softmax.ipynb

{

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? "cell_type": "code",

? "execution_count": 15,

? "metadata": {},

? "outputs": [],

? "source": [

? ? "%matplotlib inline\n",

? ? "%reload_ext autoreload\n",

? ? "%autoreload 1\n",

? ? "%aimport d2lzh_pytorch\n",

? ? "import torch\n",

? ? "import torchvision\n",

? ? "import torchvision.transforms as transforms\n",

? ? "import matplotlib.pyplot as plt\n",

? ? "import numpy as np\n",

? ? "import sys\n"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 14,

? "metadata": {

? ? "tags": [

? ? "獲取和讀取數(shù)據(jù)"

? ? ]

? },

? "outputs": [

? ? {

? ? "name": "stdout",

? ? "output_type": "stream",

? ? "text": [

? ? ? "60000 10000\n"

? ? ]

? ? }

? ],

? "source": [

? ? "batch_size = 256\n",

? ? "train_iter, test_iter = d2lzh_pytorch.load_data_fashion_mnist(batch_size)"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 17,

? "metadata": {

? ? "tags": [

? ? "初始化模型參數(shù)"

? ? ]

? },

? "outputs": [],

? "source": [

? ? "num_inputs = 784\n",

? ? "num_outputs = 10\n",

? ? "\n",

? ? "W = torch.tensor(np.random.normal(0, 0.01, (num_inputs, num_outputs)), dtype=torch.float)\n",

? ? "b = torch.zeros(num_outputs, dtype=torch.float)"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 18,

? "metadata": {

? ? "tags": [

? ? "開啟計算梯度"

? ? ]

? },

? "outputs": [

? ? {

? ? "data": {

? ? ? "text/plain": [

? ? ? "tensor([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.], requires_grad=True)"

? ? ? ]

? ? },

? ? "execution_count": 18,

? ? "metadata": {},

? ? "output_type": "execute_result"

? ? }

? ],

? "source": [

? ? "W.requires_grad_(requires_grad=True)\n",

? ? "b.requires_grad_(requires_grad=True) "

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 19,

? "metadata": {

? ? "tags": [

? ? "實現(xiàn)softmax運算"

? ? ]

? },

? "outputs": [

? ? {

? ? "name": "stdout",

? ? "output_type": "stream",

? ? "text": [

? ? ? "tensor([[5, 7, 9]])\n",

? ? ? "tensor([[ 6],\n",

? ? ? "? ? ? ? [15]])\n"

? ? ]

? ? }

? ],

? "source": [

? ? "X = torch.tensor([[1, 2, 3], [4, 5, 6]])\n",

? ? "print(X.sum(dim=0, keepdim=True))\n",

? ? "print(X.sum(dim=1, keepdim=True))"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 20,

? "metadata": {},

? "outputs": [],

? "source": [

? ? "def softmax(X):\n",

? ? "? ? X_exp = X.exp()\n",

? ? "? ? partition = X_exp.sum(dim=1, keepdim=True)\n",

? ? "? ? return X_exp / partition? # 這里應用了廣播機制"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 21,

? "metadata": {},

? "outputs": [

? ? {

? ? "name": "stdout",

? ? "output_type": "stream",

? ? "text": [

? ? ? "tensor([[0.1301, 0.3243, 0.1301, 0.1509, 0.2646],\n",

? ? ? "? ? ? ? [0.1799, 0.2408, 0.2936, 0.1409, 0.1448]]) tensor([1.0000, 1.0000])\n"

? ? ]

? ? }

? ],

? "source": [

? ? "X = torch.rand((2, 5))\n",

? ? "X_prob = softmax(X)\n",

? ? "print(X_prob, X_prob.sum(dim=1))"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 22,

? "metadata": {

? ? "tags": [

? ? "定義模型"

? ? ]

? },

? "outputs": [],

? "source": [

? ? "def net(X):\n",

? ? "? ? return softmax(torch.mm(X.view((-1, num_inputs)), W) + b)"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 23,

? "metadata": {

? ? "tags": [

? ? "定義損失函數(shù)"

? ? ]

? },

? "outputs": [

? ? {

? ? "data": {

? ? ? "text/plain": [

? ? ? "tensor([[0.1000],\n",

? ? ? "? ? ? ? [0.5000]])"

? ? ? ]

? ? },

? ? "execution_count": 23,

? ? "metadata": {},

? ? "output_type": "execute_result"

? ? }

? ],

? "source": [

? ? "y_hat = torch.tensor([[0.1, 0.3, 0.6], [0.3, 0.2, 0.5]])\n",

? ? "y = torch.LongTensor([0, 2])\n",

? ? "y_hat.gather(1, y.view(-1, 1))"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 24,

? "metadata": {

? ? "tags": [

? ? "交叉熵損失函數(shù)"

? ? ]

? },

? "outputs": [],

? "source": [

? ? "def cross_entropy(y_hat, y):\n",

? ? "? ? return - torch.log(y_hat.gather(1, y.view(-1, 1)))"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 25,

? "metadata": {},

? "outputs": [

? ? {

? ? "name": "stdout",

? ? "output_type": "stream",

? ? "text": [

? ? ? "0.0682\n"

? ? ]

? ? }

? ],

? "source": [

? ? "print(d2lzh_pytorch.evaluate_accuracy(test_iter, net))"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 29,

? "metadata": {

? ? "tags": [

? ? "訓練模型"

? ? ]

? },

? "outputs": [

? ? {

? ? "name": "stdout",

? ? "output_type": "stream",

? ? "text": [

? ? ? "epoch 1, loss 0.7879, train acc 0.747, test acc 0.789\n",

? ? ? "epoch 2, loss 0.5711, train acc 0.812, test acc 0.813\n",

? ? ? "epoch 3, loss 0.5249, train acc 0.826, test acc 0.818\n",

? ? ? "epoch 4, loss 0.5009, train acc 0.832, test acc 0.825\n",

? ? ? "epoch 5, loss 0.4851, train acc 0.838, test acc 0.821\n"

? ? ]

? ? }

? ],

? "source": [

? ? "num_epochs, lr = 5, 0.1\n",

? ? "\n",

? ? "d2lzh_pytorch.train_softmax(net, train_iter, test_iter, cross_entropy, num_epochs, batch_size, [W, b], lr)"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": 32,

? "metadata": {

? ? "tags": [

? ? "預測"

? ? ]

? },

? "outputs": [

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? ? ? "? <g clip-path=\"url(#p4cc01b9c3c)\">\r\n",

? ? ? "? ? <image height=\"64\" id=\"image7f1c34f039\" transform=\"scale(1 -1)translate(0 -64)\" width=\"64\" x=\"617.130189\" xlink:href=\"data:image/png;base64,\r\n",

? ? ? "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\" y=\"-34.925311\"/>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? <g id=\"patch_43\">\r\n",

? ? ? "? ? <path d=\"M 617.130189 98.925311 \r\n",

? ? ? "L 617.130189 35.7555 \r\n",

? ? ? "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? <g id=\"patch_44\">\r\n",

? ? ? "? ? <path d=\"M 680.3 98.925311 \r\n",

? ? ? "L 680.3 35.7555 \r\n",

? ? ? "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? <g id=\"patch_45\">\r\n",

? ? ? "? ? <path d=\"M 617.130189 98.925311 \r\n",

? ? ? "L 680.3 98.925311 \r\n",

? ? ? "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? <g id=\"patch_46\">\r\n",

? ? ? "? ? <path d=\"M 617.130189 35.7555 \r\n",

? ? ? "L 680.3 35.7555 \r\n",

? ? ? "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? <g id=\"text_9\">\r\n",

? ? ? "? ? <!-- sandal -->\r\n",

? ? ? "? ? <defs>\r\n",

? ? ? "? ? <path d=\"M 45.40625 46.390625 \r\n",

? ? ? "L 45.40625 75.984375 \r\n",

? ? ? "L 54.390625 75.984375 \r\n",

? ? ? "L 54.390625 0 \r\n",

? ? ? "L 45.40625 0 \r\n",

? ? ? "L 45.40625 8.203125 \r\n",

? ? ? "Q 42.578125 3.328125 38.25 0.953125 \r\n",

? ? ? "Q 33.9375 -1.421875 27.875 -1.421875 \r\n",

? ? ? "Q 17.96875 -1.421875 11.734375 6.484375 \r\n",

? ? ? "Q 5.515625 14.40625 5.515625 27.296875 \r\n",

? ? ? "Q 5.515625 40.1875 11.734375 48.09375 \r\n",

? ? ? "Q 17.96875 56 27.875 56 \r\n",

? ? ? "Q 33.9375 56 38.25 53.625 \r\n",

? ? ? "Q 42.578125 51.265625 45.40625 46.390625 \r\n",

? ? ? "z\r\n",

? ? ? "M 14.796875 27.296875 \r\n",

? ? ? "Q 14.796875 17.390625 18.875 11.75 \r\n",

? ? ? "Q 22.953125 6.109375 30.078125 6.109375 \r\n",

? ? ? "Q 37.203125 6.109375 41.296875 11.75 \r\n",

? ? ? "Q 45.40625 17.390625 45.40625 27.296875 \r\n",

? ? ? "Q 45.40625 37.203125 41.296875 42.84375 \r\n",

? ? ? "Q 37.203125 48.484375 30.078125 48.484375 \r\n",

? ? ? "Q 22.953125 48.484375 18.875 42.84375 \r\n",

? ? ? "Q 14.796875 37.203125 14.796875 27.296875 \r\n",

? ? ? "z\r\n",

? ? ? "\" id=\"DejaVuSans-100\"/>\r\n",

? ? ? "? ? </defs>\r\n",

? ? ? "? ? <g transform=\"translate(628.957282 16.318125)scale(0.12 -0.12)\">\r\n",

? ? ? "? ? <use xlink:href=\"#DejaVuSans-115\"/>\r\n",

? ? ? "? ? <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",

? ? ? "? ? <use x=\"113.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",

? ? ? "? ? <use x=\"176.757812\" xlink:href=\"#DejaVuSans-100\"/>\r\n",

? ? ? "? ? <use x=\"240.234375\" xlink:href=\"#DejaVuSans-97\"/>\r\n",

? ? ? "? ? <use x=\"301.513672\" xlink:href=\"#DejaVuSans-108\"/>\r\n",

? ? ? "? ? </g>\r\n",

? ? ? "? ? <!-- sandal -->\r\n",

? ? ? "? ? <g transform=\"translate(628.957282 29.7555)scale(0.12 -0.12)\">\r\n",

? ? ? "? ? <use xlink:href=\"#DejaVuSans-115\"/>\r\n",

? ? ? "? ? <use x=\"52.099609\" xlink:href=\"#DejaVuSans-97\"/>\r\n",

? ? ? "? ? <use x=\"113.378906\" xlink:href=\"#DejaVuSans-110\"/>\r\n",

? ? ? "? ? <use x=\"176.757812\" xlink:href=\"#DejaVuSans-100\"/>\r\n",

? ? ? "? ? <use x=\"240.234375\" xlink:href=\"#DejaVuSans-97\"/>\r\n",

? ? ? "? ? <use x=\"301.513672\" xlink:href=\"#DejaVuSans-108\"/>\r\n",

? ? ? "? ? </g>\r\n",

? ? ? "? </g>\r\n",

? ? ? "? </g>\r\n",

? ? ? " </g>\r\n",

? ? ? " <defs>\r\n",

? ? ? "? <clipPath id=\"p69d52e7f5a\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"10.7\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"pb4121aea09\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"86.503774\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"pb0d9811715\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"162.307547\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"pf46a7bba1a\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"238.111321\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"p41ea5c5d5d\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"313.915094\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"pdf6c46b4d0\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"389.718868\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"pcb2a0083a5\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"465.522642\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"p35f160ef36\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"541.326415\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? "? <clipPath id=\"p4cc01b9c3c\">\r\n",

? ? ? "? <rect height=\"63.169811\" width=\"63.169811\" x=\"617.130189\" y=\"35.7555\"/>\r\n",

? ? ? "? </clipPath>\r\n",

? ? ? " </defs>\r\n",

? ? ? "</svg>\r\n"

? ? ? ],

? ? ? "text/plain": [

? ? ? "<Figure size 864x864 with 9 Axes>"

? ? ? ]

? ? },

? ? "metadata": {

? ? ? "needs_background": "light"

? ? },

? ? "output_type": "display_data"

? ? }

? ],

? "source": [

? ? "X, y = iter(test_iter).next()\n",

? ? "\n",

? ? "true_labels = d2lzh_pytorch.get_fashion_mnist_labels(y.numpy())\n",

? ? "pred_labels = d2lzh_pytorch.get_fashion_mnist_labels(net(X).argmax(dim=1).numpy())\n",

? ? "titles = [true + '\\n' + pred for true, pred in zip(true_labels, pred_labels)]\n",

? ? "\n",

? ? "d2lzh_pytorch.show_fashion_mnist(X[0:9], titles[0:9])"

? ]

? },

? {

? "cell_type": "code",

? "execution_count": null,

? "metadata": {},

? "outputs": [],

? "source": []

? }

],

"metadata": {

? "celltoolbar": "Tags",

? "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": "3.6.10"

? }

},

"nbformat": 4,

"nbformat_minor": 4

}

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