From 24eb6c2bacb051caad73a32e69d0e1895ccd8cdd Mon Sep 17 00:00:00 2001 From: GQH123 <572694553@qq.com> Date: Sun, 2 May 2021 23:57:46 +0800 Subject: [PATCH] assignment-2 --- assignment-2/submission/19307130062/README.md | 35 ++++++- .../submission/19307130062/img/6.1.png | Bin 0 -> 1207394 bytes .../submission/19307130062/img/6.2.png | Bin 0 -> 1437731 bytes .../submission/19307130062/img/6.3.png | Bin 0 -> 666956 bytes .../submission/19307130062/img/Pytorch.png | Bin 0 -> 139182 bytes .../submission/19307130062/numpy_fnn.py | 2 +- .../submission/19307130062/numpy_mnist.py | 98 +++++++++++++++++- 7 files changed, 130 insertions(+), 5 deletions(-) create mode 100644 assignment-2/submission/19307130062/img/6.1.png create mode 100644 assignment-2/submission/19307130062/img/6.2.png create mode 100644 assignment-2/submission/19307130062/img/6.3.png create mode 100644 assignment-2/submission/19307130062/img/Pytorch.png diff --git a/assignment-2/submission/19307130062/README.md b/assignment-2/submission/19307130062/README.md index 6615e86..79d5931 100644 --- a/assignment-2/submission/19307130062/README.md +++ b/assignment-2/submission/19307130062/README.md @@ -520,4 +520,37 @@ def mini_batch(dataset, batch_size = 128, numpy = False): ### 权重初始化 -留坑待补... \ No newline at end of file +#### torch.nn.Linear 的初始化方法 + +首先是原代码中 `torch.nn.Linear` 的初始化方法调查,这个可以去查一下文档,然后就可以发现 + +5 + +可以看到,这里 $k$ 表示上一层神经元个数(in_features) 的倒数,而 old_features 即为当前层神经元个数,然后用 $\mathcal U(-\sqrt{k},\ \sqrt{k})$ 的均匀分布进行初始化,这和 He 初始化有一些相似,但是差了常数 + + + +#### 其他初始化方法的探索 + +测试了几种方法,有 + +- 均匀分布采样的 Xavier 初始化 +- 均匀分布采样的 Hekaiming 初始化 +- 高斯分布采样的 Xavier 初始化 +- 高斯分布采样的 Hekaiming 初始化 + +#### $\mathrm{epoch} = 3,\ \alpha = 0.1$ + +5 + +| Epoch | Torch | Xavier_Uniform | HeKaiming_Uniform | Xavier_Normal | HeKaiming_Normal | +| :---: | :-------: | :------------: | :---------------: | :-----------: | :--------------: | +| $0$ | $94.38\%$ | $95.59\%$ | $95.66\%$ | $95.55\%$ | $95.58\%$ | +| $1$ | $95.47\%$ | $96.19\%$ | $96.72\%$ | $96.68\%$ | $96.83\%$ | +| $2$ | $96.91\%$ | $97.20\%$ | $96.81\%$ | $97.12\%$ | $96.97\%$ | + + + +#### 总结 + +- 可以看到 Xavier 和 He 初始化相对于 Pytorch 默认的方法来说还是有一定优势的,但实际测试中 He 初始化有时会不够稳定,且参数设定上存在一些困难 \ No newline at end of file diff --git a/assignment-2/submission/19307130062/img/6.1.png b/assignment-2/submission/19307130062/img/6.1.png new file mode 100644 index 0000000000000000000000000000000000000000..6ce20298bc07a084ce60460219d0ec97c6da753f GIT binary patch literal 1207394 zcmeFa2UJs8+ds;@evUI^;dN9{5f~Ljqz%%f+ZjYaK|s2K(h1T+4d6H`f`9^obd@GG zbcBR}Lz5bc5PFanS_lwA3y`}H5*!O=zW@5Kb?;i2tOYq|pL6zp_OqY;duozLS5y>s z{&MgaCMKqxihrC}V`Ad@FB220oNn6PW>UWCaL3BV z!OGm|H~4KkdvhC@h@gnzN&er=931Z0O9=^CuiqeOV`nNPoy-vK)M zH?Qk~@PBg~xF;lz{omc`#clpC>Aa!1NhTwnZgP_mhc;#NUvP+tX>+GDX457hG3L=G zATj3Arn3AOJlX^##!T7-B*r}21SG~h+61J3!J|z;V$7sXKw`|JO+aGIqfJ2i7d+Yo zB*skI1SG~h+5{xVJlX`Lf5D?oKw`|KO+aGIqfJ0!%%e>}`WHOf1SG~x+5{xVJlX^# z#yr{tq<_JqO+aGIq)k9#%%krDk_Vjd9I8e6p}~aKP|>jE*U$S?&D!;O!$xN%L8)6d 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