{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import torch\n", "import torch.nn.functional as F\n", "from sklearn.datasets import make_moons\n", "import matplotlib.pyplot as plt\n", "\n", "torch.manual_seed(1024)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# 定义线性模型和Sigmoid函数\n", "\n", "class Linear:\n", " \n", " def __init__(self, in_features, out_features, bias=True):\n", " '''\n", " 模型参数初始化\n", " 需要注意的是,此次故意没做参数初始化的优化\n", " '''\n", " self.weight = torch.randn((in_features, out_features), requires_grad=True) # (in_features, out_features)\n", " self.bias = torch.randn(out_features, requires_grad=True) if bias else None # ( out_features)\n", " \n", " def __call__(self, x):\n", " # x: (B, in_features)\n", " # self.weight: (in_features, out_features)\n", " self.out = x @ self.weight # (B, out_features)\n", " if self.bias is not None:\n", " self.out += self.bias\n", " return self.out\n", " \n", " def parameters(self):\n", " '''\n", " 返回线性模型的参数,主要用于参数迭代更新\n", " 由于PyTorch的计算单元就是张量,\n", " 所以此次只需将不同参数简单合并成列表即可\n", " '''\n", " if self.bias is not None:\n", " return [self.weight, self.bias]\n", " return [self.weight]\n", "\n", "\n", "class Sigmoid:\n", " \n", " def __call__(self, x):\n", " self.out = torch.sigmoid(x)\n", " return self.out\n", " \n", " def parameters(self):\n", " '''\n", " Sigmoid函数没有模型参数\n", " '''\n", " return []" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "class Sequential:\n", " \n", " def __init__(self, layers):\n", " # layers表示的模型组件,比如线性模型,比如sigmoid\n", " self.layers = layers\n", " \n", " def __call__(self, x):\n", " for l in self.layers:\n", " x = l(x)\n", " self.out = x\n", " return self.out\n", " \n", " def parameters(self):\n", " return [p for layer in self.layers for p in layer.parameters()]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def train_model(model, data, max_steps):\n", " lossi = []\n", " # 记录各层的参数更新幅度\n", " # {1: [...], 2: [...]}\n", " udi = {}\n", " x, y = torch.tensor(data[0]).float(), torch.tensor(data[1])\n", " learning_rate = 0.01\n", " \n", " for i in range(max_steps):\n", " # 向前传播\n", " logits = model(x)\n", " loss = F.cross_entropy(logits, y)\n", " # 保留中间节点的梯度,以便观察\n", " for layer in model.layers:\n", " layer.out.retain_grad()\n", " for p in model.parameters():\n", " p.grad = None\n", " # 反向传播\n", " loss.backward()\n", " # 更新模型参数\n", " with torch.no_grad():\n", " for i, p in enumerate(model.parameters()):\n", " p -= learning_rate * p.grad\n", " udi[i] = udi.get(i, []) + [(learning_rate * p.grad).std() / p.std()]\n", " lossi.append(loss.item())\n", " return lossi, udi" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([4.795090198516846],\n", " {0: [tensor(0.0006)],\n", " 1: [tensor(0.0010)],\n", " 2: [tensor(0.0003)],\n", " 3: [tensor(0.0005)],\n", " 4: [tensor(0.0003)],\n", " 5: [tensor(0.0005)],\n", " 6: [tensor(0.0004)],\n", " 7: [tensor(0.0006)],\n", " 8: [tensor(0.0029)],\n", " 9: [tensor(0.0109)]})" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = make_moons(2000, noise=0.05)\n", "\n", "# 为了讨论的方便,将神经网络扩大\n", "n_hidden = 100\n", "model = Sequential([\n", " Linear( 2, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, 2)\n", "])\n", "\n", "train_model(model, data, 1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# 监控激活函数的输出\n", "def saturation_stats(model):\n", " for i, layer in enumerate(model.layers):\n", " if isinstance(layer, Sigmoid):\n", " t = layer.out\n", " # 当激活函数的输出大于0.99或者小于0.01的时候,我们就认为激活函数过热\n", " # 计算过热比例\n", " saturation = ((t - 0.5).abs() > 0.49).float().mean()\n", " # 激活函数的输出分布情况\n", " hy, hx = torch.histogram(t, density=True)\n", " plt.plot(hx[:-1].detach(), hy.detach())\n", " print(f'layer {i} mean {t.mean():.2f} std {t.std():.2f} saturation {saturation:.2f}')\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 1 mean 0.49 std 0.26 saturation 0.00\n", "layer 3 mean 0.49 std 0.42 saturation 0.37\n", "layer 5 mean 0.49 std 0.45 saturation 0.56\n", "layer 7 mean 0.41 std 0.43 saturation 0.49\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "saturation_stats(model)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "def grad_stats(model):\n", " # 输出层暂不讨论\n", " for i, layer in enumerate(model.layers[:-1]):\n", " if isinstance(layer, Linear):\n", " w = layer.parameters()[0]\n", " g = w.grad\n", " grad_ratio = g.std() / w.std()\n", " # 参数梯度的分布情况\n", " hy, hx = torch.histogram(g, density=True)\n", " plt.plot(hx[:-1].detach(), hy.detach())\n", " print(f'layer {i} mean {g.mean():.2f} std {g.std():.2f} grad_ratio {grad_ratio:.2f}')\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean 0.00 std 0.06 grad_ratio 0.06\n", "layer 2 mean 0.00 std 0.03 grad_ratio 0.03\n", "layer 4 mean 0.00 std 0.03 grad_ratio 0.03\n", "layer 6 mean -0.00 std 0.04 grad_ratio 0.04\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_stats(model)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "_, ud = train_model(model, data, 100)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def grad_ratio_plot(model):\n", " legends = []\n", " for i, p in enumerate(model.parameters()[:-2]):\n", " if p.ndim == 2:\n", " plt.plot([t.log10().item() for t in ud[i]])\n", " legends.append(f'layer {i} {p.shape}')\n", " plt.legend(legends)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_ratio_plot(model)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(0.6931)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 随机猜测的模型损失\n", "-torch.tensor(0.5).log()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(0.8447)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clz_num = 2\n", "num = 1000\n", "logits = torch.randn(num, clz_num)\n", "y = torch.randint(clz_num, (num,))\n", "F.cross_entropy(logits, y)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tensor(5.6338)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clz_num = 2\n", "num = 1000\n", "logits = torch.randn(num, clz_num) * 10\n", "y = torch.randint(clz_num, (num,))\n", "F.cross_entropy(logits, y)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([0.7606934309005737],\n", " {0: [tensor(1.0919e-06)],\n", " 1: [tensor(1.)],\n", " 2: [tensor(1.7928e-05)],\n", " 3: [tensor(1.)],\n", " 4: [tensor(7.9178e-05)],\n", " 5: [tensor(1.)],\n", " 6: [tensor(0.0003)],\n", " 7: [tensor(1.)],\n", " 8: [tensor(0.0089)],\n", " 9: [tensor(1.)]})" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = make_moons(2000, noise=0.05)\n", "\n", "# 为了讨论的方便,将神经网络扩大\n", "n_hidden = 100\n", "model = Sequential([\n", " Linear( 2, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden), Sigmoid(),\n", " Linear(n_hidden, 2)\n", "])\n", "\n", "# 参数初始化的优化\n", "with torch.no_grad():\n", " for layer in model.layers:\n", " if isinstance(layer, Linear):\n", " in_features, out_features = layer.weight.shape\n", " layer.weight *= 1 / in_features ** 0.5\n", " layer.bias = torch.zeros(out_features, requires_grad=True)\n", "\n", "train_model(model, data, 1)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 1 mean 0.51 std 0.17 saturation 0.00\n", "layer 3 mean 0.51 std 0.14 saturation 0.00\n", "layer 5 mean 0.50 std 0.12 saturation 0.00\n", "layer 7 mean 0.51 std 0.12 saturation 0.00\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "saturation_stats(model)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean -0.00 std 0.00 grad_ratio 0.00\n", "layer 2 mean -0.00 std 0.00 grad_ratio 0.00\n", "layer 4 mean 0.00 std 0.00 grad_ratio 0.01\n", "layer 6 mean 0.00 std 0.00 grad_ratio 0.03\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_stats(model)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "_, ud = train_model(model, data, 100)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_ratio_plot(model)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "@torch.no_grad()\n", "def layer_stats(func, calculate_gain):\n", " x = torch.randn(300, 1000)\n", " for t in range(10):\n", " l = Linear(1000, 1000, bias=False)\n", " in_features, _ = l.weight.shape\n", " # 初步优化\n", " l.weight *= 1 / in_features ** 0.5\n", " # 做进一步的优化\n", " l.weight *= calculate_gain\n", " x = func(l(x))\n", " hy, hx = torch.histogram(x, density=True)\n", " plt.plot(hx[:-1].detach(), hy.detach())\n", " print(f'layer {t} mean {x.mean():.2f} std {x.std():.2f}')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean 0.50 std 0.21\n", "layer 1 mean 0.50 std 0.13\n", "layer 2 mean 0.50 std 0.12\n", "layer 3 mean 0.50 std 0.12\n", "layer 4 mean 0.50 std 0.12\n", "layer 5 mean 0.50 std 0.12\n", "layer 6 mean 0.51 std 0.12\n", "layer 7 mean 0.50 std 0.12\n", "layer 8 mean 0.50 std 0.12\n", "layer 9 mean 0.50 std 0.12\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "layer_stats(torch.sigmoid, 1.0)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean -0.00 std 0.72\n", "layer 1 mean 0.00 std 0.63\n", "layer 2 mean -0.00 std 0.59\n", "layer 3 mean -0.00 std 0.57\n", "layer 4 mean -0.00 std 0.56\n", "layer 5 mean 0.00 std 0.56\n", "layer 6 mean 0.00 std 0.55\n", "layer 7 mean 0.00 std 0.55\n", "layer 8 mean 0.00 std 0.55\n", "layer 9 mean 0.00 std 0.55\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "layer_stats(torch.tanh, 1.4)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean 0.56 std 0.83\n", "layer 1 mean 0.57 std 0.82\n", "layer 2 mean 0.58 std 0.84\n", "layer 3 mean 0.58 std 0.86\n", "layer 4 mean 0.58 std 0.86\n", "layer 5 mean 0.63 std 0.89\n", "layer 6 mean 0.66 std 0.94\n", "layer 7 mean 0.65 std 0.97\n", "layer 8 mean 0.66 std 0.97\n", "layer 9 mean 0.69 std 1.02\n" ] }, { "data": { "image/png": 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6Jic2TnBicIzj68e5Z/Me3v72B3jbqZMMasc00pvFkYI6In4O+DRQA5/NzP+21KpWrKoqNjc32dzcBO77vrbV9y1buzt8+6WLPP3013nuO8/zve1L7Gay3dSMBw3jQU3XVEwGwbhp2GnW2K5HXKqPM2kaJjFkzBpbhwV+C1wBrnTw8nPAbKQzZMJajlnLCRv9Nif6q5xot1nrOyJriJqmqlmPmo1qwPHBiBOjDTZG62xWFSfXh5w+vsHpYyc5NjzGRr3GRjNkWNUelJV+gCLz1u9QFxE18E/AvwFeAP4B+KXMfPKwx5w7dy7Pnz9/N+t8y8lMLu1MeeG5b/Pi+cfZfvlZdncucqlKLseISTRMmopuDdphxXRYMR3WTAdBOwimDUzqmkk9YBxDtqoNLlfHuVIdZ8Jw73k6aqYxvEUlN4vs53P9yfzFYMIgp7MDugkVHeu5y0a/w3ruzq4qn0FkUGdP0yd139NkTxMddcIggyZhAAyoGEYwjKCuKogBUdXUdc2oaRgNBqzXNXVV01QNw2ZA0wwYDYcM6yGDZkjTVFRV0MSQuh5S1w19BVHXUDXUdUNTDWiqAXVVUQfUUTGoKwZ1TQW+GOkHKiIez8xzB33vKB31jwPfyMxn5hv7M+AXgUODWt+/iODUxpBTP3KWD/zI2df9+MzkypVLvPLKi1y9+F0uv/QdXnvlWbZfe43x1haTrV2qKQyo6QdJN4LxKGiHzIK+XmM8GLI7HDAeVLRNzLr7qqatatqqoq1qJlXNtGqYVg19QEbQUbFTjfhecw/bsT479BuzQ8AdNVMGdPF9Tt36+T+AyaF7ARjP/92ZyH7v4HVFT9BTcXNzc+3gdt5wO9cd+L52e0/M753z0xlmL3T93kHz2aNvU98NB9YPrunW97vV4/Z/fbvHV3lwvfsfV0+OU/eDw3+yqoH5C2Tc5Xc5jlFNvfn6mpLD5CH74vSg4X9+8L135Tn2O8pvy/3At/Z9/QLwEzfeKSIeBh4GeNe73nVXitOdiwhOnDjFiROn4IeX9CTthPHWJbbHY65s73Dp8iUuX7zI5Mqr7Gx/h52tq/STCX0LdD2MJ+TuFNqg72o6aibZ0yW0dZI1TOugr2cvDG3VkJHzYOyhCqbN7EWiqyuI2QHgPoK+hgzoq4qsZi8WWQEBWSVJUJFEzgKX6PdeWDJm28hqFp8Z1+J49v2YB2rQL7rs4IZojnmuXvsFznkcZVyL3Nx/O8Fiy7PtzeK0p5rdHoeFVZKx2M5sC7G39eu3v//j9Vu4xYvA4hVk8fPv3XjtZ7j50UGTDTceA7/xeZqdilG/RhV58HbWTkBdH/qScOPtr+dvnmgGNJt3bwVWHPDsJ5rlHBu6awcTM/MR4BGYjT7u1nZVsGbI2skzrAH3rLoW6U3sKPH/IvDOfV8/ML9NkvQDcJSg/gfgvRHxYEQMgY8D/2u5ZUmSFm47+sjMNiL+M/DXzJbn/Y/M/NrSK5MkAUecUWfmXwJ/ueRaJEkH8PQ1SSqcQS1JhTOoJalwBrUkFe627/VxRxuNuAA8d4cPvxe4eBfLeTNx39ya++dw7pvDlbJv3p2ZZw76xlKC+vsREecPe2OStzr3za25fw7nvjncG2HfOPqQpMIZ1JJUuBKD+pFVF1Aw982tuX8O5745XPH7prgZtSTpeiV21JKkfQxqSSpcMUEdET8XEf8YEd+IiN9adT0liYh3RsTfRsSTEfG1iPjkqmsqTUTUEfGliPiLVddSmog4FRGPRsTXI+KpiPjJVddUioj49fnv1Fcj4k8jYrTqmg5SRFDPL6D7B8C/Bd4P/FJEvH+1VRWlBX4jM98PfAj4T+6fm3wSeGrVRRTq08BfZea/An4U9xMAEXE/8GvAucz8ALO3cf74aqs6WBFBzb4L6GbmBFhcQFdAZr6UmU/MP7/C7Bft/tVWVY6IeAD4GPDZVddSmog4Cfw08EcAmTnJzNdWWlRZGmA9IhpgA/j2ius5UClBfdAFdA2iA0TEWeAh4LEVl1KS3wd+k2vXJdc1DwIXgD+ej4Y+GxGbqy6qBJn5IvC7wPPAS8ClzPyb1VZ1sFKCWkcQEceAPwc+lZmXV11PCSLi54FXMvPxVddSqAb4IPCZzHwI2AI8BgRExD3M/nJ/ELgP2IyIT6y2qoOVEtReQPc2ImLALKQ/l5mfX3U9Bfkw8AsR8SyzkdlHIuJPVltSUV4AXsjMxV9gjzILbsHPAt/MzAuZOQU+D/zUims6UClB7QV0byEigtmM8anM/L1V11OSzPztzHwgM88y+3/zhcwssitahcx8GfhWRLxvftNHgSdXWFJJngc+FBEb89+xj1LogdYjXTNx2byA7m19GPhl4CsR8eX5bf9lfi1L6XZ+FfjcvAl6BviVFddThMx8LCIeBZ5gtrLqSxR6OrmnkEtS4UoZfUiSDmFQS1LhDGpJKpxBLUmFM6glqXAGtSQVzqCWpML9f23RJKxQ2hRRAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "layer_stats(torch.relu, torch.tensor(2).sqrt())" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "class BatchNorm1d:\n", " # x : (B, f)\n", " \n", " def __init__(self, dim, eps=1e-5):\n", " self.eps = eps\n", " self.gamma = torch.ones(dim, requires_grad=True) # (f)\n", " self.beta = torch.zeros(dim, requires_grad=True) # (f)\n", " \n", " def __call__(self, x):\n", " # x : (B, f)\n", " xmean = x.mean(0, keepdim=True) # (1, f)\n", " xvar = x.var(0, keepdim=True) # (1, f)\n", " xhat = (x - xmean) / torch.sqrt(xvar + self.eps) # (B, f)\n", " self.out = self.gamma * xhat + self.beta # (B, f)\n", " return self.out\n", " \n", " def parameters(self):\n", " return [self.gamma, self.beta]" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "@torch.no_grad()\n", "def layer_stats2(func):\n", " x = torch.randn(300, 1000)\n", " for t in range(10):\n", " l = Linear(1000, 1000, bias=False)\n", " b = BatchNorm1d(1000)\n", " #in_features, _ = l.weight.shape\n", " # 初步优化\n", " #l.weight *= 1 / in_features ** 0.5\n", " # 做进一步的优化\n", " #l.weight *= calculate_gain\n", " x = func(b(l(x)))\n", " hy, hx = torch.histogram(x, density=True)\n", " plt.plot(hx[:-1].detach(), hy.detach())\n", " print(f'layer {t} mean {x.mean():.2f} std {x.std():.2f}')" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean 0.40 std 0.58\n", "layer 1 mean 0.40 std 0.58\n", "layer 2 mean 0.40 std 0.58\n", "layer 3 mean 0.40 std 0.58\n", "layer 4 mean 0.40 std 0.58\n", "layer 5 mean 0.40 std 0.58\n", "layer 6 mean 0.40 std 0.58\n", "layer 7 mean 0.40 std 0.58\n", "layer 8 mean 0.40 std 0.58\n", "layer 9 mean 0.40 std 0.58\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "layer_stats2(torch.relu)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([0.7270458340644836],\n", " {0: [tensor(0.0007)],\n", " 1: [tensor(1.0000)],\n", " 2: [tensor(1.)],\n", " 3: [tensor(0.0038)],\n", " 4: [tensor(1.0000)],\n", " 5: [tensor(1.)],\n", " 6: [tensor(0.0027)],\n", " 7: [tensor(1.0000)],\n", " 8: [tensor(1.)],\n", " 9: [tensor(0.0016)],\n", " 10: [tensor(1.0000)],\n", " 11: [tensor(1.)],\n", " 12: [tensor(0.0066)],\n", " 13: [tensor(0.0007)]})" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_hidden = 100\n", "model = Sequential([\n", " Linear( 2, n_hidden, bias=False), BatchNorm1d(n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden, bias=False), BatchNorm1d(n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden, bias=False), BatchNorm1d(n_hidden), Sigmoid(),\n", " Linear(n_hidden, n_hidden, bias=False), BatchNorm1d(n_hidden), Sigmoid(),\n", " Linear(n_hidden, 2)\n", "])\n", "\n", "# 参数初始化的优化\n", "with torch.no_grad():\n", " for layer in model.layers:\n", " if isinstance(layer, Linear):\n", " in_features, out_features = layer.weight.shape\n", " layer.weight *= 1 / in_features ** 0.5\n", "\n", "train_model(model, data, 1)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 2 mean 0.50 std 0.22 saturation 0.00\n", "layer 5 mean 0.50 std 0.22 saturation 0.00\n", "layer 8 mean 0.50 std 0.22 saturation 0.00\n", "layer 11 mean 0.50 std 0.22 saturation 0.00\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_stats(model)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "_, ud = train_model(model, data, 100)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grad_ratio_plot(model)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "class LayerNorm1d:\n", " # x : (B, f)\n", " \n", " def __init__(self, dim, eps=1e-5):\n", " self.eps = eps\n", " self.gamma = torch.ones(dim, requires_grad=True) # (f)\n", " self.beta = torch.zeros(dim, requires_grad=True) # (f)\n", " \n", " def __call__(self, x):\n", " # x : (B, f)\n", " xmean = x.mean(1, keepdim=True) # (B, 1)\n", " xvar = x.var(1, keepdim=True) # (B, 1)\n", " xhat = (x - xmean) / torch.sqrt(xvar + self.eps) # (B, f)\n", " self.out = self.gamma * xhat + self.beta # (B, f)\n", " return self.out\n", " \n", " def parameters(self):\n", " return [self.gamma, self.beta]" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "@torch.no_grad()\n", "def layer_stats3(func):\n", " x = torch.randn(300, 1000)\n", " for t in range(10):\n", " l = Linear(1000, 1000, bias=False)\n", " b = LayerNorm1d(1000)\n", " #in_features, _ = l.weight.shape\n", " # 初步优化\n", " #l.weight *= 1 / in_features ** 0.5\n", " # 做进一步的优化\n", " #l.weight *= calculate_gain\n", " x = func(b(l(x)))\n", " hy, hx = torch.histogram(x, density=True)\n", " plt.plot(hx[:-1].detach(), hy.detach())\n", " print(f'layer {t} mean {x.mean():.2f} std {x.std():.2f}')" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "layer 0 mean 0.50 std 0.21\n", "layer 1 mean 0.50 std 0.21\n", "layer 2 mean 0.50 std 0.21\n", "layer 3 mean 0.50 std 0.21\n", "layer 4 mean 0.50 std 0.21\n", "layer 5 mean 0.50 std 0.21\n", "layer 6 mean 0.50 std 0.21\n", "layer 7 mean 0.50 std 0.21\n", "layer 8 mean 0.50 std 0.21\n", "layer 9 mean 0.50 std 0.21\n" ] }, { "data": { "image/png": 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\n", 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