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2654 lines
106 KiB
2654 lines
106 KiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# 7.3 小批量随机梯度下降"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"1.0.0\n"
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]
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}
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],
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"source": [
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"%matplotlib inline\n",
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"import numpy as np\n",
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"import time\n",
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"import torch\n",
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"from torch import nn, optim\n",
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"import sys\n",
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"sys.path.append(\"..\") \n",
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"import d2lzh_pytorch as d2l\n",
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"\n",
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"print(torch.__version__)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 7.3.1 读取数据"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"torch.Size([1500, 5])"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"def get_data_ch7(): # 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
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" data = np.genfromtxt('../../data/airfoil_self_noise.dat', delimiter='\\t')\n",
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" data = (data - data.mean(axis=0)) / data.std(axis=0) # 标准化\n",
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" return torch.tensor(data[:1500, :-1], dtype=torch.float32), \\\n",
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" torch.tensor(data[:1500, -1], dtype=torch.float32) # 前1500个样本(每个样本5个特征)\n",
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"\n",
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"features, labels = get_data_ch7()\n",
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"features.shape"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 7.3.2 从零开始实现"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"def sgd(params, states, hyperparams):\n",
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" for p in params:\n",
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" p.data -= hyperparams['lr'] * p.grad.data"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"# 本函数已保存在d2lzh_pytorch包中方便以后使用\n",
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"def train_ch7(optimizer_fn, states, hyperparams, features, labels,\n",
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" batch_size=10, num_epochs=2):\n",
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" # 初始化模型\n",
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" net, loss = d2l.linreg, d2l.squared_loss\n",
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" \n",
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" w = torch.nn.Parameter(torch.tensor(np.random.normal(0, 0.01, size=(features.shape[1], 1)), dtype=torch.float32),\n",
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" requires_grad=True)\n",
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" b = torch.nn.Parameter(torch.zeros(1, dtype=torch.float32), requires_grad=True)\n",
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"\n",
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" def eval_loss():\n",
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" return loss(net(features, w, b), labels).mean().item()\n",
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"\n",
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" ls = [eval_loss()]\n",
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" data_iter = torch.utils.data.DataLoader(\n",
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" torch.utils.data.TensorDataset(features, labels), batch_size, shuffle=True)\n",
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" \n",
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" for _ in range(num_epochs):\n",
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" start = time.time()\n",
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" for batch_i, (X, y) in enumerate(data_iter):\n",
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" l = loss(net(X, w, b), y).mean() # 使用平均损失\n",
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" \n",
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" # 梯度清零\n",
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" if w.grad is not None:\n",
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" w.grad.data.zero_()\n",
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" b.grad.data.zero_()\n",
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" \n",
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" l.backward()\n",
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" optimizer_fn([w, b], states, hyperparams) # 迭代模型参数\n",
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" if (batch_i + 1) * batch_size % 100 == 0:\n",
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" ls.append(eval_loss()) # 每100个样本记录下当前训练误差\n",
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" # 打印结果和作图\n",
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" print('loss: %f, %f sec per epoch' % (ls[-1], time.time() - start))\n",
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" d2l.set_figsize()\n",
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" d2l.plt.plot(np.linspace(0, num_epochs, len(ls)), ls)\n",
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" d2l.plt.xlabel('epoch')\n",
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" d2l.plt.ylabel('loss')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"loss: 0.244678, 0.012216 sec per epoch\n"
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]
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},
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"source": [
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},
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"metadata": {},
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"source": [
|
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"## 7.3.3 简洁实现"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
|
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"# 本函数与原书不同的是这里第一个参数优化器函数而不是优化器的名字\n",
|
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"# 例如: optimizer_fn=torch.optim.SGD, optimizer_hyperparams={\"lr\": 0.05}\n",
|
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"def train_pytorch_ch7(optimizer_fn, optimizer_hyperparams, features, labels,\n",
|
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" batch_size=10, num_epochs=2):\n",
|
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" # 初始化模型\n",
|
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" net = nn.Sequential(\n",
|
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" nn.Linear(features.shape[-1], 1)\n",
|
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" )\n",
|
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" loss = nn.MSELoss()\n",
|
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" optimizer = optimizer_fn(net.parameters(), **optimizer_hyperparams)\n",
|
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"\n",
|
|
" def eval_loss():\n",
|
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" return loss(net(features).view(-1), labels).item() / 2\n",
|
|
"\n",
|
|
" ls = [eval_loss()]\n",
|
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" data_iter = torch.utils.data.DataLoader(\n",
|
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" torch.utils.data.TensorDataset(features, labels), batch_size, shuffle=True)\n",
|
|
"\n",
|
|
" for _ in range(num_epochs):\n",
|
|
" start = time.time()\n",
|
|
" for batch_i, (X, y) in enumerate(data_iter):\n",
|
|
" # 除以2是为了和train_ch7保持一致, 因为squared_loss中除了2\n",
|
|
" l = loss(net(X).view(-1), y) / 2 \n",
|
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" \n",
|
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" optimizer.zero_grad()\n",
|
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" l.backward()\n",
|
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" optimizer.step()\n",
|
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" if (batch_i + 1) * batch_size % 100 == 0:\n",
|
|
" ls.append(eval_loss())\n",
|
|
" # 打印结果和作图\n",
|
|
" print('loss: %f, %f sec per epoch' % (ls[-1], time.time() - start))\n",
|
|
" d2l.set_figsize()\n",
|
|
" d2l.plt.plot(np.linspace(0, num_epochs, len(ls)), ls)\n",
|
|
" d2l.plt.xlabel('epoch')\n",
|
|
" d2l.plt.ylabel('loss')"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"loss: 0.245491, 0.044150 sec per epoch\n"
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]
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},
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