55-优化算法-小批量随机梯度下降-深度学习-pytorch.ipynb

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"
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"
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    "image-4.png": {
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"
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   "cell_type": "markdown",
   "id": "18c71ea9",
   "metadata": {},
   "source": [
    "\n",
    "* 1. 小批量\n",
    "![image.png](attachment:image.png)\n",
    "![image-2.png](attachment:image-2.png)\n",
    "* 2. 为什么要使用小批量：例子：计算A=BC\n",
    "![image-3.png](attachment:image-3.png)\n",
    "基础知识捎带回顾：\n",
    "![image-4.png](attachment:image-4.png)\n",
    "* 3. 读取数据集\n",
    "* 4. 从零开始实现\n",
    "* 5. 简洁实现"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "1eea68a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import torch\n",
    "from torch import nn\n",
    "import dltools\n",
    "\n",
    "timer = dltools.Timer()\n",
    "A = torch.zeros(256, 256)\n",
    "B = torch.randn(256, 256)\n",
    "C = torch.randn(256, 256)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "222a203d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.3829889297485352"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 逐元素计算A=BC\n",
    "timer.start()\n",
    "for i in range(256):\n",
    "    for j in range(256):\n",
    "        A[i, j] = torch.dot(B[i, :], C[:, j])\n",
    "timer.stop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "823643dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.016999244689941406"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 逐列计算A=BC\n",
    "timer.start()\n",
    "for j in range(256):\n",
    "    A[:, j] = torch.mv(B, C[:, j])\n",
    "timer.stop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "421e8b26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0029914379119873047"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 一次性计算A=BC\n",
    "timer.start()\n",
    "A = torch.mm(B, C)\n",
    "timer.stop()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0d0c8446",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.004987001419067383"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "timer.start()\n",
    "for j in range(0, 256, 64):\n",
    "    A[:, j:j+64] = torch.mm(B, C[:, j:j+64])\n",
    "timer.stop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ac8243ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 读取数据集\n",
    "def get_data(batch_size=10, n=1500):\n",
    "    data = np.genfromtxt(\"E:/data/airfoil_self_noise.dat\",dtype=np.float32, delimiter='\\t')\n",
    "    data = torch.from_numpy((data - data.mean(axis=0)) / data.std(axis=0))\n",
    "    data_iter = dltools.load_array((data[:n, :-1], data[:n, -1]),batch_size, is_train=True)\n",
    "    return data_iter, data.shape[1] - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "778e15ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 梯度下降\n",
    "def sgd(params, states, hyperparams):\n",
    "    for p in params:\n",
    "        p.data.sub_(hyperparams['lr'] * p.grad)\n",
    "        p.grad.data.zero_()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "bf31d7d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 训练\n",
    "def train(trainer_fn, states, hyperparams, data_iter, feature_dim, num_epochs=2):\n",
    "    # 初始化模型\n",
    "    w = torch.normal(mean=0.0, std=0.01, size=(feature_dim, 1),requires_grad=True)\n",
    "    b = torch.zeros((1), requires_grad=True)\n",
    "    net, loss = lambda X: dltools.linreg(X, w, b), dltools.squared_loss\n",
    "    # 训练模型\n",
    "    animator = dltools.Animator(xlabel='epoch', ylabel='loss',xlim=[0, num_epochs], ylim=[0.22, 0.35])\n",
    "    n, timer = 0, dltools.Timer()\n",
    "    for _ in range(num_epochs):\n",
    "        for X, y in data_iter:\n",
    "            l = loss(net(X), y).mean()\n",
    "            l.backward()\n",
    "            trainer_fn([w, b], states, hyperparams)\n",
    "            n += X.shape[0]\n",
    "            if n % 200 == 0:\n",
    "                timer.stop()\n",
    "                animator.add(n/X.shape[0]/len(data_iter),(dltools.evaluate_loss(net, data_iter, loss),))\n",
    "                timer.start()\n",
    "    print(f'loss: {animator.Y[0][-1]:.3f}, {timer.avg():.3f} sec/epoch')\n",
    "    return timer.cumsum(), animator.Y[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "481bea5f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "loss: 0.245, 0.091 sec/epoch\n"
     ]
    },
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    "def train_sgd(lr, batch_size, num_epochs=2):\n",
    "    data_iter, feature_dim = get_data(batch_size) # 返回数据和X的维度\n",
    "    return train(sgd, None, {'lr': lr}, data_iter, feature_dim, num_epochs)\n",
    "\n",
    "gd_res = train_sgd(1, 1500, 10)"
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   "id": "bea3d8dd",
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      "loss: 0.242, 0.028 sec/epoch\n"
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  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "cb1462c8",
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   "source": [
    "dltools.set_figsize([6, 3])\n",
    "dltools.plot(*list(map(list, zip(gd_res, sgd_res, mini1_res, mini2_res))), 'time (sec)', 'loss', xlim=[1e-2, 10],legend=['gd', 'sgd', 'batch size=100', 'batch size=10'])\n",
    "dltools.plt.gca().set_xscale('log')"
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  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "65a2af9d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 简洁实现\n",
    "def train_concise(trainer_fn, hyperparams, data_iter, num_epochs=4):\n",
    "    # 初始化模型\n",
    "    net = nn.Sequential(nn.Linear(5, 1))\n",
    "    def init_weights(m):\n",
    "        if type(m) == nn.Linear:\n",
    "            torch.nn.init.normal_(m.weight, std=0.01)\n",
    "    net.apply(init_weights)\n",
    "\n",
    "    optimizer = trainer_fn(net.parameters(), **hyperparams)\n",
    "    loss = nn.MSELoss(reduction='none') # 直接返回向量形式的 loss\n",
    "    animator = dltools.Animator(xlabel='epoch', ylabel='loss',xlim=[0, num_epochs], ylim=[0.22, 0.35])\n",
    "    n, timer = 0, dltools.Timer()\n",
    "    for _ in range(num_epochs):\n",
    "        for X, y in data_iter:\n",
    "            optimizer.zero_grad()\n",
    "            out = net(X)\n",
    "            y = y.reshape(out.shape)\n",
    "            l = loss(out, y)\n",
    "            l.mean().backward()\n",
    "            optimizer.step()\n",
    "            n += X.shape[0]\n",
    "            if n % 200 == 0:\n",
    "                timer.stop()\n",
    "                # MSELoss计算平方误差时不带系数1/2\n",
    "                animator.add(n/X.shape[0]/len(data_iter),(dltools.evaluate_loss(net, data_iter, loss) / 2,))\n",
    "                timer.start()\n",
    "    print(f'loss: {animator.Y[0][-1]:.3f}, {timer.avg():.3f} sec/epoch')"
   ]
  },
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   "execution_count": 56,
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      "loss: 0.242, 0.028 sec/epoch\n"
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   "source": [
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    "trainer = torch.optim.SGD\n",
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   "id": "c91f82c6",
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    "data = np.genfromtxt(\"E:/data/airfoil_self_noise.dat\",dtype=np.float32, delimiter='\\t')\n",
    "data = torch.from_numpy((data - data.mean(axis=0)) / data.std(axis=0))\n",
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   "outputs": [
    {
     "data": {
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