From cb8dd97c4a21ecab1091d6f227d59a59308ef5e7 Mon Sep 17 00:00:00 2001 From: veypi Date: Sat, 9 Jan 2021 11:18:13 +0800 Subject: [PATCH] =?UTF-8?q?=E5=88=9D=E5=A7=8B=E5=8C=96page?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- README.md | 3 +- eda/edaf/.gitignore | 5 + eda/edaf/index.html | 13 + eda/edaf/package.json | 15 + eda/edaf/public/favicon.ico | Bin 0 -> 4286 bytes eda/edaf/src/App.vue | 15 + eda/edaf/src/assets/logo.png | Bin 0 -> 6849 bytes eda/edaf/src/components/HelloWorld.vue | 19 + eda/edaf/src/index.css | 8 + eda/edaf/src/main.js | 5 + eda/edaf/yarn.lock | 2134 +++++++++++++++++ numerical_analysis/1/README.md | 60 + numerical_analysis/2/README.md | 0 numerical_analysis/3/README.md | 0 numerical_analysis/4/README.md | 0 numerical_analysis/5/README.md | 0 numerical_analysis/6/README.md | 0 numerical_analysis/7/README.md | 0 .../8/{question.md => README.md} | 31 +- numerical_analysis/8/main.py | 48 +- 20 files changed, 2337 insertions(+), 19 deletions(-) create mode 100644 eda/edaf/.gitignore create mode 100644 eda/edaf/index.html create mode 100644 eda/edaf/package.json create mode 100644 eda/edaf/public/favicon.ico create mode 100644 eda/edaf/src/App.vue create mode 100644 eda/edaf/src/assets/logo.png create mode 100644 eda/edaf/src/components/HelloWorld.vue create mode 100644 eda/edaf/src/index.css create mode 100644 eda/edaf/src/main.js create mode 100644 eda/edaf/yarn.lock create mode 100644 numerical_analysis/1/README.md create mode 100644 numerical_analysis/2/README.md create mode 100644 numerical_analysis/3/README.md create mode 100644 numerical_analysis/4/README.md create mode 100644 numerical_analysis/5/README.md create mode 100644 numerical_analysis/6/README.md create mode 100644 numerical_analysis/7/README.md rename numerical_analysis/8/{question.md => README.md} (70%) diff --git a/README.md b/README.md index bccc918..668a060 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,4 @@ # courses -课程作业 \ No newline at end of file +课程作业 + diff --git a/eda/edaf/.gitignore b/eda/edaf/.gitignore new file mode 100644 index 0000000..53f7466 --- /dev/null +++ b/eda/edaf/.gitignore @@ -0,0 +1,5 @@ +node_modules +.DS_Store +dist +dist-ssr +*.local \ No newline at end of file diff --git a/eda/edaf/index.html b/eda/edaf/index.html new file mode 100644 index 0000000..d49c18c --- /dev/null +++ b/eda/edaf/index.html @@ -0,0 +1,13 @@ + + + + + + + Vite App + + +
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{{ msg }}

+ +

Edit components/HelloWorld.vue to test hot module replacement.

+ + + diff --git a/eda/edaf/src/index.css b/eda/edaf/src/index.css new file mode 100644 index 0000000..852de7a --- /dev/null +++ b/eda/edaf/src/index.css @@ -0,0 +1,8 @@ +#app { + font-family: Avenir, Helvetica, Arial, sans-serif; + -webkit-font-smoothing: antialiased; + -moz-osx-font-smoothing: grayscale; + text-align: center; + color: #2c3e50; + margin-top: 60px; +} diff --git a/eda/edaf/src/main.js b/eda/edaf/src/main.js new file mode 100644 index 0000000..50a4dab --- /dev/null +++ b/eda/edaf/src/main.js @@ -0,0 +1,5 @@ +import { createApp } from 'vue' +import App from './App.vue' +import './index.css' + +createApp(App).mount('#app') diff --git a/eda/edaf/yarn.lock b/eda/edaf/yarn.lock new file mode 100644 index 0000000..4cb1a3f --- /dev/null +++ b/eda/edaf/yarn.lock @@ -0,0 +1,2134 @@ +# THIS IS AN AUTOGENERATED FILE. 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a/numerical_analysis/1/README.md b/numerical_analysis/1/README.md new file mode 100644 index 0000000..d493de7 --- /dev/null +++ b/numerical_analysis/1/README.md @@ -0,0 +1,60 @@ +# 工程数值方法与机器学习 + +> 2020/2021 学年 +> +> 北京航空航天大学微电子学院 +> +> 授课教师：王鹏教授，邢炜博士 + +### 作业1 +简介: +> 在本次作业中，你需要编写Matlab（或python）程序来求解一些线性方程组，你需要能在电脑上运行Matlab2012a以上版本（或python）。 +请按照本文档中的说明执行任务并生成并以所需格式保存结果。 提交你的求解器代码和报告（其中包含总结和图表）。 +完成A部分与B部分的所有内容。 + +A部分：编写你自己的求解器 +1. 编写一个用来求解方程 Ux = d的向后替代求解器, 其中 U 是上三角矩阵。 +2. 编写一个方阵 A的LU分解求解器。 建议添加选主元步骤，它通过交换矩阵的行来避免小数字的除法，可以有效提高稳定性。 +3. 结合（1，2）编写一个线性方程组的求解器。 +4. 编写一个Jacobi求解器。 + +B部分：测试你的求解器 + +- i 对不同的bi 求解线性方程组Axi = bi ，其中A 是随机矩阵。 + + - 1. 创建 NxN 的随机矩阵 A. 确保 A 的行列式不接近0. 你可以通过给A加上一个对角阵来确保行列式不为零。 + - 2. 创建i=1…1000 的随机向量bi + - 3. 对每个 i, 求解Axi = bi , 通过求解上面的问题并计算平方根均方误差 (RMSE, a.k.a., L2误差，计算方法为：假如解法器求得为x*，误差计算为 (Ax*-b)^2 的平均值 ). 记录每次求解的总计算时间。 + - 4. 对 N =（2,4,8,16,32,64,128,…,2048 ), 比较下面几个不同的求解器的精度和消耗时间。 + + - a. 你的基于LU分解的求解器, + b. 你的Jacobi求解器 + c. 对矩阵 A 求一次逆 (Matlab 命令: inv(A) or A^(-1) ) 并直接计算结果inv(A)*b + d. Matlab的默认求解器 linsolve(A,B) (或者python的默认求解器). +结果应当类似下图: + + +(ii) 对不同的bi 求解线性方程组Axi = bi ，其中矩阵A的条件数较大。 + 这个目标和B部分 (i) 类似，除了A被设计为病态矩阵，顾名思义，有较大的条件数 +Tips: 如果你不知道怎么生成一个病态随机矩阵，可以按下面的Matlab函数来生成。你可以直接将下面的代码复制到你的Matlab程序中使用。 +function A = illA(N) + A = rand(N); + A = (A + A') / 2; + + [U,S,V] = svd(A); + S(1,1) = S(1,1) * 10^log(N^2); + S(end,end) = S(end,end) ./ 10^log(N^2); + + A = U * S * V'; +end + +(iii) 对不同的bi 求解线性方程组Axi = bi ，其中矩阵A是随机稀疏矩阵。 + 这个目标和B部分 (i) 类似，除了A被设计为稀疏矩阵，它的大部分元素都是0。 + +生成(i)，(i)，(iii)的图表并进行对比，总结你的实验结论，例如，什么情况下使用什么解法器是比较合适的；为什么Matlab自带的解法器效果总是最好等等。 + +作业提交有效时间是今天到10月23日（两周后）之前的任意时间。提交作业请将代码和报告打包，以“课后作业1-名字-学号”命名提交。 + + + + diff --git a/numerical_analysis/2/README.md b/numerical_analysis/2/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/3/README.md b/numerical_analysis/3/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/4/README.md b/numerical_analysis/4/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/5/README.md b/numerical_analysis/5/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/6/README.md b/numerical_analysis/6/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/7/README.md b/numerical_analysis/7/README.md new file mode 100644 index 0000000..e69de29 diff --git a/numerical_analysis/8/question.md b/numerical_analysis/8/README.md similarity index 70% rename from numerical_analysis/8/question.md rename to numerical_analysis/8/README.md index e1d0c28..ce9afc5 100644 --- a/numerical_analysis/8/question.md +++ b/numerical_analysis/8/README.md @@ -32,7 +32,8 @@ 使用神经网络进行回归预测 -1. 使用共11个理化指标作为模型输入，经过大量调试（不同的网络结构，不同的深度，宽度，激活函数，初始化策略，优化函数）确定出最好的网络结构和策略。说明为什么你选择了该模型结构和策略。（你对比了哪些其他的结构？你觉得为什么该模型的效果比较好？如何防止你的选择基准只是一个巧合？）用图表总结你的搜索结果，列出每个模型（或者经过挑选的有代表性的模型）的RMSE，R2和模型训练时间。 +1. +使用共11个理化指标作为模型输入，经过大量调试（不同的网络结构，不同的深度，宽度，激活函数，初始化策略，优化函数）确定出最好的网络结构和策略。说明为什么你选择了该模型结构和策略。（你对比了哪些其他的结构？你觉得为什么该模型的效果比较好？如何防止你的选择基准只是一个巧合？）用图表总结你的搜索结果，列出每个模型（或者经过挑选的有代表性的模型）的RMSE，R2和模型训练时间。 2. 进一步精调模型，提升模型效果并减少过拟合（例如：dropout，early stopping，bagging，交叉验证，L2/L1正则化等等）。用图表总结你使用的精调方法的带来的效果提升。 @@ -44,5 +45,29 @@ 1. 选择目标1，目标2 里面选得的最优秀的模型，对比他们在不同训练数据下的表现并总结，作图。 -作业提交有效时间是今天到12月29日（三周后）之前的任意时间。 -提交作业请将代码和报告打包，以“学号-姓名-UQ”命名提交至链接 [http://www.xzc.cn/YvcM5sqqVm] +作业提交有效时间是今天到12月29日（三周后）之前的任意时间。 提交作业请将代码和报告打包，以“学号-姓名-UQ”命名提交至链接 [http://www.xzc.cn/YvcM5sqqVm] + + +```shell +# 运行 +cd numerical_analysis/8 +python main.py +``` + +``` +随机森林 + R2: 0.475379 + accuracy: 0.687500 +线性回归 + R2: 0.297383 + accuracy: 0.587500 +支持向量机 + R2: 0.250542 + accuracy: 0.681250 +随机梯度下降 + R2: -0.124188 + accuracy: 0.475000 +多层感知器 + R2: 0.288015 + accuracy: 0.637500 +``` \ No newline at end of file diff --git a/numerical_analysis/8/main.py b/numerical_analysis/8/main.py index 885481b..8172f79 100644 --- a/numerical_analysis/8/main.py +++ b/numerical_analysis/8/main.py @@ -22,33 +22,42 @@ class WinePredict: self.X_train = sc.fit_transform(self.X_train) self.X_test = sc.fit_transform(self.X_test) - # 线性回归 def lr(self): + """ + 线性回归 + """ lr = LinearRegression() lr.fit(self.X_train, self.y_train) return lr.predict(self.X_test) - # 随机森林 def rfc(self): - rfc = RandomForestClassifier(n_estimators=200) + """ + 随机森林 + """ + rfc = RandomForestClassifier(n_estimators=200, random_state=20) rfc.fit(self.X_train, self.y_train) return rfc.predict(self.X_test) - # 随机梯度下降 - # 0.2 极其不稳定 def sgd(self): + """ + 随机梯度下降 + """ sgd = SGDClassifier(penalty=None) sgd.fit(self.X_train, self.y_train) return sgd.predict(self.X_test) - # 支持向量机 - # 0.23 -> 0.25 def svc(self): + """ + 支持向量机 + """ svc = SVC(C=1.4, gamma=0.8, kernel='rbf') svc.fit(self.X_train, self.y_train) return svc.predict(self.X_test) def mlp(self): + """ + 多层感知器 + """ mlp = MLPClassifier([10, 6], learning_rate_init=0.001, activation='relu', solver='adam', alpha=0.0001, max_iter=30000) # 神经网络 @@ -57,9 +66,10 @@ class WinePredict: # 参数调优 def grid_search(self, model, param): - grid_svc = GridSearchCV(model, param_grid=param, scoring='accuracy', cv=10) - grid_svc.fit(self.X_train, self.y_train) - return grid_svc.best_params_ + print('search %s', param) + grid = GridSearchCV(model, param_grid=param, scoring='accuracy', cv=10) + grid.fit(self.X_train, self.y_train) + print("%s: %f" % (grid.best_params_, grid.best_score_)) def gs_svc(self): param = { @@ -67,17 +77,23 @@ class WinePredict: 'kernel': ['linear', 'rbf'], 'gamma': [0.1, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4] } - print(self.grid_search(SVC, param)) + self.grid_search(SVC(), param) # {'C': 1.4, 'gamma': 0.8, 'kernel': 'rbf'} + def gs_rfc(self): + self.grid_search(RandomForestClassifier(), { + 'n_estimators': [200], + 'random_state': [_ for _ in range(0, 200, 10)] + }) + def report(self, fc): r = fc() if r.dtype == 'float64' or r.dtype == 'float32': r = r.round() # print(classification_report(self.y_test, r)) - print(fc.__name__) - print(" R2: %f" % r2_score(self.y_test, r)) - print(" accuracy: %f" % accuracy_score(self.y_test, r)) + print(fc.__doc__.strip()) + print(" R2: %f" % r2_score(self.y_test, r)) + print(" accuracy: %f" % accuracy_score(self.y_test, r)) def showXY(self): # fig = plt.figure(figsize=(10, 6)) @@ -91,5 +107,7 @@ class WinePredict: if __name__ == '__main__': wp = WinePredict() - wp.report(wp.lr) + wp.gs_rfc() + for i in [wp.rfc, wp.lr, wp.svc, wp.sgd, wp.mlp][:1]: + wp.report(i) # wp.showXY()