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Dive-into-DL-PyTorch
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Dive-into-DL-PyTorch/code/chapter03_DL-basics/3.2_linear-regression-scrat...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3.2 线性回归的从零开始实现"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.2.0\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import torch\n",
"from IPython import display\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import random\n",
"\n",
"print(torch.__version__)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.1 生成数据集"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"num_inputs = 2\n",
"num_examples = 1000\n",
"true_w = [2, -3.4]\n",
"true_b = 4.2\n",
"features = torch.randn(num_examples, num_inputs,\n",
" dtype=torch.float32)\n",
"labels = true_w[0] * features[:, 0] + true_w[1] * features[:, 1] + true_b\n",
"labels += torch.tensor(np.random.normal(0, 0.01, size=labels.size()),\n",
" dtype=torch.float32)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor([0.1706, 1.0724]) tensor(0.8927)\n"
]
}
],
"source": [
"print(features[0], labels[0])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
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"text/plain": [
"<matplotlib.figure.Figure at 0x1125d2470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def use_svg_display():\n",
" # 用矢量图显示\n",
" display.set_matplotlib_formats('svg')\n",
"\n",
"def set_figsize(figsize=(3.5, 2.5)):\n",
" use_svg_display()\n",
" # 设置图的尺寸\n",
" plt.rcParams['figure.figsize'] = figsize\n",
"\n",
"# # 在../d2lzh_pytorch里面添加上面两个函数后就可以这样导入\n",
"# import sys\n",
"# sys.path.append(\"..\")\n",
"# from d2lzh_pytorch import * \n",
"\n",
"set_figsize()\n",
"plt.scatter(features[:, 1].numpy(), labels.numpy(), 1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.2 读取数据"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# 本函数已保存在d2lzh包中方便以后使用\n",
"def data_iter(batch_size, features, labels):\n",
" num_examples = len(features)\n",
" indices = list(range(num_examples))\n",
" random.shuffle(indices) # 样本的读取顺序是随机的\n",
" for i in range(0, num_examples, batch_size):\n",
" j = torch.LongTensor(indices[i: min(i + batch_size, num_examples)]) # 最后一次可能不足一个batch\n",
" yield features.index_select(0, j), labels.index_select(0, j)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"tensor([[-1.5561, 1.5366],\n",
" [ 0.7773, -0.4141],\n",
" [-0.7296, 0.2837],\n",
" [-0.1572, -0.1902],\n",
" [-1.1338, 0.0436],\n",
" [ 1.5135, -2.5492],\n",
" [ 0.5583, 0.2310],\n",
" [-1.3505, -1.5909],\n",
" [-0.2826, 1.3457],\n",
" [ 0.2002, -2.1443]]) \n",
" tensor([-4.1393, 7.1701, 1.7999, 4.5387, 1.7729, 15.8816, 4.5391, 6.9128,\n",
" -0.9564, 11.9046])\n"
]
}
],
"source": [
"batch_size = 10\n",
"\n",
"for X, y in data_iter(batch_size, features, labels):\n",
" print(X, '\\n', y)\n",
" break"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.3 初始化模型参数"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"w = torch.tensor(np.random.normal(0, 0.01, (num_inputs, 1)), dtype=torch.float32)\n",
"b = torch.zeros(1, dtype=torch.float32)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor([0.], requires_grad=True)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"w.requires_grad_(requires_grad=True)\n",
"b.requires_grad_(requires_grad=True) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.4 定义模型"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def linreg(X, w, b): # 本函数已保存在d2lzh包中方便以后使用\n",
" return torch.mm(X, w) + b"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.5 定义损失函数"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def squared_loss(y_hat, y): # 本函数已保存在pytorch_d2lzh包中方便以后使用\n",
" return (y_hat - y.view(y_hat.size())) ** 2 / 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.6 定义优化算法"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def sgd(params, lr, batch_size): # 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
" for param in params:\n",
" param.data -= lr * param.grad / batch_size # 注意这里更改param时用的param.data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.7 训练模型"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epoch 1, loss 0.031926\n",
"epoch 2, loss 0.000115\n",
"epoch 3, loss 0.000054\n"
]
}
],
"source": [
"lr = 0.03\n",
"num_epochs = 3\n",
"net = linreg\n",
"loss = squared_loss\n",
"\n",
"for epoch in range(num_epochs): # 训练模型一共需要num_epochs个迭代周期\n",
" # 在每一个迭代周期中，会使用训练数据集中所有样本一次（假设样本数能够被批量大小整除）。X\n",
" # 和y分别是小批量样本的特征和标签\n",
" for X, y in data_iter(batch_size, features, labels):\n",
" l = loss(net(X, w, b), y).sum() # l是有关小批量X和y的损失\n",
" l.backward() # 小批量的损失对模型参数求梯度\n",
" sgd([w, b], lr, batch_size) # 使用小批量随机梯度下降迭代模型参数\n",
" \n",
" # 不要忘了梯度清零\n",
" w.grad.data.zero_()\n",
" b.grad.data.zero_()\n",
" train_l = loss(net(features, w, b), labels)\n",
" print('epoch %d, loss %f' % (epoch + 1, train_l.mean().item()))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2, -3.4] \n",
" tensor([[ 2.0000],\n",
" [-3.3996]], requires_grad=True)\n",
"4.2 \n",
" tensor([4.1990], requires_grad=True)\n"
]
}
],
"source": [
"print(true_w, '\\n', w)\n",
"print(true_b, '\\n', b)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}