梯度消失、梯度爆炸、kaggle房价预测
kaggle房价预测
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14%matplotlib inline import torch import torch.nn as nn import numpy as np import pandas as pd import sys sys.path.append("/home/kesci/input") import d2lzh1981 as d2l print(torch.__version__) torch.set_default_tensor_type(torch.FloatTensor) test_data = pd.read_csv("/home/kesci/input/houseprices2807/house-prices-advanced-regression-techniques/test.csv") train_data = pd.read_csv("/home/kesci/input/houseprices2807/house-prices-advanced-regression-techniques/train.csv") all_features = pd.concat((train_data.iloc[:, 1:-1], test_data.iloc[:, 1:]))
预处理特征
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13numeric_features = all_features.dtypes[all_features.dtypes != 'object'].index all_features[numeric_features] = all_features[numeric_features].apply( lambda x: (x - x.mean()) / (x.std())) # 标准化后,每个数值特征的均值变为0,所以可以直接用0来替换缺失值 all_features[numeric_features] = all_features[numeric_features].fillna(0) # dummy_na=True将缺失值也当作合法的特征值并为其创建指示特征 all_features = pd.get_dummies(all_features, dummy_na=True) all_features.shape n_train = train_data.shape[0] train_features = torch.tensor(all_features[:n_train].values, dtype=torch.float) test_features = torch.tensor(all_features[n_train:].values, dtype=torch.float) train_labels = torch.tensor(train_data.SalePrice.values, dtype=torch.float).view(-1, 1)
训练模型
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31loss = torch.nn.MSELoss() def get_net(feature_num): net = nn.Linear(feature_num, 1) for param in net.parameters(): nn.init.normal_(param, mean=0, std=0.01) return net def log_rmse(net, features, labels): with torch.no_grad(): # 将小于1的值设成1,使得取对数时数值更稳定 clipped_preds = torch.max(net(features), torch.tensor(1.0)) rmse = torch.sqrt(2 * loss(clipped_preds.log(), labels.log()).mean()) return rmse.item() def train(net, train_features, train_labels, test_features, test_labels, num_epochs, learning_rate, weight_decay, batch_size): train_ls, test_ls = [], [] dataset = torch.utils.data.TensorDataset(train_features, train_labels) train_iter = torch.utils.data.DataLoader(dataset, batch_size, shuffle=True) # 这里使用了Adam优化算法 optimizer = torch.optim.Adam(params=net.parameters(), lr=learning_rate, weight_decay=weight_decay) net = net.float() for epoch in range(num_epochs): for X, y in train_iter: l = loss(net(X.float()), y.float()) optimizer.zero_grad() l.backward() optimizer.step() train_ls.append(log_rmse(net, train_features, train_labels)) if test_labels is not None: test_ls.append(log_rmse(net, test_features, test_labels)) return train_ls, test_ls
K折交叉验证
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33def get_k_fold_data(k, i, X, y): # 返回第i折交叉验证时所需要的训练和验证数据 assert k > 1 fold_size = X.shape[0] // k X_train, y_train = None, None for j in range(k): idx = slice(j * fold_size, (j + 1) * fold_size) X_part, y_part = X[idx, :], y[idx] if j == i: X_valid, y_valid = X_part, y_part elif X_train is None: X_train, y_train = X_part, y_part else: X_train = torch.cat((X_train, X_part), dim=0) y_train = torch.cat((y_train, y_part), dim=0) return X_train, y_train, X_valid, y_valid def k_fold(k, X_train, y_train, num_epochs, learning_rate, weight_decay, batch_size): train_l_sum, valid_l_sum = 0, 0 for i in range(k): data = get_k_fold_data(k, i, X_train, y_train) net = get_net(X_train.shape[1]) train_ls, valid_ls = train(net, *data, num_epochs, learning_rate, weight_decay, batch_size) train_l_sum += train_ls[-1] valid_l_sum += valid_ls[-1] if i == 0: d2l.semilogy(range(1, num_epochs + 1), train_ls, 'epochs', 'rmse', range(1, num_epochs + 1), valid_ls, ['train', 'valid']) print('fold %d, train rmse %f, valid rmse %f' % (i, train_ls[-1], valid_ls[-1])) return train_l_sum / k, valid_l_sum / k
模型选择
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4k, num_epochs, lr, weight_decay, batch_size = 5, 100, 5, 0, 64 train_l, valid_l = k_fold(k, train_features, train_labels, num_epochs, lr, weight_decay, batch_size) print('%d-fold validation: avg train rmse %f, avg valid rmse %f' % (k, train_l, valid_l))
预测并提交结果
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14def train_and_pred(train_features, test_features, train_labels, test_data, num_epochs, lr, weight_decay, batch_size): net = get_net(train_features.shape[1]) train_ls, _ = train(net, train_features, train_labels, None, None, num_epochs, lr, weight_decay, batch_size) d2l.semilogy(range(1, num_epochs + 1), train_ls, 'epochs', 'rmse') print('train rmse %f' % train_ls[-1]) preds = net(test_features).detach().numpy() test_data['SalePrice'] = pd.Series(preds.reshape(1, -1)[0]) submission = pd.concat([test_data['Id'], test_data['SalePrice']], axis=1) submission.to_csv('./submission.csv', index=False) # sample_submission_data = pd.read_csv("../input/house-prices-advanced-regression-techniques/sample_submission.csv") train_and_pred(train_features, test_features, train_labels, test_data, num_epochs, lr, weight_decay, batch_size)
最后
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