment-2/submission/18307130104/numpy_fnn.py b/assignment-2/submission/18307130104/numpy_fnn.py index 150ab17..f8ee960 100644 --- a/assignment-2/submission/18307130104/numpy_fnn.py +++ b/assignment-2/submission/18307130104/numpy_fnn.py @@ -24,7 +24,8 @@ class Matmul(NumpyOp): """ grad_y: shape(N, d') """ - + grad_x = np.prodcut(grad_y, self.memory['W']) + grad_W = np.product(grad_y, self.memory['x']) #################### # code 1 # #################### @@ -46,7 +47,7 @@ class Relu(NumpyOp): #################### # code 2 # #################### - + grad_x = np.product(grad_y, np.where(x > 0, 1, np.zeros_like(x))) return grad_x @@ -66,7 +67,7 @@ class Log(NumpyOp): """ grad_y: same shape as x """ - + grad_x = np.product(grad_y, np.reciprocal(self.memeory['x'])) #################### # code 3 # #################### @@ -83,10 +84,11 @@ class Softmax(NumpyOp): """ x: shape(N, c) """ - #################### # code 4 # #################### + out = np.reciprocal(np.add(np.ones_like(x), np.exp(x))) + self.memory['x'] = x return out @@ -98,7 +100,9 @@ class Softmax(NumpyOp): #################### # code 5 # #################### - + grad_x_1 = np.reciprocal(np.add(np.ones_like(self.memory['x']), np.exp(self.memory['x']))) + grad_x = np.product(grad_y, np.product(grad_x_1, np.subtract(np.ones_like(self.memory['x']), grad_x_1))) + return grad_x @@ -134,7 +138,14 @@ class NumpyModel: #################### # code 6 # #################### - + x = self.matmul_1.forward(x, self.W1) + x = self.relu_1.forward(x) + x = self.matmul_2.forward(x, self.W2) + x = self.relu_2.forward(x) + x = self.matmul_3.forward(x, self.W3) + x = self.softmax.forward(x) + x = self.log.forward(x) + return x def backward(self, y): @@ -144,8 +155,16 @@ class NumpyModel: #################### # code 7 # #################### - - pass + self.log_grad = y = self.log.backward(y) + self.softmax_grad = y = self.softmax.backward(y) + y, self.W3_grad = self.matmul_3.backward(y) + self.x3_grad = y + self.relu_2_grad = y = self.relu_2.backward(y) + y, self.W2_grad = self.matmul_2.backward(y) + self.x2_grad = y + self.relu_1_grad = y = self.relu_1.backward(y) + self.x1_grad = y = self.matmul_1.backward(y) + return y def optimize(self, learning_rate): self.W1 -= learning_rate * self.W1_grad -- Gitee From acbf8d4abe6faa30ce066315a475cb67dbcfb0c7 Mon Sep 17 00:00:00 2001 From: unicornt Date: Mon, 19 Apr 2021 15:11:00 +0800 Subject: [PATCH 20/35] finish 40/60 --- .../submission/18307130104/numpy_fnn.py | 60 ++++++++++++++----- .../submission/18307130104/tester_demo.py | 14 +++-- 2 files changed, 53 insertions(+), 21 deletions(-) diff --git a/assignment-2/submission/18307130104/numpy_fnn.py b/assignment-2/submission/18307130104/numpy_fnn.py index f8ee960..78112c5 100644 --- a/assignment-2/submission/18307130104/numpy_fnn.py +++ b/assignment-2/submission/18307130104/numpy_fnn.py @@ -24,11 +24,13 @@ class Matmul(NumpyOp): """ grad_y: shape(N, d') """ - grad_x = np.prodcut(grad_y, self.memory['W']) - grad_W = np.product(grad_y, self.memory['x']) #################### # code 1 # #################### + print(grad_y) + # print(self.memory['W'].T) + grad_x = np.matmul(grad_y, self.memory['W'].T) + grad_W = np.matmul(self.memory['x'].T, grad_y) return grad_x, grad_W @@ -47,7 +49,7 @@ class Relu(NumpyOp): #################### # code 2 # #################### - grad_x = np.product(grad_y, np.where(x > 0, 1, np.zeros_like(x))) + grad_x = grad_y * np.where(self.memory['x'] > 0, np.ones_like(self.memory['x']), np.zeros_like(self.memory['x'])) return grad_x @@ -67,7 +69,7 @@ class Log(NumpyOp): """ grad_y: same shape as x """ - grad_x = np.product(grad_y, np.reciprocal(self.memeory['x'])) + grad_x = grad_y * np.reciprocal(self.memory['x']) #################### # code 3 # #################### @@ -87,10 +89,8 @@ class Softmax(NumpyOp): #################### # code 4 # #################### - out = np.reciprocal(np.add(np.ones_like(x), np.exp(x))) self.memory['x'] = x - - return out + return (np.exp(x) / (np.sum(np.exp(x), axis = 1, keepdims = True))) def backward(self, grad_y): """ @@ -100,10 +100,26 @@ class Softmax(NumpyOp): #################### # code 5 # #################### - grad_x_1 = np.reciprocal(np.add(np.ones_like(self.memory['x']), np.exp(self.memory['x']))) - grad_x = np.product(grad_y, np.product(grad_x_1, np.subtract(np.ones_like(self.memory['x']), grad_x_1))) - - return grad_x + x = self.memory['x'] + expx = np.exp(x) + sumx = np.sum(expx, axis = 1, keepdims = True) + softx = expx / sumx + print(sumx.shape) + [n, m] = x.shape + out = [] + for i in range(n): + out.append([]) + for j in range(m): + out[i].append(0) + for k in range(m): + if j == k: + out[i][j] += 1 - softx[i][j] + else: + out[i][j] += -softx[i][k] + out[i][j] *= softx[i][j] + grad_x = np.array(out) + + return grad_x * grad_y class NumpyModel: @@ -151,19 +167,31 @@ class NumpyModel: def backward(self, y): for size in y.shape: y /= size + print('backward', y) #################### # code 7 # #################### - self.log_grad = y = self.log.backward(y) - self.softmax_grad = y = self.softmax.backward(y) + y = self.log.backward(y) + self.log_grad = y + + y = self.softmax.backward(y) + self.softmax_grad = y + y, self.W3_grad = self.matmul_3.backward(y) self.x3_grad = y - self.relu_2_grad = y = self.relu_2.backward(y) + + y = self.relu_2.backward(y) + self.relu_2_grad = y + y, self.W2_grad = self.matmul_2.backward(y) self.x2_grad = y - self.relu_1_grad = y = self.relu_1.backward(y) - self.x1_grad = y = self.matmul_1.backward(y) + + y = self.relu_1.backward(y) + self.relu_1_grad = y + + y, self.W1_grad = self.matmul_1.backward(y) + self.x1_grad = y return y def optimize(self, learning_rate): diff --git a/assignment-2/submission/18307130104/tester_demo.py b/assignment-2/submission/18307130104/tester_demo.py index acc373b..6da181f 100644 --- a/assignment-2/submission/18307130104/tester_demo.py +++ b/assignment-2/submission/18307130104/tester_demo.py @@ -7,6 +7,7 @@ from torch_mnist import TorchModel from utils import get_torch_initialization, one_hot err_epsilon = 1e-3 +err_p = 0.4 def check_result(numpy_result, torch_result=None): @@ -15,13 +16,18 @@ def check_result(numpy_result, torch_result=None): for (n, t) in numpy_result: flag = flag and check_result(n, t) return flag - return ((torch.from_numpy(numpy_result) - torch_result).abs().mean() < err_epsilon).item() + T = (torch_result * torch.from_numpy(numpy_result) < 0).sum().item() + # print('err', T / torch_result.numel(), (torch.from_numpy(numpy_result) - torch_result).abs().mean()) + # print(torch_result) + # print(numpy_result) + direction = T / torch_result.numel() < err_p + return direction and ((torch.from_numpy(numpy_result) - torch_result).abs().mean() < err_epsilon).item() def case_1(): x = np.random.normal(size=[5, 6]) W = np.random.normal(size=[6, 4]) - + numpy_matmul = Matmul() numpy_out = numpy_matmul.forward(x, W) numpy_x_grad, numpy_W_grad = numpy_matmul.backward(np.ones_like(numpy_out)) @@ -128,7 +134,6 @@ def test_model(): y2 = y.numpy() loss_numpy = (-y_pred_numpy * y2).sum(axis=1).mean() - check_flag_1 = check_result(y_pred_numpy, y_pred) print("+ {:12} {}/{}".format("forward", 10 * check_flag_1, 10)) except: @@ -137,9 +142,8 @@ def test_model(): return 0 try: - numpy_model.backward(y2) - + check_flag_2 = [ check_result(numpy_model.log_grad, torch_model.log.grad), check_result(numpy_model.softmax_grad, torch_model.softmax.grad), -- Gitee From 67bd59d65bccb3351e748c7ca796f82fcbd327a1 Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 20 Apr 2021 14:45:40 +0800 Subject: [PATCH 21/35] finish test with 0.9 acc --- .../submission/18307130104/numpy_fnn.py | 31 +++++++++++-------- .../submission/18307130104/numpy_mnist.py | 4 +-- .../submission/18307130104/tester_demo.py | 10 ++++-- 3 files changed, 28 insertions(+), 17 deletions(-) diff --git a/assignment-2/submission/18307130104/numpy_fnn.py b/assignment-2/submission/18307130104/numpy_fnn.py index 78112c5..27260d1 100644 --- a/assignment-2/submission/18307130104/numpy_fnn.py +++ b/assignment-2/submission/18307130104/numpy_fnn.py @@ -27,7 +27,7 @@ class Matmul(NumpyOp): #################### # code 1 # #################### - print(grad_y) + # print(grad_y) # print(self.memory['W'].T) grad_x = np.matmul(grad_y, self.memory['W'].T) grad_W = np.matmul(self.memory['x'].T, grad_y) @@ -60,7 +60,7 @@ class Log(NumpyOp): x: shape(N, c) """ - out = np.log(x + self.epsilon) + out = np.log(x) self.memory['x'] = x return out @@ -90,7 +90,9 @@ class Softmax(NumpyOp): # code 4 # #################### self.memory['x'] = x - return (np.exp(x) / (np.sum(np.exp(x), axis = 1, keepdims = True))) + expx = np.exp(x) + sumx = np.sum(expx, axis = 1, keepdims = True) + return (expx / sumx) def backward(self, grad_y): """ @@ -101,25 +103,23 @@ class Softmax(NumpyOp): # code 5 # #################### x = self.memory['x'] - expx = np.exp(x) - sumx = np.sum(expx, axis = 1, keepdims = True) - softx = expx / sumx - print(sumx.shape) + softx = self.forward(x) + # print(sumx.shape) [n, m] = x.shape out = [] + # print(grad_y) for i in range(n): out.append([]) for j in range(m): out[i].append(0) for k in range(m): if j == k: - out[i][j] += 1 - softx[i][j] + out[i][j] += (1 - softx[i][k]) * softx[i][k] * grad_y[i][k] else: - out[i][j] += -softx[i][k] - out[i][j] *= softx[i][j] + out[i][j] += -softx[i][j] * softx[i][k] * grad_y[i][k] grad_x = np.array(out) - return grad_x * grad_y + return grad_x class NumpyModel: @@ -146,6 +146,7 @@ class NumpyModel: self.x3_grad, self.W3_grad = None, None self.softmax_grad = None self.log_grad = None + def forward(self, x): @@ -162,17 +163,21 @@ class NumpyModel: x = self.softmax.forward(x) x = self.log.forward(x) + # print(x) return x def backward(self, y): for size in y.shape: y /= size - print('backward', y) + # print(size) + # print('backward', y) + # print(y) #################### # code 7 # #################### - y = self.log.backward(y) + + y = self.log.backward(-y) self.log_grad = y y = self.softmax.backward(y) diff --git a/assignment-2/submission/18307130104/numpy_mnist.py b/assignment-2/submission/18307130104/numpy_mnist.py index 903d7a7..37bbe4c 100644 --- a/assignment-2/submission/18307130104/numpy_mnist.py +++ b/assignment-2/submission/18307130104/numpy_mnist.py @@ -15,7 +15,7 @@ def numpy_run(): learning_rate = 0.1 for epoch in range(epoch_number): - for x, y in mini_batch(train_dataset): + for x, y in mini_batch(train_dataset, numpy=True): y = one_hot(y) y_pred = model.forward(x.numpy()) @@ -25,7 +25,7 @@ def numpy_run(): train_loss.append(loss.item()) - x, y = batch(test_dataset)[0] + x, y = batch(test_dataset, numpy=True)[0] accuracy = np.mean((model.forward(x).argmax(axis=1) == y)) print('[{}] Accuracy: {:.4f}'.format(epoch, accuracy)) diff --git a/assignment-2/submission/18307130104/tester_demo.py b/assignment-2/submission/18307130104/tester_demo.py index 6da181f..a874442 100644 --- a/assignment-2/submission/18307130104/tester_demo.py +++ b/assignment-2/submission/18307130104/tester_demo.py @@ -17,7 +17,7 @@ def check_result(numpy_result, torch_result=None): flag = flag and check_result(n, t) return flag T = (torch_result * torch.from_numpy(numpy_result) < 0).sum().item() - # print('err', T / torch_result.numel(), (torch.from_numpy(numpy_result) - torch_result).abs().mean()) + print('err', T / torch_result.numel(), (torch.from_numpy(numpy_result) - torch_result).abs().mean()) # print(torch_result) # print(numpy_result) direction = T / torch_result.numel() < err_p @@ -106,6 +106,9 @@ def case_5(): torch_out = torch_softmax(torch_x, 1) torch_out.sum().backward() + # print(numpy_out, torch_out) + # print(numpy_x_grad, torch_x.grad) + return check_result([ (numpy_out, torch_out), (numpy_x_grad, torch_x.grad), @@ -142,8 +145,11 @@ def test_model(): return 0 try: + # print(y_pred, y_pred_numpy) numpy_model.backward(y2) - + + # print(numpy_model.softmax_grad, torch_model.softmax.grad) + check_flag_2 = [ check_result(numpy_model.log_grad, torch_model.log.grad), check_result(numpy_model.softmax_grad, torch_model.softmax.grad), -- Gitee From 2d06a2aad70c60bfb2ee54a377ca5094414de803 Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 20 Apr 2021 16:59:34 +0800 Subject: [PATCH 22/35] change backward code, finish with 0.97 acc --- assignment-2/submission/18307130104/numpy_fnn.py | 14 ++++++++++---- assignment-2/submission/18307130104/numpy_mnist.py | 2 +- assignment-2/submission/18307130104/tester_demo.py | 2 +- assignment-2/submission/18307130104/utils.py | 12 +++++++++++- 4 files changed, 23 insertions(+), 7 deletions(-) diff --git a/assignment-2/submission/18307130104/numpy_fnn.py b/assignment-2/submission/18307130104/numpy_fnn.py index 27260d1..69e6aa4 100644 --- a/assignment-2/submission/18307130104/numpy_fnn.py +++ b/assignment-2/submission/18307130104/numpy_fnn.py @@ -60,7 +60,7 @@ class Log(NumpyOp): x: shape(N, c) """ - out = np.log(x) + out = np.log(x + self.epsilon) self.memory['x'] = x return out @@ -69,7 +69,7 @@ class Log(NumpyOp): """ grad_y: same shape as x """ - grad_x = grad_y * np.reciprocal(self.memory['x']) + grad_x = grad_y * np.reciprocal(self.memory['x'] + self.epsilon) #################### # code 3 # #################### @@ -114,6 +114,7 @@ class Softmax(NumpyOp): out[i].append(0) for k in range(m): if j == k: + # print(softx[i][k], grad_y[i][k]) out[i][j] += (1 - softx[i][k]) * softx[i][k] * grad_y[i][k] else: out[i][j] += -softx[i][j] * softx[i][k] * grad_y[i][k] @@ -161,14 +162,18 @@ class NumpyModel: x = self.relu_2.forward(x) x = self.matmul_3.forward(x, self.W3) x = self.softmax.forward(x) + # print(x) x = self.log.forward(x) # print(x) return x def backward(self, y): - for size in y.shape: - y /= size + # print(y) + # print(y.shape) + y /= y.shape[0] + # for size in y.shape: + # y /= size # print(size) # print('backward', y) # print(y) @@ -179,6 +184,7 @@ class NumpyModel: y = self.log.backward(-y) self.log_grad = y + # print(y) y = self.softmax.backward(y) self.softmax_grad = y diff --git a/assignment-2/submission/18307130104/numpy_mnist.py b/assignment-2/submission/18307130104/numpy_mnist.py index 37bbe4c..bba1553 100644 --- a/assignment-2/submission/18307130104/numpy_mnist.py +++ b/assignment-2/submission/18307130104/numpy_mnist.py @@ -18,7 +18,7 @@ def numpy_run(): for x, y in mini_batch(train_dataset, numpy=True): y = one_hot(y) - y_pred = model.forward(x.numpy()) + y_pred = model.forward(x) loss = (-y_pred * y).sum(axis=1).mean() model.backward(y) model.optimize(learning_rate) diff --git a/assignment-2/submission/18307130104/tester_demo.py b/assignment-2/submission/18307130104/tester_demo.py index a874442..eae4203 100644 --- a/assignment-2/submission/18307130104/tester_demo.py +++ b/assignment-2/submission/18307130104/tester_demo.py @@ -148,7 +148,7 @@ def test_model(): # print(y_pred, y_pred_numpy) numpy_model.backward(y2) - # print(numpy_model.softmax_grad, torch_model.softmax.grad) + print(numpy_model.softmax_grad, torch_model.softmax.grad) check_flag_2 = [ check_result(numpy_model.log_grad, torch_model.log.grad), diff --git a/assignment-2/submission/18307130104/utils.py b/assignment-2/submission/18307130104/utils.py index 709220c..63b833b 100644 --- a/assignment-2/submission/18307130104/utils.py +++ b/assignment-2/submission/18307130104/utils.py @@ -51,7 +51,17 @@ def batch(dataset, numpy=True): def mini_batch(dataset, batch_size=128, numpy=False): - return torch.utils.data.DataLoader(dataset, batch_size=batch_size, shuffle=True) + if numpy: + import random + datas = [(each[0].numpy(), each[1]) for each in dataset] + random.shuffle(datas) + datat = [each[0] for each in datas] + labelt = [each[1] for each in datas] + data = [np.array(datat[i: i + batch_size]) for i in range(0, len(datat), batch_size)] + label = [np.array(labelt[i: i + batch_size]) for i in range(0, len(datat), batch_size)] + return zip(data, label) + else: + return torch.utils.data.DataLoader(dataset, batch_size=batch_size, shuffle=True) def get_torch_initialization(numpy=True): -- Gitee From 3a904025c3a004ccc1619290cba53096ec6cc2b3 Mon Sep 17 00:00:00 2001 From: unicornt Date: Tue, 20 Apr 2021 23:39:41 +0800 Subject: [PATCH 23/35] add report --- assignment-2/submission/18307130104/README.md | 75 +++++++++++++++++++ 1 file changed, 75 insertions(+) create mode 100644 assignment-2/submission/18307130104/README.md diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md new file mode 100644 index 0000000..abda0ac --- /dev/null +++ b/assignment-2/submission/18307130104/README.md @@ -0,0 +1,75 @@ +18307130104 + +# 课程报告 + +这是 prml 的 assignment-2 课程报告,我的代码可以查看 numpy_fnn.py 中 code 1 ~ code 7 部分,以及 util.py 中 mini_batch 函数 numpy == True 的部分。 + +在 assignment-2 中,完成了 numpy_fnn.py 中各种算子的反向传播,以及一个简单的前馈神经网络构建(包括正向传播和反向传播)。修改了 mini_batch,在 numpy == True 的情况下,不使用 torch 中的 dataloader 函数完成测试集的打乱和分批。 + +## 模型实现 + +### Matmul 算子的反向传播 + +Matmul 算子输入一个 X 和 权重W,输出 $$[Y] = [X] \times [W]$$。 + +对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$。 + +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ + +由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ + +故 $grad\_x_{ij}=\sum_k W_{jk} *grad\_y_{ik}$ + +所以 $[grad\_x] = [grad_y] \times [W^T]$ + +同理,可以得到$[grad\_W]=[x^T]\times [grad_y]$ + +经过验证,矩阵的大小符合规则。 + +### Relu 算子的反向传播 + +$relu(x) = \begin{cases}0 & x < 0 \\ x & otherwise \end{cases}$ + +可以得到 + +$relu^{'}(x) = \begin{cases}0 & x < 0 \\ 1 & otherwise \end{cases}$ + +故 + +$[relu\_grad]=[grad\_y]\times [relu^{'}]$ + +### Log 算子的反向传播 + +$log(x) = \ln x$ + +可以得到 + +$log^{'}(x)=\frac 1 x$ + +故 + +$[log\_grad]=[grad\_y]\times [log^{'}]$ + +### softmax 算子的反向传播 + +$softmax(x_i) = \frac {e^{x_i}}{\sum_j e^{x_j}}$ + +在实现过程中,因为每一行代表一个测试数据点,所以以每一行为整体对每个元素进行 softmax 操作,从而达成对每个测试数据点进行分类的目的。 + +采用 softmax 算子和交叉熵损失函数可以让损失函数的形式比较简单,但是遗憾的是实现的神经网络要求将两个算子的反向传播操作分开,因此没有办法投机取巧,只能分步进行计算。 + +为了表达方便,不妨令 $a_i = softmax(x_i)$ + +下面考虑$a_i$对$x_j$的反向传播。 + +$a_i = \frac{e^{x_i}}{\sum_k e^{x_k}}$ + +$\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})$ + +接下来根据 i 和 j 是否相等分情况进行讨论。 + +若 i == j,则 $\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=\frac{e^{x_i}*(\sum_j e^{x_j})-e^{z_i}*e^{z_i}}{(\sum_k e^{x_k})^2}=a_i*(1-a_i)$ + +若 i != j,则$\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=-\frac{e^{x_i}*e^{x_j}}{(\sum_k e^{x_k})^2}=-a_i*a_j$ + +由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 \ No newline at end of file -- Gitee From 5cda5e1aa0b32b7c3a9b3000929f35cf4fa77893 Mon Sep 17 00:00:00 2001 From: unicornt Date: Wed, 21 Apr 2021 15:53:04 +0800 Subject: [PATCH 24/35] edit report --- assignment-2/submission/18307130104/README.md | 21 ++++++++++++++++--- 1 file changed, 18 insertions(+), 3 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index abda0ac..97a4714 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -8,6 +8,8 @@ ## 模型实现 +为了区别矩阵乘法(np.matmul)和矩阵元素逐一做乘法(\*),下面用$\times$表示矩阵乘法,\*表示元素逐一相乘。 + ### Matmul 算子的反向传播 Matmul 算子输入一个 X 和 权重W,输出 $$[Y] = [X] \times [W]$$。 @@ -36,7 +38,7 @@ $relu^{'}(x) = \begin{cases}0 & x < 0 \\ 1 & otherwise \end{cases}$ 故 -$[relu\_grad]=[grad\_y]\times [relu^{'}]$ +$[relu\_grad]=[grad\_y]* [relu^{'}]$ ### Log 算子的反向传播 @@ -48,7 +50,7 @@ $log^{'}(x)=\frac 1 x$ 故 -$[log\_grad]=[grad\_y]\times [log^{'}]$ +$[log\_grad]=[grad\_y]* [log^{'}]$ ### softmax 算子的反向传播 @@ -72,4 +74,17 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 若 i != j,则$\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=-\frac{e^{x_i}*e^{x_j}}{(\sum_k e^{x_k})^2}=-a_i*a_j$ -由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 \ No newline at end of file +结合 grad_y,可以得到 + +$grad\_x_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grad\_y_{ik}$ + +由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 + +### 模型正向传播 + +模型每一层的输出作为下一层的输入,最后得到的是经过 Log 计算的 softmax 结果,这样就能很方便的进行交叉熵损失函数的计算。 + +### 模型反向传播 + +模型进行反向传播的时候会输入一个每行为一个独热向量的矩阵,表示每个数据集的类别,初始代码中会将矩阵中所有元素都除以矩阵的大小,但是经过的尝试,需要将所有元素除以训练数据的组数才能保证结果正确。同时,虽然通过了测试,但是 softmax 层的输出也和 torch 中的结果有不同,而后面层的输出是正确的。我认定我理解的 softmax 层和 torch 实现的 softmax 层有一定区别。 + -- Gitee From 779cb7d006795b2790639264d9646aa18af8408f Mon Sep 17 00:00:00 2001 From: unicornt Date: Thu, 22 Apr 2021 10:43:31 +0800 Subject: [PATCH 25/35] add image --- assignment-2/submission/18307130104/README.md | 19 ++++++++++++++++++ .../submission/18307130104/img/result.png | Bin 0 -> 23174 bytes assignment-2/submission/18307130104/utils.py | 4 ++-- 3 files changed, 21 insertions(+), 2 deletions(-) create mode 100644 assignment-2/submission/18307130104/img/result.png diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index 97a4714..6ff7d84 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -88,3 +88,22 @@ $grad\_x_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w} 模型进行反向传播的时候会输入一个每行为一个独热向量的矩阵,表示每个数据集的类别,初始代码中会将矩阵中所有元素都除以矩阵的大小,但是经过的尝试,需要将所有元素除以训练数据的组数才能保证结果正确。同时,虽然通过了测试,但是 softmax 层的输出也和 torch 中的结果有不同,而后面层的输出是正确的。我认定我理解的 softmax 层和 torch 实现的 softmax 层有一定区别。 +接下来推导反向传播时 Log 层的输入。 + +交叉熵损失函数的形式为 + +$Loss = -\sum_k t_k*\ln a_k$ + +其中 $t_k$表示是否属于第 k 个类别,$a_k$为 softmax 层的输出,Log 层的输出为$\ln a_k$,则$\frac{\partial Loss}{\partial \ln a_k}=-t_k$ + +## 模型训练 + +三轮训练的正确率如下 + +> [0] Accuracy: 0.9464 +> [1] Accuracy: 0.9622 +> [2] Accuracy: 0.9719 + +损失随训练轮数变化如下图所示 + +loss \ No newline at end of file diff --git a/assignment-2/submission/18307130104/img/result.png b/assignment-2/submission/18307130104/img/result.png new file mode 100644 index 0000000000000000000000000000000000000000..ca719fa82e1abd9f0c22eecda4a3c63648e152d1 GIT binary patch literal 23174 zcmeGEXH-+sw>}DQiXt5gic&2I(iMS1kp?!ISjs$?HT|JG|XSRVJ22K>2ZV(xbP_DywnJFXL+ai@8dFzebCE~RMGCMeMMnP4Dy9`bgzO&2^3NvXE^75=YXwv^q(`gsX}Gw!bZPbB z#?W=M=7}~Y31B+!q#PB-z`szx7_9&VsXaRj(L&G#uK(}D|1*1_;f8p zDUPwIb3jFz!TYgi2+>T^8O(9pQ6t*t$0y(e-V z+L(?4l9bkG^LcTe>3!p%8nom5FPt{Ho?cscz2}`U^f? z3p+etPiPVi2n0_?&Sky!{KhDh?=ps57_F1EK#eLa@AQ6oRh5o zhCL@Ir$bw;V4+z}=~d^EZ2!##jo6F#K4fa8T%8YNSJnM=`|ZX)5xe;3i#2Bx?(?JX z8^6y-+pqm?vw;gW?ch=z#~bRp6c@!b^xWOQ@cB;Ac+GWR3m`5Jl+=tDI+Zn6iv=3} zS}bcWjW{l}FrSxU6wRkn>A>mPbL)YjJSkNRzPW3yAB5heyX|S6Wv!9dztx&!=7r 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plt.show() + plt.savefig('./img/result.png') + # plt.show() def download_mnist(): -- Gitee From cdef19925bb7d9a45cb959faa12254d4bdc357c1 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:38:51 +0800 Subject: [PATCH 26/35] fix display bug --- assignment-2/submission/18307130104/README.md | 66 ++++++++++++++---- .../submission/18307130104/img/result-1.png | Bin 0 -> 17666 bytes .../submission/18307130104/img/result-2.png | Bin 0 -> 18691 bytes .../submission/18307130104/img/result.png | Bin 23174 -> 0 bytes .../submission/18307130104/numpy_mnist.py | 4 +- 5 files changed, 53 insertions(+), 17 deletions(-) create mode 100644 assignment-2/submission/18307130104/img/result-1.png create mode 100644 assignment-2/submission/18307130104/img/result-2.png delete mode 100644 assignment-2/submission/18307130104/img/result.png diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index 6ff7d84..722a321 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -12,15 +12,15 @@ ### Matmul 算子的反向传播 -Matmul 算子输入一个 X 和 权重W,输出 $$[Y] = [X] \times [W]$$。 +Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ -对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$。 +对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -故 $grad\_x_{ij}=\sum_k W_{jk} *grad\_y_{ik}$ +故 $grad\\_x_{ij}=\sum_k W_{jk} *grad\\_y_{ik}$ 所以 $[grad\_x] = [grad_y] \times [W^T]$ @@ -30,11 +30,13 @@ Matmul 算子输入一个 X 和 权重W,输出 $$[Y] = [X] \times [W]$$。 ### Relu 算子的反向传播 -$relu(x) = \begin{cases}0 & x < 0 \\ x & otherwise \end{cases}$ +relu 函数的计算规则如下: -可以得到 +$relu(x) = \begin{cases}0 & x < 0 \\\\ x & otherwise \end{cases}$ + +求导可以得到 -$relu^{'}(x) = \begin{cases}0 & x < 0 \\ 1 & otherwise \end{cases}$ +$relu^{'}(x) = \begin{cases}0 & x < 0 \\\\ 1 & otherwise \end{cases}$ 故 @@ -76,13 +78,13 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 结合 grad_y,可以得到 -$grad\_x_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grad\_y_{ik}$ +$grad\\_x_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grad\_y_{ik}$ 由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 ### 模型正向传播 -模型每一层的输出作为下一层的输入,最后得到的是经过 Log 计算的 softmax 结果,这样就能很方便的进行交叉熵损失函数的计算。 +模型每一层的输出作为下一层的输入,最后得到的是经过 Log 计算的 softmax 结果,这样就能很方便的进行交叉熵损失函数的计算。同时经过“模型反向传播”中的分析可以知道,这样设计使反向传播时的输入也非常简便。 ### 模型反向传播 @@ -96,14 +98,48 @@ $Loss = -\sum_k t_k*\ln a_k$ 其中 $t_k$表示是否属于第 k 个类别,$a_k$为 softmax 层的输出,Log 层的输出为$\ln a_k$,则$\frac{\partial Loss}{\partial \ln a_k}=-t_k$ -## 模型训练 +因此,将输入到反向传播的矩阵 T 取反作为 Log 层的反向传播输入,然后将结果作为前一层的输入逐一反向传播。 -三轮训练的正确率如下 +## 模型训练 -> [0] Accuracy: 0.9464 -> [1] Accuracy: 0.9622 -> [2] Accuracy: 0.9719 +随着训练轮数增长,训练的正确率如下 + +> [0] Accuracy: 0.9497 +> [1] Accuracy: 0.9666 +> [2] Accuracy: 0.9733 +> [3] Accuracy: 0.9735 +> [4] Accuracy: 0.9765 +> [5] Accuracy: 0.9781 +> [6] Accuracy: 0.9788 +> [7] Accuracy: 0.9798 +> [8] Accuracy: 0.9799 +> [9] Accuracy: 0.9774 +> [10] Accuracy: 0.9789 +> [11] Accuracy: 0.9815 +> [12] Accuracy: 0.9817 +> [13] Accuracy: 0.9809 +> [14] Accuracy: 0.9807 +> [15] Accuracy: 0.9821 +> [16] Accuracy: 0.9813 +> [17] Accuracy: 0.9815 +> [18] Accuracy: 0.9820 +> [19] Accuracy: 0.9811 损失随训练轮数变化如下图所示 -loss \ No newline at end of file +loss + +mini_batch = 64 + +> [0] Accuracy: 0.9492 +> [1] Accuracy: 0.9631 +> [2] Accuracy: 0.9758 +> [3] Accuracy: 0.9746 +> [4] Accuracy: 0.9801 +> [5] Accuracy: 0.9808 +> [6] Accuracy: 0.9813 +> [7] Accuracy: 0.9796 +> [8] Accuracy: 0.9800 +> [9] Accuracy: 0.9834 + +loss \ No newline at end of file diff --git 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zfb$dhD4b_)$Wr0vabb?z^UE1E5y}LijnNI+k+MtVSwu@nXe^YrYd?G zfP=B%8;l=#<)S|)^thE``X*tID1qJIs##86NUi-)MIFMQv(W_J238f`L+9jS&ogfo zdDq%A+dDekK!-^rk}{cZ^cV$JuTjYA(8MyeQT`keB{ZmHP>n3?T6i%7ZO=08Kp`4PuOx zs`}}n4`ac^M8OXehDP$p+t@IYT7d>w#hfd$MYWdJ$Y31=Z8X(YV7xJ06guAJA!`W$PTIk5J=7}#8--zbOgn-?eahTOciR@oxpR~jib#x4AegTD|!OD ztInG603!6n*0@0Wsm4T&0_Z`>4MVJi!J|lim>60OYb9TOwmrsUGp(Yv`bC!5ZG{DD z2+#t$sj>C?u5k2a=2bUU{=S}Akvo!A;yq4`@kFEeCm6UYI~?DOFKOG0;CSbs sg+G@d);K2;boKuomH+o4dd})nCL4ersi@fPcCsnjdEkeC0srptXaE2J diff --git a/assignment-2/submission/18307130104/numpy_mnist.py b/assignment-2/submission/18307130104/numpy_mnist.py index bba1553..107eab4 100644 --- a/assignment-2/submission/18307130104/numpy_mnist.py +++ b/assignment-2/submission/18307130104/numpy_mnist.py @@ -11,11 +11,11 @@ def numpy_run(): train_loss = [] - epoch_number = 3 + epoch_number = 10 learning_rate = 0.1 for epoch in range(epoch_number): - for x, y in mini_batch(train_dataset, numpy=True): + for x, y in mini_batch(train_dataset, batch_size = 64, numpy=True): y = one_hot(y) y_pred = model.forward(x) -- Gitee From 13286578c1b2d93f5efef10b94b395c1055162bf Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:40:09 +0800 Subject: [PATCH 27/35] fix display bug --- assignment-2/submission/18307130104/README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index 722a321..a365628 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -16,11 +16,11 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 ${grad\_x}_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -故 $grad\\_x_{ij}=\sum_k W_{jk} *grad\\_y_{ik}$ +故 ${grad\_x}_{ij}=\sum_k W_{jk} *{grad\_y}_{ik}$ 所以 $[grad\_x] = [grad_y] \times [W^T]$ @@ -78,7 +78,7 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 结合 grad_y,可以得到 -$grad\\_x_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grad\_y_{ik}$ +${grad\_x}_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * {grad\_y}_{ik}$ 由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 -- Gitee From 2855e77ae714a5e0b0e816e541b3889b322f9ab1 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:44:09 +0800 Subject: [PATCH 28/35] fix display bug --- assignment-2/submission/18307130104/README.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index a365628..c85bc15 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -16,13 +16,13 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 ${grad\_x}_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\_y_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 ${grad_x}_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * {grad_y}_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -故 ${grad\_x}_{ij}=\sum_k W_{jk} *{grad\_y}_{ik}$ +故 ${grad_x}_{ij}=\sum_k W_{jk} *{grad_y}_{ik}$ -所以 $[grad\_x] = [grad_y] \times [W^T]$ +所以 $[grad_x] = [grad_y] \times [W^T]$ 同理,可以得到$[grad\_W]=[x^T]\times [grad_y]$ @@ -40,7 +40,7 @@ $relu^{'}(x) = \begin{cases}0 & x < 0 \\\\ 1 & otherwise \end{cases}$ 故 -$[relu\_grad]=[grad\_y]* [relu^{'}]$ +$[relu-grad]=[grad_y]* [relu^{'}]$ ### Log 算子的反向传播 @@ -52,7 +52,7 @@ $log^{'}(x)=\frac 1 x$ 故 -$[log\_grad]=[grad\_y]* [log^{'}]$ +$[log-grad]=[grad_y]* [log^{'}]$ ### softmax 算子的反向传播 @@ -78,7 +78,7 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 结合 grad_y,可以得到 -${grad\_x}_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * {grad\_y}_{ik}$ +${grad_x}_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * {grad_y}_{ik}$ 由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 -- Gitee From 5a57c5c9faf0ec40a03eae1be9ca0853097fbcd8 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:46:18 +0800 Subject: [PATCH 29/35] fix display bug --- assignment-2/submission/18307130104/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index c85bc15..d36eecd 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -16,7 +16,7 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 ${grad_x}_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * {grad_y}_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\\_y_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -- Gitee From f323b1fed951c5a88822a38e8c214d5fdc396e2e Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:51:13 +0800 Subject: [PATCH 30/35] fix display bug --- assignment-2/submission/18307130104/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index d36eecd..b9673fa 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -16,7 +16,7 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\\_x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\\_y_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\text{_} x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\text{_} y_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -- Gitee From 06683cedf874a50a5efafab63053e4d4ad8ecbb8 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:55:49 +0800 Subject: [PATCH 31/35] fix display bug --- assignment-2/submission/18307130104/README.md | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index b9673fa..c7fbec2 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -16,15 +16,15 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 对于 Y 中的元素 $$Y_{ij}$$ 有$$Y_{ij}=\sum_{k}X_{ik} * W_{kj}$$ -在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $grad\text{_} x_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grad\text{_} y_{ik}$ +在计算 grad_x 的时候,已知 grad_y,根据链式法则,可以得到 $gradx_{ij}=\sum_{k}\frac{\partial Y_{ik}}{\partial X_{ij}} * grady_{ik}$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ 故 ${grad_x}_{ij}=\sum_k W_{jk} *{grad_y}_{ik}$ -所以 $[grad_x] = [grad_y] \times [W^T]$ +所以 $[gradx] = [grady] \times [W^T]$ -同理,可以得到$[grad\_W]=[x^T]\times [grad_y]$ +同理,可以得到$[gradW]=[x^T]\times [grady]$ 经过验证,矩阵的大小符合规则。 @@ -40,7 +40,7 @@ $relu^{'}(x) = \begin{cases}0 & x < 0 \\\\ 1 & otherwise \end{cases}$ 故 -$[relu-grad]=[grad_y]* [relu^{'}]$ +$[relu-grad]=[grady]* [relu^{'}]$ ### Log 算子的反向传播 @@ -52,7 +52,7 @@ $log^{'}(x)=\frac 1 x$ 故 -$[log-grad]=[grad_y]* [log^{'}]$ +$[log-grad]=[grady]* [log^{'}]$ ### softmax 算子的反向传播 @@ -76,9 +76,9 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 若 i != j,则$\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=-\frac{e^{x_i}*e^{x_j}}{(\sum_k e^{x_k})^2}=-a_i*a_j$ -结合 grad_y,可以得到 +结合 grady,可以得到 -${grad_x}_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * {grad_y}_{ik}$ +$gradx_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grady_{ik}$ 由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 -- Gitee From a01b18c0673cb66a4b7435fb4281d4da9782eca8 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 13:59:12 +0800 Subject: [PATCH 32/35] fix display bug --- assignment-2/submission/18307130104/README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index c7fbec2..0756315 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -20,7 +20,7 @@ Matmul 算子输入一个 X 和权重 W,输出 $$[Y] = [X] \times [W]$$ 由 $Y_{ij}$的计算公式可以得到,$\frac{\partial Y_{ik}}{\partial X_{ij}}=W_{jk}$ -故 ${grad_x}_{ij}=\sum_k W_{jk} *{grad_y}_{ik}$ +故 $gradx_{ij}=\sum_k W_{jk} *grady_{ik}$ 所以 $[gradx] = [grady] \times [W^T]$ @@ -72,13 +72,13 @@ $\frac {\partial a_i}{\partial x_j}=\frac{\partial}{\partial x_j}(\frac{e^{x_i}} 接下来根据 i 和 j 是否相等分情况进行讨论。 -若 i == j,则 $\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=\frac{e^{x_i}*(\sum_j e^{x_j})-e^{z_i}*e^{z_i}}{(\sum_k e^{x_k})^2}=a_i*(1-a_i)$ +若 i == j,则 $\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=\frac{e^{x_i}(\sum_j e^{x_j})-e^{z_i}e^{z_i}}{(\sum_k e^{x_k})^2}=a_i(1-a_i)$ -若 i != j,则$\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=-\frac{e^{x_i}*e^{x_j}}{(\sum_k e^{x_k})^2}=-a_i*a_j$ +若 i != j,则$\frac{\partial}{\partial x_j}(\frac{e^{x_i}}{\sum_k e^{x_k}})=-\frac{e^{x_i}e^{x_j}}{(\sum_k e^{x_k})^2}=-a_ia_j$ 结合 grady,可以得到 -$gradx_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) * grady_{ik}$ +$gradx_{ij}=\sum_k \frac{\partial}{\partial x_j}(\frac{e^{x_k}}{\sum_w e^{x_w}}) grady_{ik}$ 由于这个梯度的计算需要进行分类讨论,我没有想到可以直接用 numpy 中函数进行计算的方法,所以首先计算出一个 list 再转换成 ndarray 进行返回。 -- Gitee From 66cd4ccee3b877bfe6040ee4eb14ee50f5d31d3f Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 14:00:13 +0800 Subject: [PATCH 33/35] fix display bug --- assignment-2/submission/18307130104/README.md | 46 ++++++++----------- 1 file changed, 18 insertions(+), 28 deletions(-) diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index 0756315..921e14d 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -104,26 +104,16 @@ $Loss = -\sum_k t_k*\ln a_k$ 随着训练轮数增长,训练的正确率如下 -> [0] Accuracy: 0.9497 -> [1] Accuracy: 0.9666 -> [2] Accuracy: 0.9733 -> [3] Accuracy: 0.9735 -> [4] Accuracy: 0.9765 -> [5] Accuracy: 0.9781 -> [6] Accuracy: 0.9788 -> [7] Accuracy: 0.9798 -> [8] Accuracy: 0.9799 +> [0] Accuracy: 0.9497
+> [1] Accuracy: 0.9666
+> [2] Accuracy: 0.9733
+> [3] Accuracy: 0.9735
+> [4] Accuracy: 0.9765
+> [5] Accuracy: 0.9781
+> [6] Accuracy: 0.9788
+> [7] Accuracy: 0.9798
+> [8] Accuracy: 0.9799
> [9] Accuracy: 0.9774 -> [10] Accuracy: 0.9789 -> [11] Accuracy: 0.9815 -> [12] Accuracy: 0.9817 -> [13] Accuracy: 0.9809 -> [14] Accuracy: 0.9807 -> [15] Accuracy: 0.9821 -> [16] Accuracy: 0.9813 -> [17] Accuracy: 0.9815 -> [18] Accuracy: 0.9820 -> [19] Accuracy: 0.9811 损失随训练轮数变化如下图所示 @@ -131,15 +121,15 @@ $Loss = -\sum_k t_k*\ln a_k$ mini_batch = 64 -> [0] Accuracy: 0.9492 -> [1] Accuracy: 0.9631 -> [2] Accuracy: 0.9758 -> [3] Accuracy: 0.9746 -> [4] Accuracy: 0.9801 -> [5] Accuracy: 0.9808 -> [6] Accuracy: 0.9813 -> [7] Accuracy: 0.9796 -> [8] Accuracy: 0.9800 +> [0] Accuracy: 0.9492
+> [1] Accuracy: 0.9631
+> [2] Accuracy: 0.9758
+> [3] Accuracy: 0.9746
+> [4] Accuracy: 0.9801
+> [5] Accuracy: 0.9808
+> [6] Accuracy: 0.9813
+> [7] Accuracy: 0.9796
+> [8] Accuracy: 0.9800
> [9] Accuracy: 0.9834 loss \ No newline at end of file -- Gitee From 785ee595adfb05572727cd6b20b4e1a261a9c504 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sun, 25 Apr 2021 20:22:34 +0800 Subject: [PATCH 34/35] report edit --- assignment-2/submission/18307130104/README.md | 84 +++++++++++++----- .../submission/18307130104/img/result-1.png | Bin 17666 -> 18823 bytes .../submission/18307130104/img/result-2.png | Bin 18691 -> 21318 bytes .../submission/18307130104/img/result-3.png | Bin 0 -> 18495 bytes .../submission/18307130104/img/result-4.png | Bin 0 -> 21434 bytes .../submission/18307130104/img/result-5.png | Bin 0 -> 19886 bytes .../submission/18307130104/numpy_mnist.py | 4 +- assignment-2/submission/18307130104/utils.py | 4 +- 8 files changed, 67 insertions(+), 25 deletions(-) create mode 100644 assignment-2/submission/18307130104/img/result-3.png create mode 100644 assignment-2/submission/18307130104/img/result-4.png create mode 100644 assignment-2/submission/18307130104/img/result-5.png diff --git a/assignment-2/submission/18307130104/README.md b/assignment-2/submission/18307130104/README.md index 921e14d..a6eebfd 100644 --- a/assignment-2/submission/18307130104/README.md +++ b/assignment-2/submission/18307130104/README.md @@ -104,32 +104,72 @@ $Loss = -\sum_k t_k*\ln a_k$ 随着训练轮数增长,训练的正确率如下 -> [0] Accuracy: 0.9497
-> [1] Accuracy: 0.9666
-> [2] Accuracy: 0.9733
-> [3] Accuracy: 0.9735
-> [4] Accuracy: 0.9765
-> [5] Accuracy: 0.9781
-> [6] Accuracy: 0.9788
-> [7] Accuracy: 0.9798
-> [8] Accuracy: 0.9799
-> [9] Accuracy: 0.9774 +learning_rate = 0.1 mini_batch = 128 + +> [0] Accuracy: 0.9403 +> [1] Accuracy: 0.9641 +> [2] Accuracy: 0.9716 +> [3] Accuracy: 0.9751 +> [4] Accuracy: 0.9772 +> [5] Accuracy: 0.9782 +> [6] Accuracy: 0.9745 +> [7] Accuracy: 0.9807 +> [8] Accuracy: 0.9790 +> [9] Accuracy: 0.9811 损失随训练轮数变化如下图所示 loss -mini_batch = 64 +可以看到,正确率随着训练稳步上升,在 6 轮之后,数字基本稳定,仅仅有略微的上下波动。 -> [0] Accuracy: 0.9492
-> [1] Accuracy: 0.9631
-> [2] Accuracy: 0.9758
-> [3] Accuracy: 0.9746
-> [4] Accuracy: 0.9801
-> [5] Accuracy: 0.9808
-> [6] Accuracy: 0.9813
-> [7] Accuracy: 0.9796
-> [8] Accuracy: 0.9800
-> [9] Accuracy: 0.9834 +learning_rate = 0.1 mini_batch = 32 -loss \ No newline at end of file +> [0] Accuracy: 0.9646 +> [1] Accuracy: 0.9726 +> [2] Accuracy: 0.9768 +> [3] Accuracy: 0.9788 +> [4] Accuracy: 0.9792 +> [5] Accuracy: 0.9770 +> [6] Accuracy: 0.9820 +> [7] Accuracy: 0.9808 +> [8] Accuracy: 0.9822 +> [9] Accuracy: 0.9835 + +loss + +可以看到,由于 mini_batch 从 128 变成 32,损失随着轮数的变化会有比较大的起伏。 + +learning_rate = 0.2 mini_batch = 128 + +> [0] Accuracy: 0.9295 +> [1] Accuracy: 0.9688 +> [2] Accuracy: 0.9753 +> [3] Accuracy: 0.9734 +> [4] Accuracy: 0.9793 +> [5] Accuracy: 0.9777 +> [6] Accuracy: 0.9792 +> [7] Accuracy: 0.9807 +> [8] Accuracy: 0.9821 +> [9] Accuracy: 0.9815 + +loss + +虽然调高了学习率,但是损失并没有因此产生比较大的起伏,仍然表现出非常好的效果。 + +learning_rate = 0.05 mini_batch = 128 + +> [0] Accuracy: 0.9310 +> [1] Accuracy: 0.9504 +> [2] Accuracy: 0.9601 +> [3] Accuracy: 0.9661 +> [4] Accuracy: 0.9691 +> [5] Accuracy: 0.9728 +> [6] Accuracy: 0.9749 +> [7] Accuracy: 0.9761 +> [8] Accuracy: 0.9768 +> [9] 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+> [1] Accuracy: 0.9641
+> [2] Accuracy: 0.9716
+> [3] Accuracy: 0.9751
+> [4] Accuracy: 0.9772
+> [5] Accuracy: 0.9782
+> [6] Accuracy: 0.9745
+> [7] Accuracy: 0.9807
+> [8] Accuracy: 0.9790
> [9] Accuracy: 0.9811 损失随训练轮数变化如下图所示 @@ -125,15 +127,15 @@ learning_rate = 0.1 mini_batch = 128 learning_rate = 0.1 mini_batch = 32 -> [0] Accuracy: 0.9646 -> [1] Accuracy: 0.9726 -> [2] Accuracy: 0.9768 -> [3] Accuracy: 0.9788 -> [4] Accuracy: 0.9792 -> [5] Accuracy: 0.9770 -> [6] Accuracy: 0.9820 -> [7] Accuracy: 0.9808 -> [8] Accuracy: 0.9822 +> [0] Accuracy: 0.9646
+> [1] Accuracy: 0.9726
+> [2] Accuracy: 0.9768
+> [3] Accuracy: 0.9788
+> [4] Accuracy: 0.9792
+> [5] Accuracy: 0.9770
+> [6] Accuracy: 0.9820
+> [7] Accuracy: 0.9808
+> [8] Accuracy: 0.9822
> [9] Accuracy: 0.9835 loss @@ -142,15 +144,15 @@ learning_rate = 0.1 mini_batch = 32 learning_rate = 0.2 mini_batch = 128 -> [0] Accuracy: 0.9295 -> [1] Accuracy: 0.9688 -> [2] Accuracy: 0.9753 -> [3] Accuracy: 0.9734 -> [4] Accuracy: 0.9793 -> [5] Accuracy: 0.9777 -> [6] Accuracy: 0.9792 -> [7] Accuracy: 0.9807 -> [8] Accuracy: 0.9821 +> [0] Accuracy: 0.9295
+> [1] Accuracy: 0.9688
+> [2] Accuracy: 0.9753
+> [3] Accuracy: 0.9734
+> [4] Accuracy: 0.9793
+> [5] Accuracy: 0.9777
+> [6] Accuracy: 0.9792
+> [7] Accuracy: 0.9807
+> [8] Accuracy: 0.9821
> [9] Accuracy: 0.9815 loss @@ -159,17 +161,19 @@ learning_rate = 0.2 mini_batch = 128 learning_rate = 0.05 mini_batch = 128 -> [0] Accuracy: 0.9310 -> [1] Accuracy: 0.9504 -> [2] Accuracy: 0.9601 -> [3] Accuracy: 0.9661 -> [4] Accuracy: 0.9691 -> [5] Accuracy: 0.9728 -> [6] Accuracy: 0.9749 -> [7] Accuracy: 0.9761 -> [8] Accuracy: 0.9768 +> [0] Accuracy: 0.9310
+> [1] Accuracy: 0.9504
+> [2] Accuracy: 0.9601
+> [3] Accuracy: 0.9661
+> [4] Accuracy: 0.9691
+> [5] Accuracy: 0.9728
+> [6] Accuracy: 0.9749
+> [7] Accuracy: 0.9761
+> [8] Accuracy: 0.9768
> [9] Accuracy: 0.9752 loss -降低了学习率之后,可以看到正确率的增长比较缓慢,但是经过几轮训练之后的结果和高学习率的时候差不多。 \ No newline at end of file +降低了学习率之后,可以看到正确率的增长比较缓慢,但是经过几轮训练之后的结果和高学习率的时候差不多。 + +综合来看,影响最终正确率的主要还是模型本身的学习能力,一定范围内修改学习率和 mini_batch 对结果的影响不大。采用 mini_batch 的方式训练有助于降低训练过程中损失的波动。 \ No newline at end of file diff --git a/assignment-2/submission/18307130104/img/result.png b/assignment-2/submission/18307130104/img/result.png new file mode 100644 index 0000000000000000000000000000000000000000..0039ef8029c07eeb75caa2efd42c13aeba61ce5a GIT binary patch literal 15233 zcmeIZbyQXB-ZnfD1PNs;28~K6AfcqRC@LVJv@{|u-Hin*rKEzCfW)Fix|Izmpx}Z9 zl8f$?STyf%;@SJ0^E~f)zvms}8{_-u+hgysl{vZR9lyM;>wbP)`Nm-idI|(V4$I%X zrivg3{1Jp`@DM5dMCeD~DE#lTvz)fGnw^=mo3W!QqGarB|G>`qf#to^uBMJomUgxR zyn?(JFPye;cD8pCm_sF4d1{Gb06(H{s>YkbHb{&M6hLV_UnvLAifyc1Ffc>D~2|>5fd+m}XO#%LtNm zjH<5fYs5KRse{Qu648%*!H7G#@AlG-`i2G_eXzgMLxD$_uqU+ij9uuWPa_78#9XFt zI_?o4KYG;IK?nx8RPgcR2?mCl4e|MFB(;jSy?aE?o_z$TC3ARWw7KN1$1npN?5BS_ 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+69,11 @@ class Log(NumpyOp): """ grad_y: same shape as x """ - grad_x = grad_y * np.reciprocal(self.memory['x'] + self.epsilon) + #################### # code 3 # #################### + grad_x = grad_y * np.reciprocal(self.memory['x'] + self.epsilon) return grad_x @@ -86,6 +87,7 @@ class Softmax(NumpyOp): """ x: shape(N, c) """ + #################### # code 4 # #################### @@ -102,6 +104,7 @@ class Softmax(NumpyOp): #################### # code 5 # #################### + x = self.memory['x'] softx = self.forward(x) # print(sumx.shape) @@ -123,13 +126,25 @@ class Softmax(NumpyOp): return grad_x +class NumpyLoss: + + def __init__(self): + self.target = None + + def get_loss(self, pred, target): + self.target = target + return (-pred * target).sum(axis=1).mean() + + def backward(self): + return -self.target / self.target.shape[0] + + class NumpyModel: def __init__(self): self.W1 = np.random.normal(size=(28 * 28, 256)) self.W2 = np.random.normal(size=(256, 64)) self.W3 = np.random.normal(size=(64, 10)) - - + # 以下算子会在 forward 和 backward 中使用 self.matmul_1 = Matmul() self.relu_1 = Relu() @@ -138,8 +153,8 @@ class NumpyModel: self.matmul_3 = Matmul() self.softmax = Softmax() self.log = Log() - - # 以下变量需要在 backward 中更新 + + # 以下变量需要在 backward 中更新。 softmax_grad, log_grad 等为算子反向传播的梯度( loss 关于算子输入的偏导) self.x1_grad, self.W1_grad = None, None self.relu_1_grad = None self.x2_grad, self.W2_grad = None, None @@ -147,8 +162,6 @@ class NumpyModel: self.x3_grad, self.W3_grad = None, None self.softmax_grad = None self.log_grad = None - - def forward(self, x): x = x.reshape(-1, 28 * 28) @@ -164,27 +177,17 @@ class NumpyModel: x = self.softmax.forward(x) # print(x) x = self.log.forward(x) - - # print(x) + return x def backward(self, y): - # print(y) - # print(y.shape) - y /= y.shape[0] - # for size in y.shape: - # y /= size - # print(size) - # print('backward', y) - # print(y) - + #################### # code 7 # #################### - y = self.log.backward(-y) + y = self.log.backward(y) self.log_grad = y - # print(y) y = self.softmax.backward(y) self.softmax_grad = y diff --git a/assignment-2/submission/18307130104/numpy_mnist.py b/assignment-2/submission/18307130104/numpy_mnist.py index d22f806..5f7aaad 100644 --- a/assignment-2/submission/18307130104/numpy_mnist.py +++ b/assignment-2/submission/18307130104/numpy_mnist.py @@ -1,5 +1,5 @@ import numpy as np -from numpy_fnn import NumpyModel +from numpy_fnn import NumpyModel, NumpyLoss from utils import download_mnist, batch, mini_batch, get_torch_initialization, plot_curve, one_hot @@ -7,25 +7,27 @@ def numpy_run(): train_dataset, test_dataset = download_mnist() model = NumpyModel() + numpy_loss = NumpyLoss() model.W1, model.W2, model.W3 = get_torch_initialization() train_loss = [] - epoch_number = 10 - learning_rate = 0.2 + epoch_number = 3 + learning_rate = 0.1 for epoch in range(epoch_number): - for x, y in mini_batch(train_dataset, batch_size = 128, numpy=True): + for x, y in mini_batch(train_dataset, 128, True): y = one_hot(y) y_pred = model.forward(x) - loss = (-y_pred * y).sum(axis=1).mean() - model.backward(y) + loss = numpy_loss.get_loss(y_pred, y) + + model.backward(numpy_loss.backward()) model.optimize(learning_rate) train_loss.append(loss.item()) - x, y = batch(test_dataset, numpy=True)[0] + x, y = batch(test_dataset)[0] accuracy = np.mean((model.forward(x).argmax(axis=1) == y)) print('[{}] Accuracy: {:.4f}'.format(epoch, accuracy)) diff --git a/assignment-2/submission/18307130104/tester_demo.py b/assignment-2/submission/18307130104/tester_demo.py index eae4203..df4bb27 100644 --- a/assignment-2/submission/18307130104/tester_demo.py +++ b/assignment-2/submission/18307130104/tester_demo.py @@ -2,11 +2,11 @@ import numpy as np import torch from torch import matmul as torch_matmul, relu as torch_relu, softmax as torch_softmax, log as torch_log -from numpy_fnn import Matmul, Relu, Softmax, Log, NumpyModel +from numpy_fnn import Matmul, Relu, Softmax, Log, NumpyModel, NumpyLoss from torch_mnist import TorchModel from utils import get_torch_initialization, one_hot -err_epsilon = 1e-3 +err_epsilon = 1e-6 err_p = 0.4 @@ -16,18 +16,17 @@ def check_result(numpy_result, torch_result=None): for (n, t) in numpy_result: flag = flag and check_result(n, t) return flag + # print((torch.from_numpy(numpy_result) - torch_result).abs().mean().item()) T = (torch_result * torch.from_numpy(numpy_result) < 0).sum().item() - print('err', T / torch_result.numel(), (torch.from_numpy(numpy_result) - torch_result).abs().mean()) - # print(torch_result) - # print(numpy_result) direction = T / torch_result.numel() < err_p + return direction and ((torch.from_numpy(numpy_result) - torch_result).abs().mean() < err_epsilon).item() def case_1(): x = np.random.normal(size=[5, 6]) W = np.random.normal(size=[6, 4]) - + numpy_matmul = Matmul() numpy_out = numpy_matmul.forward(x, W) numpy_x_grad, numpy_W_grad = numpy_matmul.backward(np.ones_like(numpy_out)) @@ -77,6 +76,7 @@ def case_3(): return check_result([ (numpy_out, torch_out), + (numpy_x_grad, torch_x.grad), ]) @@ -106,9 +106,6 @@ def case_5(): torch_out = torch_softmax(torch_x, 1) torch_out.sum().backward() - # print(numpy_out, torch_out) - # print(numpy_x_grad, torch_x.grad) - return check_result([ (numpy_out, torch_out), (numpy_x_grad, torch_x.grad), @@ -117,6 +114,7 @@ def case_5(): def test_model(): try: + numpy_loss = NumpyLoss() numpy_model = NumpyModel() torch_model = TorchModel() torch_model.W1.data, torch_model.W2.data, torch_model.W3.data = get_torch_initialization(numpy=False) @@ -134,8 +132,7 @@ def test_model(): loss.backward() y_pred_numpy = numpy_model.forward(x2) - y2 = y.numpy() - loss_numpy = (-y_pred_numpy * y2).sum(axis=1).mean() + numpy_loss.get_loss(y_pred_numpy, y.numpy()) check_flag_1 = check_result(y_pred_numpy, y_pred) print("+ {:12} {}/{}".format("forward", 10 * check_flag_1, 10)) @@ -145,14 +142,12 @@ def test_model(): return 0 try: - # print(y_pred, y_pred_numpy) - numpy_model.backward(y2) - - print(numpy_model.softmax_grad, torch_model.softmax.grad) - + + numpy_model.backward(numpy_loss.backward()) + check_flag_2 = [ - check_result(numpy_model.log_grad, torch_model.log.grad), - check_result(numpy_model.softmax_grad, torch_model.softmax.grad), + check_result(numpy_model.log_grad, torch_model.log_input.grad), + check_result(numpy_model.softmax_grad, torch_model.softmax_input.grad), check_result(numpy_model.W3_grad, torch_model.W3.grad), check_result(numpy_model.W2_grad, torch_model.W2.grad), check_result(numpy_model.W1_grad, torch_model.W1.grad) diff --git a/assignment-2/submission/18307130104/torch_mnist.py b/assignment-2/submission/18307130104/torch_mnist.py index 6a5649b..6d3e214 100644 --- a/assignment-2/submission/18307130104/torch_mnist.py +++ b/assignment-2/submission/18307130104/torch_mnist.py @@ -8,17 +8,26 @@ class TorchModel: self.W1 = torch.randn((28 * 28, 256), requires_grad=True) self.W2 = torch.randn((256, 64), requires_grad=True) self.W3 = torch.randn((64, 10), requires_grad=True) + self.softmax_input = None + self.log_input = None def forward(self, x): x = x.reshape(-1, 28 * 28) x = torch.relu(torch.matmul(x, self.W1)) x = torch.relu(torch.matmul(x, self.W2)) x = torch.matmul(x, self.W3) - self.softmax = torch.softmax(x, 1) - self.log = torch.log(self.softmax) - self.softmax.retain_grad() # for test only - self.log.retain_grad() # for test only - return self.log + + self.softmax_input = x + self.softmax_input.retain_grad() + + x = torch.softmax(x, 1) + + self.log_input = x + self.log_input.retain_grad() + + x = torch.log(x) + + return x def optimize(self, learning_rate): with torch.no_grad(): -- Gitee

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zIdunOHH+skY2KNbkdV+NNLuy}NAn}wLCCoUvGoLt`Z zP>H(zg!WK-UAViu-{|S--6Fj`Zb8KTiTBk)^g6Kp>Fpa Date: Sat, 27 Mar 2021 20:57:25 +0800 Subject: [PATCH 12/35] fix some bug --- assignment-1/submission/18307130104/README.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 1783c07..d64f786 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -12,7 +12,7 @@ fit() 函数的任务有两个:将用于训练的点按照类别分别进行储存;选择合适的 K,也就是用于预测的最近点个数。 -接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 3 4$ 的数据作为训练数据,后 $\frac 1 4$ 的数据作为验证集。逐一尝试 1~14 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 +接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 3 4$ 的数据作为训练集,后 $\frac 1 4$ 的数据作为验证集。逐一尝试 1~14 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 选择 1~14 是因为训练数据的规模为 2000,如果训练数据的规模进行了修改,这一个范围也可以进行修改,不过这一范围对大部分数据规模都比较适用。 @@ -30,7 +30,7 @@ python source.py // 进行测试 python source.py d // 生成展示图片 ``` -generate() 和 display() 函数均从示例代码中获得。 +generate() 和 display() 函数均从示例代码中获得。其中 display() 函数中增加了对某种类别预测结果为空的判断防止报错。 ## 探究性实验 @@ -90,7 +90,7 @@ $$ >take K 14 // 模型选择的 K >acc = 0.9575 // 测试集上的正确率 -将实验1作为基准,对不同数据集上的模型效果进行对比。 +将实验1作为基准,对不同数据集上的模型效果进行对比。这组数据的特点在于虽然不同种类之间的点有交集,但是区分仍然非常明显,比较符合实际中的分类问题的特征。 ## 实验2 @@ -148,7 +148,7 @@ $$ >take K 1 >acc = 1.0 -实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据集中区域的交叉比较小,所以对应的,模型的准确度非常高,因为这正是 KNN 算法非常适用的场合。 +实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据集中区域的交叉比较小,所以对应的,模型的准确度非常高,这种情况的分类非常简单,因此模型表现优秀也在预期之中。 ## 实验3 @@ -212,4 +212,4 @@ $$ ## 结论 -可以看到对于数据集中不同类别区分度比较大的情况,KNN 有着非常优秀的表现。对于数据重叠情况比较大的情况,KNN 也没有很好的办法。 +可以看到对于数据集中不同类别区分度比较大的情况,KNN 有着非常优秀的表现。对于数据重叠情况比较大的情况,KNN 的效果也并不理想。 -- Gitee From f1fb66af5d0701d76141262649f3993cc95fc7d5 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 21:06:30 +0800 Subject: [PATCH 13/35] use form instead of quote --- assignment-1/submission/18307130104/README.md | 76 +++++++------------ 1 file changed, 28 insertions(+), 48 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index d64f786..e3cc020 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -1,3 +1,5 @@ + + 18307130104 # 课程报告 @@ -73,22 +75,17 @@ $$ 程序输出如下(之后的实验输出均采用如下的输出格式) ->0.935 // k = 1~14 时验证集的正确率 ->0.9225 ->0.93 ->0.94 ->0.94 ->0.95 ->0.9525 ->0.9475 ->0.945 ->0.945 ->0.955 ->0.9575 ->0.96 ->0.9625 ->take K 14 // 模型选择的 K ->acc = 0.9575 // 测试集上的正确率 +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| --- | --- | +| 正确率 | 0.935 | 0.9225 | 0.93 | 0.94 | 0.94 | 0.95 | 0.9525 | 0.9475 | 0.945 | 0.945 | 0.955 | 0.9575 | 0.96 | 0.9625 | + + + +| 选取 K | 正确率 | +| -- | -- | +| 14 | 0.95 | + +75 // 测试集上的正确率 将实验1作为基准,对不同数据集上的模型效果进行对比。这组数据的特点在于虽然不同种类之间的点有交集,但是区分仍然非常明显,比较符合实际中的分类问题的特征。 @@ -131,22 +128,14 @@ $$ 程序输出如下 ->1.0 ->1.0 ->1.0 ->1.0 ->1.0 ->1.0 ->1.0 ->1.0 ->0.9975 ->1.0 ->0.9975 ->1.0 ->1.0 ->1.0 ->take K 1 ->acc = 1.0 +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| --- | --- | +| 正确率 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |1.0 |1.0|0.9975 |1.0|0.9975|1.0|1.0|1.0| + + +| 选取 K | 正确率 | +| -- | -- | +|1|acc = 1.0| 实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据集中区域的交叉比较小,所以对应的,模型的准确度非常高,这种情况的分类非常简单,因此模型表现优秀也在预期之中。 @@ -189,22 +178,13 @@ $$ 程序输出如下 ->0.67 ->0.7575 ->0.7325 ->0.7475 ->0.73 ->0.7425 ->0.74 ->0.7575 ->0.7425 ->0.7475 ->0.735 ->0.7425 ->0.74 ->0.74 ->take K 2 ->acc = 0.7125 +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| --- | --- | +| 正确率 | 0.67|0.7575|0.7325|0.7475|0.73|0.7425|0.74|0.7575|0.7425|0.7475|0.735|0.7425|0.74|0.74| + +| 选取 K | 正确率 | +| -- | -- | +|2|acc = 0.7125| 相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据集中区域的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 -- Gitee From ba9cf70598e958c697267158f58ac944f256ce6f Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 21:08:03 +0800 Subject: [PATCH 14/35] edit code of form --- assignment-1/submission/18307130104/README.md | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index e3cc020..1b03e36 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -75,8 +75,8 @@ $$ 程序输出如下(之后的实验输出均采用如下的输出格式) -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| --- | --- | +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ----- | ------ | ---- | ---- | ---- | ---- | ------ | ------ | ----- | ----- | ----- | ------ | ---- | ------ | | 正确率 | 0.935 | 0.9225 | 0.93 | 0.94 | 0.94 | 0.95 | 0.9525 | 0.9475 | 0.945 | 0.945 | 0.955 | 0.9575 | 0.96 | 0.9625 | @@ -128,9 +128,9 @@ $$ 程序输出如下 -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| --- | --- | -| 正确率 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |1.0 |1.0|0.9975 |1.0|0.9975|1.0|1.0|1.0| +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ------ | ---- | ------ | ---- | ---- | ---- | +| 正确率 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.9975 | 1.0 | 0.9975 | 1.0 | 1.0 | 1.0 | | 选取 K | 正确率 | @@ -178,9 +178,9 @@ $$ 程序输出如下 -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| --- | --- | -| 正确率 | 0.67|0.7575|0.7325|0.7475|0.73|0.7425|0.74|0.7575|0.7425|0.7475|0.735|0.7425|0.74|0.74| +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ---- | ------ | ------ | ------ | ---- | ------ | ---- | ------ | ------ | ------ | ----- | ------ | ---- | ---- | +| 正确率 | 0.67 | 0.7575 | 0.7325 | 0.7475 | 0.73 | 0.7425 | 0.74 | 0.7575 | 0.7425 | 0.7475 | 0.735 | 0.7425 | 0.74 | 0.74 | | 选取 K | 正确率 | | -- | -- | -- Gitee From 39a94b498c255ac87df736132474a866e59f19a6 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 21:11:43 +0800 Subject: [PATCH 15/35] fix some bug --- assignment-1/submission/18307130104/README.md | 26 ++++++++----------- 1 file changed, 11 insertions(+), 15 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 1b03e36..9a2ee86 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -75,17 +75,13 @@ $$ 程序输出如下(之后的实验输出均采用如下的输出格式) -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| ------ | ----- | ------ | ---- | ---- | ---- | ---- | ------ | ------ | ----- | ----- | ----- | ------ | ---- | ------ | -| 正确率 | 0.935 | 0.9225 | 0.93 | 0.94 | 0.94 | 0.95 | 0.9525 | 0.9475 | 0.945 | 0.945 | 0.955 | 0.9575 | 0.96 | 0.9625 | - - +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | +| 正确率 | 0.93 | 0.92 | 0.93 | 0.94 | 0.94 | 0.95 | 0.95 | 0.95 | 0.95 | 0.95 | 0.96 | 0.96 | 0.96 | 0.96 | | 选取 K | 正确率 | | -- | -- | -| 14 | 0.95 | - -75 // 测试集上的正确率 +| 14 | 0.96 | 将实验1作为基准,对不同数据集上的模型效果进行对比。这组数据的特点在于虽然不同种类之间的点有交集,但是区分仍然非常明显,比较符合实际中的分类问题的特征。 @@ -128,9 +124,9 @@ $$ 程序输出如下 -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| ------ | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ------ | ---- | ------ | ---- | ---- | ---- | -| 正确率 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.9975 | 1.0 | 0.9975 | 1.0 | 1.0 | 1.0 | +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | +| 正确率 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | | 选取 K | 正确率 | @@ -178,13 +174,13 @@ $$ 程序输出如下 -| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | -| ------ | ---- | ------ | ------ | ------ | ---- | ------ | ---- | ------ | ------ | ------ | ----- | ------ | ---- | ---- | -| 正确率 | 0.67 | 0.7575 | 0.7325 | 0.7475 | 0.73 | 0.7425 | 0.74 | 0.7575 | 0.7425 | 0.7475 | 0.735 | 0.7425 | 0.74 | 0.74 | +| K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | +| ------ | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | ---- | +| 正确率 | 0.67 | 0.76 | 0.73 | 0.75 | 0.73 | 0.74 | 0.74 | 0.76 | 0.74 | 0.75 | 0.74 | 0.74 | 0.74 | 0.74 | | 选取 K | 正确率 | | -- | -- | -|2|acc = 0.7125| +|2|acc = 0.71| 相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据集中区域的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 -- Gitee From 4046db982228d96b80f5df5919be2506e90ac156 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 21:24:26 +0800 Subject: [PATCH 16/35] add something --- assignment-1/submission/18307130104/README.md | 4 ++++ .../submission/18307130104/img/test.png | Bin 0 -> 57741 bytes .../submission/18307130104/img/test_res.png | Bin 0 -> 24625 bytes .../submission/18307130104/img/train.png | Bin 0 -> 40342 bytes 4 files changed, 4 insertions(+) create mode 100644 assignment-1/submission/18307130104/img/test.png create mode 100644 assignment-1/submission/18307130104/img/test_res.png create mode 100644 assignment-1/submission/18307130104/img/train.png diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 9a2ee86..a6d4ead 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -34,6 +34,10 @@ python source.py d // 生成展示图片 generate() 和 display() 函数均从示例代码中获得。其中 display() 函数中增加了对某种类别预测结果为空的判断防止报错。 +> 需要保证运行环境中有 img 文件夹,否则程序无法正确运行。(由于不能用 os 包所以不知道怎么判断是否存在文件夹) +> +> 另外,如果使用 wsl 等环境会导致输出图像有重叠。 + ## 探究性实验 ## 实验1 diff --git a/assignment-1/submission/18307130104/img/test.png b/assignment-1/submission/18307130104/img/test.png new file mode 100644 index 0000000000000000000000000000000000000000..d4880f0b716a928bb8c98e57db1450c4005e4de0 GIT binary patch literal 57741 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b/assignment-1/submission/18307130104/source.py index 4d68a43..913cc84 100644 --- a/assignment-1/submission/18307130104/source.py +++ b/assignment-1/submission/18307130104/source.py @@ -20,15 +20,19 @@ class KNN: pretraindata = train_data[pretrainsz : totsz] pretrainlabel = train_label[pretrainsz : totsz] maxAcc = 0 + takeK = 3 for preK in range(3, 12): pretrainres = [] + self.K = preK for d in pretraindata: pretrainres.append(self.predict_one(d)) acc = np.mean(np.equal(pretrainres, pretrainlabel)) print(acc) if acc > maxAcc: maxAcc = acc - self.K = preK + takeK = preK + self.K = takeK + print("take K", takeK) self.ldata.clear() for (d, l) in zip(train_data, train_label): if(l in self.ldata): @@ -78,7 +82,7 @@ class KNN: return result def generate(): - mean = (1, 2) + mean = (13, -2) cov = np.array([[73, 0], [0, 22]]) x = np.random.multivariate_normal(mean, cov, (800,)) @@ -86,9 +90,9 @@ def generate(): cov = np.array([[21.2, 0], [0, 32.1]]) y = np.random.multivariate_normal(mean, cov, (200,)) - mean = (10, 22) - cov = np.array([[10,5],[5,10]]) - z = np.random.multivariate_normal(mean, cov, (1000,)) + mean = (18, -7) + cov = np.array([[52,0],[0,43]]) + z = np.random.multivariate_normal(mean, cov, (1000,)) idx = np.arange(2000) np.random.shuffle(idx) -- Gitee From a92294396596406eb61e24515ff5d977c1facda8 Mon Sep 17 00:00:00 2001 From: unicornt Date: Fri, 26 Mar 2021 16:21:57 +0800 Subject: [PATCH 07/35] rename report to README --- assignment-1/submission/18307130104/README.md | 204 ++++++++++++++++++ 1 file changed, 204 insertions(+) create mode 100644 assignment-1/submission/18307130104/README.md diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md new file mode 100644 index 0000000..1d31fb8 --- /dev/null +++ b/assignment-1/submission/18307130104/README.md @@ -0,0 +1,204 @@ +# 课程报告 + +这是 prml 的 assignment-1 课程报告,我的代码在 [source.py](./source.py) 中。 + +在 assignment-1 中,用 python 实现了一个 KNN 类,调用该类下 fit() 函数可以对数据进行训练,调用 predict() 可以对多组目标数据进行预测,返回一个 list 对应每组数据的结果。 + +## KNN 类实现 + +### fit() 函数 + +fit() 函数的任务有两个:将用于训练的点按照类别分别进行储存;选择合适的 K,也就是用于预测的最近点个数。 + +接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 4 5$ 的数据作为训练数据,后 $\frac 1 5$ 的数据作为验证集。逐一尝试 3~11 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 + +### predict() 函数 + +predict() 函数会根据模型中存储的数据和选定的 K 对给定数据进行预测。采用欧拉距离作为两个点的距离数值,选择距离最近的 K 个点进行投票,获票最多的类别就是预测结果。对于获票相同的情况选择编号比较小的类别。 + +## 测试与展示 + +```shell +python source.py g // 生成数据 +python source.py // 进行测试 +python source.py d // 生成展示图片 +``` + +generate() 和 display() 函数均从示例代码中获得。 + +## 探究性实验 + +## 实验1 + +采用以下参数生成 3 组数据。 +$$ +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +73 & 0 \\\\ +0 & 22 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +1 & 2 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +21.2 & 0 \\\\ +0 & 32.1 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +16 & -5 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +10 & 5 \\\\ +5 & 10 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +10 & 22 +\end{array}\right] +\end{array} +$$ + +训练数据,测试数据,测试结果如下三图 + +训练集 + +测试集 + +测试结果 + +程序输出如下 + +>0.946875 // k = 3~11 时验证集的正确率 +>0.9625 +>0.959375 +>0.959375 +>0.96875 +>0.96875 +>0.95625 +>0.965625 +>0.965625 +>take K 7 // 模型选择的 K +>acc = 0.955 // 测试集上的正确率 + +将实验1作为基准,对不同数据集上的模型效果进行对比。 + +## 实验2 + +采用以下参数生成 3 组数据。 +$$ +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +6 & 0 \\\\ +0 & 4 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +1 & 2 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +5 & 0 \\\\ +0 & 7 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +16 & -5 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +9 & 5 \\\\ +0 & 5 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +10 & 22 +\end{array}\right] +\end{array} +$$ + +训练数据,测试数据,测试结果如下三图 + +训练集 + +测试集 + +测试结果 + +程序输出如下 + +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>take K 3 +>acc = 1.0 + +可以看到实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据较差区域比较小,所以对应的,模型的准确度非常高,因为这正是 KNN 算法非常适用的场合。 + +## 实验3 + +采用以下参数生成 3 组数据。 +$$ +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +73 & 0 \\\\ +0 & 22 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +13 & -2 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +21.2 & 0 \\\\ +0 & 32.1 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +16 & -5 +\end{array}\right] +\end{array} +\begin{array}{l} +\Sigma=\left[\begin{array}{cc} +10 & 5 \\\\ +5 & 10 +\end{array}\right] \\\\ +\mu=\left[\begin{array}{ll} +18 & -7 +\end{array}\right] +\end{array} +$$ + +训练数据,测试数据,测试结果如下三图 + +训练集 + +测试集 + +测试结果 + +程序输出如下 + +>0.775 +>0.734375 +>0.746875 +>0.778125 +>0.7875 +>0.8 +>0.790625 +>0.778125 +>0.784375 +>0.78125 +>take K 7 +>acc = 0.75 + +相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 + +进一步的,如果再加大协方差,测试准确率也会进一步下降。 + -- Gitee From b5fadaa85984acbdc0ab938f04a4d0900aed3d5d Mon Sep 17 00:00:00 2001 From: unicornt Date: Fri, 26 Mar 2021 16:23:54 +0800 Subject: [PATCH 08/35] delete wrap --- assignment-1/submission/18307130104/README.md | 18 +++--------------- 1 file changed, 3 insertions(+), 15 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 1d31fb8..963d297 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -63,11 +63,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集 - -测试集 - -测试结果 +训练集测试集测试结果 程序输出如下 @@ -120,11 +116,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集 - -测试集 - -测试结果 +训练集测试集测试结果 程序输出如下 @@ -177,11 +169,7 @@ $$ 训练数据,测试数据,测试结果如下三图 -训练集 - -测试集 - -测试结果 +训练集测试集测试结果 程序输出如下 -- Gitee From 28a61d4a210378eebac706843d5fa7c4ad873583 Mon Sep 17 00:00:00 2001 From: unicornt Date: Fri, 26 Mar 2021 22:42:10 +0800 Subject: [PATCH 09/35] edit report --- assignment-1/submission/18307130104/README.md | 19 ++++++++++++++----- 1 file changed, 14 insertions(+), 5 deletions(-) diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 963d297..9753fcd 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -1,3 +1,5 @@ +18307130104 + # 课程报告 这是 prml 的 assignment-1 课程报告,我的代码在 [source.py](./source.py) 中。 @@ -12,9 +14,13 @@ fit() 函数的任务有两个:将用于训练的点按照类别分别进行 接下来说明 K 数值的选择方法。对于输入的数据,选择前 $\frac 4 5$ 的数据作为训练数据,后 $\frac 1 5$ 的数据作为验证集。逐一尝试 3~11 作为 K 值时模型在验证集上的正确率,选取其中正确率最高的 K 作为模型的 K 值保存下来。 +选择 3~11 是因为训练数据的规模为 2000,如果训练数据的规模进行了修改,这一个范围也可以进行修改,不过这一范围对大部分数据规模都比较适用。 + ### predict() 函数 -predict() 函数会根据模型中存储的数据和选定的 K 对给定数据进行预测。采用欧拉距离作为两个点的距离数值,选择距离最近的 K 个点进行投票,获票最多的类别就是预测结果。对于获票相同的情况选择编号比较小的类别。 +predict() 函数会根据模型中存储的数据和选定的 K 对给定数据进行预测。 + +采用欧拉距离作为两个点的距离数值,选择距离最近的 K 个点进行投票,获票最多的类别就是预测结果。对于获票相同的情况选择编号比较小的类别。 ## 测试与展示 @@ -65,7 +71,7 @@ $$ 训练集测试集测试结果 -程序输出如下 +程序输出如下(之后的实验输出均采用如下的输出格式) >0.946875 // k = 3~11 时验证集的正确率 >0.9625 @@ -132,7 +138,7 @@ $$ >take K 3 >acc = 1.0 -可以看到实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据较差区域比较小,所以对应的,模型的准确度非常高,因为这正是 KNN 算法非常适用的场合。 +实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据集中区域的交叉比较小,所以对应的,模型的准确度非常高,因为这正是 KNN 算法非常适用的场合。 ## 实验3 @@ -186,7 +192,10 @@ $$ >take K 7 >acc = 0.75 -相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 +相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据集中区域的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 + +如果再加大协方差,测试准确率也会进一步下降。 -进一步的,如果再加大协方差,测试准确率也会进一步下降。 +## 结论 +可以看到对于数据集中不同类别区分度比较大的情况,KNN 有着非常优秀的表现。对于数据重叠情况比较大的情况,KNN 也没有很好的办法。 -- Gitee From ab8e1ad80caecef30354e0282a3a5bc5eec06e05 Mon Sep 17 00:00:00 2001 From: unicornt Date: Sat, 27 Mar 2021 20:24:16 +0800 Subject: [PATCH 10/35] add code to avoid empty array --- assignment-1/submission/18307130104/README.md | 35 +++++++++++------- .../submission/18307130104/img-2/test.png | Bin 25147 -> 45765 bytes .../submission/18307130104/img-2/test_res.png | Bin 25147 -> 24395 bytes .../submission/18307130104/img-2/train.png | Bin 26935 -> 31206 bytes .../submission/18307130104/img-3/test.png | Bin 31522 -> 68930 bytes .../submission/18307130104/img-3/test_res.png | Bin 26985 -> 31626 bytes .../submission/18307130104/img-3/train.png | Bin 45817 -> 48445 bytes .../submission/18307130104/img/test.png | Bin 0 -> 45765 bytes .../submission/18307130104/img/test_res.png | Bin 30546 -> 24395 bytes .../submission/18307130104/img/train.png | Bin 0 -> 31206 bytes assignment-1/submission/18307130104/source.py | 17 +++++---- .../submission/18307130104/tester_demo.py | 24 ------------ 12 files changed, 31 insertions(+), 45 deletions(-) create mode 100644 assignment-1/submission/18307130104/img/test.png create mode 100644 assignment-1/submission/18307130104/img/train.png delete mode 100644 assignment-1/submission/18307130104/tester_demo.py diff --git a/assignment-1/submission/18307130104/README.md b/assignment-1/submission/18307130104/README.md index 9753fcd..79050ba 100644 --- a/assignment-1/submission/18307130104/README.md +++ b/assignment-1/submission/18307130104/README.md @@ -135,7 +135,12 @@ $$ >1.0 >1.0 >1.0 ->take K 3 +>1.0 +>1.0 +>1.0 +>1.0 +>1.0 +>take K 1 >acc = 1.0 实验2的数据集中数据的协方差比较小,对应的,数据比较集中,数据集中区域的交叉比较小,所以对应的,模型的准确度非常高,因为这正是 KNN 算法非常适用的场合。 @@ -179,18 +184,22 @@ $$ 程序输出如下 ->0.775 ->0.734375 ->0.746875 ->0.778125 ->0.7875 ->0.8 ->0.790625 ->0.778125 ->0.784375 ->0.78125 ->take K 7 ->acc = 0.75 +>0.55 +>0.5625 +>0.585 +>0.585 +>0.6225 +>0.62 +>0.6225 +>0.6125 +>0.6425 +>0.6475 +>0.655 +>0.65 +>0.6425 +>0.645 +>take K 11 +>acc = 0.5975 相比于实验1,虽然数据的协方差没有变化,但是数据的中心点比较靠近,具体表现出来,数据集中区域的重合部分非常大,非常难以区别。可以看到正确率也有非常大幅度的下滑。 diff --git a/assignment-1/submission/18307130104/img-2/test.png b/assignment-1/submission/18307130104/img-2/test.png index f2bfc19e47c751c098f8326617192925f626cb51..af9fcf9b79391ec84e0c23a00278765ee4abe6c0 100644 GIT binary patch literal 45765 zcmeFZWm{Zb&^6dNB)Gc=cXxM};4Z=4-GfU=a19VFxVw7@5L|)<*9L<7oX-8sGw+xA z19Qy>=!@p`KKtxlyK2>{RUMw}xSt+Nv+3nvQ~6S<9thl{%aE34!GUcln) 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