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rename tests/st/mindelec/networks/{test_auto_encoder => test_data_compression}/src/model.py (100%) rename tests/st/mindelec/networks/{test_auto_encoder => test_data_compression}/test_autoencoder.py (100%) diff --git a/MindElec/README.md b/MindElec/README.md index 16ab7f1fa..2c013814a 100644 --- a/MindElec/README.md +++ b/MindElec/README.md @@ -1 +1,144 @@ -MindElec +# MindElec + +[View English](README.md) + + + +- [MindElec](#mindelec) + - [Introduction to MindElec](#introduction-to-mindelec) + - [Data Build and Conversion](#data-build-and-conversion) + - [Simulation](#simulation) + - [Electromagnetic Model Library](#electromagnetic-model-library) + - [Optimization strategy](#optimization-strategy) + - [Result Visualization](#result-visualization) + - [Installation Guide](#installation-guide) + - [Confirming the System Environment Information](#confirming-the-system-environment-information) + - [Installing Using pip](#installing-using-pip) + - [Installing MindSpore](#installing-mindspore) + - [Installing MindElec](#installing-mindelec) + - [Installing Using Source Code](#installing-using-source-code) + - [API](#api) + - [Installation Verification](#installation-verification) + - [Quick Start](#quick-start) + - [Documents](#documents) + - [Community](#community) + - [Governance](#governance) + - [Contribution](#contribution) + - [Release Notes](#release-notes) + - [License](#license) + + + +## Introduction to MindElec + +Electromagnetic simulation refers to simulating the propagation characteristics of electromagnetic waves in objects or space through computation. It is widely used in scenarios such as mobile phone tolerance simulation, antenna optimization, and chip design. Conventional numerical methods, such as finite difference and finite element, require mesh segmentation and iterative computation. The simulation process is complex and the computation time is long, which cannot meet the product design requirements. With the universal approximation theorem and efficient inference capability, the AI method can improve the simulation efficiency. + +MindElec is an AI electromagnetic simulation toolkit developed based on MindSpore. It consists of the electromagnetic model library, data build and conversion, simulation computation, and result visualization. End-to-end AI electromagnetic simulation is supported. Currently, Huawei has achieved phase achievements in the tolerance scenario of Huawei mobile phones. Compared with the commercial simulation software, the S parameter error of AI electromagnetic simulation is about 2%, and the end-to-end simulation speed is improved by more than 10 times. + +MindElec Architecture + +### Data Build and Conversion + +Supports geometric construction in constructive solid geometry (CSG) mode, such as the intersection set, union set, and difference set of rectangles and circles, and efficient tensor conversion of CST and STP data (data formats supported by commercial software such as CST). + +### Simulation + +#### Electromagnetic Model Library + +Includes the physical-driven and data-driven AI electromagnetic models. Physical-driven model refers to network training that does not require additional label data. Only equations and initial boundary conditions are required. Data-driven model refers to training that requires data generated through simulation or experiments. Compared with the data-driven model, the physical-driven model has the advantage of avoiding problems such as cost and mesh independence caused by data generation. The disadvantage of the physical-driven model is that the expression form of the equation needs to be specified and technical challenges such as point source singularity, multi-task loss function, and generalization need to be overcome. + +#### Optimization strategy + +Receives tensor data of AI affinity and performs physical-driven and data-driven electromagnetic simulations. Provides a series of optimization measures to improve model accuracy and reduce training costs. Data compression can effectively reduce the storage and computation workload of the neural network. Multi-scale filtering and dynamic adaptive weighting can improve the model accuracy and overcome the problems such as point source singularity. Few-shot learning will be completed subsequently to reduce the training data volume and training cost. + +### Result Visualization + +The simulation results, such as the S parameters or electromagnetic fields, can be saved in the CSV or VTK files. MindInsight can display the loss function changes during the training process and display the results on the web page in the form of images. ParaView is the third-party open-source software and can dynamically display advanced functions such as slicing and flipping. + +## Installation Guide + +### Confirming the System Environment Information + +| Hardware| Operating System| Status| +| :------------ | :-------------- | :--- | +| Ascend 910 | Ubuntu-x86 | ✔️ | +| | Ubuntu-aarch64 | ✔️ | +| | EulerOS-aarch64 | ✔️ | +| | CentOS-x86 | ✔️ | +| | CentOS-aarch64 | ✔️ | + +- Install MindSpore by referring to [MindSpore Installation Guide](https://www.mindspore.cn/install/en). The version must be 1.4.0 or later. +- For other dependencies, see [setup.py](https://gitee.com/mindspore/mindscience/blob/master/MindElec/setup.py). + +### Installing Using pip + +#### Installing MindSpore + +```bash +pip install https://hiq.huaweicloud.com/download/mindspore/ascend/x86_64/mindspore-1.4.0-cp37-cp37m-linux_x86_64.whl -i https://pypi.tuna.tsinghua.edu.cn/simple +``` + +> - Select a proper installation package based on the Python version on the local host. For example, if the Python version on the local host is 3.7, change `cp38-cp38` in the preceding command to `cp37-cp37m`. + +#### Installing MindElec + +```bash +pip install https://hiq.huaweicloud.com/download/mindscience/x86_64/mindscience_mindelec_ascend-0.1.0-cp37-cp37m-linux_x86_64.whl -i https://pypi.tuna.tsinghua.edu.cn/simple +``` + +> - When the network is connected, dependencies of the MindElec installation package are automatically downloaded during the .whl package installation. For details about dependencies, see [setup.py](https://gitee.com/mindspore/mindscience/blob/master/MindElec/setup.py). In other cases, install the dependencies by yourself. + +### Installing Using Source Code + +1. Download the source code from the code repository. + + ```bash + cd ~ + git clone https://gitee.com/mindspore/mindscience.git + ``` + +2. Build and install MindElec. + + ```bash + cd ~/MindElec + bash build.sh + pip install output/mindscience_mindelec_ascend-{version}-cp37-cp37m-linux_{x86_64}.whl -i https://pypi.tuna.tsinghua.edu.cn/simple + ``` + +## API + +For details about MindElec APIs, see the [API](https://www.mindspore.cn/mindelec/api/en/master/index.html) page. + +## Installation Verification + +Run the following command. If the error message `No module named 'mindelec'` is not displayed, the installation is successful. + +```bash +python -c 'import mindelec' +``` + +## Quick Start + +For details about how to quickly use the AI electromagnetic simulation toolkit for training and inference, see [MindElec Guide](https://www.mindspore.cn/mindelec/docs/en/master/index.html). + +## Documents + +For more details about the installation guides, tutorials, and APIs, see [MindSpore Documents](https://gitee.com/mindspore/docs). + +## Community + +### Governance + +[MindSpore Open Governance](https://gitee.com/mindspore/community/blob/master/governance.md) + +## Contribution + +Make your contribution. For more details, please refer to our [Contributor Wiki](https://gitee.com/mindspore/mindspore/blob/master/CONTRIBUTING.md) + +## Release Notes + +[RELEASE](https://gitee.com/mindspore/mindscience/blob/master/MindElec/RELEASE.md) + +## License + +[Apache License 2.0](LICENSE) diff --git a/MindElec/examples/README.md b/MindElec/examples/README.md new file mode 100644 index 000000000..97b40da57 --- /dev/null +++ b/MindElec/examples/README.md @@ -0,0 +1,12 @@ +# Contents + +- [Data Driven Approach](./data_driven) + - [Parameterization Based Method](./data_driven/parameterization) + - [Point Cloud Based Method](./data_driven/pointcloud) + - [Point Cloud Data Generation](./data_driven/pointcloud/generate_pointcloud) + - [Data Compression](./data_driven/pointcloud/generate_pointcloud) + - [Full Electromagnetic Field Computation](./data_driven/pointcloud/full_em) +- [Physics Driven Approach](./physics_driven) + - [Solving Time Domain Maxwell](./physics_driven/time_domain_maxwell) + - [Solving Frequency Domain Maxwell](./physics_driven/frequency_domain_maxwell) + - [Incremental Learning For Solving Maxwell Equation Set](./physics_driven/incremental_learning) diff --git a/MindElec/examples/README_CN.md b/MindElec/examples/README_CN.md new file mode 100644 index 000000000..45b86008f --- /dev/null +++ b/MindElec/examples/README_CN.md @@ -0,0 +1,12 @@ +# 目录 + +- [数据驱动](./data_driven) + - [参数化方法](./data_driven/parameterization) + - [点云方法](./data_driven/pointcloud) + - [点云生成](./data_driven/pointcloud/generate_pointcloud) + - [数据压缩](./data_driven/pointcloud/generate_pointcloud) + - [全量电磁场计算](./data_driven/pointcloud/full_em) +- [物理驱动](./physics_driven) + - [求解时域麦克斯韦方程](./physics_driven/time_domain_maxwell) + - [求解频域麦克斯韦方程](./physics_driven/frequency_domain_maxwell) + - [增量训练求解麦克斯韦方程族](./physics_driven/incremental_learning) diff --git a/MindElec/examples/data_driven/parameterization/README.md b/MindElec/examples/data_driven/parameterization/README.md new file mode 100644 index 000000000..065609440 --- /dev/null +++ b/MindElec/examples/data_driven/parameterization/README.md @@ -0,0 +1,103 @@ +# Contents + + + +- [Contents](#contents) +- [**Parameterized Electromagnetic Simulation**](#parameterized-electromagnetic-simulation) +- [**Model Architecture**](#model-architecture) +- [**Datasets**](#datasets) +- [**Requirements**](#requirements) +- [**Script Description**](#script-description) + - [**Script and Code Sample**](#script-and-code-sample) + - [**Parameters**](#parameters) + - [**Model Training**](#model-training) + - [**Usage**](#usage) +- [Random Seed Setting](#random-seed-setting) +- [MindScience Home Page](#mindscience-home-page) + + + +# **Parameterized Electromagnetic Simulation** + +In some scenarios of electromagnetic simulation (such as tolerance evaluation), the structure can be described by a set of parameters. These parameters can be used as the input of neural network to simulate the scattering parameters of different structures. This section describes how to use MindElec to simulate the scattering parameters of antennas and mobile phones. For details, see the parametrized electromagnetic simulation tutorial. + +# **Model Architecture** + +The following figure shows the network architecture of the parametrized electromagnetic simulation model. + +![network_architecture](./docs/network_architecture_en.JPG) + +The network inputs are the changed parameters, and the output is the S11 parameter of each frequency. + +# **Datasets** + +Use the `generate_data` function in `src/dataset.py` to automatically obtain 25 x 50 x 25 block data from the original point cloud data for training or testing. + +- Dataset size: There are 495 pairs of parameter-S11 samples in the bowtie antenna dataset. The training set and testing set are randomly divided into 9:1. There are 284 pairs of parameter-S11 samples in the mobile phone dataset. The training set and test set are randomly divided into 9:1. +- Data format: tensor data + - Note: Data is processed in src/dataset.py. + +# **Requirements** + +- Hardware (Ascend) + - Prepare the Ascend AI Processor to set up the hardware environment. +- Framework + - [MindSpore](https://www.mindspore.cn/install/en) +- For more information, see the following resources: + - [MindSpore Tutorial]() + - [MindSpore Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +# **Script Description** + +## **Script and Code Sample** + +```path +. +└─parameterization + ├─README.md + ├─src + ├──dataset.py # Dataset config + ├──loss.py # Loss function + ├──maxwell_model.py # Parameterized electromagnetic simulation model + ├──train.py # Model train + ├──eval.py # Model eval +``` + +## **Parameters** + +You can configure training and evaluation parameters in `train.py` and `eval.py` . + +```python +"epoch": 10000, # number of epochs +"print_interval":1000, # interval for evaluation +"batch_size": 8, # size of mini-batch +"lr": 0.0001, # basic learning rate +"input_dim": 3, # parameter Dimension +"device_num": 1, # training in this equipment +"device_target": "Ascend", # device Name Ascend/GPU +"checkpoint_dir": './ckpt/', # checkpoint saved path +"save_graphs_path": './graph_result/', # graphs saved path +"input_path": './dataset/Butterfly_antenna/data_input.npy', # input parameter dataset path +"label_path": './dataset/Butterfly_antenna/data_label.npy', # output S11 dataset Path +``` + +## **Model Training** + +### **Usage** + +You can use the train.py script to train a parameterized electromagnetic simulation model. During the training, the model parameters are automatically saved in the configured output directory. + +```shell +python train.py --input_path INPUT_PATH + --label_path LABEL_PATH + --device_num 0 + --checkpoint_dir CKPT_PATH +``` + +# Random Seed Setting + +The seed for the `create_dataset` function are set in `dataset.py`. Random seeds in train.py are also used. + +# MindScience Home Page + +Visit the official website [home page](). diff --git a/MindElec/examples/data_driven/parameterization/README_CN.md b/MindElec/examples/data_driven/parameterization/README_CN.md new file mode 100644 index 000000000..84ba9819c --- /dev/null +++ b/MindElec/examples/data_driven/parameterization/README_CN.md @@ -0,0 +1,97 @@ +# 目录 + +- [目录](#目录) +- [参数化电磁仿真](#参数化电磁仿真) +- [模型架构](#模型架构) +- [数据集](#数据集) +- [环境要求](#环境要求) +- [脚本说明](#脚本说明) + - [脚本及样例代码](#脚本及样例代码) + - [脚本参数](#脚本参数) + - [模型训练](#模型训练) + - [用法](#用法) +- [随机情况说明](#随机情况说明) +- [MindScience主页](#mindscience主页) + +# 参数化电磁仿真 + +电磁仿真的某些场景(如容差评估)中,目标结构可以用一组参数描述,将这些参数作为神经网络的输入可以仿真不同目标结构的散射参数。本案例介绍如何通过MindElec仿真天线和手机的散射参数,详细信息可以参考参数化电磁仿真教程。 + +# 模型架构 + +参数化电磁仿真模型整体网络架构如下: + +![network_architecture](./docs/network_architecture_ch.JPG) + +网络输入为变化的参数,网络输出为各个频点下的S11参数。 + +# 数据集 + +- 数据集大小:蝶形天线共495个参数-S11样本对,按照9:1随机划分训练集和测试集;手机共284个参数-S11样本对,按照9:1随机划分训练集和测试集。 +- 数据格式:张量数据 + - 注:数据在src/dataset.py中处理。 + +# 环境要求 + +- 硬件(Ascend) + - 准备Ascend处理器搭建硬件环境。 +- 框架 + - [MindSpore](https://www.mindspore.cn/install) +- 如需查看详情,请参见如下资源: + - [MindSpore教程](https://www.mindspore.cn/tutorials/zh-CN/master/index.html) + - [MindSpore Python API](https://www.mindspore.cn/docs/api/zh-CN/master/index.html) + +# 脚本说明 + +## 脚本及样例代码 + +```path +. +└─parameterization + ├─README.md + ├─src + ├──dataset.py # 数据集配置 + ├──loss.py # 损失函数 + ├──maxwell_model.py # 参数化电磁仿真模型 + ├──train.py # 训练网络 + ├──eval.py # 评估网络 +``` + +## 脚本参数 + +在train.py和eval.py中可以配置训练和评估参数。 + +```python +"epoch": 10000, # 训练轮数 +"print_interval":1000, # 评估间隔 +"batch_size": 8, # batch_size +"lr": 0.0001, # 基础学习率 +"input_dim": 3, # 参数维度 +"device_num": 1, # 在该设备训练 +"device_target": "Ascend", # 设备名称Ascend GPU +"checkpoint_dir": './ckpt/', # checkpoint保存路径 +"save_graphs_path": './graph_result/', # 计算图保存路径 +"input_path": './dataset/Butterfly_antenna/data_input.npy', # 输入参数数据集路径 +"label_path": './dataset/Butterfly_antenna/data_label.npy', # 输出S11数据集路径 +``` + +## 模型训练 + +### 用法 + +您可以通过train.py脚本训练参数化电磁仿真模型,训练过程中模型参数会自动保存: + +```shell +python train.py --input_path INPUT_PATH + --label_path LABEL_PATH + --device_num 0 + --checkpoint_dir CKPT_PATH +``` + +# 随机情况说明 + +dataset.py中设置了“create_dataset”函数内的种子,同时还使用了train.py中的随机种子。 + +# MindScience主页 + +请浏览官网[主页](https://gitee.com/mindspore/mindscience)。 diff --git a/MindElec/examples/data_driven/parameterization/docs/network_architecture_ch.jpg b/MindElec/examples/data_driven/parameterization/docs/network_architecture_ch.jpg new file mode 100644 index 0000000000000000000000000000000000000000..904666c3d42d821e9843f389cb3433868b6dfaa6 GIT binary patch literal 49004 zcmeEv2|Sd0+y5;|QE4GrM)|5M*EgZH6FdF|?3F9a;d6mV!U@g6yG%;Ftp(8{ds% z{f5>;(2A;lQHUEn2VMig!2=TQ2R|0Gj(+|7C4pZO_$7f~68I&7UlRCFlz@}Hx221n z#K!&Fn;?km8s{vU;0LH7`P#xC$1kEHXOB6R6(J}p>i6T{k;UR$Eb0A17XOJl^y{8~ zN#K_Reo5e$1b#{2cL^wLQ`oMyO;t@nNn-mpH6=y0?TXMJJqJNfkUiuLSwb$59V7v5 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zVJ)(UmWMuZ@7Akfj$hkAeqy?^uGni(#~Cu9f7!Yuxv5u#d9H_Y+)-wDDPftL#4XW% z3pDuJT+u0H@2K=y*u~K*!Fi4cmor%nI0IU4GpJst`__ebp7>35ZLpgx?=Gs} zwe^tKPi`WW)^z5+{LELi^F_$P%~>VJGaP5^O;0+b;MIGM)Me0O}tYQds#RdwI*WvWpAg-77)?S;|0#A7|eCeQ6_)hh^n}Wh=zW z-s3uWMIWCkMiKgJ0)N)^V>&|VUmK)EJ~#x~N~tcI#Vkz>{qS+(aVNHL{Cx&VIxep) zD;I+1y628SKiN&6N?88@G5tq~{(tM5ce_>yT2!d3TITKhF#Fspsrulc>P|&5qxj{8 z2-V1@X$ocD$~g<`)(o@uUyFl79p+!Kae!Y0??Pm9}@*vs*OzH3b& z@tWh`*hkl!WFY&fAG) + - [MindSpore Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +# **Script Description** + +## **Script and Code Sample** + +```path +. +└─auto_encoder + ├─README.md + ├─src + ├─dataset.py # Preparing and importing Datasets + ├─metric.py # Evaluation Indicator + ├─model.py # Model + ├─lr_generator.py # Learning rate generation + ├──train.py # Self-supervised training compression model + ├──data_compress.py # Block-wise data compression +``` + +## **Parameters** + +Training parameters can be configured in the `train.py` file. + +```python +'base_channels': 8, # basic feature numbers +'input_channels': 4, # input feature numbers +'epochs': 2000, # number of epochs +'batch_size': 128, # size of mini-batch +'save_epoch': 100, # interval for save checkpoints +'lr': 0.001, # basic learning rate +'lr_decay_milestones': 5, # number of learning rate decays +'eval_interval': 20, # evaluation interval +'patch_shape': [25, 50, 25], # dimension size of block data +``` + +## **Self-supervised Training of the Compression Model** + +### **Usage** + +You can use the `train.py` script to train the compression model. During the training, checkpoints of the Encoder are automatically saved. + +``` shell +python train.py --train_input_path TRAIN_INPUT_PATH + --test_input_path TEST_INPUT_PATH + --device_num 0 + --checkpoint_dir CKPT_PATH +``` + +## **Block-wise Data Compression** + +### **Usage** + +After the compression model training is complete, you can run the `data_compress.py` command to start block-wise data compression. + +``` shell +python data_compress.py --input_path TEST_INPUT_PATH + --data_config_path DATA_CONFIG_PATH + --device_num 0 + --model_path CKPT_PATH + --output_save_path OUTPUT_PATH +``` + +The compressed point cloud data can be found in the configured output directory. + +# **Random Seed Setting** + +The seed for the `create_dataset` function and the random seed in the `generate_data` random partition training test set are set in `dataset.py`. + +# **MindScience Home Page** + +Visit the official website [home page](https://gitee.com/mindspore/mindscience). diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/README_CN.md b/MindElec/examples/data_driven/pointcloud/data_compression/README_CN.md similarity index 60% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/README_CN.md rename to MindElec/examples/data_driven/pointcloud/data_compression/README_CN.md index 50ea1760b..b2984d06c 100644 --- a/MindElec/examples/data_driven/pointcloud/auto_encoder/README_CN.md +++ b/MindElec/examples/data_driven/pointcloud/data_compression/README_CN.md @@ -2,63 +2,51 @@ - [目录](#目录) - [点云数据压缩](#点云数据压缩) - - [压缩模型自监督训练](#压缩模型自监督训练) - - [数据压缩](#数据压缩) + - [压缩模型自监督训练](#压缩模型自监督训练) + - [数据分块压缩](#数据分块压缩) - [数据集](#数据集) -- [特性](#特性) - - [混合精度](#混合精度) - [环境要求](#环境要求) - [脚本说明](#脚本说明) - - [脚本及样例代码](#脚本及样例代码) - - [脚本参数](#脚本参数) - - [压缩模型训练](#压缩模型训练) - - [用法](#用法) - - [数据分块压缩](#数据分块压缩) - - [用法](#用法-1) + - [脚本及样例代码](#脚本及样例代码) + - [脚本参数](#脚本参数) + - [压缩模型训练](#压缩模型训练) + - [用法](#用法) + - [数据分块压缩](#数据分块压缩-1) + - [用法](#用法-1) - [随机情况说明](#随机情况说明) - [MindScience主页](#mindscience主页) # 点云数据压缩 -使用点云数据计算散射参数时,如果目标体系结构复杂或结构调整比较精细,点云数据的分辨率需要设置得非常高才能保证点云数据的有效性;但同时,分辨率高会导致单条数据过大的问题,以手机仿真为例,该场景中单条点云数据通常包含上亿个点,深度仿真方法处理这种数据需要大量的显存与算力,通用醒与高效性也会降低。 +使用点云数据计算散射参数时,如果目标体系结构复杂或结构调整比较精细,点云数据的分辨率需要设置得非常高才能保证点云数据的有效性;但同时,分辨率高会导致单条数据过大的问题,以手机仿真计算为例,该场景中单条点云数据通常包含上亿个点,深度仿真计算方法处理这种数据需要大量的显存与算力,通用醒与高效性也会降低。 -针对该问题我们提出使用基于神经网络的压缩模型对原始点云数据做分块压缩,该压缩流程分为压缩模型自监督训练与数据压缩两步: +针对该问题我们提出使用基于神经网络的压缩模型对原始点云数据做分块压缩,该压缩流程分为压缩模型自监督训练与数据分块压缩两步: ## 压缩模型自监督训练 -- 随机从点云数据中取出25 * 50 * 25的数据块作为数据集 +- 随机从点云数据中取出 25 x 50 x 25 的数据块作为训练数据集 - 构建基于AutoEncoder结构的压缩-重建模型,以最小化重建误差为目标训练该模型 - 保存Encoder部分checkpoint -## 数据压缩 - -- 将点云数据分为25 * 50 * 25的块数据,分批压缩 -- 将压缩向量按分块原空间位置排布,形成压缩数据 +## 数据分块压缩 +- 将点云数据分为 25 x 50 x 25 的块数据,分块压缩 +- 将压缩向量按分块前的原空间位置排布,形成压缩数据 # 数据集 -使用src/dataset.py中的generate_data函数可以自动从原始点云数据中随机取出25 * 50 * 25 的块数据用于训练或者测试 - -# 特性 - -## 混合精度 - -默认采用[混合精度](https://www.mindspore.cn/docs/programming_guide/zh-CN/master/enable_mixed_precision.html)的训练方法提高深度学习神经网络的训练速度,同时保持单精度训练所能达到的网络精度。 - -以FP16算子为例,如果输入数据类型为FP32,MindSpore后台会自动降低精度来处理数据。用户可打开INFO日志,搜索“reduce precision”查看精度降低的算子。 +使用src/dataset.py中的generate_data函数可以自动从原始点云数据中随机取出 25 x 50 x 25 的块数据用于训练或者测试 # 环境要求 -- 硬件(Ascend或GPU) - - 准备Ascend或GPU处理器搭建硬件环境。 +- 硬件(Ascend) + - 准备Ascend处理器搭建硬件环境。 - 框架 - [MindSpore](https://www.mindspore.cn/install) - 如需查看详情,请参见如下资源: - [MindSpore教程](https://www.mindspore.cn/tutorials/zh-CN/master/index.html) - [MindSpore Python API](https://www.mindspore.cn/docs/api/zh-CN/master/index.html) - # 脚本说明 ## 脚本及样例代码 @@ -97,10 +85,11 @@ ### 用法 您可以通过train.py脚本训练压缩模型,训练过程中Encoder部分参数会自动保存: -``` -python train.py --train_input_path TRAIN_INPUT_PATH - --test_input_path TEST_INPUT_PATH - --device_num 0 + +``` shell +python train.py --train_input_path TRAIN_INPUT_PATH + --test_input_path TEST_INPUT_PATH + --device_num 0 --checkpoint_dir CKPT_PATH ``` @@ -108,21 +97,22 @@ python train.py --train_input_path TRAIN_INPUT_PATH ### 用法 -压缩模型训练结束后可以通过data_compress.py开始数据分块压缩: -``` -python data_compress.py --input_path TEST_INPUT_PATH +压缩模型训练结束后可以通过`data_compress.py`开始数据分块压缩: + +``` shell +python data_compress.py --input_path TEST_INPUT_PATH --data_config_path DATA_CONFIG_PATH - --device_num 0 + --device_num 0 --model_path CKPT_PATH --output_save_path OUTPUT_PATH ``` 压缩结束您可以在压缩文件输出目录中找到压缩后的点云数据。 - # 随机情况说明 dataset.py中设置了“create_dataset”函数内的种子,同时还设置了“generate_data”随机划分训练测试集中的随机种子。 # MindScience主页 -请浏览官网[主页](https://gitee.com/mindspore/mindsciencetmp)。 + +请浏览官网[主页](https://gitee.com/mindspore/mindscience)。 diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/data_compress.py b/MindElec/examples/data_driven/pointcloud/data_compression/data_compress.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/data_compress.py rename to MindElec/examples/data_driven/pointcloud/data_compression/data_compress.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/src/config.py b/MindElec/examples/data_driven/pointcloud/data_compression/src/config.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/src/config.py rename to MindElec/examples/data_driven/pointcloud/data_compression/src/config.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/src/dataset.py b/MindElec/examples/data_driven/pointcloud/data_compression/src/dataset.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/src/dataset.py rename to MindElec/examples/data_driven/pointcloud/data_compression/src/dataset.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/src/lr_generator.py b/MindElec/examples/data_driven/pointcloud/data_compression/src/lr_generator.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/src/lr_generator.py rename to MindElec/examples/data_driven/pointcloud/data_compression/src/lr_generator.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/src/metric.py b/MindElec/examples/data_driven/pointcloud/data_compression/src/metric.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/src/metric.py rename to MindElec/examples/data_driven/pointcloud/data_compression/src/metric.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/src/model.py b/MindElec/examples/data_driven/pointcloud/data_compression/src/model.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/src/model.py rename to MindElec/examples/data_driven/pointcloud/data_compression/src/model.py diff --git a/MindElec/examples/data_driven/pointcloud/auto_encoder/train.py b/MindElec/examples/data_driven/pointcloud/data_compression/train.py similarity index 100% rename from MindElec/examples/data_driven/pointcloud/auto_encoder/train.py rename to MindElec/examples/data_driven/pointcloud/data_compression/train.py diff --git a/MindElec/examples/data_driven/pointcloud/full_em/README.md b/MindElec/examples/data_driven/pointcloud/full_em/README.md new file mode 100644 index 000000000..b3387d7cb --- /dev/null +++ b/MindElec/examples/data_driven/pointcloud/full_em/README.md @@ -0,0 +1,129 @@ +# Table of Contents + + + +- [Table of Contents](#table-of-contents) +- [Point Cloud Data Electromagnetic Simulation](#point-cloud-data-electromagnetic-simulation) +- [Dataset](#dataset) +- [Environment Requirements](#environment-requirements) +- [Quick Start](#quick-start) +- [Script Description](#script-description) + - [Script and Sample Code](#script-and-sample-code) + - [Script Parameters](#script-parameters) + - [Training Process](#training-process) + - [Evaluation Process](#evaluation-process) +- [Random Seed Setting](#random-seed-setting) +- [MindScience Home Page](#mindscience-home-page) + + + +# Point Cloud Data Electromagnetic Simulation + +The conventional electromagnetic simulation method is based on finite element method or finite difference method, which requires a lot of iterative calculation, leads to a long time of calculation and cannot meet the requirements of modern product design for simulation efficiency. The AI method directly obtains electromagnetic field distribution through end-to-end simulation calculation, skipping iterative calculation, greatly improving the simulation speed and shortening the product R&D period. + +# Dataset + +Generate electromagnetic field training input data based on [Point Cloud Data Generation]() and [Point Cloud Data Compression](), and then call `src/inputs_process.py` to bind the training input coordinates and source location information. The training label needs to be generated by using commercial simulation software or a finite difference time domain algorithm, and then `src/label_process.py` is called to obtain the final training label. + +# Environment Requirements + +- Hardware (Ascend) + - Prepare the Ascend AI Processor to set up the hardware environment. +- Framework + - [MindElec](https://www.mindspore.cn/install/en) +- For more information, see the following resources: + - [MindElec Tutorial]() + - [MindElec Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +# Quick Start + +After installing MindElec, you can perform the following training and evaluation steps: + +- Running in the Ascend AI Processor environment + +```python +# Example of Training Process +bash run_train.sh [DATASET_PATH] + +# Example of Evaluation Process +bash run_eval.sh [DATASET_PATH] [CHECKPOINT_PATH] +``` + +# Script Description + +## Script and Sample Code + +```path +. +└─full_em + ├─README.md + ├─scripts + ├──run_train.sh # Start Ascend training. + ├──run_eval.sh # Start Ascend evaluation. + ├─src + ├──input_process.py # Pre-processes of the training input + ├──label_process.py # Pre-processes of the training label. + ├──config.py # Parameter configuration + ├──dataset.py # Dataset configuration + ├──loss.py # Loss function + ├──maxwell_model.py # Electromagnetic simulation model of point cloud data + ├──train.py #Training network + ├──eval.py #Evaluate the network +``` + +## Script Parameters + +You can configure training parameters in the src/config.py file. + +``` python +"epochs": 500, # Training epoch numbers +"batch_size": 8, # Batch size of input tensor +"lr": 0.00001, # Init value of learning rate +"t_solution": 162, # Time axis resolution +"x_solution": 50, # Spatial X-axis resolution +"y_solution": 50, # Spatial Y-axis resolution +"z_solution": 8, # Spatial Z-axis resolution +"save_checkpoint_epochs": 5, # Checkpoint Save Interval +"keep_checkpoint_max": 20 # Maximum number of saved checkpoints +``` + +## Training Process + +```shell +bash run_train.sh [DATASET_PATH] +``` + +Set the following script parameter: + +- `DATASET_PATH`: path of the training data + +The training result will be stored in the `train` folder in the current path. You can find the checkpoint file and the result in the log. + +## Evaluation Process + +Check the checkpoint path used for evaluation before running the following command. Set the checkpoint path to an absolute path, for example, `username/train/ckpt/Maxwell3d-5_1275.ckpt`. + +```shell +bash run_eval.sh [DATASET_PATH] [CHECKPOINT_PATH] +``` + +Set the following script parameters: + +- `DATASET_PATH`: path of the evaluation dataset +- `CHECKPOINT_PATH`: absolute path of the checkpoint file + +Checkpoints are generated during training. + +The evaluation result will be stored in the `eval` folder in the example path. You can find the following results in the log: + +```shell +test_res: l2_error: 0.9250676897 +``` + +# Random Seed Setting + +The seed of the "create_dataset" function is set in dataset.py, and the random seed in train.py is also used. + +# MindScience Home Page + +Visit the official website [home page](). diff --git a/MindElec/examples/physics_driven/ time_domain_maxwell/README.md b/MindElec/examples/physics_driven/ time_domain_maxwell/README.md new file mode 100644 index 000000000..c07f40b6e --- /dev/null +++ b/MindElec/examples/physics_driven/ time_domain_maxwell/README.md @@ -0,0 +1,285 @@ +# Contents + +- [Contents](#contents) +- [Maxwell's Equations](#maxwells-equations) +- [AI Solver of Maxwell's Equations with Point Source](#ai-solver-of-maxwells-equations-with-point-source) +- [Datasets](#datasets) +- [Features](#features) + - [Mixed Precision](#mixed-precision) +- [Environment Requirements](#environment-requirements) +- [Script Description](#script-description) + - [Script and Sample Code](#script-and-sample-code) + - [Script Parameters](#script-parameters) +- [Model Architecture](#model-architecture) +- [Training](#training) + - [Training Performance and Accuracy](#training-performance-and-accuracy) +- [Evaluation](#evaluation) + - [Evaluation Performance and Accuracy](#evaluation-performance-and-accuracy) +- [Description of Random Situation](#description-of-random-situation) +- [MindScience Home Page](#mindscience-home-page) + +# Maxwell's Equations + +Maxwell's equations are a set of partial differential equations that describe how electric and magnetic fields are generated by charges and currents of the fields. The governing equations with excitation sources are described as follows: +$$ +\nabla\times E=-\mu \dfrac{\partial H}{\partial t}, +$$ +$$ +\nabla\times H=\epsilon \dfrac{\partial E}{\partial t} + J(x, t) +$$ + +The constants $\mu$ and $\epsilon$ are known as the permeability and permittivity of the free space, respectively. +$J(x, t)$ represents a known excitation source function. Common excitation sources include point source, line source, and area source. In this tutorial, point source is considered, of which mathematical description can be expressed as follows: +$$ +J(x, t)=\delta(x - x_0)g(t) +$$ + +# AI Solver of Maxwell's Equations with Point Source + +The overall network architecture for AI solution to point source Maxwell equations is as follows: + +![PINNs_for_Maxwell](./docs/PINNs_for_Maxwell.png) + +Taking two-dimensional point source Maxwell equations as an example, the network input is $\Omega=(x, y, t)\in [0,1]^3$, and the output is $u=(E_x, E_y, H_z)$ . Based on the output of the network and the automatic differential mechanism of MindSpore, the loss functions required for network training can be constructed. The loss function consists of three parts: governing equations (PDE loss), initial condition (IC loss), and boundary condition (BC loss). The initial electromagnetic field is set to be zeros, and the strandard Mur's second-order absorbing boundary condition is utilized on the boundaries. Due to the existence of the excitation source, we divide the PDE loss into two parts: the region near the excitation source $\Omega_0$ and the region without the excitation source $\Omega_1$. Ultimately, our overall loss function can be expressed as follows: +$$L_{total} = \lambda_{src}L_{src} + \lambda_{src_ic}L_{src_ic} + \lambda_{no_src}L_{no_src} + \lambda_{no_src_ic}L_{no_src_ic} + \lambda_{bc}L_{bc} $$ +where $\lambda$s indicates the weight of each loss function. In order to reduce the difficulty of weight selection, we adopt the adaptive weighting algorithm. + +# Datasets + +- Training data: Based on five loss functions, we randomly pick points for the source region, no source region, boundary, and initial condition, respectively, as the input of the network. +- Evaluation data: We generate high-precision electromagnetic fields based on traditional finite-difference time-domain algorithms. + - Note: Data is processed in src/dataset.py. + +# Features + +## Mixed Precision + +The [mixed precision](https://www.mindspore.cn/docs/programming_guide/en/master/enable_mixed_precision.html) training strategy uses single-precision and semi-precision data to improve the training speed of deep learning neural networks, while maintaining the network precision that can be achieved by single-precision training. Mixed precision training improves computing speed and reduces memory usage while enabling larger models or larger batches of training on specific hardware. +Take the FP16 operator as an example. If the input data type is FP32, the MindSpore background automatically reduces the precision to process data. You can open the INFO log and search for "reduce precision" to view operators whose precision decreases. + +# Environment Requirements + +- Hardware (Ascend) + - Prepare the Ascend AI Processor to set up the hardware environment. +- Framework + - [MindElec](https://www.mindspore.cn/install/en) +- For more information, refer to the following resources + - [MindElec Tutorial](https://www.mindspore.cn/tutorials/en/master/index.html) + - [MindElec Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +# Script Description + +## Script and Sample Code + +```path +. +└─Maxwell + ├─README.md + ├─figure # schematic diagram of README + ├─src + ├──dataset.py # configuration of dataset + ├──maxwell.py # definitions of Maxwell's Equations with point source + ├──lr_scheduler.py # learning-rate decay scheduler + ├──callback.py # callback functions + ├──sampling_config.py # parameter profile for randomly sampled datasets + ├──utils.py # auxiliary functions + ├──train.py # training script + ├──eval.py # evaluation script + ├──config.json # training and evaluation parameters +``` + +## Script Parameters + +The dataset sampling control parameters are set in the src/sampling_config.py file as follows: + +```python +src_sampling_config = edict({ # sampling configuration of the near-source region + 'domain': edict({ # sampling configuration of domain points + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform' # random sampling manner + }), + 'IC': edict({ # sampling configuration of initial boundary points + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + }), + 'time': edict({ # sampling configuration of time + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + }), +}) + +no_src_sampling_config = edict({ # sampling configuration of the region without source + 'domain': edict({ # sampling configuration of domain points + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform' # random sampling manner + }), + 'IC': edict({ # sampling configuration of initial boundary points + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + }), + 'time': edict({ # sampling configuration of time + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + }), +}) + +bc_sampling_config = edict({ # sampling configuration of boundary points + 'BC': edict({ # spatial sampling configuration of boundary + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + 'with_normal': False # whether to output the boundary's normal vector + }), + 'time': edict({ # sampling configuration of time + 'random_sampling': True, # whether sampling randomly + 'size': 65536, # number of sampled points + 'sampler': 'uniform', # random sampling manner + }), +}) +``` + +Training parameters are configured in config.json as follows: + +```python +{ + "Description" : [ "PINNs for solve Maxwell's equations" ], # case description + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL", # case tag + "random_sampling" : false, # generate dataset by random sampling or not. If False, offline dataset will be loaded + "coord_min" : [0, 0], # minimum coordinates of the rectangular computing domain + "coord_max" : [1, 1], # maximum coordinates of the rectangular computing domain + "src_pos" : [0.4975, 0.4975], # points source location + "src_frq": 1e+9, # main frequency of the excitation source + "range_t" : 4e-9, # simulated physical time duration + "input_scale": [1.0, 1.0, 2.5e+8], # scale coefficients of input + "output_scale": [37.67303, 37.67303, 0.1], # scale coefficients of output + "src_radius": 0.03, # radius of points source region after Gaussian smoothing + "input_size" : 3, # input dimension + "output_size" : 3, # output dimension + "residual" : true, # whether contains residual block in the network + "num_scales" : 4, # number of subnets of the multi-scale network + "layers" : 7, # number of layers (contains input, output and hidden layers) + "neurons" : 64, # number of neurons of the hidden layers + "amp_factor" : 2.5, # amplification factor of input + "scale_factor" : 2, # amplification coefficient of each subnet + "save_ckpt" : true, # whether save checkpoint during training + "load_ckpt" : false, # whether load checkpoint for incremental training + "train_with_eval": false # whether evaluation during training + "save_ckpt_path" : "./ckpt", # the path to save checkpoint + "load_ckpt_path" : "", # the path to load checkpoint + "train_data_path" : "./input/", # the path to load the offline training dataset + "test_data_path" : "./input/benchmark/", # the path to loas the offline evaluation dataset + "lr" : 0.001, # the initial learning rate + "milestones" : [1000, 1500, 1800], # milestones of learning rate decay + "lr_gamma" : 0.1, # attenuation coefficient of learning rate decay + "train_epoch" : 2000, # number of epochs of training + "train_batch_size" : 8192, # batch size of training + "test_batch_size" : 32768, # batch size of evaluation + "predict_interval" : 10 # evaluation frequency during training + "vision_path" : "./vision", # path to save the visualization files + "summary_path" : "./summary" # path to save the summary data of mindinsight +} +``` + +# Model Architecture + +In this tutorial, the network architecture of multi-channel residual network combined with Sin activation function is used. + +![network_architecture](./docs/multi-scale-NN.png) + +# Training + +You can start training by running train.py as follows. The model parameters are automatically saved during training. + +```python +python train.py +``` + +## Training Performance and Accuracy + +The script provides the function of evaluation while training. The total loss, performance data, and precision evaluation result of network training are as follows: + +```python +epoch: 1 step: 8, loss is 11.496931 +epoch time: 185.432 s, per step time: 23178.955 ms +epoch: 2 step: 8, loss is 9.000967 +epoch time: 0.511 s, per step time: 63.926 ms +epoch: 3 step: 8, loss is 8.101629 +epoch time: 0.490 s, per step time: 61.248 ms +epoch: 4 step: 8, loss is 7.4107575 +epoch time: 0.490 s, per step time: 61.230 ms +epoch: 5 step: 8, loss is 7.0657954 +epoch time: 0.484 s, per step time: 60.477 ms +epoch: 6 step: 8, loss is 6.894913 +epoch time: 0.482 s, per step time: 60.239 ms +epoch: 7 step: 8, loss is 6.6508193 +epoch time: 0.482 s, per step time: 60.297 ms +epoch: 8 step: 8, loss is 6.316092 +epoch time: 0.483 s, per step time: 60.343 ms +epoch: 9 step: 8, loss is 6.264338 +epoch time: 0.484 s, per step time: 60.463 ms +epoch: 10 step: 8, loss is 6.113656 +epoch time: 0.483 s, per step time: 60.392 ms +... +epoch: 5990 step: 8, loss is 0.7306183 +epoch time: 0.485 s, per step time: 60.684 ms +epoch: 5991 step: 8, loss is 0.7217314 +epoch time: 0.484 s, per step time: 60.559 ms +epoch: 5992 step: 8, loss is 0.7106861 +epoch time: 0.483 s, per step time: 60.399 ms +epoch: 5993 step: 8, loss is 0.7238727 +epoch time: 0.484 s, per step time: 60.520 ms +epoch: 5994 step: 8, loss is 0.72685266 +epoch time: 0.486 s, per step time: 60.735 ms +epoch: 5995 step: 8, loss is 0.7518991 +epoch time: 0.485 s, per step time: 60.613 ms +epoch: 5996 step: 8, loss is 0.7451218 +epoch time: 0.482 s, per step time: 60.308 ms +epoch: 5997 step: 8, loss is 0.74497545 +epoch time: 0.483 s, per step time: 60.313 ms +epoch: 5998 step: 8, loss is 0.72911096 +epoch time: 0.483 s, per step time: 60.425 ms +epoch: 5999 step: 8, loss is 0.7317751 +epoch time: 0.485 s, per step time: 60.591 ms +epoch: 6000 step: 8, loss is 0.71511096 +epoch time: 0.485 s, per step time: 60.580 ms +========================================================================================== +l2_error, Ex: 0.03556711707787814 , Ey: 0.03434167989333677 , Hz: 0.022974221345851673 +========================================================================================== +``` + +MindInsight also provides the ability to visualize accuracy curves in real time. You can open the collected summary file on the web page. The error curves of Ex/Ey/Hz during training are shown below. + +![l2_error_for_Maxwell](./docs/l2_error_for_Maxwell.png) + +# Evaluation + +After training, you can start evaluation by running eval.py as follows: + +```python +python eval.py +``` + +## Evaluation Performance and Accuracy + +```python +predict total time: 40.59165406227112 s +l2_error, Ex: 0.03556711707787814 , Ey: 0.03434167989333677 , Hz: 0.022974221345851673 +``` + +Instantaneous electromagnetic fields compared with the reference FDTD results are depicted in the following figure. + +![Instan_Field_For_Maxwell](./docs/Instan_Field_For_Maxwell.png) + +# Description of Random Situation + +In train.py, random seed is set to initialize the network weights. Network inputs are randomly sampled by uniform distribution. + +# MindScience Home Page + +Visit the official website [home page](https://gitee.com/mindspore/mindscience). diff --git a/MindElec/examples/physics_driven/ time_domain_maxwell/README_CN.md b/MindElec/examples/physics_driven/ time_domain_maxwell/README_CN.md new file mode 100644 index 000000000..61a75ae11 --- /dev/null +++ b/MindElec/examples/physics_driven/ time_domain_maxwell/README_CN.md @@ -0,0 +1,286 @@ +# 目录 + +- [目录](#目录) +- [麦克斯韦方程组](#麦克斯韦方程组) +- [AI求解点源麦克斯韦方程组](#ai求解点源麦克斯韦方程组) +- [数据集](#数据集) +- [特性](#特性) + - [混合精度](#混合精度) +- [环境要求](#环境要求) +- [脚本说明](#脚本说明) + - [脚本及样例代码](#脚本及样例代码) + - [脚本参数](#脚本参数) +- [模型描述](#模型描述) +- [模型训练](#模型训练) + - [训练性能与精度](#训练性能与精度) +- [模型推理](#模型推理) + - [推理性能与精度](#推理性能与精度) +- [随机情况说明](#随机情况说明) +- [MindScience主页](#mindscience主页) + +# 麦克斯韦方程组 + +麦克斯韦方程组一组描述电场、磁场与电荷密度、电流密度之间关系的偏微分方程,有激励源的控制方程具体描述如下: + +$$ +\nabla\times E=-\mu \dfrac{\partial H}{\partial t}, +$$ +$$ +\nabla\times H=\epsilon \dfrac{\partial E}{\partial t} + J(x, t) +$$ + +其中$\epsilon,\mu$分别是介质的绝对介电常数、绝对磁导率。$J(x, t)$是电磁仿真过程中的激励源,常用的加源方式包括点源,线源和面源,本案例主要考虑点源的形式,数学上表示为: +$$ +J(x, t)=\delta(x - x_0)g(t) +$$ + +# AI求解点源麦克斯韦方程组 + +AI求解点源麦克斯韦方程组的整体网络架构如下: + +![PINNs_for_Maxwell](./docs/PINNs_for_Maxwell.png) + +以二维点源麦克斯韦方程组为例,网络输入为$\Omega=(x, y, t)\in [0,1]^3$, 输出为方程的解$u=(E_x, E_y, H_z)$。基于网络的输出和MindSpore框架的自动微分功能,训练损失函数来自于控制方程(PDE loss),初始条件(IC loss)和边界条件(BC loss)三部分。这里我们采用电磁场为0的初始值,边界采用二阶Mur吸收边界条件。由于激励源的存在,我们将PDE loss的计算分为两部分:激励源附近区域$\Omega_0$与非激励源区域$\Omega_1$。最终我们整体的损失函数可以表示为: +$$L_{total} = \lambda_{src}L_{src} + \lambda_{src_ic}L_{src_ic} + \lambda_{no_src}L_{no_src} + \lambda_{no_src_ic}L_{no_src_ic} + \lambda_{bc}L_{bc} $$ +其中$\lambda$s表示各项损失函数的权重。为了降低权重选择的难度,我们采用了自适应加权的算法,具体参见我们的论文。 + +# 数据集 + +- 训练数据:基于五个损失函数,我们分别对有源区域,无源区域,边界,初始时刻进行随机采点,作为网络的输入。 +- 评估数据:我们基于传统的时域有限差分算法生成高精度的电磁场。 + - 注:数据在src/dataset.py中处理。 + +# 特性 + +## 混合精度 + +采用[混合精度](https://www.mindspore.cn/docs/programming_guide/zh-CN/master/enable_mixed_precision.html)的训练方法使用支持单精度和半精度数据来提高深度学习神经网络的训练速度,同时保持单精度训练所能达到的网络精度。混合精度训练提高计算速度、减少内存使用的同时,支持在特定硬件上训练更大的模型或实现更大批次的训练。 + +以FP16算子为例,如果输入数据类型为FP32,MindSpore后台会自动降低精度来处理数据。用户可打开INFO日志,搜索“reduce precision”查看精度降低的算子。 + +# 环境要求 + +- 硬件(Ascend) + - 准备Ascend处理器搭建硬件环境。 +- 框架 + - [MindElec](https://www.mindspore.cn/install) +- 如需查看详情,请参见如下资源: + - [MindElec教程](https://www.mindspore.cn/tutorials/zh-CN/master/index.html) + - [MindElec Python API](https://www.mindspore.cn/docs/api/zh-CN/master/index.html) + +# 脚本说明 + +## 脚本及样例代码 + +```path +. +└─Maxwell + ├─README.md + ├─figure # README示意图 + ├─src + ├──dataset.py # 数据集配置 + ├──maxwell.py # 点源麦克斯韦方程定义 + ├──lr_scheduler.py # 学习率下降方式 + ├──callback.py # 回调函数 + ├──sampling_config.py # 随机采样数据集的参数配置文件 + ├──utils.py # 功能函数 + ├──train.py # 训练脚本 + ├──eval.py # 推理和评估脚本 + ├──config.json # 训练参数和评估数据参数 +``` + +## 脚本参数 + +数据集采样控制参数在src/sampling_config.py文件中配置如下: + +```python +src_sampling_config = edict({ # 有源区域的采样配置 + 'domain': edict({ # 内部点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform' # 随机采样方式 + }), + 'IC': edict({ # 初始条件样本采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) + +no_src_sampling_config = edict({ # 无源区域的采样配置 + 'domain': edict({ # 内部点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform' # 随机采样方式 + }), + 'IC': edict({ # 初始条件样本采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) + +bc_sampling_config = edict({ # 边界区域的采样配置 + 'BC': edict({ # 边界点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + 'with_normal': False # 是否需要边界法向向量 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 65536, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) +``` + +模型训练及控制参数在config.json文件中配置如下: + +```python +{ + "Description" : [ "PINNs for solve Maxwell's equations" ], # 案例描述 + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL", # 案例标记 + "random_sampling" : true, # 样本集是否通过随机采样生成,如果为false则加载离线生成的数据集 + "coord_min" : [0, 0], # 矩形计算域x和y轴最小坐标 + "coord_max" : [1, 1], # 矩形计算域x和y轴最大坐标 + "src_pos" : [0.4975, 0.4975], # 点源位置坐标 + "src_frq": 1e+9, # 激励源主频率 + "range_t" : 4e-9, # 模拟时长 + "input_scale": [1.0, 1.0, 2.5e+8], # 网络输入坐标的缩放系数 + "output_scale": [37.67303, 37.67303, 0.1], # 网络输出物理量的缩放系数 + "src_radius": 0.01, # 高斯平滑后的点源范围半径大小 + "input_size" : 3, # 网络输入维度 + "output_size" : 3, # 网络输出维度 + "residual" : true, # 网络结构是否包含残差模块 + "num_scales" : 4, # 多尺度网络的子网数目 + "layers" : 7, # 全连接网络层数(输入、输出加隐藏层) + "neurons" : 64, # 隐层神经元个数 + "amp_factor" : 10, # 网络输入的放大因子 + "scale_factor" : 2, # 多尺度网络的各子网放大系数 + "save_ckpt" : true, # 训练中是否保存checkpoint信息 + "load_ckpt" : false, # 是否加载权重进行增量训练 + "train_with_eval": false # 是否边训练边推理 + "save_ckpt_path" : "./ckpt", # checkpoint保存路径 + "load_ckpt_path" : "", # 加载checkpoint的文件路径 + "train_data_path" : "", # 加载离线训练数据集的路径 + "test_data_path" : "", # 加载离线测试数据集的路径 + "lr" : 0.002, # 初始学习率 + "milestones" : [2000, 4000, 5000], # 学习率衰减的里程碑 + "lr_gamma" : 0.1, # 学习率衰减系数 + "train_epoch" : 6000, # 迭代训练数据集的次数 + "train_batch_size" : 8192, # 网络训练的批数据大小 + "test_batch_size" : 32768, # 网络推理的批数据大小 + "predict_interval" : 150, # 边训练边推理的迭代间隔步数 + "vision_path" : "./vision", # 可视化结果保存路径 + "summary_path" : "./summary" # mindinsight summary结果保存路径 +} +``` + +# 模型描述 + +本案例采用多通道残差网络结合Sin激活函数的网络架构。 + +![network_architecture](./docs/multi-scale-NN.png) + +# 模型训练 + +您可以通过train.py脚本训练参数化电磁仿真模型,训练过程中模型参数会自动保存: + +```python +python train.py +``` + +## 训练性能与精度 + +脚本提供了边训练边评估的功能,网络训练的损失函数、性能数据以及精度评估结果如下: + +```python +epoch: 1 step: 8, loss is 11.496931 +epoch time: 185.432 s, per step time: 23178.955 ms +epoch: 2 step: 8, loss is 9.000967 +epoch time: 0.511 s, per step time: 63.926 ms +epoch: 3 step: 8, loss is 8.101629 +epoch time: 0.490 s, per step time: 61.248 ms +epoch: 4 step: 8, loss is 7.4107575 +epoch time: 0.490 s, per step time: 61.230 ms +epoch: 5 step: 8, loss is 7.0657954 +epoch time: 0.484 s, per step time: 60.477 ms +epoch: 6 step: 8, loss is 6.894913 +epoch time: 0.482 s, per step time: 60.239 ms +epoch: 7 step: 8, loss is 6.6508193 +epoch time: 0.482 s, per step time: 60.297 ms +epoch: 8 step: 8, loss is 6.316092 +epoch time: 0.483 s, per step time: 60.343 ms +epoch: 9 step: 8, loss is 6.264338 +epoch time: 0.484 s, per step time: 60.463 ms +epoch: 10 step: 8, loss is 6.113656 +epoch time: 0.483 s, per step time: 60.392 ms +... +epoch: 5990 step: 8, loss is 0.7306183 +epoch time: 0.485 s, per step time: 60.684 ms +epoch: 5991 step: 8, loss is 0.7217314 +epoch time: 0.484 s, per step time: 60.559 ms +epoch: 5992 step: 8, loss is 0.7106861 +epoch time: 0.483 s, per step time: 60.399 ms +epoch: 5993 step: 8, loss is 0.7238727 +epoch time: 0.484 s, per step time: 60.520 ms +epoch: 5994 step: 8, loss is 0.72685266 +epoch time: 0.486 s, per step time: 60.735 ms +epoch: 5995 step: 8, loss is 0.7518991 +epoch time: 0.485 s, per step time: 60.613 ms +epoch: 5996 step: 8, loss is 0.7451218 +epoch time: 0.482 s, per step time: 60.308 ms +epoch: 5997 step: 8, loss is 0.74497545 +epoch time: 0.483 s, per step time: 60.313 ms +epoch: 5998 step: 8, loss is 0.72911096 +epoch time: 0.483 s, per step time: 60.425 ms +epoch: 5999 step: 8, loss is 0.7317751 +epoch time: 0.485 s, per step time: 60.591 ms +epoch: 6000 step: 8, loss is 0.71511096 +epoch time: 0.485 s, per step time: 60.580 ms +========================================================================================== +l2_error, Ex: 0.03556711707787814 , Ey: 0.03434167989333677 , Hz: 0.022974221345851673 +========================================================================================== +``` + +Mindinsight同样提供了实时可视化精度曲线的功能。在网页打开收集的summary文件,随着训练的进行,Ex/Ey/Hz的误差曲线如下图所示: + +![l2_error_for_Maxwell](./docs/l2_error_for_Maxwell.png) + +# 模型推理 + +您可以通过eval.py脚本加载测试数据集进行推理,并获取推理精度: + +```python +python eval.py +``` + +## 推理性能与精度 + +```python +predict total time: 40.59165406227112 s +l2_error, Ex: 0.03556711707787814 , Ey: 0.03434167989333677 , Hz: 0.022974221345851673 +``` + +瞬时电磁场的分布与FDTD标签数据的对比云图如下所示: + +![Instan_Field_For_Maxwell](./docs/Instan_Field_For_Maxwell.png) + +# 随机情况说明 + +train.py中设置了随机种子,网络输入通过均匀分布随机采样。 + +# MindScience主页 + +请浏览官网[主页](https://gitee.com/mindspore/mindscience)。 diff --git a/MindElec/examples/physics_driven/ time_domain_maxwell/docs/Instan_Field_For_Maxwell.png b/MindElec/examples/physics_driven/ time_domain_maxwell/docs/Instan_Field_For_Maxwell.png new file mode 100644 index 0000000000000000000000000000000000000000..2ffc0acf819f26deca6da252a29efa8cc894797c 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zf?^aD@sE76`R%5DJA$%lnv~Jxao|Z!mi!!|YA}SQy`-dgRZIMSBty_ySjL32 zS#zWPb9?$R{Gp_HeEqio7H<3Or&=EuKMySKpZ5IIZl7O1VDVYY_@4|0Fk-p+>s>_4 zloR5XR`-^{5&KE0lF~d+&=vP1N4{QmoR~6OrK79gr7RGbqn{676j46D^j6|+T$02b z3CstOfq;<*oe9%2oh@N&yMDfVEL34KVzR=kpV_j$LYIm2Nu`pQ4e|?J( z5tGI32EG37U%V!MB(p=ztyfL4~P~X=arQ*8NW)Pm478E0Ti6U@H zrPSY;25hf6Ym)3q#?mSXkAaMEuEpo5u0Fu0_l*y5bJ`6C_%E_ld|`dOIDhATRV0|J z<8DsLCj)!&%ybf6Hx^-{QkL+8n)@!{uv9&O$JkClmCJmgT?UM~{py;tM}+3rB(nkj zB)Yz<^^4$t22X4H`9ROrmBE$q@C5z_C3({{5X#7#7sZNqVBt171Ti)!ty2)te@lZU ztNjx-@g2#s|NeqTj~#bgnH1Gus6?5Hz>w#2#0nFp?+0?{kGNs~4?V$T@|#oZ-=xyp S!{7-z-~%{zF`*cF;{OkTxZjHa literal 0 HcmV?d00001 diff --git a/MindElec/examples/physics_driven/auto_decoder/README.md b/MindElec/examples/physics_driven/auto_decoder/README.md new file mode 100644 index 000000000..c66624a72 --- /dev/null +++ b/MindElec/examples/physics_driven/auto_decoder/README.md @@ -0,0 +1,384 @@ +# Table of Contents + + + +- [Table of Contents](#table-of-contents) + - [Maxwell's Equations](#maxwells-equations) + - [Solving Point Source Maxwell's Equations with AI](#solving-point-source-maxwells-equations-with-ai) + - [Datasets](#datasets) + - [Features](#features) + - [Mixed Precision](#mixed-precision) + - [Environmental Requirements](#environmental-requirements) + - [Script Description](#script-description) + - [Script and Sample Code](#script-and-sample-code) + - [Script Parameters](#script-parameters) + - [Model Description](#model-description) + - [Model Pre-training](#model-pre-training) + - [Pre-training Performance and Accuracy](#pre-training-performance-and-accuracy) + - [Solving New PDE with Fine-tuning](#solving-new-pde-with-fine-tuning) + - [Fine-tuning Performance and Accuracy](#fine-tuning-performance-and-accuracy) + - [Random Seed Setting](#random-seed-setting) + - [MindScience Home Page](#mindscience-home-page) + + + +## Maxwell's Equations + +Maxwell's equations are a set of partial differential equations that describe how electric and magnetic fields are generated by charges and currents of the fields. The governing equations with excitation sources are described as follows: + +$$ +\nabla\times E=-\mu \dfrac{\partial H}{\partial t}, +$$ +$$ +\nabla\times H=\epsilon \dfrac{\partial E}{\partial t} + J(x, t) +$$ + +The constants $\mu$ and $\epsilon$ are known as the permeability and permittivity of the free space, respectively. +$J(x, t)$ represents a known excitation source function. Common excitation sources include point source, line source, and area source. In this tutorial, point source is considered, of which mathematical description can be expressed as follows: + +$$ +J(x, t)=\delta(x - x_0)g(t) +$$ + +## Solving Point Source Maxwell's Equations with AI + +In the PINNs method, the neural network directly learns the mapping relationship between the solution function of the equation system and the independent variables of the equation. When the parameters of the equations change, the new equations need to be retrained. Therefore, the PINNs method does not have the generalization ability to solve the parametric PDEs. + +In this model, we propose the Physics-Informed Auto-Decoder to overcome the drawbacks of the PINNs method. The method comprises two steps: pre-training and fine-tuning. The overall network architecture for AI solution to point source Maxwell equations is as follows: + +![PINNs_for_Maxwell](./docs/pid_maxwell.png) + +In the preceding information, $\lambda$ is a parameter of the equation. Generally, the distribution of the variable parameter $\lambda$ forms a high-dimensional space. To reduce the model complexity and training costs, we first map the high-dimensional variable parameter space onto a low-dimensional manifold represented by a low-dimensional latent vector $Z$. Then, the characteristic parameter $Z$ of the manifold and the input $X$ of the equation are fused into the training of PINNs together with the input of the point source problem solving network, and thus the pre-training model can be obtained. For the newly given PDE, the solution of the new equation can be obtained by fine-tuning the pre-trained model. +According to our experience, in the fine-tuning phase, incremental training is performed on the network model and the randomly initialized implicit vector at the same time. Alternatively, only incremental training is performed on the implicit vectors by freezing the parameters of the network model. Compared with the PINNs method, the proposed method improves the efficiency of solving new problems by one order of magnitude. + +Taking two-dimensional point source Maxwell equations as an example, the number of pre-trained equations is 9 $[\mu/\mu_0, \epsilon/\epsilon_0] = [1,3,5] \times [1,3,5]$. +9 latent vector $Z$ concatenate with the independent variable $\Omega=(x, y, t)\in [0,1]^3$ as network input. +The output is the solution of the equation $u=(E_x, E_y, H_z)$. +Based on the output of the network and the automatic differentiation function of MindSpore framework, the training loss function comes from four parts: control equation (PDE loss), initial condition (IC loss), boundary condition (BC loss), and regular term (reg loss) for latent vector. +The initial electromagnetic field is set to be zeros, and the strandard Mur's second-order absorbing boundary condition is utilized on the boundaries. +Due to the existence of the excitation source, we divide the PDE loss into two parts: the region near the excitation source $\Omega_0$ and the region without the excitation source $\Omega_1$. +Ultimately, our overall loss function can be expressed as follows: +$$L_{total} = \lambda_{src}L_{src} + \lambda_{src_ic}L_{src_ic} + \lambda_{no_src}L_{no_src} + \lambda_{no_src_ic}L_{no_src_ic} + \lambda_{bc}L_{bc} + \lambda_{reg}\left \| Z \right \| ^2 $$ +In the preceding information, $\lambda$s indicates the weight of each loss function. In order to reduce the difficulty of weight selection, we adopt the adaptive weighting algorithm. + +## Datasets + +- Pre-training data and fine-tuning data: Based on five loss functions, we randomly pick points for the source region, no source region, boundary, and initial condition, respectively, as the input of the network. +- Evaluation data: We generate high-precision electromagnetic fields based on traditional finite-difference time-domain algorithms. + - Note: Data is processed in src/dataset.py. + +## Features + +### Mixed Precision + +The [mixed precision](https://www.mindspore.cn/docs/programming_guide/en/master/enable_mixed_precision.html) training strategy uses single-precision and semi-precision data to improve the training speed of deep learning neural networks, while maintaining the network precision that can be achieved by single-precision training. Mixed precision training improves computing speed and reduces memory usage while enabling larger models or larger batches of training on specific hardware. +Take the FP16 operator as an example. If the input data type is FP32, the MindSpore background automatically reduces the precision to process data. You can open the INFO log and search for "reduce precision" to view operators whose precision decreases. + +## Environmental Requirements + +- Hardware (Ascend) + - Prepare the Ascend AI Processor to set up the hardware environment. +- Framework + - [MindElec](https://www.mindspore.cn/install/en) +- For more information, refer to the following resources + - [MindElec Tutorial](https://www.mindspore.cn/tutorials/en/master/index.html) + - [MindElec Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +## Script Description + +### Script and Sample Code + +```path +. +└─Maxwell + ├─README.md + ├─figure # README diagram + ├─src + ├──dataset.py # dataset + ├──maxwell.py # definition of point source Maxwell's equations + ├──lr_scheduler.py # lr scheduler + ├──callback.py # callback function + ├──sampling_config.py # sampling configuration + ├──utils.py # utility function + ├─config + ├──pretrain.json # pre-training configuration + ├──reconstruct.json # fine-tuning configuration + ├──piad.py # run PIAD +``` + +### Script Parameters + +The dataset sampling control parameters are set in the src/sampling_config.py file as follows: + +```python +src_sampling_config = edict({ # src sampling configuration + 'domain': edict({ # src domain + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform' # random sampling method + }), + 'IC': edict({ # initial condition samlping configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + }), + 'time': edict({ # time sampling configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + }), +}) + +no_src_sampling_config = edict({ # no src sampling configuration + 'domain': edict({ # no src domain + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform' # random sampling method + }), + 'IC': edict({ # initial condition samlping configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + }), + 'time': edict({ # time sampling configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + }), +}) + +bc_sampling_config = edict({ # boundary condition samlping configuration + 'BC': edict({ # boundary condition spatial samlping configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + 'with_normal': False # return normal direction or not + }), + 'time': edict({ # time sampling configuration + 'random_sampling': True, # random or not + 'size': 262144, # total number of points in one epoch + 'sampler': 'uniform', # random sampling method + }), +}) +``` + +The pre-model training and control parameters are configured in the congig/pretrain.json file as follows: + +```python +{ + "Description" : ["PINNs for solve Maxwell's equations"], # Case description + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL_Physical-Informed Auto Decoder", # Case name + "coord_min" : [0, 0], # Minimum coordinates of the x and y axes of the rectangular computing domain + "coord_max" : [1, 1], # Maximum coordinates of the x and y axes of the rectangular computing domain + "src_pos" : [0.4975, 0.4975], # Point source location coordinates + "SrcFrq": 1e+9, # Excitation source main frequency + "range_t" : 4e-9, # Simulation Duration + "input_center": [0.5, 0.5, 2.0e-9], # Network input coordinate translation distance + "input_scale": [2.0, 2.0, 5.0e+8], # Scaling coefficient of network input coordinates + "output_scale": [37.67303, 37.67303, 0.1], # Scaling coefficient of network output physical quantity + "src_radius": 0.01, # Radius of the point source range after Gaussian smoothing + "input_size" : 3, # Network input dimension + "output_size" : 3, # Network output dimension + "residual" : true, # Including ResBlock or not + "num_scales" : 4, # Number of subnets in a multi-channel network + "layers" : 7, # Number of fully-connected network layers (input, output, and hidden layers) + "neurons" : 64, # Number of neurons + "amp_factor" : 2, # Amplification factor of network input + "scale_factor" : 2, # Subnet Amplification Coefficients + "save_ckpt" : true, # save ckpt or not + "load_ckpt" : false, # load ckpt or not + "save_ckpt_path" : "./ckpt", # save ckpt path + "load_ckpt_path" : "", # load ckpt path + "train_with_eval": true, # train with eval + "test_data_path" : "./benchmark/", # benchmark path + "lr" : 0.001, # lr + "milestones" : [2000], # lr milestones + "lr_gamma" : 0.25, # lr decay rate + "train_epoch" : 3000, # number of iterations + "train_batch_size" : 1024, # train batch size + "test_batch_size" : 8192, # test batch size + "predict_interval" : 500, # prediction interval during training + "vision_path" : "./vision", # result visualization path + "summary_path" : "./summary", # mindinsight summary path + + "EPS_candidates": [1, 3, 5], # eps candidates + "MU_candidates": [1, 3, 5], # mu candidates + "num_scenarios": 9, # number of pretrained scenarios + "latent_vector_size": 16, # latent vector size + "latent_reg": 1.0, # latent vector regularization + "latent_init_std": 1.0 # std of init latent vector +} +``` + +The incremental training fine-tuning and control parameters are configured in the congig/pretrain.json file as follows: + +```python +{ + "Description" : ["PINNs for solve Maxwell's equations"], # Case description + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL_Physical-Informed Auto Decoder", # Case name + "coord_min" : [0, 0], # Minimum coordinates of the x and y axes of the rectangular computing domain + "coord_max" : [1, 1], # Maximum coordinates of the x and y axes of the rectangular computing domain + "src_pos" : [0.4975, 0.4975], # Point source location coordinates + "SrcFrq": 1e+9, # Excitation source main frequency + "range_t" : 4e-9, # Simulation Duration + "input_center": [0.5, 0.5, 2.0e-9], # Network input coordinate translation distance + "input_scale": [2.0, 2.0, 5.0e+8], # Scaling coefficient of network input coordinates + "output_scale": [37.67303, 37.67303, 0.1], # Scaling coefficient of network output physical quantity + "src_radius": 0.01, # Radius of the point source range after Gaussian smoothing + "input_size" : 3, # Network input dimension + "output_size" : 3, # Network output dimension + "residual" : true, # Including ResBlock or not + "num_scales" : 4, # Number of subnets in a multi-channel network + "layers" : 7, # Number of fully-connected network layers (input, output, and hidden layers) + "neurons" : 64, # Number of neurons + "amp_factor" : 2, # Amplification factor of network input + "scale_factor" : 2, # Subnet Amplification Coefficients + "save_ckpt" : true, # save ckpt or not + "save_ckpt_path" : "./ckpt", # save ckpt path + "load_ckpt_path" : "", # load ckpt path + "train_with_eval": true, # train with eval + "test_data_path" : "./benchmark/", # benchmark path + "lr" : 0.001, # lr + "milestones" : [100], # lr milestones + "lr_gamma" : 0.1, # lr decay rate + "train_epoch" : 120, # train epochs + "train_batch_size" : 8192, # train batch size + "test_batch_size" : 8192, # test batch size + "predict_interval" : 10, # prediction intervals during training + "vision_path" : "./vision", # result visualization path + "summary_path" : "./summary", # mindinsight summary path + + "EPS_candidates": [2], # eps + "MU_candidates": [2], # mu + "num_scenarios": 1, # fine-tuning case + "latent_vector_size": 16, # latent vector size + "latent_reg": 1.0, # latent regulzarization + "latent_init_std": 1.0 # std of latent init + "finetune_model": true # fine-tune model with latent vector + "enable_mtl" : true, # use uncertainty weighting algorithm or not +} +``` + +## Model Description + +In this tutorial, the network architecture of multi-channel residual network combined with Sin activation function is used. + +![network_architecture](./docs/multi-scale-NN.png) + +## Model Pre-training + +You can use the piad.py script to train a parametric electromagnetic simulation model. During the training, the model parameters are automatically saved. + +```python +python piad.py --mode=pretrain +``` + +## Pre-training Performance and Accuracy + +The script provides the function of evaluation while training. The loss function, performance data, and precision evaluation result of network training are as follows: + +```python +epoch: 1 step: 28, loss is 4.332097 +epoch time: 198849.624 ms, per step time: 7101.772 ms +epoch: 2 step: 28, loss is 4.150775 +epoch time: 2697.448 ms, per step time: 96.337 ms +epoch: 3 step: 28, loss is 4.062408 +epoch time: 2697.567 ms, per step time: 96.342 ms +epoch: 4 step: 28, loss is 3.942519 +epoch time: 2695.202 ms, per step time: 96.257 ms +epoch: 5 step: 28, loss is 3.7573988 +epoch time: 2684.708 ms, per step time: 95.882 ms +epoch: 6 step: 28, loss is 3.6898723 +epoch time: 2688.102 ms, per step time: 96.004 ms +epoch: 7 step: 28, loss is 3.5447907 +epoch time: 2685.811 ms, per step time: 95.922 ms +epoch: 8 step: 28, loss is 3.462135 +epoch time: 2686.360 ms, per step time: 95.941 ms +epoch: 9 step: 28, loss is 3.33505 +epoch time: 2678.746 ms, per step time: 95.669 ms +epoch: 10 step: 28, loss is 3.227073 +epoch time: 2684.541 ms, per step time: 95.876 ms +...... +epoch time: 2681.309 ms, per step time: 95.761 ms +epoch: 2991 step: 28, loss is 0.062745415 +epoch time: 2680.290 ms, per step time: 95.725 ms +epoch: 2992 step: 28, loss is 0.0728458 +epoch time: 2677.612 ms, per step time: 95.629 ms +epoch: 2993 step: 28, loss is 0.103519976 +epoch time: 2680.193 ms, per step time: 95.721 ms +epoch: 2994 step: 28, loss is 0.086214304 +epoch time: 2680.334 ms, per step time: 95.726 ms +epoch: 2995 step: 28, loss is 0.064058885 +epoch time: 2681.828 ms, per step time: 95.780 ms +epoch: 2996 step: 28, loss is 0.06439945 +epoch time: 2687.958 ms, per step time: 95.998 ms +epoch: 2997 step: 28, loss is 0.06600211 +epoch time: 2684.817 ms, per step time: 95.886 ms +epoch: 2998 step: 28, loss is 0.08579312 +epoch time: 2676.644 ms, per step time: 95.594 ms +epoch: 2999 step: 28, loss is 0.07677732 +epoch time: 2677.484 ms, per step time: 95.624 ms +epoch: 3000 step: 28, loss is 0.061393328 +epoch time: 2691.284 ms, per step time: 96.117 ms +========================================================================================== +l2_error, Ex: 0.06892983792636541 , Ey: 0.06803824510149464 , Hz: 0.07061244131423149 +========================================================================================== +``` + +## Solving New PDE with Fine-tuning + +Given a new set of equation parameters, you can use the piad.py script to load the pre-trained model and fine-tune the test dataset to quickly obtain a solution to the new problem. + +```python +python piad.py --mode=reconstruct +``` + +## Fine-tuning Performance and Accuracy + +```python +epoch: 1 step: 32, loss is 3.4485734 +epoch time: 207.005 s, per step time: 6468.899 ms +epoch: 2 step: 32, loss is 3.2356246 +epoch time: 2.859 s, per step time: 89.334 ms +epoch: 3 step: 32, loss is 3.0757806 +epoch time: 2.873 s, per step time: 89.787 ms +epoch: 4 step: 32, loss is 2.9055781 +epoch time: 2.864 s, per step time: 89.515 ms +epoch: 5 step: 32, loss is 2.7547212 +epoch time: 2.865 s, per step time: 89.530 ms +epoch: 6 step: 32, loss is 2.5957384 +epoch time: 2.849 s, per step time: 89.040 ms +epoch: 7 step: 32, loss is 2.4329371 +epoch time: 2.848 s, per step time: 88.992 ms +epoch: 8 step: 32, loss is 2.3149633 +epoch time: 2.845 s, per step time: 88.894 ms +epoch: 9 step: 32, loss is 2.153984 +epoch time: 2.855 s, per step time: 89.222 ms +epoch: 10 step: 32, loss is 2.0002615 +epoch time: 2.855 s, per step time: 89.224 ms +...... +epoch: 120 step: 32, loss is 0.03491814 +epoch time: 2.847 s, per step time: 88.966 ms +epoch: 121 step: 32, loss is 0.034486588 +epoch time: 2.856 s, per step time: 89.254 ms +epoch: 122 step: 32, loss is 0.033784416 +epoch time: 2.849 s, per step time: 89.044 ms +epoch: 123 step: 32, loss is 0.03252008 +epoch time: 2.869 s, per step time: 89.657 ms +epoch: 124 step: 32, loss is 0.031876195 +epoch time: 2.860 s, per step time: 89.364 ms +epoch: 125 step: 32, loss is 0.03133876 +epoch time: 2.852 s, per step time: 89.128 ms +================================================================================================== +Prediction total time: 53.52936124801636 s +l2_error, Ex: 0.06008509896061373 , Ey: 0.06597097288551895 , Hz: 0.059188475323901625 +================================================================================================== +``` + +## Random Seed Setting + +The random seed is set in piad.py, and the network input is randomly sampled through uniform distribution. + +## MindScience Home Page + +Visit the official website [home page](https://gitee.com/mindspore/mindscience). diff --git a/MindElec/examples/physics_driven/auto_decoder/README_CN.md b/MindElec/examples/physics_driven/auto_decoder/README_CN.md new file mode 100644 index 000000000..27430d4af --- /dev/null +++ b/MindElec/examples/physics_driven/auto_decoder/README_CN.md @@ -0,0 +1,371 @@ +# 目录 + +- [目录](#目录) + - [麦克斯韦方程组](#麦克斯韦方程组) + - [AI求解点源麦克斯韦方程族](#ai求解点源麦克斯韦方程族) + - [数据集](#数据集) + - [特性](#特性) + - [混合精度](#混合精度) + - [环境要求](#环境要求) + - [脚本说明](#脚本说明) + - [脚本及样例代码](#脚本及样例代码) + - [脚本参数](#脚本参数) + - [模型描述](#模型描述) + - [模型预训练](#模型预训练) + - [预训练性能与精度](#预训练性能与精度) + - [增量训练求解新方程](#增量训练求解新方程) + - [增量训练性能与精度](#增量训练性能与精度) + - [随机情况说明](#随机情况说明) + - [MindScience主页](#mindscience主页) + +## 麦克斯韦方程组 + +麦克斯韦方程组一组描述电场、磁场与电荷密度、电流密度之间关系的偏微分方程,有激励源的控制方程具体描述如下: + +$$ +\nabla\times E=-\mu \dfrac{\partial H}{\partial t}, +$$ +$$ +\nabla\times H=\epsilon \dfrac{\partial E}{\partial t} + J(x, t) +$$ + +其中$\epsilon,\mu$分别是介质的绝对介电常数、绝对磁导率。$J(x, t)$是电磁仿真过程中的激励源,常用的加源方式包括点源,线源和面源,本案例主要考虑点源的形式,数学上表示为: +$$ +J(x, t)=\delta(x - x_0)g(t) +$$ + +## AI求解点源麦克斯韦方程族 + +在PINNs方法中,神经网络直接学习方程组的解函数与方程自变量之间的映射关系。当方程组中的特征参数发生变化时,需要重新进行网络训练来得到新方程的解,因此PINNs方法不具备求解同一类方程组的泛化能力。 + +在该模型中,我们提出了基于物理信息的自解码增量训练方法来克服PINNs不具备泛化能力的问题。该方法包含预训练和增量训练两个步骤,AI求解点源麦克斯韦方程族的整体网络架构如下: + +![PINNs_for_Maxwell](./docs/pid_maxwell.png) + +其中,$\lambda$为待求方程的可变参数,通常情况下可变参数$\lambda$的分布构成高维空间。为了降低模型复杂度以及训练成本,我们首先将高维可变参数空间映射到由低维向量$Z$表征的低维流形上。然后将流形的特征参数$Z$与方程的输入$X$融合作为点源问题求解网络的输入一起参与到PINNs的训练中,由此可以得到预训练模型。针对新给定的可变参数问题,对预训练模型进行微调即可以得到新方程的解。根据我们的经验,在微调阶段,对网络模型和随机初始化的隐向量同时进行增量训练,或者冻结网络模型参数仅对隐向量进行增量训练可以快速收敛到新方程的解。相比于PINNs方法,该方法针对新问题的求解效率可以提升一个量级。 + +以二维点源麦克斯韦方程组为例,预训练方程的个数为$9$(即$[\mu/\mu_0, \epsilon/\epsilon_0] = [1,3,5] \times [1,3,5]$)个,$9$个$16$维的隐向量$Z$与自变量$\Omega=(x, y, t)\in [0,1]^3$向拼接作为网络输入, 输出为方程的解$u=(E_x, E_y, H_z)$。基于网络的输出和MindSpore框架的自动微分功能,训练损失函数来自于控制方程(PDE loss),初始条件(IC loss),边界条件(BC loss)以及针对隐向量的正则项(reg loss)四部分。这里我们采用电磁场为0的初始值,边界采用二阶Mur吸收边界条件。由于激励源的存在,我们将PDE loss的计算分为两部分:激励源附近区域$\Omega_0$与非激励源区域$\Omega_1$。最终我们整体的损失函数可以表示为: +$$L_{total} = \lambda_{src}L_{src} + \lambda_{src_ic}L_{src_ic} + \lambda_{no_src}L_{no_src} + \lambda_{no_src_ic}L_{no_src_ic} + \lambda_{bc}L_{bc} + \lambda_{reg}\left \| Z \right \| ^2 $$ +其中$\lambda$s表示各项损失函数的权重。为了降低权重选择的难度,我们采用了自适应加权的算法,具体参见我们的论文。 + +## 数据集 + +- 预训练数据与增量训练数据:基于五个损失函数,我们分别对有源区域,无源区域,边界,初始时刻进行随机采点,作为网络的输入。 +- 评估数据:我们基于传统的时域有限差分算法生成高精度的电磁场。 + - 注:数据在src/dataset.py中处理。 + +## 特性 + +### 混合精度 + +采用[混合精度](https://www.mindspore.cn/docs/programming_guide/zh-CN/master/enable_mixed_precision.html)的训练方法使用支持单精度和半精度数据来提高深度学习神经网络的训练速度,同时保持单精度训练所能达到的网络精度。混合精度训练提高计算速度、减少内存使用的同时,支持在特定硬件上训练更大的模型或实现更大批次的训练。 + +以FP16算子为例,如果输入数据类型为FP32,MindSpore后台会自动降低精度来处理数据。用户可打开INFO日志,搜索“reduce precision”查看精度降低的算子。 + +## 环境要求 + +- 硬件(Ascend) + - 准备Ascend处理器搭建硬件环境。 +- 框架 + - [MindElec](https://www.mindspore.cn/install) +- 如需查看详情,请参见如下资源: + - [MindElec教程](https://www.mindspore.cn/tutorials/zh-CN/master/index.html) + - [MindElec Python API](https://www.mindspore.cn/docs/api/zh-CN/master/index.html) + +## 脚本说明 + +### 脚本及样例代码 + +```path +. +└─Maxwell + ├─README.md + ├─figure # README示意图 + ├─src + ├──dataset.py # 数据集配置 + ├──maxwell.py # 点源麦克斯韦方程定义 + ├──lr_scheduler.py # 学习率下降方式 + ├──callback.py # 回调函数 + ├──sampling_config.py # 随机采样数据集的参数配置文件 + ├──utils.py # 功能函数 + ├─config + ├──pretrain.json # 预训练参数配置 + ├──reconstruct.json # 增量训练参数配置 + ├──piad.py # 预训练和增量训练脚本 +``` + +### 脚本参数 + +数据集采样控制参数在src/sampling_config.py文件中配置如下: + +```python +src_sampling_config = edict({ # 有源区域的采样配置 + 'domain': edict({ # 内部点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform' # 随机采样方式 + }), + 'IC': edict({ # 初始条件样本采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) + +no_src_sampling_config = edict({ # 无源区域的采样配置 + 'domain': edict({ # 内部点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform' # 随机采样方式 + }), + 'IC': edict({ # 初始条件样本采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) + +bc_sampling_config = edict({ # 边界区域的采样配置 + 'BC': edict({ # 边界点空间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + 'with_normal': False # 是否需要边界法向向量 + }), + 'time': edict({ # 时间采样配置 + 'random_sampling': True, # 是否随机采样 + 'size': 262144, # 采样样本数目 + 'sampler': 'uniform', # 随机采样方式 + }), +}) +``` + +预模型训练及控制参数在congig/pretrain.json文件中配置如下: + +```python +{ + "Description" : ["PINNs for solve Maxwell's equations"], # 案例描述 + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL_Physical-Informed Auto Decoder", # 案例标记 + "coord_min" : [0, 0], # 矩形计算域x和y轴最小坐标 + "coord_max" : [1, 1], # 矩形计算域x和y轴最大坐标 + "src_pos" : [0.4975, 0.4975], # 点源位置坐标 + "SrcFrq": 1e+9, # 激励源主频率 + "range_t" : 4e-9, # 模拟时长 + "input_center": [0.5, 0.5, 2.0e-9], # 网络输入坐标平移距离 + "input_scale": [2.0, 2.0, 5.0e+8], # 网络输入坐标的缩放系数 + "output_scale": [37.67303, 37.67303, 0.1], # 网络输出物理量的缩放系数 + "src_radius": 0.01, # 高斯平滑后的点源范围半径大小 + "input_size" : 3, # 网络输入维度 + "output_size" : 3, # 网络输出维度 + "residual" : true, # 网络结构是否包含残差模块 + "num_scales" : 4, # 多尺度网络的子网数目 + "layers" : 7, # 全连接网络层数(输入、输出加隐藏层) + "neurons" : 64, # 隐层神经元个数 + "amp_factor" : 2, # 网络输入的放大因子 + "scale_factor" : 2, # 多尺度网络的各子网放大系数 + "save_ckpt" : true, # 训练中是否保存checkpoint信息 + "load_ckpt" : false, # 是否加载权重进行增量训练 + "save_ckpt_path" : "./ckpt", # 权重保存路径 + "load_ckpt_path" : "", # 权重加载路径 + "train_with_eval": true, # 是否边训练边验证 + "test_data_path" : "./benchmark/", # 加载离线测试数据集的路径 + "lr" : 0.001, # 初始学习率 + "milestones" : [2000], # 学习率衰减的里程碑 + "lr_gamma" : 0.25, # 学习率衰减系数 + "train_epoch" : 3000, # 迭代训练数据集的次数 + "train_batch_size" : 1024, # 网络训练的批数据大小 + "test_batch_size" : 8192, # 网络推理的批数据大小 + "predict_interval" : 500, # 边训练边推理的迭代间隔步数 + "vision_path" : "./vision", # 可视化结果保存路径 + "summary_path" : "./summary", # mindinsight summary结果保存路径 + + "EPS_candidates": [1, 3, 5], # 麦克斯韦方程族电导率取值列表 + "MU_candidates": [1, 3, 5], # 麦克斯韦方程族磁导率取值列表 + "num_scenarios": 9, # 预训练方程个数 + "latent_vector_size": 16, # 隐向量维度 + "latent_reg": 1.0, # 隐向量损失函数正则化系数 + "latent_init_std": 1.0 # 随机初始化隐向量方差 +} +``` + +增量训练微调及控制参数在congig/pretrain.json文件中配置如下: + +```python +{ + "Description" : ["PINNs for solve Maxwell's equations"], # 案例描述 + "Case" : "2D_Mur_Src_Gauss_Mscale_MTL_Physical-Informed Auto Decoder", # 案例标记 + "coord_min" : [0, 0], # 矩形计算域x和y轴最小坐标 + "coord_max" : [1, 1], # 矩形计算域x和y轴最大坐标 + "src_pos" : [0.4975, 0.4975], # 点源位置坐标 + "SrcFrq": 1e+9, # 激励源主频率 + "range_t" : 4e-9, # 模拟时长 + "input_center": [0.5, 0.5, 2.0e-9], # 网络输入坐标平移距离 + "input_scale": [2.0, 2.0, 5.0e+8], # 网络输入坐标的缩放系数 + "output_scale": [37.67303, 37.67303, 0.1], # 网络输出物理量的缩放系数 + "src_radius": 0.01, # 高斯平滑后的点源范围半径大小 + "input_size" : 3, # 网络输入维度 + "output_size" : 3, # 网络输出维度 + "residual" : true, # 网络结构是否包含残差模块 + "num_scales" : 4, # 多尺度网络的子网数目 + "layers" : 7, # 全连接网络层数(输入、输出加隐藏层) + "neurons" : 64, # 隐层神经元个数 + "amp_factor" : 2, # 网络输入的放大因子 + "scale_factor" : 2, # 多尺度网络的各子网放大系数 + "save_ckpt" : true, # 训练中是否保存checkpoint信息 + "save_ckpt_path" : "./ckpt", # 权重保存路径 + "load_ckpt_path" : "", # 权重加载路径 + "train_with_eval": true, # 是否边训练边验证 + "test_data_path" : "./benchmark/", # 加载离线测试数据集的路径 + "lr" : 0.001, # 初始学习率 + "milestones" : [100], # 学习率衰减的里程碑 + "lr_gamma" : 0.1, # 学习率衰减系数 + "train_epoch" : 120, # 迭代训练数据集的次数 + "train_batch_size" : 8192, # 网络训练的批数据大小 + "test_batch_size" : 8192, # 网络推理的批数据大小 + "predict_interval" : 10, # 边训练边推理的迭代间隔步数 + "vision_path" : "./vision", # 可视化结果保存路径 + "summary_path" : "./summary", # mindinsight summary结果保存路径 + + "EPS_candidates": [2], # 麦克斯韦方程族电导率取值列表 + "MU_candidates": [2], # 麦克斯韦方程族磁导率取值列表 + "num_scenarios": 2, # 预训练方程个数 + "latent_vector_size": 16, # 隐向量维度 + "latent_reg": 1.0, # 隐向量损失函数正则化系数 + "latent_init_std": 1.0 # 随机初始化隐向量方差 + "finetune_model": true # 增量训练是否更新模型权重 + "enable_mtl" : true, # 增量训练是否采用自适用加权 +} +``` + +## 模型描述 + +本案例采用多通道残差网络结合Sin激活函数的网络架构。 + +![network_architecture](./docs/multi-scale-NN.png) +## 模型预训练 + +您可以通过piad.py脚本训练参数化电磁仿真模型,训练过程中模型参数会自动保存: + +```python +python piad.py --mode=pretrain +``` + +## 预训练性能与精度 + +脚本提供了边训练边评估的功能,网络训练的损失函数、性能数据以及精度评估结果如下: + +```python +epoch: 1 step: 28, loss is 4.332097 +epoch time: 198849.624 ms, per step time: 7101.772 ms +epoch: 2 step: 28, loss is 4.150775 +epoch time: 2697.448 ms, per step time: 96.337 ms +epoch: 3 step: 28, loss is 4.062408 +epoch time: 2697.567 ms, per step time: 96.342 ms +epoch: 4 step: 28, loss is 3.942519 +epoch time: 2695.202 ms, per step time: 96.257 ms +epoch: 5 step: 28, loss is 3.7573988 +epoch time: 2684.708 ms, per step time: 95.882 ms +epoch: 6 step: 28, loss is 3.6898723 +epoch time: 2688.102 ms, per step time: 96.004 ms +epoch: 7 step: 28, loss is 3.5447907 +epoch time: 2685.811 ms, per step time: 95.922 ms +epoch: 8 step: 28, loss is 3.462135 +epoch time: 2686.360 ms, per step time: 95.941 ms +epoch: 9 step: 28, loss is 3.33505 +epoch time: 2678.746 ms, per step time: 95.669 ms +epoch: 10 step: 28, loss is 3.227073 +epoch time: 2684.541 ms, per step time: 95.876 ms +...... +epoch time: 2681.309 ms, per step time: 95.761 ms +epoch: 2991 step: 28, loss is 0.062745415 +epoch time: 2680.290 ms, per step time: 95.725 ms +epoch: 2992 step: 28, loss is 0.0728458 +epoch time: 2677.612 ms, per step time: 95.629 ms +epoch: 2993 step: 28, loss is 0.103519976 +epoch time: 2680.193 ms, per step time: 95.721 ms +epoch: 2994 step: 28, loss is 0.086214304 +epoch time: 2680.334 ms, per step time: 95.726 ms +epoch: 2995 step: 28, loss is 0.064058885 +epoch time: 2681.828 ms, per step time: 95.780 ms +epoch: 2996 step: 28, loss is 0.06439945 +epoch time: 2687.958 ms, per step time: 95.998 ms +epoch: 2997 step: 28, loss is 0.06600211 +epoch time: 2684.817 ms, per step time: 95.886 ms +epoch: 2998 step: 28, loss is 0.08579312 +epoch time: 2676.644 ms, per step time: 95.594 ms +epoch: 2999 step: 28, loss is 0.07677732 +epoch time: 2677.484 ms, per step time: 95.624 ms +epoch: 3000 step: 28, loss is 0.061393328 +epoch time: 2691.284 ms, per step time: 96.117 ms +========================================================================================== +l2_error, Ex: 0.06892983792636541 , Ey: 0.06803824510149464 , Hz: 0.07061244131423149 +========================================================================================== +``` + +## 增量训练求解新方程 + +给定一组新的方程参数,您可以通过piad.py脚本加载预训练模型与测试数据集增量训练,从而快速得到新问题的解: + +```python +python piad.py --mode=reconstruct +``` + +## 增量训练性能与精度 + +```python +epoch: 1 step: 32, loss is 3.4485734 +epoch time: 207.005 s, per step time: 6468.899 ms +epoch: 2 step: 32, loss is 3.2356246 +epoch time: 2.859 s, per step time: 89.334 ms +epoch: 3 step: 32, loss is 3.0757806 +epoch time: 2.873 s, per step time: 89.787 ms +epoch: 4 step: 32, loss is 2.9055781 +epoch time: 2.864 s, per step time: 89.515 ms +epoch: 5 step: 32, loss is 2.7547212 +epoch time: 2.865 s, per step time: 89.530 ms +epoch: 6 step: 32, loss is 2.5957384 +epoch time: 2.849 s, per step time: 89.040 ms +epoch: 7 step: 32, loss is 2.4329371 +epoch time: 2.848 s, per step time: 88.992 ms +epoch: 8 step: 32, loss is 2.3149633 +epoch time: 2.845 s, per step time: 88.894 ms +epoch: 9 step: 32, loss is 2.153984 +epoch time: 2.855 s, per step time: 89.222 ms +epoch: 10 step: 32, loss is 2.0002615 +epoch time: 2.855 s, per step time: 89.224 ms +...... +epoch: 120 step: 32, loss is 0.03491814 +epoch time: 2.847 s, per step time: 88.966 ms +epoch: 121 step: 32, loss is 0.034486588 +epoch time: 2.856 s, per step time: 89.254 ms +epoch: 122 step: 32, loss is 0.033784416 +epoch time: 2.849 s, per step time: 89.044 ms +epoch: 123 step: 32, loss is 0.03252008 +epoch time: 2.869 s, per step time: 89.657 ms +epoch: 124 step: 32, loss is 0.031876195 +epoch time: 2.860 s, per step time: 89.364 ms +epoch: 125 step: 32, loss is 0.03133876 +epoch time: 2.852 s, per step time: 89.128 ms +================================================================================================== +Prediction total time: 53.52936124801636 s +l2_error, Ex: 0.06008509896061373 , Ey: 0.06597097288551895 , Hz: 0.059188475323901625 +================================================================================================== +``` + +## 随机情况说明 + +train.py中设置了随机种子,网络输入通过均匀分布随机采样。 + +## MindScience主页 + +请浏览官网[主页](https://gitee.com/mindspore/mindscience)。 diff --git a/MindElec/examples/physics_driven/auto_decoder/docs/multi-scale-NN.png b/MindElec/examples/physics_driven/auto_decoder/docs/multi-scale-NN.png new file mode 100644 index 0000000000000000000000000000000000000000..43fcb85019138e0915ebe96f50208e58585dcac3 GIT binary patch literal 47975 zcmdR#RZv_{+@=Wu0s(@1aCf)h1lQof-Q67$f;+?D794^Fch|us!QBZyxbNZr?cVRz zR_z7FnJMbf-KYB}@B5sHFG|v=?+M?-z`&r&%1Effz`&Bjz`Xf^hyZ-^#Mt!${CeZ6 zDlHCEIsWkg_yA`qrYHsjQyqu=Xbca0MskwTc7=iY(EIxHX3(+33)kgjNxZ?eD*+$8Qq{t6F62n~{-AjkmEZXR;U;fdP4JE)+sVSiOTtkx;3ePSz*|pC z`kZFHtqgb|@*oeUO3}MtdD!rQSkx|LWqDuZ@H$#xLYXC0uq9Qnse7mv195;0NfnC7 zNc8_M@`C<L(9%6 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ze?C3^fBZjna}byCeT880yF$n*&Td64?NyRYPSv{V=t1IJD`|u&eXdKt1O5fsq+%-x z)^V`oWHQ{}wExZTf}rw5;e37?MjN|~W3*T^ z(MfZBHFo0@D7bFw8*h|Ee?N#8QI8Ye-8Ga#!^35I*p{&=(C&};`#9vS02Mc5u>pjS z+FQoXyFShC?fCtEcTEyG*tfe{Az4MPO+%)MxO89Q7&wBiN#XdHxNgTpK+AZuwPf>$ zZ^qZ3!w=&x$NoA$C|F44Mhp1Aq^yI31EIu@>uM2*9uv>B^2OOLpfW|FPs4eCU|MlE zivEul;N@7AbaizRm+?=h(b0q3zf-Bob<5m}7pxR8&g%L zL}H(_a{4gbWBVyakbo^u%KqaAcIjknVnxV;EoaHpKn`2dc0shN!4yetaUL zmN&9AZ0DWeK|~YK7m7pQ<<8|y8JE^hVMlCppVy_9wju?rJK(`z%1A`3;TnQG_YF^L3QzyJsB#T!&#fR4HgQ>rz2*P>IeeJ<;yU>O@B + +- [Table of Contents](#table-of-contents) + - [Helmholtz Equation](#helmholtz-equation) + - [Solving Helmholtz Equation with AI](#solving-helmholtz-equation-with-ai) + - [Datasets](#datasets) + - [Environmental Requirements](#environmental-requirements) + - [Script Description](#script-description) + - [Script and Code Sample](#script-and-code-sample) + - [Script Parameters](#script-parameters) + - [Model Training](#model-training) + - [Random Seed Setting](#random-seed-setting) + - [MindScience Home Page](#mindscience-home-page) + + + +## Helmholtz Equation + +The Helmholtz equation is an elliptic partial differential equation describing electromagnetic waves. Its basic form is as follows: + +$$(\nabla^2 + k^2)u=0$$ + +where $k=\omega c$ indicates the wavenumber, $\omega$ indicates the frequency and $c$ indicates the light speed. + +## Solving Helmholtz Equation with AI + +The overall network architecture for AI to solve the Helmholtz equation is as follows: + +![network_architecture](./docs/PINNs_for_Helmholtz.png) + +Taking the two-dimensional Helmholtz equation as an example, the network input is $\Omega=(x, y)\in [0,1]^2$, and the network output is the PDE solution $u(x, y)$. The training loss function of the network can be constructed based on the network output and the automatic differentiation ability of the MindSpore framework. The loss function consists of PDE and BC parts: +$$L_{pde}= \dfrac{1}{N_1}\sum_{i=1}^{N_1} ||(\nabla^2 + k^2)u(x_i, y_i)||^2$$ +$$L_{bc} = \dfrac{1}{N_2}\sum_{i=1}^{N_2} ||u(x_i, y_i)||^2$$ +In order to ensure the uniqueness of the solution of the above equations, the boundary condition is $u_{|\partial \Omega}=\sin(kx)$. You can customize the constant wavenumber $k$. In this case, the value is $k=2$. + +## Datasets + +AI uses self-supervised training to solve the Helmholtz equation. Data sets are generated in real time during the running. The training and inference data generation modes are as follows: + +- Training data: In each iteration, 128 sample points are selected from a uniform grid of 101 x 101 within the feasible domain to calculate a PDE part $L_{pde}$ of the loss function. The BC part $L_{bc}$ of the loss function is calculated by randomly generating 128 sample points on the boundary. +- Evaluation data: Generate 101 x 101 uniform grid points within the feasible domain, and the corresponding label is the analytical solution of the equation $u=\sin(kx)$. + - Note: Data is processed in src/dataset.py. + +## Environmental Requirements + +- Hardware (Ascend) + - Prepare the Ascend AI Processor to set up the hardware environment. +- Framework + - [MindSpore](https://www.mindspore.cn/install/en) +- For more information, see the following resources: + - [MindSpore Tutorial](https://www.mindspore.cn/tutorials/en/master/index.html) + - [MindSpore Python API](https://www.mindspore.cn/docs/api/en/master/index.html) + +## Script Description + +### Script and Code Sample + +```path +. +└─Helmholtz + ├─README.md + ├─src + ├──callback.py # callback function + ├──config.py # parameter configuration + ├──dataset.py # dataset + ├──model.py # network structure + ├──solve.py # train and test +``` + +### Script Parameters + +You can set training parameters and sampling parameters in src.config.py. + +```python +Helmholtz2D_config = ed({ + "name": "Helmholtz2D", # PDE name + "columns_list": ["input", "label"], # Evaluation Dataset Name + "epochs": 10, # training epochs + "batch_size": 128, # batch size + "lr": 0.001, # learning rate + "coord_min": [0.0, 0.0], # lower bound of the domain + "coord_max": [1.0, 1.0], # upper bound of the domain + "axis_size": 101, # grid resolution + "wave_number": 2 # wavenumber +}) + +rectangle_sampling_config = ed({ + 'domain' : ed({ # Defining the domain sampling + 'random_sampling' : False, # random sampling or not + 'size' : [100, 100], # Grid resolution without random sampling + }), + 'BC' : ed({ # Defining the boundary sampling + 'random_sampling' : True, # random sampling or not + 'size' : 128, # batch size + 'with_normal' : False, # return normal direction or not + }) +}) +``` + +## Model Training + +You can use the solve.py script to train and solve the Helmholtz equation. During the training, the model parameters are automatically saved as a checkpoint file. + +```python +python solve.py +``` + +The loss values are displayed in real time during training: + +```python +epoch: 1 step: 79, loss is 630.0 +epoch time: 26461.205 ms, per step time: 334.952 ms +epoch: 2 step: 79, loss is 196.4 +epoch time: 278.594 ms, per step time: 3.527 ms +epoch: 3 step: 79, loss is 191.4 +================================Start Evaluation================================ +Total prediction time: 10.388108491897583 s +l2_error: 0.1875916075312643 +=================================End Evaluation================================= +epoch time: 10678.531 ms, per step time: 135.171 ms +epoch: 4 step: 79, loss is 3.998 +epoch time: 277.924 ms, per step time: 3.518 ms +epoch: 5 step: 79, loss is 3.082 +epoch time: 274.681 ms, per step time: 3.477 ms +epoch: 6 step: 79, loss is 2.469 +================================Start Evaluation================================ +Total prediction time: 0.009278535842895508 s +l2_error: 0.019952444820775538 +=================================End Evaluation================================= +epoch time: 292.866 ms, per step time: 3.707 ms +epoch: 7 step: 79, loss is 1.934 +epoch time: 275.578 ms, per step time: 3.488 ms +epoch: 8 step: 79, loss is 2.162 +epoch time: 274.334 ms, per step time: 3.473 ms +epoch: 9 step: 79, loss is 1.744 +================================Start Evaluation================================ +Total prediction time: 0.0029311180114746094 s +l2_error: 0.017332553759497542 +=================================End Evaluation================================= +epoch time: 277.262 ms, per step time: 3.510 ms +epoch: 10 step: 79, loss is 1.502 +epoch time: 272.946 ms, per step time: 3.455 ms +l2 error: 0.0173325538 +per step time: 3.4550081325 +``` + +## Random Seed Setting + +The seed in the create_dataset function is set in dataset.py, and the random seed in train.py is also used. + +## MindScience Home Page + +Visit the official website [home page](https://gitee.com/mindspore/mindscience). diff --git a/MindElec/examples/physics_driven/frequency_domain_maxwell/README_CN.md b/MindElec/examples/physics_driven/frequency_domain_maxwell/README_CN.md new file mode 100644 index 000000000..d5da7f75c --- /dev/null +++ b/MindElec/examples/physics_driven/frequency_domain_maxwell/README_CN.md @@ -0,0 +1,151 @@ +# 目录 + +- [目录](#目录) + - [亥姆霍兹方程(Helmholtz equation)](#亥姆霍兹方程helmholtz-equation) + - [AI求解亥姆霍兹方程](#ai求解亥姆霍兹方程) + - [数据集](#数据集) + - [环境要求](#环境要求) + - [脚本说明](#脚本说明) + - [脚本及样例代码](#脚本及样例代码) + - [脚本参数](#脚本参数) + - [模型训练](#模型训练) + - [随机情况说明](#随机情况说明) + - [MindScience主页](#mindscience主页) + +## 亥姆霍兹方程(Helmholtz equation) + +亥姆霍兹方程是一个描述电磁波的椭圆偏微分方程,其基本形式如下: + +$$(\nabla^2 + k^2)u=0$$ + +其中$k=\omega c$是分离常数波数, $\omega$是频率, $c$是光速。 + +## AI求解亥姆霍兹方程 + +AI求解亥姆霍兹方程的整体网络架构如下: + +![network_architecture](./docs/PINNs_for_Helmholtz.png) + +以二维的亥姆霍兹方程为例,网络输入为$\Omega=(x, y)\in [0,1]^2$, 输出为方程的解$u(x, y)$。基于网络的输出和MindSpore框架的自动微分功能可以构建网络的训练损失函数,该损失函数分为PDE和BC两部分: +$$L_{pde}= \dfrac{1}{N_1}\sum_{i=1}^{N_1} ||(\nabla^2 + k^2)u(x_i, y_i)||^2$$ +$$L_{bc} = \dfrac{1}{N_2}\sum_{i=1}^{N_2} ||u(x_i, y_i)||^2$$ +为了保证上述方程解的唯一性,我们给定方程的边界条件为$u_{|\partial \Omega}=\sin(kx)$。用户可以自定义分离常数波数$k$,本案例中取值为$k=2$。 + +## 数据集 + +AI求解亥姆霍兹方程时使用自监督方式训练,数据集在运行过程中实时生成,训练与推理数据生成的方式如下: + +- 训练数据:每次迭代中,在可行域内部从101*101的均匀网格中选取128个样本点计算损失函数的PDE部分$L_{pde}$;在边界上随机生成128个样本点计算损失函数的BC部分$L_{bc}$。 +- 评估数据:在可行域内生成101*101的均匀网格点,其对应的label为方程解析解$u=\sin(kx)$ + - 注:数据在src/dataset.py中处理。 + +## 环境要求 + +- 硬件(Ascend) + - 准备Ascend处理器搭建硬件环境。 +- 框架 + - [MindSpore](https://www.mindspore.cn/install) +- 如需查看详情,请参见如下资源: + - [MindSpore教程](https://www.mindspore.cn/tutorials/zh-CN/master/index.html) + - [MindSpore Python API](https://www.mindspore.cn/docs/api/zh-CN/master/index.html) + +## 脚本说明 + +### 脚本及样例代码 + +```path +. +└─Helmholtz + ├─README.md + ├─src + ├──callback.py # 回调函数 + ├──config.py # 参数配置 + ├──dataset.py # 数据集配置 + ├──model.py # 网络模型 + ├──solve.py # 训练和评估网络 +``` + +### 脚本参数 + +在src.config.py里面可以设置训练的参数和采样参数 + +```python +Helmholtz2D_config = ed({ + "name": "Helmholtz2D", # 方程名称 + "columns_list": ["input", "label"], # 评估数据集名称 + "epochs": 10, # 训练周期 + "batch_size": 128, # 单次训练样本数目 + "lr": 0.001, # 学习率 + "coord_min": [0.0, 0.0], # 求解域下限 + "coord_max": [1.0, 1.0], # 求解域上限 + "axis_size": 101, # 网格粗细度 + "wave_number": 2 # 分离常数波数 +}) + +rectangle_sampling_config = ed({ + 'domain' : ed({ # 定义内部采样率 + 'random_sampling' : False, # 是否使用随机 + 'size' : [100, 100], # 不使用随机采样时的网格分辨率 + }), + 'BC' : ed({ # 定义边界采样率 + 'random_sampling' : True, # 是否使用随机 + 'size' : 128, # 使用随机采样时的总采样数 + 'with_normal' : False, # 是否返回边界法向量 + }) +}) +``` + +## 模型训练 + +您可以通过solve.py脚本训练求解亥姆霍兹方程,训练过程中模型参数会自动保存为检查点文件: + +```python +python solve.py +``` + +训练过程中会实时显示损失函数值: + +```python +epoch: 1 step: 79, loss is 630.0 +epoch time: 26461.205 ms, per step time: 334.952 ms +epoch: 2 step: 79, loss is 196.4 +epoch time: 278.594 ms, per step time: 3.527 ms +epoch: 3 step: 79, loss is 191.4 +================================Start Evaluation================================ +Total prediction time: 10.388108491897583 s +l2_error: 0.1875916075312643 +=================================End Evaluation================================= +epoch time: 10678.531 ms, per step time: 135.171 ms +epoch: 4 step: 79, loss is 3.998 +epoch time: 277.924 ms, per step time: 3.518 ms +epoch: 5 step: 79, loss is 3.082 +epoch time: 274.681 ms, per step time: 3.477 ms +epoch: 6 step: 79, loss is 2.469 +================================Start Evaluation================================ +Total prediction time: 0.009278535842895508 s +l2_error: 0.019952444820775538 +=================================End Evaluation================================= +epoch time: 292.866 ms, per step time: 3.707 ms +epoch: 7 step: 79, loss is 1.934 +epoch time: 275.578 ms, per step time: 3.488 ms +epoch: 8 step: 79, loss is 2.162 +epoch time: 274.334 ms, per step time: 3.473 ms +epoch: 9 step: 79, loss is 1.744 +================================Start Evaluation================================ +Total prediction time: 0.0029311180114746094 s +l2_error: 0.017332553759497542 +=================================End Evaluation================================= +epoch time: 277.262 ms, per step time: 3.510 ms +epoch: 10 step: 79, loss is 1.502 +epoch time: 272.946 ms, per step time: 3.455 ms +l2 error: 0.0173325538 +per step time: 3.4550081325 +``` + +## 随机情况说明 + +dataset.py中设置了“create_dataset”函数内的种子,同时还使用了train.py中的随机种子。 + +## MindScience主页 + +请浏览官网[主页](https://gitee.com/mindspore/mindscience)。 \ No newline at end of file diff --git a/MindElec/examples/physics_driven/frequency_domain_maxwell/docs/PINNs_for_Helmholtz.png b/MindElec/examples/physics_driven/frequency_domain_maxwell/docs/PINNs_for_Helmholtz.png new file mode 100644 index 0000000000000000000000000000000000000000..12610598f5e5cdfdbda511458e08ed3e723a6e7b GIT binary patch literal 14433 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a/tests/st/mindelec/networks/test_auto_encoder/src/config.py b/tests/st/mindelec/networks/test_data_compression/src/config.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/src/config.py rename to tests/st/mindelec/networks/test_data_compression/src/config.py diff --git a/tests/st/mindelec/networks/test_auto_encoder/src/dataset.py b/tests/st/mindelec/networks/test_data_compression/src/dataset.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/src/dataset.py rename to tests/st/mindelec/networks/test_data_compression/src/dataset.py diff --git a/tests/st/mindelec/networks/test_auto_encoder/src/lr_generator.py b/tests/st/mindelec/networks/test_data_compression/src/lr_generator.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/src/lr_generator.py rename to tests/st/mindelec/networks/test_data_compression/src/lr_generator.py diff --git a/tests/st/mindelec/networks/test_auto_encoder/src/metric.py b/tests/st/mindelec/networks/test_data_compression/src/metric.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/src/metric.py rename to tests/st/mindelec/networks/test_data_compression/src/metric.py diff --git a/tests/st/mindelec/networks/test_auto_encoder/src/model.py b/tests/st/mindelec/networks/test_data_compression/src/model.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/src/model.py rename to tests/st/mindelec/networks/test_data_compression/src/model.py diff --git a/tests/st/mindelec/networks/test_auto_encoder/test_autoencoder.py b/tests/st/mindelec/networks/test_data_compression/test_autoencoder.py similarity index 100% rename from tests/st/mindelec/networks/test_auto_encoder/test_autoencoder.py rename to tests/st/mindelec/networks/test_data_compression/test_autoencoder.py -- Gitee