3091 lines
1.3 MiB
Plaintext
3091 lines
1.3 MiB
Plaintext
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{
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"cells": [
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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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"ExecuteTime": {
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"end_time": "2023-05-06T08:51:38.202021Z",
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"start_time": "2023-05-06T08:51:32.964932Z"
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}
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},
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"outputs": [
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{
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"name": "stderr",
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"output_type": "stream",
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"text": [
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"E:\\Pycharm\\Anaconda3\\lib\\site-packages\\requests\\__init__.py:89: RequestsDependencyWarning: urllib3 (1.26.15) or chardet (3.0.4) doesn't match a supported version!\n",
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" warnings.warn(\"urllib3 ({}) or chardet ({}) doesn't match a supported \"\n"
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]
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}
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],
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"source": [
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"# 调用相关库\n",
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"import os # 导入os模块,用于操作系统功能,比如环境变量\n",
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"import math # 导入math模块,提供基本的数学功能\n",
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"import pandas as pd # 导入pandas模块,用于数据处理和分析\n",
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"from math import sqrt # 从math模块导入sqrt函数,用于计算平方根\n",
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"from numpy import concatenate # 从numpy模块导入concatenate函数,用于数组拼接\n",
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"import matplotlib.pyplot as plt # 导入matplotlib.pyplot模块,用于绘图\n",
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"import numpy as np # 导入numpy模块,用于数值计算\n",
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"import tensorflow as tf # 导入tensorflow模块,用于深度学习\n",
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"from sklearn.preprocessing import MinMaxScaler # 导入sklearn中的MinMaxScaler,用于特征缩放\n",
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"from sklearn.preprocessing import StandardScaler # 导入sklearn中的StandardScaler,用于特征标准化\n",
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"from sklearn.preprocessing import LabelEncoder # 导入sklearn中的LabelEncoder,用于标签编码\n",
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"from sklearn.metrics import mean_squared_error # 导入sklearn中的mean_squared_error,用于计算均方误差\n",
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"from tensorflow.keras.layers import * # 从tensorflow.keras.layers导入所有层,用于构建神经网络\n",
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"from tensorflow.keras.models import * # 从tensorflow.keras.models导入所有模型,用于构建和管理模型\n",
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"from sklearn.metrics import mean_squared_error, mean_absolute_error,r2_score # 导入额外的评估指标\n",
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"from pandas import DataFrame # 从pandas导入DataFrame,用于创建和操作数据表\n",
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"from pandas import concat # 从pandas导入concat函数,用于DataFrame的拼接\n",
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"import keras.backend as K # 导入keras的后端接口\n",
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"from scipy.io import savemat, loadmat # 从scipy.io导入savemat和loadmat,用于MATLAB文件的读写\n",
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"from sklearn.neural_network import MLPRegressor # 从sklearn.neural_network导入MLPRegressor,用于创建多层感知器回归模型\n",
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"from keras.callbacks import LearningRateScheduler # 从keras.callbacks导入LearningRateScheduler,用于调整学习率\n",
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"from tensorflow.keras import Input, Model, Sequential # 从tensorflow.keras导入Input, Model和Sequential,用于模型构建\n",
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"from keras.layers import Dense, Activation, Dropout, LSTM, LayerNormalization, Input\n",
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"# 从keras.layers模块导入多个层类。\n",
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"# Dense是全连接层,用于构建神经网络。\n",
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"# Activation是激活层,用于应用激活函数。\n",
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"# Dropout是丢弃层,用于减少过拟合。\n",
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"# LSTM是长短时记忆网络层,用于处理序列数据。\n",
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"# LayerNormalization是层归一化,用于标准化层的输出。\n",
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"# Input是输入层,用于定义模型输入的形状。\n",
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"from tensorflow.keras.models import Model\n",
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"# 从tensorflow.keras.models模块导入Model类。\n",
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"# Model是用于构建和训练深度学习模型的基类。\n",
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"from sklearn.model_selection import KFold\n",
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"# 从sklearn.model_selection模块导入KFold类。\n",
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"# KFold是一种交叉验证方法,用于评估模型的泛化能力。"
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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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"ExecuteTime": {
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"end_time": "2023-05-06T08:51:38.217931Z",
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"start_time": "2023-05-06T08:51:38.203021Z"
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}
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},
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"outputs": [],
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"source": [
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"# 构建时间序列特征集\n",
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"def series_to_supervised(data, n_in=1, n_out=1, dropnan=True):\n",
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" # 定义一个函数,将时间序列数据转换为监督学习数据格式\n",
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" n_vars = 1 if type(data) is list else data.shape[1]\n",
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" # 根据输入数据的类型(列表或其他)来决定变量的数量\n",
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" df = DataFrame(data)\n",
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" # 将数据转换为pandas DataFrame\n",
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" cols, names = list(), list()\n",
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" # 初始化两个列表,用于存储数据列和列名\n",
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"\n",
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" # input sequence (t-n, ... t-1)\n",
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" for i in range(n_in, 0, -1):\n",
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" # 创建输入序列\n",
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" cols.append(df.shift(i))\n",
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" # 将DataFrame向下移动i个单位,生成序列\n",
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" names += [('var%d(t-%d)' % (j + 1, i)) for j in range(n_vars)]\n",
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" # 生成列名,表示每个时刻的变量\n",
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"\n",
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" # forecast sequence (t, t+1, ... t+n)\n",
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" for i in range(0, n_out):\n",
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" # 创建输出序列(预测值)\n",
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" cols.append(df.shift(-i))\n",
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" # 将DataFrame向上移动i个单位,生成序列\n",
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" if i == 0:\n",
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" names += [('var%d(t)' % (j + 1)) for j in range(n_vars)]\n",
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" else:\n",
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" names += [('var%d(t+%d)' % (j + 1, i)) for j in range(n_vars)]\n",
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" # 生成列名,表示预测的未来时刻的变量\n",
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"\n",
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" # put it all together\n",
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" agg = concat(cols, axis=1)\n",
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" # 将所有生成的列合并成一个新的DataFrame\n",
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" agg.columns = names\n",
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" # 设置新DataFrame的列名\n",
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"\n",
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" # drop rows with NaN values\n",
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" if dropnan:\n",
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" agg.dropna(inplace=True)\n",
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" # 如果dropnan为真,则删除含有NaN的行\n",
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"\n",
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" return agg\n",
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" # 返回处理后的数据"
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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": 3,
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"metadata": {
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"ExecuteTime": {
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"end_time": "2023-05-06T08:51:40.590996Z",
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"start_time": "2023-05-06T08:51:38.219931Z"
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}
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},
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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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" imf0 imf1 imf2\n",
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"0 3531.751521 -191.760606 -97.465751\n",
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"1 3531.473729 -191.684118 -97.693419\n",
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"2 3531.227653 -191.210280 -97.722481\n",
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"3 3530.660421 -190.706280 -97.838212\n",
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"4 3529.466722 -190.488685 -98.200846\n",
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"... ... ... ...\n",
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"5401 1400.221164 -285.714281 -40.909098\n",
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"5402 1398.327887 -289.990072 -43.032448\n",
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"5403 1396.429155 -293.765904 -45.520341\n",
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"5404 1395.016313 -296.474920 -47.544327\n",
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"5405 1394.130730 -298.027741 -48.828768\n",
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"\n",
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"[5406 rows x 3 columns]\n"
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]
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}
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],
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"source": [
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"# 加载数据集\n",
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"dataset = pd.read_excel(\"VMD.xlsx\")\n",
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"print(dataset)"
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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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"### 最后一行vmd分解的数据少一行 删除最后一行数据"
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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": 4,
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"metadata": {
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"ExecuteTime": {
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|
"end_time": "2023-05-06T08:51:40.607000Z",
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"start_time": "2023-05-06T08:51:40.591997Z"
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}
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},
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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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|
" imf0 imf1 imf2\n",
|
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|
"0 3531.751521 -191.760606 -97.465751\n",
|
|||
|
"1 3531.473729 -191.684118 -97.693419\n",
|
|||
|
"2 3531.227653 -191.210280 -97.722481\n",
|
|||
|
"3 3530.660421 -190.706280 -97.838212\n",
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|||
|
"4 3529.466722 -190.488685 -98.200846\n",
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|||
|
"... ... ... ...\n",
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|||
|
"5401 1400.221164 -285.714281 -40.909098\n",
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|||
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"5402 1398.327887 -289.990072 -43.032448\n",
|
|||
|
"5403 1396.429155 -293.765904 -45.520341\n",
|
|||
|
"5404 1395.016313 -296.474920 -47.544327\n",
|
|||
|
"5405 1394.130730 -298.027741 -48.828768\n",
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"\n",
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"[5406 rows x 3 columns]\n"
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]
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|
}
|
|||
|
],
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"source": [
|
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"dataset=dataset.dropna()#直接删除含有缺失值的行\n",
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"print(dataset)"
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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": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T08:51:40.623003Z",
|
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|
"start_time": "2023-05-06T08:51:40.608000Z"
|
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|
}
|
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},
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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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" 0 1 2 3 4 \\\n",
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|
"imf0 3531.751521 3531.473729 3531.227653 3530.660421 3529.466722 \n",
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|||
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"imf1 -191.760606 -191.684118 -191.210280 -190.706280 -190.488685 \n",
|
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"imf2 -97.465751 -97.693419 -97.722481 -97.838212 -98.200846 \n",
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"\n",
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" 5 6 7 8 9 ... \\\n",
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"imf0 3527.299925 3525.499968 3524.157672 3522.674701 3520.788146 ... \n",
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"imf1 -190.884944 -190.458168 -189.068413 -187.310603 -185.418466 ... \n",
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"imf2 -98.811120 -97.600851 -93.964879 -88.228244 -80.318451 ... \n",
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"\n",
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" 5396 5397 5398 5399 5400 \\\n",
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"imf0 1402.198237 1401.787920 1401.785531 1401.852845 1401.488442 \n",
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"imf1 -265.490849 -270.460561 -274.530030 -278.073661 -281.637131 \n",
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"imf2 -44.490206 -43.928264 -42.449575 -40.843035 -40.071165 \n",
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"\n",
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|||
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" 5401 5402 5403 5404 5405 \n",
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"imf0 1400.221164 1398.327887 1396.429155 1395.016313 1394.130730 \n",
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"imf1 -285.714281 -289.990072 -293.765904 -296.474920 -298.027741 \n",
|
|||
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"imf2 -40.909098 -43.032448 -45.520341 -47.544327 -48.828768 \n",
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"\n",
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"[3 rows x 5406 columns]\n"
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]
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|||
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}
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|||
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],
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"source": [
|
|||
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"dataset=dataset.T #转置\n",
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|||
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"print(dataset)"
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]
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|||
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},
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{
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|||
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"cell_type": "code",
|
|||
|
"execution_count": 6,
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|||
|
"metadata": {
|
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|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T08:51:40.639006Z",
|
|||
|
"start_time": "2023-05-06T08:51:40.624003Z"
|
|||
|
}
|
|||
|
},
|
|||
|
"outputs": [],
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|||
|
"source": [
|
|||
|
"u = dataset.values\n",
|
|||
|
"# 'dataset' 是一个Pandas DataFrame。\n",
|
|||
|
"# '.values' 属性用于提取DataFrame中的数据,并将其转换为一个NumPy数组。\n",
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|||
|
"# 这个数组被赋值给变量 'u'。"
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]
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|||
|
},
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|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 7,
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|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T08:51:41.316894Z",
|
|||
|
"start_time": "2023-05-06T08:51:41.273884Z"
|
|||
|
}
|
|||
|
},
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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": [
|
|||
|
" 发布日期 收盘指数 开盘指数 最高指数 最低指数 成交量(亿股) 成交额(亿元) \\\n",
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|||
|
"0 2022/5/20 0:00 3259.34 3223.16 3267.41 3220.70 25.14 243.93 \n",
|
|||
|
"1 2022/5/19 0:00 3234.45 3211.60 3265.00 3208.24 25.61 254.88 \n",
|
|||
|
"2 2022/5/18 0:00 3262.52 3255.59 3280.32 3245.07 21.21 204.77 \n",
|
|||
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"3 2022/5/17 0:00 3267.97 3301.25 3301.25 3255.96 26.54 268.17 \n",
|
|||
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"4 2022/5/16 0:00 3305.64 3241.51 3311.60 3221.92 30.75 301.98 \n",
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|
"... ... ... ... ... ... ... ... \n",
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"5401 2000/1/7 0:00 1106.19 1076.06 1117.71 1058.83 0.65 8.75 \n",
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|
"5402 2000/1/6 0:00 1065.67 1025.38 1070.79 1011.00 0.30 4.21 \n",
|
|||
|
"5403 2000/1/5 0:00 1028.87 1035.47 1057.85 1013.07 0.25 2.90 \n",
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|
"5404 2000/1/4 0:00 1027.66 1001.98 1035.36 985.47 0.14 1.83 \n",
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"5405 1999/12/30 0:00 1000.00 1000.00 1000.00 1000.00 0.10 1.24 \n",
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"\n",
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" 涨跌幅(%) \n",
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"0 0.77 \n",
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"1 -0.86 \n",
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"2 -0.17 \n",
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"3 -1.14 \n",
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"4 3.09 \n",
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|
"... ... \n",
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"5401 3.80 \n",
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"5402 3.58 \n",
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"5403 0.12 \n",
|
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"5404 2.77 \n",
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"5405 0.00 \n",
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"\n",
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"[5406 rows x 8 columns]\n"
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]
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|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"dataset1=pd.read_csv(\"农林牧渔.csv\", encoding='gbk')\n",
|
|||
|
"# 使用pandas模块的read_csv函数读取名为\"农林牧渔.csv\"的文件。\n",
|
|||
|
"# 参数'encoding'设置为'gbk',这通常用于读取中文字符,确保文件中的中文字符能够正确读取。\n",
|
|||
|
"# 读取的数据被存储在名为'dataset'的DataFrame变量中。\n",
|
|||
|
"print(dataset1)"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 8,
|
|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T08:51:41.977920Z",
|
|||
|
"start_time": "2023-05-06T08:51:41.957915Z"
|
|||
|
}
|
|||
|
},
|
|||
|
"outputs": [],
|
|||
|
"source": [
|
|||
|
"data=dataset1.values[:,2:] #加载特征数据"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 9,
|
|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T08:51:43.651020Z",
|
|||
|
"start_time": "2023-05-06T08:51:43.639017Z"
|
|||
|
}
|
|||
|
},
|
|||
|
"outputs": [],
|
|||
|
"source": [
|
|||
|
"from tensorflow.keras.regularizers import l2\n",
|
|||
|
"# 从tensorflow.keras.regularizers导入l2,用于应用L2正则化。\n",
|
|||
|
"\n",
|
|||
|
"def implement_lstm(train_X, train_y, l2_penalty=0.01):\n",
|
|||
|
" # 定义implement_lstm函数,接收训练数据train_X, train_y和L2正则化系数l2_penalty。\n",
|
|||
|
"\n",
|
|||
|
" inputs = Input(shape=(train_X.shape[1], train_X.shape[2]))\n",
|
|||
|
" # 创建模型的输入层,指定输入数据的形状。\n",
|
|||
|
" # train_X.shape[1]是时间步长,train_X.shape[2]是特征数量。\n",
|
|||
|
"\n",
|
|||
|
" lstm = LSTM(128, activation='selu', return_sequences=False, kernel_regularizer=l2(l2_penalty))(inputs)\n",
|
|||
|
" # 添加一个LSTM层,设置128个神经元,激活函数为selu。\n",
|
|||
|
" # return_sequences=False意味着LSTM层输出的是最后一个时间步的输出。\n",
|
|||
|
" # kernel_regularizer=l2(l2_penalty)应用L2正则化以防止过拟合。\n",
|
|||
|
"\n",
|
|||
|
" outputs = Dense(train_y.shape[1])(lstm)\n",
|
|||
|
" # 添加一个全连接层,神经元数量与train_y的特征数相同。\n",
|
|||
|
"\n",
|
|||
|
" model = Model(inputs=inputs, outputs=outputs)\n",
|
|||
|
" # 创建一个模型,指定输入和输出层。\n",
|
|||
|
"\n",
|
|||
|
" model.compile(loss='mse', optimizer='adam')\n",
|
|||
|
" # 编译模型,使用均方误差作为损失函数,优化器为Adam。\n",
|
|||
|
"\n",
|
|||
|
" model.summary()\n",
|
|||
|
" # 打印模型摘要信息。\n",
|
|||
|
"\n",
|
|||
|
" return model\n",
|
|||
|
" # 返回构建的模型。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 10,
|
|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T09:10:19.140111Z",
|
|||
|
"start_time": "2023-05-06T08:57:29.814911Z"
|
|||
|
},
|
|||
|
"scrolled": true
|
|||
|
},
|
|||
|
"outputs": [
|
|||
|
{
|
|||
|
"name": "stdout",
|
|||
|
"output_type": "stream",
|
|||
|
"text": [
|
|||
|
"WARNING:tensorflow:Layer lstm will not use cuDNN kernels since it doesn't meet the criteria. It will use a generic GPU kernel as fallback when running on GPU.\n",
|
|||
|
"Model: \"model\"\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
" Layer (type) Output Shape Param # \n",
|
|||
|
"=================================================================\n",
|
|||
|
" input_1 (InputLayer) [(None, 12, 7)] 0 \n",
|
|||
|
" \n",
|
|||
|
" lstm (LSTM) (None, 128) 69632 \n",
|
|||
|
" \n",
|
|||
|
" dense (Dense) (None, 6) 774 \n",
|
|||
|
" \n",
|
|||
|
"=================================================================\n",
|
|||
|
"Total params: 70,406\n",
|
|||
|
"Trainable params: 70,406\n",
|
|||
|
"Non-trainable params: 0\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
"Epoch 1/10\n",
|
|||
|
"102/102 - 3s - loss: 0.1276 - val_loss: 0.1220 - 3s/epoch - 28ms/step\n",
|
|||
|
"Epoch 2/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0329 - val_loss: 0.0596 - 2s/epoch - 15ms/step\n",
|
|||
|
"Epoch 3/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0185 - val_loss: 0.0471 - 2s/epoch - 17ms/step\n",
|
|||
|
"Epoch 4/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0122 - val_loss: 0.0517 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 5/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0088 - val_loss: 0.0394 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 6/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0068 - val_loss: 0.0214 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 7/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0052 - val_loss: 0.0115 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 8/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0062 - val_loss: 0.0169 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 9/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0033 - val_loss: 0.0255 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 10/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0028 - val_loss: 0.0190 - 2s/epoch - 20ms/step\n",
|
|||
|
"WARNING:tensorflow:Layer lstm_1 will not use cuDNN kernels since it doesn't meet the criteria. It will use a generic GPU kernel as fallback when running on GPU.\n",
|
|||
|
"Model: \"model_1\"\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
" Layer (type) Output Shape Param # \n",
|
|||
|
"=================================================================\n",
|
|||
|
" input_2 (InputLayer) [(None, 12, 7)] 0 \n",
|
|||
|
" \n",
|
|||
|
" lstm_1 (LSTM) (None, 128) 69632 \n",
|
|||
|
" \n",
|
|||
|
" dense_1 (Dense) (None, 6) 774 \n",
|
|||
|
" \n",
|
|||
|
"=================================================================\n",
|
|||
|
"Total params: 70,406\n",
|
|||
|
"Trainable params: 70,406\n",
|
|||
|
"Non-trainable params: 0\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
"Epoch 1/10\n",
|
|||
|
"102/102 - 3s - loss: 0.2488 - val_loss: 0.1620 - 3s/epoch - 26ms/step\n",
|
|||
|
"Epoch 2/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1540 - val_loss: 0.1237 - 2s/epoch - 18ms/step\n",
|
|||
|
"Epoch 3/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0904 - val_loss: 0.1235 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 4/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0668 - val_loss: 0.1164 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 5/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0668 - val_loss: 0.0550 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 6/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0398 - val_loss: 0.0575 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 7/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0293 - val_loss: 0.0422 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 8/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0243 - val_loss: 0.0571 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 9/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0333 - val_loss: 0.0363 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 10/10\n",
|
|||
|
"102/102 - 2s - loss: 0.0215 - val_loss: 0.0484 - 2s/epoch - 19ms/step\n",
|
|||
|
"WARNING:tensorflow:Layer lstm_2 will not use cuDNN kernels since it doesn't meet the criteria. It will use a generic GPU kernel as fallback when running on GPU.\n",
|
|||
|
"Model: \"model_2\"\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
" Layer (type) Output Shape Param # \n",
|
|||
|
"=================================================================\n",
|
|||
|
" input_3 (InputLayer) [(None, 12, 7)] 0 \n",
|
|||
|
" \n",
|
|||
|
" lstm_2 (LSTM) (None, 128) 69632 \n",
|
|||
|
" \n",
|
|||
|
" dense_2 (Dense) (None, 6) 774 \n",
|
|||
|
" \n",
|
|||
|
"=================================================================\n",
|
|||
|
"Total params: 70,406\n",
|
|||
|
"Trainable params: 70,406\n",
|
|||
|
"Non-trainable params: 0\n",
|
|||
|
"_________________________________________________________________\n",
|
|||
|
"Epoch 1/10\n",
|
|||
|
"102/102 - 3s - loss: 0.5086 - val_loss: 0.2938 - 3s/epoch - 26ms/step\n",
|
|||
|
"Epoch 2/10\n",
|
|||
|
"102/102 - 2s - loss: 0.2868 - val_loss: 0.2285 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 3/10\n",
|
|||
|
"102/102 - 2s - loss: 0.2504 - val_loss: 0.2616 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 4/10\n",
|
|||
|
"102/102 - 2s - loss: 0.2013 - val_loss: 0.1862 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 5/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1923 - val_loss: 0.1663 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 6/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1521 - val_loss: 0.2175 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 7/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1343 - val_loss: 0.1691 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 8/10\n",
|
|||
|
"102/102 - 2s - loss: 0.2005 - val_loss: 0.1381 - 2s/epoch - 20ms/step\n",
|
|||
|
"Epoch 9/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1288 - val_loss: 0.0888 - 2s/epoch - 19ms/step\n",
|
|||
|
"Epoch 10/10\n",
|
|||
|
"102/102 - 2s - loss: 0.1090 - val_loss: 0.0794 - 2s/epoch - 20ms/step\n"
|
|||
|
]
|
|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"prediction_test = []\n",
|
|||
|
"actual_test = []\n",
|
|||
|
"# 初始化两个空列表,用于存储后续的预测值和实际值。\n",
|
|||
|
"\n",
|
|||
|
"for imf in u:\n",
|
|||
|
" # 遍历u中的每个内在模态函数(IMF)。\n",
|
|||
|
"\n",
|
|||
|
" imf = imf.reshape(-1, 1)\n",
|
|||
|
" # 将当前的IMF重塑为二维数组,以便进行后续操作。\n",
|
|||
|
"\n",
|
|||
|
" imf = pd.DataFrame(imf)\n",
|
|||
|
" # 将重塑后的IMF转换为pandas DataFrame。\n",
|
|||
|
"\n",
|
|||
|
" data_1 = pd.DataFrame(data)\n",
|
|||
|
" # 将其他特征(假设存储在变量data中)转换为pandas DataFrame。\n",
|
|||
|
"\n",
|
|||
|
" data_ = pd.concat((imf, data_1), axis=1)\n",
|
|||
|
" # 将IMF和其他特征合并为一个DataFrame,IMF作为新的列添加到data_1的前面。\n",
|
|||
|
"\n",
|
|||
|
" data_ = data_.values\n",
|
|||
|
" # 将合并后的DataFrame转换为NumPy数组,以进行后续的数值操作。\n",
|
|||
|
"\n",
|
|||
|
" data_ = data_.astype('float32')\n",
|
|||
|
" # 将数组中的数据类型转换为float32,这是为了确保数据类型的一致性,特别是在进行深度学习或其他数值计算时。\n",
|
|||
|
"\n",
|
|||
|
" \n",
|
|||
|
" # 构建成监督学习问题\n",
|
|||
|
" n_in=12 #输入步数\n",
|
|||
|
" n_out=6 #输出步数\n",
|
|||
|
" n_vars=data_.shape[1]# 获取values数组的列数,即变量的数量。\n",
|
|||
|
" # 构建成监督学习问题\n",
|
|||
|
" reframed = series_to_supervised(data_, n_in, n_out) \n",
|
|||
|
"# 使用series_to_supervised函数将数据转换为监督学习格式。\n",
|
|||
|
"# values是要转换的数据,n_in是输入序列的长度,n_out是输出序列的长度。\n",
|
|||
|
"# 此函数返回一个新的DataFrame,其中包含用于训练监督学习模型所需的输入和输出数据。\n",
|
|||
|
"\n",
|
|||
|
" # 取出保留的变量\n",
|
|||
|
" contain_vars = []\n",
|
|||
|
"# 初始化一个空列表,用于存储需要保留的列名。\n",
|
|||
|
"\n",
|
|||
|
" for i in range(1, n_in+1):\n",
|
|||
|
" contain_vars += [('var%d(t-%d)' % (j, i)) for j in range(1, n_vars+1)]\n",
|
|||
|
" # 遍历从1到n_in的数字,每次迭代都会生成一组列名。\n",
|
|||
|
" # 这些列名表示过去n_in个时间步的每个变量(比如var1(t-1), var2(t-1), ..., var1(t-n_in), var2(t-n_in)等)。\n",
|
|||
|
"\n",
|
|||
|
" data3 = reframed[contain_vars + ['var1(t)'] + [('var1(t+%d)' % (j)) for j in range(1, n_out)]]\n",
|
|||
|
"# 从reframed数据框中提取特定的列。\n",
|
|||
|
"# 'contain_vars'包含了输入序列需要的所有列。\n",
|
|||
|
"# ['var1(t)'] 是当前时间步的第一个变量。\n",
|
|||
|
"# [('var1(t+%d)' % (j)) for j in range(1, n_out)] 生成了输出序列的列名,即预测未来n_out-1个时间步的第一个变量。\n",
|
|||
|
" values = data3.values# 将前面处理好的数据转换成numpy数组,方便后续的数据操作\n",
|
|||
|
" n_train_hours = int(values.shape[0]*0.8) # 80%训练集\n",
|
|||
|
" train = values[:n_train_hours, :] # 从values数组中取出前n_train_hours行作为训练集。\n",
|
|||
|
" test = values[n_train_hours:, :] # 从values数组中取出剩下的行作为测试集。\n",
|
|||
|
" # 归一化\n",
|
|||
|
" scaler = StandardScaler()\n",
|
|||
|
" train = scaler.fit_transform(train)# 对训练集数据进行标准化\n",
|
|||
|
" test = scaler.fit_transform(test)# 对测试集数据进行标准化。\n",
|
|||
|
" # 把数据分为输入和输出\n",
|
|||
|
" train_X, train_y = train[:, :n_in*n_vars], train[:, n_in*n_vars:]\n",
|
|||
|
" test_X, test_y = test[:, :n_in*n_vars], test[:, n_in*n_vars:]\n",
|
|||
|
" # 把输入重塑成3D格式 [样例,时间步, 特征]\n",
|
|||
|
" train_X = train_X.reshape((train_X.shape[0], n_in, n_vars))\n",
|
|||
|
" test_X = test_X.reshape((test_X.shape[0],n_in, n_vars))\n",
|
|||
|
" def scheduler(epoch): # 定义一个学习率调度器,根据epoch调整学习率。\n",
|
|||
|
" # 如果当前epoch是10的倍数且不为0,则调整学习率\n",
|
|||
|
" if epoch % 10 == 0 and epoch != 0:\n",
|
|||
|
" lr = K.get_value(tmp.optimizer.lr)# 获取当前的学习率\n",
|
|||
|
" K.set_value(tmp.optimizer.lr, lr * 0.5)# 将学习率设置为当前值的一半\n",
|
|||
|
" print(\"lr changed to {}\".format(lr * 0.5))# 打印新的学习率值\n",
|
|||
|
" return K.get_value(tmp.optimizer.lr)# 返回新的学习率值\n",
|
|||
|
" reduce_lr = LearningRateScheduler(scheduler)# 创建一个学习率调度器对象,将上面定义的scheduler函数作为参数\n",
|
|||
|
" tmp = implement_lstm(train_X, train_y)# 使用implement_lstm函数构建LSTM模型\n",
|
|||
|
" kf = KFold(n_splits=4)# 创建一个KFold对象,用于交叉验证,分为4个部分\n",
|
|||
|
" history = tmp.fit(train_X, train_y, batch_size=32, epochs=10, validation_split=0.25, verbose=2)\n",
|
|||
|
"# 训练模型,使用指定的批大小、epoch数、验证集比例和详细程度\n",
|
|||
|
" # 作出预测\n",
|
|||
|
" yhat = tmp.predict(test_X)# 使用训练好的模型对测试集进行预测\n",
|
|||
|
" yhat=yhat.reshape(-1,1)# 重塑预测结果为二维数组\n",
|
|||
|
"# 反向缩放预测值 测试集\n",
|
|||
|
" yhat = np.repeat(yhat, n_in * n_vars + n_out, axis=-1)\n",
|
|||
|
"# 重复扩展预测值数组,以匹配逆变换的维度要求。\n",
|
|||
|
" inv_yhat = scaler.inverse_transform(np.reshape(yhat, (len(yhat), n_in * n_vars + n_out)))[:,0]\n",
|
|||
|
"# 使用之前的缩放器对象进行逆变换,恢复预测值到原始尺度。\n",
|
|||
|
" inv_yhat = inv_yhat.reshape(-1, n_out)\n",
|
|||
|
"# 重塑预测结果。\n",
|
|||
|
"\n",
|
|||
|
" prediction_test.append(inv_yhat)\n",
|
|||
|
"# 将逆变换后的预测值添加到prediction_test列表。\n",
|
|||
|
"\n",
|
|||
|
"# 反向缩放实际值 测试集\n",
|
|||
|
" test_y = test_y.reshape(-1,1)\n",
|
|||
|
"# 重塑测试集的目标值为二维数组。\n",
|
|||
|
" y = np.repeat(test_y, n_in * n_vars + n_out, axis=-1)\n",
|
|||
|
"# 重复扩展测试集目标值数组,以匹配逆变换的维度要求。\n",
|
|||
|
" inv_y = scaler.inverse_transform(np.reshape(y, (len(test_y), n_in * n_vars + n_out)))[:,0]\n",
|
|||
|
"# 使用之前的缩放器对象进行逆变换,恢复实际值到原始尺度。\n",
|
|||
|
" inv_y = inv_y.reshape(-1, n_out)\n",
|
|||
|
"# 重塑实际结果。\n",
|
|||
|
"\n",
|
|||
|
" actual_test.append(inv_y)\n",
|
|||
|
"# 将逆变换后的实际值添加到actual_test列表。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 11,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [
|
|||
|
{
|
|||
|
"name": "stdout",
|
|||
|
"output_type": "stream",
|
|||
|
"text": [
|
|||
|
"[array([623.65045, 618.6924 , 603.57495, 614.0135 , 604.22705, 621.57104],\n",
|
|||
|
" dtype=float32), array([625.2488 , 619.08453, 605.4806 , 616.36816, 608.02045, 624.40753],\n",
|
|||
|
" dtype=float32), array([633.2138 , 627.0779 , 615.2496 , 625.77216, 617.76245, 633.55927],\n",
|
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|
" dtype=float32), array([636.1861 , 630.284 , 619.28485, 629.82544, 622.0204 , 637.3502 ],\n",
|
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|
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|
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|
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|
|||
|
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|
|||
|
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|
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|
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|
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|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
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|
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|
|||
|
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|
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|
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|
|||
|
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|
|||
|
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|
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|
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|
|||
|
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|
|||
|
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|
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|
|||
|
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|
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|
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|||
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|
|||
|
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|
|||
|
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|
|||
|
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|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
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|||
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|||
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
" dtype=float32), array([742.5786 , 749.58203, 736.69275, 748.3386 , 737.7694 , 751.4996 ],\n",
|
|||
|
" dtype=float32), array([748.1776 , 755.5386 , 741.2965 , 752.73615, 740.20984, 753.3061 ],\n",
|
|||
|
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|
|||
|
" dtype=float32), array([748.5553 , 754.40576, 739.096 , 744.6117 , 730.618 , 742.1785 ],\n",
|
|||
|
" dtype=float32), array([751.84515, 759.0537 , 740.72003, 743.97 , 727.64844, 737.48267],\n",
|
|||
|
" dtype=float32), array([754.3226, 760.5805, 743.0433, 740.1709, 722.736 , 731.4394],\n",
|
|||
|
" dtype=float32), array([759.0515 , 765.7077 , 747.29504, 741.6952 , 724.0477 , 731.908 ],\n",
|
|||
|
" dtype=float32), array([758.4683 , 765.28687, 747.8231 , 738.57733, 720.3308 , 727.62244],\n",
|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
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|
|||
|
" dtype=float32), array([757.4665 , 764.55554, 738.5043 , 715.44653, 700.5221 , 709.08716],\n",
|
|||
|
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|
|||
|
" dtype=float32), array([763.5315 , 772.17426, 748.10803, 728.63654, 715.6052 , 724.92 ],\n",
|
|||
|
" dtype=float32), array([767.4251 , 777.1621 , 753.9901 , 737.1577 , 724.072 , 732.62225],\n",
|
|||
|
" dtype=float32), array([766.8934 , 773.8264 , 751.09375, 738.2992 , 726.15643, 737.389 ],\n",
|
|||
|
" dtype=float32), array([764.67377, 768.6211 , 747.7047 , 737.7364 , 725.1804 , 740.6087 ],\n",
|
|||
|
" dtype=float32), array([760.8852 , 763.42444, 742.20776, 735.65955, 720.21576, 735.903 ],\n",
|
|||
|
" dtype=float32), array([756.7726 , 757.0355 , 735.8025 , 731.2643 , 713.95856, 731.88104],\n",
|
|||
|
" dtype=float32), array([750.3554 , 751.9164 , 727.2225 , 723.16565, 703.58344, 721.52747],\n",
|
|||
|
" dtype=float32), array([740.0461, 742.6541, 716.269 , 710.8647, 690.959 , 707.6314],\n",
|
|||
|
" dtype=float32), array([730.5083 , 733.87695, 706.54755, 699.91705, 678.12946, 691.9137 ],\n",
|
|||
|
" dtype=float32), array([726.5651 , 732.63666, 705.51733, 697.27 , 674.07855, 683.60394],\n",
|
|||
|
" dtype=float32), array([722.51306, 730.1307 , 703.6511 , 693.8948 , 670.9812 , 679.3787 ],\n",
|
|||
|
" dtype=float32), array([715.70483, 723.828 , 698.10944, 687.30426, 665.7912 , 673.48505],\n",
|
|||
|
" dtype=float32), array([721.716 , 729.67004, 707.35657, 696.0589 , 678.0661 , 688.11914],\n",
|
|||
|
" dtype=float32), array([723.1698 , 730.876 , 709.45416, 699.955 , 683.57996, 695.2215 ],\n",
|
|||
|
" dtype=float32), array([721.6532 , 728.28143, 709.36176, 701.9152 , 687.64044, 702.2433 ],\n",
|
|||
|
" dtype=float32), array([729.039 , 735.14264, 718.866 , 712.88885, 700.52106, 716.4159 ],\n",
|
|||
|
" dtype=float32), array([739.4916 , 747.2386 , 730.4318 , 724.78186, 712.1654 , 726.9943 ],\n",
|
|||
|
" dtype=float32), array([720.47687, 727.87317, 704.8827 , 698.66315, 680.1756 , 694.5105 ],\n",
|
|||
|
" dtype=float32), array([702.9074 , 708.28876, 683.15515, 675.1121 , 654.9309 , 671.177 ],\n",
|
|||
|
" dtype=float32), array([701.0305 , 704.9739 , 681.9534 , 670.08984, 649.9905 , 667.8863 ],\n",
|
|||
|
" dtype=float32), array([671.8991 , 677.104 , 655.00586, 637.4979 , 611.3369 , 624.893 ],\n",
|
|||
|
" dtype=float32), array([667.228 , 672.3817 , 654.433 , 633.82526, 609.2495 , 621.50854],\n",
|
|||
|
" dtype=float32), array([673.20844, 680.54675, 664.9344 , 642.17487, 621.8632 , 633.02655],\n",
|
|||
|
" dtype=float32), array([689.56506, 700.95776, 688.32446, 665.4637 , 649.23346, 657.09515],\n",
|
|||
|
" dtype=float32), array([707.9552 , 721.5651 , 711.3583 , 690.6652 , 675.4269 , 683.15106],\n",
|
|||
|
" dtype=float32), array([721.35626, 738.3297 , 727.8788 , 707.9597 , 692.6556 , 699.4242 ],\n",
|
|||
|
" dtype=float32), array([731.49194, 748.0006 , 736.23303, 714.8578 , 701.9549 , 711.15845],\n",
|
|||
|
" dtype=float32), array([730.2049 , 745.0625 , 733.03577, 709.7881 , 698.2404 , 712.1883 ],\n",
|
|||
|
" dtype=float32), array([731.0217 , 740.2459 , 731.16046, 704.55084, 691.51685, 711.7205 ],\n",
|
|||
|
" dtype=float32), array([725.8391 , 734.9159 , 723.96313, 697.5234 , 681.61847, 698.7581 ],\n",
|
|||
|
" dtype=float32), array([719.2811 , 725.3314 , 715.63464, 686.9272 , 671.64667, 691.74945],\n",
|
|||
|
" dtype=float32), array([719.15625, 719.6378 , 715.0158 , 684.2775 , 667.28253, 690.9159 ],\n",
|
|||
|
" dtype=float32), array([725.88214, 733.1672 , 723.3994 , 696.2908 , 678.5008 , 691.36096],\n",
|
|||
|
" dtype=float32), array([717.46857, 728.23456, 714.8287 , 687.07513, 669.73285, 679.9459 ],\n",
|
|||
|
" dtype=float32), array([712.5177 , 723.83356, 708.35516, 682.4493 , 666.9248 , 678.72363],\n",
|
|||
|
" dtype=float32), array([706.19574, 717.8623 , 701.3561 , 675.3205 , 660.50867, 674.2669 ],\n",
|
|||
|
" dtype=float32), array([689.90125, 702.01917, 683.8686 , 656.2791 , 641.7699 , 657.42365],\n",
|
|||
|
" dtype=float32), array([686.88104, 700.5094 , 681.7859 , 652.33234, 635.2377 , 651.82513],\n",
|
|||
|
" dtype=float32), array([670.03796, 687.1519 , 663.6505 , 633.74036, 614.8325 , 629.34766],\n",
|
|||
|
" dtype=float32), array([656.4051 , 677.4119 , 649.44836, 619.78204, 600.9086 , 618.0568 ],\n",
|
|||
|
" dtype=float32), array([653.0275 , 675.3321 , 648.0614 , 618.4211 , 600.85785, 621.02997],\n",
|
|||
|
" dtype=float32), array([644.0571 , 668.7416 , 639.76697, 611.03345, 594.81964, 616.0592 ],\n",
|
|||
|
" dtype=float32), array([646.2879 , 673.01807, 645.0694 , 619.0498 , 605.77374, 627.7552 ],\n",
|
|||
|
" dtype=float32), array([644.90106, 670.9894 , 646.51764, 619.4088 , 610.97046, 637.07074],\n",
|
|||
|
" dtype=float32), array([648.5912 , 673.59937, 652.6412 , 625.03156, 619.114 , 645.6451 ],\n",
|
|||
|
" dtype=float32), array([648.0746, 671.5329, 652.3246, 627.3826, 624.1181, 651.267 ],\n",
|
|||
|
" dtype=float32), array([645.0278 , 665.9512 , 648.524 , 625.2113 , 625.06256, 654.862 ],\n",
|
|||
|
" dtype=float32), array([642.87225, 660.05023, 644.05145, 623.27405, 625.7088 , 659.10785],\n",
|
|||
|
" dtype=float32), array([641.43024, 651.97644, 639.6022 , 622.1349 , 626.7802 , 665.24133],\n",
|
|||
|
" dtype=float32), array([645.4925 , 653.3907 , 643.85504, 629.70166, 630.82153, 670.92096],\n",
|
|||
|
" dtype=float32), array([638.5191 , 645.6207 , 634.40625, 625.71265, 622.8396 , 662.37054],\n",
|
|||
|
" dtype=float32), array([636.83484, 642.9396 , 632.4533 , 627.90735, 622.9282 , 660.78796],\n",
|
|||
|
" dtype=float32), array([636.52094, 640.83203, 632.84283, 629.3366 , 623.81775, 664.98694],\n",
|
|||
|
" dtype=float32), array([636.49274, 640.6811 , 634.143 , 633.6701 , 626.73285, 664.3103 ],\n",
|
|||
|
" dtype=float32), array([638.4328 , 644.01074, 637.74133, 638.42065, 630.77167, 662.7641 ],\n",
|
|||
|
" dtype=float32), array([642.9511, 648.4389, 643.1614, 643.8521, 638.3999, 671.2197],\n",
|
|||
|
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" dtype=float32), array([1680.6617, 1694.8223, 1694.9049, 1687.9149, 1685.9045, 1683.517 ],\n",
|
|||
|
" dtype=float32), array([1683.6948, 1696.4366, 1698.7637, 1692.7192, 1691.876 , 1691.3717],\n",
|
|||
|
" dtype=float32), array([1681.5433, 1692.9868, 1695.1807, 1687.7004, 1686.2288, 1684.6255],\n",
|
|||
|
" dtype=float32), array([1668.0225, 1679.1846, 1680.5076, 1670.4882, 1668.514 , 1665.3871],\n",
|
|||
|
" dtype=float32), array([1664.6815, 1674.8829, 1675.2758, 1664.0104, 1661.2074, 1655.8169],\n",
|
|||
|
" dtype=float32), array([1660.286 , 1667.7693, 1669.891 , 1657.9885, 1655.723 , 1651.0312],\n",
|
|||
|
" dtype=float32), array([1656.9979, 1662.3839, 1667.4462, 1656.5527, 1655.1415, 1652.7762],\n",
|
|||
|
" dtype=float32), array([1651.0978, 1658.3723, 1659.527 , 1646.9293, 1645.2092, 1640.0381],\n",
|
|||
|
" dtype=float32), array([1649.2087, 1655.8217, 1655.1394, 1642.1978, 1640.3995, 1633.8855],\n",
|
|||
|
" dtype=float32), array([1635.2214, 1638.4576, 1636.7844, 1623.2627, 1621.6671, 1613.5365],\n",
|
|||
|
" dtype=float32), array([1620.4705, 1621.9049, 1617.6052, 1603.7689, 1600.2678, 1590.0424],\n",
|
|||
|
" dtype=float32), array([1605.7477, 1606.3751, 1601.7831, 1587.8169, 1582.9688, 1573.2823],\n",
|
|||
|
" dtype=float32), array([1606.0875, 1607.7473, 1606.5734, 1593.4944, 1588.5117, 1581.246 ],\n",
|
|||
|
" dtype=float32), array([1607.3972, 1610.8217, 1610.3302, 1597.6721, 1591.9755, 1585.5312],\n",
|
|||
|
" dtype=float32), array([1585.8586, 1590.4838, 1585.2825, 1572.659 , 1566.3135, 1558.5093],\n",
|
|||
|
" dtype=float32), array([1580.5813, 1583.7948, 1582.5526, 1571.7551, 1566.1836, 1562.5715],\n",
|
|||
|
" dtype=float32), array([1576.7788, 1579.697 , 1582.593 , 1573.8079, 1569.5764, 1570.2567],\n",
|
|||
|
" dtype=float32), array([1577.9669, 1582.9208, 1590.3948, 1584.4336, 1580.6139, 1584.0431],\n",
|
|||
|
" dtype=float32), array([1582.3367, 1594.0704, 1595.1824, 1593.076 , 1589.4756, 1591.4921],\n",
|
|||
|
" dtype=float32), array([1594.127 , 1610.4758, 1611.4377, 1614.0632, 1611.2295, 1614.355 ],\n",
|
|||
|
" dtype=float32), array([1598.5872, 1621.409 , 1616.7161, 1621.3047, 1617.7593, 1619.9873],\n",
|
|||
|
" dtype=float32), array([1607.6498, 1632.7917, 1626.0381, 1632.8938, 1630.239 , 1631.2693],\n",
|
|||
|
" dtype=float32), array([1623.7666, 1650.6296, 1645.9292, 1655.3821, 1655.7078, 1655.385 ],\n",
|
|||
|
" dtype=float32), array([1633.2784, 1658.3177, 1659.7167, 1669.0217, 1669.8286, 1668.5167],\n",
|
|||
|
" dtype=float32), array([1639.6182, 1664.1924, 1664.7755, 1671.2151, 1671.051 , 1666.5503],\n",
|
|||
|
" dtype=float32), array([1634.1029, 1655.6145, 1653.4681, 1654.9425, 1655.8453, 1648.8356],\n",
|
|||
|
" dtype=float32), array([1627.3184, 1642.0033, 1647.6715, 1646.3615, 1650.5728, 1645.0707],\n",
|
|||
|
" dtype=float32), array([1629.2 , 1640.8672, 1648.119 , 1645.6345, 1650.639 , 1645.4921],\n",
|
|||
|
" dtype=float32), array([1629.65 , 1638.9 , 1646.8203, 1644.0739, 1649.1144, 1643.4502],\n",
|
|||
|
" dtype=float32), array([1627.055 , 1634.3921, 1641.8735, 1638.6063, 1642.5708, 1636.3596],\n",
|
|||
|
" dtype=float32), array([1630.8317, 1637.6925, 1644.4137, 1642.0975, 1644.6664, 1637.4253],\n",
|
|||
|
" dtype=float32), array([1624.2028, 1631.3765, 1636.4504, 1632.937 , 1633.8081, 1626.4407],\n",
|
|||
|
" dtype=float32), array([1614.814 , 1621.8676, 1625.3 , 1621.1385, 1620.2861, 1613.661 ],\n",
|
|||
|
" dtype=float32), array([1609.433 , 1615.8822, 1619.8225, 1615.7637, 1613.706 , 1608.1189],\n",
|
|||
|
" dtype=float32), array([1615.1442, 1621.6876, 1624.385 , 1621.0138, 1618.1656, 1611.9146],\n",
|
|||
|
" dtype=float32), array([1614.7443, 1621.5782, 1620.4854, 1617.2856, 1613.0946, 1605.3656],\n",
|
|||
|
" dtype=float32), array([1606.0516, 1612.7886, 1608.7699, 1604.3633, 1600.2762, 1592.0902],\n",
|
|||
|
" dtype=float32), array([1610.0786, 1616.2509, 1613.78 , 1611.2694, 1607.0206, 1599.6981],\n",
|
|||
|
" dtype=float32), array([1599.9713, 1605.8113, 1603.16 , 1599.7733, 1595.3657, 1587.7399],\n",
|
|||
|
" dtype=float32), array([1598.7947, 1604.8456, 1600.7592, 1597.502 , 1592.945 , 1584.0468],\n",
|
|||
|
" dtype=float32), array([1579.8577, 1585.7202, 1580.3997, 1575.5632, 1571.4625, 1561.5464],\n",
|
|||
|
" dtype=float32), array([1569.0719, 1573.4371, 1570.893 , 1566.2008, 1561.9119, 1553.2856],\n",
|
|||
|
" dtype=float32), array([1564.4626, 1569.0371, 1565.9626, 1562.0206, 1557.8019, 1549.6188],\n",
|
|||
|
" dtype=float32), array([1563.5356, 1568.656 , 1565.2961, 1562.3362, 1558.5613, 1550.1438],\n",
|
|||
|
" dtype=float32), array([1567.9229, 1573.1558, 1570.0989, 1568.79 , 1565.4913, 1556.8856],\n",
|
|||
|
" dtype=float32), array([1563.7207, 1569.2091, 1565.6901, 1563.5432, 1560.3497, 1551.4518],\n",
|
|||
|
" dtype=float32), array([1555.9272, 1560.9941, 1557.6085, 1555.18 , 1551.8015, 1543.2192],\n",
|
|||
|
" dtype=float32), array([1547.2604, 1552.4945, 1546.5137, 1544.4396, 1541.2408, 1532.2644],\n",
|
|||
|
" dtype=float32), array([1526.3016, 1531.2524, 1524.0774, 1520.536 , 1517.6791, 1509.1884],\n",
|
|||
|
" dtype=float32), array([1513.4832, 1519.1597, 1508.3137, 1504.4634, 1501.8613, 1493.6537],\n",
|
|||
|
" dtype=float32), array([1511.4858, 1515.9427, 1505.0809, 1501.9257, 1499.7488, 1492.4965],\n",
|
|||
|
" dtype=float32), array([1503.105 , 1505.9012, 1493.8827, 1490.6843, 1488.3477, 1483.3939],\n",
|
|||
|
" dtype=float32), array([1493.5238, 1492.0472, 1485.7158, 1483.9558, 1482.9569, 1482.2688],\n",
|
|||
|
" dtype=float32), array([1484.835 , 1483.4584, 1476.4957, 1475.9484, 1474.8116, 1474.4681],\n",
|
|||
|
" dtype=float32), array([1472.9342, 1473.1471, 1465.0497, 1464.2814, 1463.2291, 1463.0339],\n",
|
|||
|
" dtype=float32), array([1459.3455, 1459.1063, 1456.1233, 1456.3082, 1454.8776, 1457.4734],\n",
|
|||
|
" dtype=float32), array([1481.4567, 1484.7322, 1480.2349, 1484.6304, 1484.5311, 1485.2019],\n",
|
|||
|
" dtype=float32), array([1479.6699, 1485.4242, 1479.1885, 1483.961 , 1483.6782, 1482.9976],\n",
|
|||
|
" dtype=float32), array([1495.0712, 1504.9498, 1496.6691, 1502.781 , 1504.0496, 1499.66 ],\n",
|
|||
|
" dtype=float32), array([1486.9579, 1498.0474, 1489.477 , 1493.1128, 1494.5732, 1490.4225],\n",
|
|||
|
" dtype=float32), array([1497.3074, 1510.0963, 1504.0037, 1510.477 , 1513.3217, 1510.2777],\n",
|
|||
|
" dtype=float32), array([1498.2058, 1512.6973, 1508.5977, 1514.6373, 1516.3179, 1513.497 ],\n",
|
|||
|
" dtype=float32), array([1494.8613, 1507.9382, 1508.7716, 1512.0325, 1510.844 , 1508.8567],\n",
|
|||
|
" dtype=float32), array([1501.5873, 1515.6913, 1518.0746, 1520.3755, 1517.3875, 1515.4656],\n",
|
|||
|
" dtype=float32), array([1522.2341, 1537.6779, 1536.5604, 1537.5393, 1534.6783, 1526.4109],\n",
|
|||
|
" dtype=float32), array([1523.0189, 1537.0077, 1535.367 , 1532.2349, 1528.3142, 1517.5747],\n",
|
|||
|
" dtype=float32), array([1522.0273, 1534.7507, 1536.198 , 1529.4598, 1524.958 , 1516.2101],\n",
|
|||
|
" dtype=float32), array([1517.9725, 1530.0222, 1530.3217, 1521.9501, 1517.8414, 1506.5249],\n",
|
|||
|
" dtype=float32), array([1511.4004, 1524.0242, 1519.1508, 1508.0249, 1503.426 , 1488.5485],\n",
|
|||
|
" dtype=float32), array([1477.5887, 1485.7465, 1481.2251, 1466.5912, 1463.8154, 1446.1862],\n",
|
|||
|
" dtype=float32), array([1473.251 , 1480.0742, 1477.9437, 1461.6278, 1459.4736, 1444.7577],\n",
|
|||
|
" dtype=float32), array([1458.1064, 1462.689 , 1464.8788, 1445.7268, 1444.8391, 1433.1827],\n",
|
|||
|
" dtype=float32), array([1454.392 , 1460.7103, 1460.3464, 1441.8097, 1438.6476, 1426.1942],\n",
|
|||
|
" dtype=float32), array([1448.4722, 1456.7605, 1453.705 , 1435.1122, 1429.625 , 1415.939 ],\n",
|
|||
|
" dtype=float32), array([1425.392 , 1434.0651, 1429.7711, 1410.3441, 1404.2589, 1388.386 ],\n",
|
|||
|
" dtype=float32), array([1402.5212, 1411.6667, 1401.1396, 1383.8099, 1374.1315, 1353.4011],\n",
|
|||
|
" dtype=float32), array([1390.7423, 1399.6361, 1384.9495, 1370.3263, 1360.2627, 1336.2781],\n",
|
|||
|
" dtype=float32), array([1354.8442, 1361.8103, 1349.6924, 1332.3949, 1325.3546, 1300.0288],\n",
|
|||
|
" dtype=float32), array([1331.872 , 1335.3584, 1320.5149, 1303.7125, 1294.7102, 1267.4688],\n",
|
|||
|
" dtype=float32), array([1287.5886, 1289.1176, 1273.9734, 1256.2416, 1246.9854, 1221.6407],\n",
|
|||
|
" dtype=float32), array([1274.7943, 1273.9462, 1259.7096, 1242.058 , 1234.8624, 1212.3391],\n",
|
|||
|
" dtype=float32), array([1255.0616, 1253.4917, 1247.1542, 1229.5161, 1223.786 , 1206.9946],\n",
|
|||
|
" dtype=float32), array([1242.9927, 1242.1168, 1235.9941, 1221.6803, 1215.8387, 1198.734 ],\n",
|
|||
|
" dtype=float32), array([1221.1061, 1222.9034, 1215.3322, 1205.2732, 1195.7018, 1177.55 ],\n",
|
|||
|
" dtype=float32), array([1200.223 , 1204.9587, 1199.5072, 1190.5468, 1178.7667, 1161.4323],\n",
|
|||
|
" dtype=float32), array([1185.5503, 1190.9949, 1190.5211, 1181.874 , 1172.7091, 1155.4761],\n",
|
|||
|
" dtype=float32), array([1162.4443, 1174.5453, 1176.81 , 1167.0188, 1156.0907, 1138.903 ],\n",
|
|||
|
" dtype=float32), array([1146.004 , 1163.0221, 1166.7188, 1156.8767, 1139.0765, 1122.7975],\n",
|
|||
|
" dtype=float32), array([1143.0074, 1154.1707, 1164.512 , 1153.164 , 1144.4489, 1125.8475],\n",
|
|||
|
" dtype=float32), array([1129.2041, 1139.2174, 1156.3223, 1143.6376, 1138.238 , 1121.4867],\n",
|
|||
|
" dtype=float32), array([1123.5496, 1130.2614, 1157.3856, 1144.7831, 1150.3201, 1136.3354],\n",
|
|||
|
" dtype=float32), array([1123.7814, 1132.9285, 1163.9531, 1156.0215, 1163.4993, 1155.0306],\n",
|
|||
|
" dtype=float32), array([1135.4496, 1145.0807, 1178.9718, 1173.6451, 1182.7661, 1175.022 ],\n",
|
|||
|
" dtype=float32), array([1148.0859, 1159.2137, 1193.8881, 1190.5717, 1200.4279, 1191.2415],\n",
|
|||
|
" dtype=float32)]\n"
|
|||
|
]
|
|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"mean_pre_test = [] \n",
|
|||
|
"# 初始化一个空列表 mean_pre_test,用于存储每个时间点的预测值总和。\n",
|
|||
|
"\n",
|
|||
|
"for i in range(0, len(prediction_test[0])):\n",
|
|||
|
" # 遍历预测结果的每个时间点。\n",
|
|||
|
" sum = 0\n",
|
|||
|
" # 初始化变量 sum,用于累加当前时间点的所有预测值。\n",
|
|||
|
"\n",
|
|||
|
" for j in range(0, len(prediction_test)):\n",
|
|||
|
" # 内层循环,遍历所有预测结果。\n",
|
|||
|
" sum = sum + prediction_test[j][i]\n",
|
|||
|
" # 将当前时间点的预测值累加到 sum。\n",
|
|||
|
"\n",
|
|||
|
" # mean = sum / len(prediction_test) \n",
|
|||
|
" # 这一行被注释掉了,本应用于计算平均值,但目前不执行。\n",
|
|||
|
"\n",
|
|||
|
" mean_pre_test.append(sum)\n",
|
|||
|
" # 将累加后的总和添加到 mean_pre_test 列表。\n",
|
|||
|
"\n",
|
|||
|
"print(mean_pre_test)\n",
|
|||
|
"# 打印 mean_pre_test 列表,显示每个时间点的预测值总和。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 12,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [
|
|||
|
{
|
|||
|
"name": "stdout",
|
|||
|
"output_type": "stream",
|
|||
|
"text": [
|
|||
|
"[array([585.435 , 587.11584, 589.3555 , 591.2902 , 592.60706, 593.3793 ],\n",
|
|||
|
" dtype=float32), array([587.63904, 589.8859 , 591.8278 , 593.15454, 593.94006, 594.04236],\n",
|
|||
|
" dtype=float32), array([590.4207 , 592.3691 , 593.70135, 594.4952 , 594.6086 , 594.3888 ],\n",
|
|||
|
" dtype=float32), array([592.9149 , 594.25214, 595.0499 , 595.1693 , 594.95953, 594.5946 ],\n",
|
|||
|
" dtype=float32), array([594.8075 , 595.6087 , 595.7299 , 595.525 , 595.16956, 594.9381 ],\n",
|
|||
|
" dtype=float32), array([596.17224, 596.2949 , 596.09076, 595.73956, 595.5177 , 596.3485 ],\n",
|
|||
|
" dtype=float32), array([596.8649 , 596.66113, 596.3101 , 596.0928 , 596.9364 , 598.764 ],\n",
|
|||
|
" dtype=float32), array([597.23663, 596.88544, 596.6685 , 597.51996, 599.3635 , 602.2754 ],\n",
|
|||
|
" dtype=float32), array([597.46625, 597.2494 , 598.1044 , 599.95886, 602.8901 , 606.2555 ],\n",
|
|||
|
" dtype=float32), array([597.83575, 598.69415, 600.55524, 603.5007 , 606.88696, 609.87384],\n",
|
|||
|
" dtype=float32), array([599.2894 , 601.15686, 604.11255, 607.5146 , 610.5208 , 612.9819 ],\n",
|
|||
|
" dtype=float32), array([601.76404, 604.72943, 608.14325, 611.1641 , 613.64276, 615.555 ],\n",
|
|||
|
" dtype=float32), array([605.35187, 608.7769 , 611.8085 , 614.3001 , 616.228 , 618.1106 ],\n",
|
|||
|
" dtype=float32), array([609.4158 , 612.45764, 614.9585 , 616.8977 , 618.7957 , 621.21204],\n",
|
|||
|
" dtype=float32), array([613.1119 , 615.6215 , 617.56836, 619.4777 , 621.91125, 624.82837],\n",
|
|||
|
" dtype=float32), array([616.2894 , 618.2435 , 620.1605 , 622.60736, 625.5434 , 628.45105],\n",
|
|||
|
" dtype=float32), array([618.92334, 620.84784, 623.30426, 626.25525, 629.18207, 632.41315],\n",
|
|||
|
" dtype=float32), array([621.5396 , 624.0053 , 626.9679 , 629.9099 , 633.1612 , 637.42206],\n",
|
|||
|
" dtype=float32), array([624.71075, 627.6845 , 630.63837, 633.90643, 638.19104, 642.7262 ],\n",
|
|||
|
" dtype=float32), array([628.40515, 631.3706 , 634.652 , 638.957 , 643.5171 , 648.47626],\n",
|
|||
|
" dtype=float32), array([632.10645, 635.4008 , 639.7232 , 644.3052 , 649.2911 , 654.8073 ],\n",
|
|||
|
" dtype=float32), array([636.1531 , 640.4923 , 645.09326, 650.10297, 655.6483 , 660.96515],\n",
|
|||
|
" dtype=float32), array([641.2643 , 645.8837 , 650.9147 , 656.4864 , 661.83215, 666.4663 ],\n",
|
|||
|
" dtype=float32), array([646.67676, 651.72833, 657.32416, 662.6966 , 667.3578 , 670.8594 ],\n",
|
|||
|
" dtype=float32), array([652.544 , 658.1633 , 663.56024, 668.2468 , 671.77234, 674.1133 ],\n",
|
|||
|
" dtype=float32), array([659.0038 , 664.42487, 669.13495, 672.6831 , 675.04456, 675.86786],\n",
|
|||
|
" dtype=float32), array([665.29047, 670.0237 , 673.5929 , 675.9739 , 676.81335, 676.42334],\n",
|
|||
|
" dtype=float32), array([670.9131 , 674.50305, 676.90247, 677.75714, 677.3796 , 676.61975],\n",
|
|||
|
" dtype=float32), array([675.4136 , 677.8313 , 678.7003 , 678.3346 , 677.58624, 676.83606],\n",
|
|||
|
" dtype=float32), array([678.7604 , 679.6439 , 679.2893 , 678.55194, 677.8134 , 677.1142 ],\n",
|
|||
|
" dtype=float32), array([680.5879 , 680.2448 , 679.51776, 678.7904 , 678.1031 , 678.2624 ],\n",
|
|||
|
" dtype=float32), array([681.2008, 680.4848, 679.768 , 679.0921, 679.2662, 680.369 ],\n",
|
|||
|
" dtype=float32), array([681.45245, 680.7473 , 680.08234, 680.27057, 681.3912 , 682.3875 ],\n",
|
|||
|
" dtype=float32), array([681.72754, 681.0746 , 681.2766 , 682.41437, 683.42786, 683.8018 ],\n",
|
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|||
|
" dtype=float32), array([1510.0574, 1500.8182, 1491.8947, 1482.5646, 1473.3868, 1464.6594],\n",
|
|||
|
" dtype=float32), array([1501.4404, 1492.4751, 1483.0946, 1473.8634, 1465.0836, 1457.0616],\n",
|
|||
|
" dtype=float32), array([1493.0651, 1483.6377, 1474.3528, 1465.5176, 1457.4429, 1451.9672],\n",
|
|||
|
" dtype=float32), array([1484.1909, 1474.8556, 1465.964 , 1457.833 , 1452.3105, 1450.9849],\n",
|
|||
|
" dtype=float32), array([1475.3693, 1466.4247, 1458.2357, 1452.662 , 1451.3007, 1452.068 ],\n",
|
|||
|
" dtype=float32), array([1466.8962, 1458.6525, 1453.0254, 1451.6239, 1452.3602, 1454.3932],\n",
|
|||
|
" dtype=float32), array([1459.0807, 1453.4028, 1451.9579, 1452.6583, 1454.6627, 1456.7661],\n",
|
|||
|
" dtype=float32), array([1453.7914, 1452.3049, 1452.9661, 1454.937 , 1457.0104, 1460.0034],\n",
|
|||
|
" dtype=float32), array([1452.6626, 1453.2856, 1455.219 , 1457.2579, 1460.223 , 1463.1577],\n",
|
|||
|
" dtype=float32), array([1453.6151, 1455.5117, 1457.5116, 1460.4438, 1463.3497, 1466.2291],\n",
|
|||
|
" dtype=float32), array([1455.8129, 1457.7738, 1460.669 , 1463.5411, 1466.3914, 1470.2738],\n",
|
|||
|
" dtype=float32), array([1458.0437, 1460.9008, 1463.7347, 1466.5511, 1470.4078, 1474.8258],\n",
|
|||
|
" dtype=float32), array([1461.1388, 1463.9332, 1466.7112, 1470.5375, 1474.932 , 1477.2858],\n",
|
|||
|
" dtype=float32), array([1464.1366, 1466.8737, 1470.6652, 1475.0317, 1477.3562, 1476.5273],\n",
|
|||
|
" dtype=float32), array([1467.0397, 1470.793 , 1475.1273, 1477.4186, 1476.551 , 1472.603 ],\n",
|
|||
|
" dtype=float32), array([1470.9229, 1475.2208, 1477.4741, 1476.5646, 1472.5695, 1465.4861],\n",
|
|||
|
" dtype=float32), array([1475.3148, 1477.5261, 1476.5697, 1472.5236, 1465.3844, 1455.3921],\n",
|
|||
|
" dtype=float32), array([1477.5768, 1476.5692, 1472.4677, 1465.2689, 1455.2128, 1444.9747],\n",
|
|||
|
" dtype=float32), array([1476.5667, 1472.405 , 1465.142 , 1455.0183, 1444.7174, 1434.4945],\n",
|
|||
|
" dtype=float32), array([1472.3394, 1465.0073, 1454.8112, 1444.4432, 1434.1597, 1424.2051],\n",
|
|||
|
" dtype=float32), array([1464.8693, 1454.5956, 1444.1555, 1433.8064, 1423.7938, 1412.4114],\n",
|
|||
|
" dtype=float32), array([1454.3768, 1443.8593, 1433.4387, 1423.363 , 1411.9199, 1397.0203],\n",
|
|||
|
" dtype=float32), array([1443.5598, 1433.0625, 1422.9174, 1411.4081, 1396.438 , 1378.7422],\n",
|
|||
|
" dtype=float32), array([1432.6832, 1422.4631, 1410.8806, 1395.8341, 1378.0607, 1358.4681],\n",
|
|||
|
" dtype=float32), array([1422.0061, 1410.3448, 1395.2147, 1377.3568, 1357.682 , 1334.1814],\n",
|
|||
|
" dtype=float32), array([1409.807 , 1394.5878, 1376.6378, 1356.8728, 1333.2787, 1306.7471],\n",
|
|||
|
" dtype=float32), array([1393.9598, 1375.9122, 1356.0491, 1332.3524, 1305.7184, 1277.7213],\n",
|
|||
|
" dtype=float32), array([1375.1869, 1355.2205, 1331.4124, 1304.6658, 1276.5626, 1251.4374],\n",
|
|||
|
" dtype=float32), array([1354.3934, 1330.4692, 1303.6006, 1275.3795, 1250.1583, 1228.0193],\n",
|
|||
|
" dtype=float32), array([1329.5302, 1302.5347, 1274.1849, 1248.8547, 1226.6302, 1206.6265],\n",
|
|||
|
" dtype=float32), array([1301.4751, 1272.9924, 1247.5408, 1225.2161, 1205.1346, 1186.5587],\n",
|
|||
|
" dtype=float32), array([1271.8085, 1246.2311, 1223.7928, 1203.6174, 1184.9695, 1167.9548],\n",
|
|||
|
" dtype=float32), array([1244.9325, 1222.376 , 1202.0918, 1183.354 , 1166.2733, 1151.0895],\n",
|
|||
|
" dtype=float32), array([1220.9723, 1200.5748, 1181.7313, 1164.5656, 1149.3224, 1135.3484],\n",
|
|||
|
" dtype=float32), array([1199.0729, 1180.1188, 1162.8508, 1147.5283, 1133.5002, 1121.9751],\n",
|
|||
|
" dtype=float32), array([1178.523 , 1161.1478, 1145.7279, 1131.6245, 1120.0546, 1111.9347],\n",
|
|||
|
" dtype=float32), array([1159.4631, 1143.9406, 1129.7428, 1118.106 , 1109.9542, 1104.467 ],\n",
|
|||
|
" dtype=float32), array([1142.1729, 1127.8751, 1116.1515, 1107.9447, 1102.4364, 1099.8883],\n",
|
|||
|
" dtype=float32), array([1126.0287, 1114.212 , 1105.9297, 1100.3761, 1097.8185, 1097.481 ],\n",
|
|||
|
" dtype=float32), array([1112.2944, 1103.9297, 1098.3097, 1095.7184, 1095.3812, 1095.7697],\n",
|
|||
|
" dtype=float32), array([1101.9525, 1096.2588, 1093.6119, 1093.2505, 1093.6447, 1092.7805],\n",
|
|||
|
" dtype=float32), array([1094.231 , 1091.5209, 1091.113 , 1091.4879, 1090.6283, 1086.805 ],\n",
|
|||
|
" dtype=float32), array([1089.4529, 1088.9906, 1089.3239, 1088.4441, 1084.6184, 1078.7408],\n",
|
|||
|
" dtype=float32), array([1086.8911, 1087.1746, 1086.2521, 1082.3997, 1076.5162, 1070.786 ],\n",
|
|||
|
" dtype=float32), array([1085.0483, 1084.0746, 1080.1727, 1074.2587, 1068.5265, 1064.7916],\n",
|
|||
|
" dtype=float32), array([1081.9202, 1077.9608, 1071.9933, 1066.2335, 1062.5063, 1061.1566],\n",
|
|||
|
" dtype=float32)]\n"
|
|||
|
]
|
|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"mean_actual_test = []\n",
|
|||
|
"# 初始化一个空列表 mean_actual_test,用于存储每个时间点的真实值总和。\n",
|
|||
|
"\n",
|
|||
|
"for i in range(0, len(actual_test[0])):\n",
|
|||
|
" # 遍历真实结果的每个时间点。\n",
|
|||
|
" sum = 0\n",
|
|||
|
" # 初始化变量 sum,用于累加当前时间点的所有真实值。\n",
|
|||
|
"\n",
|
|||
|
" for j in range(0, len(actual_test)):\n",
|
|||
|
" # 内层循环,遍历所有真实结果。\n",
|
|||
|
" sum = sum + actual_test[j][i]\n",
|
|||
|
" # 将当前时间点的真实值累加到 sum。\n",
|
|||
|
"\n",
|
|||
|
" # mean = sum / len(actual_test)\n",
|
|||
|
" # 这一行被注释掉了,本应用于计算平均值,但目前不执行。\n",
|
|||
|
"\n",
|
|||
|
" mean_actual_test.append(sum)\n",
|
|||
|
" # 将累加后的总和添加到 mean_actual_test 列表。\n",
|
|||
|
"\n",
|
|||
|
"print(mean_actual_test)\n",
|
|||
|
"# 打印 mean_actual_test 列表,显示每个时间点的真实值总和。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 13,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": [
|
|||
|
"def mape(y_true, y_pred):\n",
|
|||
|
" # 定义一个计算平均绝对百分比误差(MAPE)的函数。\n",
|
|||
|
" record = []\n",
|
|||
|
" for index in range(len(y_true)):\n",
|
|||
|
" # 遍历实际值和预测值。\n",
|
|||
|
" if abs(y_true[index]) > 10:\n",
|
|||
|
" # 如果实际值的绝对值大于10,则计算MAPE。\n",
|
|||
|
" temp_mape = np.abs((y_pred[index] - y_true[index]) / y_true[index])\n",
|
|||
|
" # 计算单个预测的MAPE。\n",
|
|||
|
" record.append(temp_mape)\n",
|
|||
|
" # 将MAPE添加到记录列表中。\n",
|
|||
|
" return np.mean(record) * 100\n",
|
|||
|
" # 返回所有记录的平均值,乘以100得到百分比。\n",
|
|||
|
"\n",
|
|||
|
"def evaluate_forecasts(test, forecasts, n_out):\n",
|
|||
|
" # 定义一个函数来评估预测的性能。\n",
|
|||
|
" rmse_dic = {}\n",
|
|||
|
" mae_dic = {}\n",
|
|||
|
" mape_dic = {}\n",
|
|||
|
" r2_dic = {}\n",
|
|||
|
" # 初始化存储各个评估指标的字典。\n",
|
|||
|
"\n",
|
|||
|
" for i in range(n_out):\n",
|
|||
|
" # 遍历每一个预测步长。\n",
|
|||
|
" actual = [float(row[i]) for row in test]\n",
|
|||
|
" # 从测试集中提取实际值。\n",
|
|||
|
" predicted = [float(forecast[i]) for forecast in forecasts]\n",
|
|||
|
" # 从预测结果中提取预测值。\n",
|
|||
|
"\n",
|
|||
|
" rmse = sqrt(mean_squared_error(actual, predicted))\n",
|
|||
|
" # 计算均方根误差(RMSE)。\n",
|
|||
|
" rmse_dic['t+' + str(i+1) + ' RMSE'] = rmse\n",
|
|||
|
" # 将RMSE结果添加到字典中。\n",
|
|||
|
"\n",
|
|||
|
" mae = mean_absolute_error(actual, predicted)\n",
|
|||
|
" # 计算平均绝对误差(MAE)。\n",
|
|||
|
" mae_dic['t+' + str(i+1) + ' MAE'] = mae\n",
|
|||
|
" # 将MAE结果添加到字典中。\n",
|
|||
|
"\n",
|
|||
|
" mape_ = mape(actual, predicted)\n",
|
|||
|
" # 计算平均绝对百分比误差(MAPE)。\n",
|
|||
|
" mape_dic['t+' + str(i+1) + ' MAPE'] = mape_\n",
|
|||
|
" # 将MAPE结果添加到字典中。\n",
|
|||
|
"\n",
|
|||
|
" r2 = r2_score(actual, predicted)\n",
|
|||
|
" # 计算R平方值(R2)。\n",
|
|||
|
" r2_dic['t+' + str(i+1) + ' R2'] = r2\n",
|
|||
|
" # 将R2结果添加到字典中。\n",
|
|||
|
"\n",
|
|||
|
" return rmse_dic, mae_dic, mape_dic, r2_dic\n",
|
|||
|
" # 返回包含所有评估指标的字典。"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 14,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": [
|
|||
|
"dic_list = []\n",
|
|||
|
"# 初始化一个空列表,用于存储评估结果。\n",
|
|||
|
"\n",
|
|||
|
"dic = evaluate_forecasts(mean_actual_test, mean_pre_test, n_out)\n",
|
|||
|
"# 调用evaluate_forecasts函数。\n",
|
|||
|
"# 此函数将计算每个预测步长的RMSE、MAE、MAPE和R2值。\n",
|
|||
|
"\n",
|
|||
|
"dic_list.append(dic)\n",
|
|||
|
"# 将评估结果(一个包含四种评估指标的字典)添加到dic_list列表中。"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 15,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [
|
|||
|
{
|
|||
|
"name": "stdout",
|
|||
|
"output_type": "stream",
|
|||
|
"text": [
|
|||
|
"[({'t+1 RMSE': 33.77693092445425, 't+2 RMSE': 39.11441558946967, 't+3 RMSE': 42.33294930368944, 't+4 RMSE': 42.32774089827625, 't+5 RMSE': 46.687650731330415, 't+6 RMSE': 45.23881249913675}, {'t+1 MAE': 28.063076323613608, 't+2 MAE': 31.09749443323139, 't+3 MAE': 32.60468384242014, 't+4 MAE': 33.49820121807601, 't+5 MAE': 35.85342378917121, 't+6 MAE': 35.81221775486651}, {'t+1 MAPE': 2.447889483415708, 't+2 MAPE': 2.5304907053316383, 't+3 MAPE': 2.599171923595281, 't+4 MAPE': 2.8499105367921826, 't+5 MAPE': 3.020994645321792, 't+6 MAPE': 3.113077874960882}, {'t+1 R2': 0.9929718071129047, 't+2 R2': 0.990562772730015, 't+3 R2': 0.9889315345808368, 't+4 R2': 0.9889202511313333, 't+5 R2': 0.9865034641578266, 't+6 R2': 0.9873127198487927})]\n"
|
|||
|
]
|
|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"print(dic_list)#显示预测指标数值"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 16,
|
|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T09:10:46.646049Z",
|
|||
|
"start_time": "2023-05-06T09:10:46.632046Z"
|
|||
|
}
|
|||
|
},
|
|||
|
"outputs": [],
|
|||
|
"source": [
|
|||
|
"actual = [float(row[0]) for row in mean_actual_test]\n",
|
|||
|
"# 从反向缩放后的实际值集合(mean_actual_test)中提取每个样本的第一个值。\n",
|
|||
|
"# 这个列表包含了对应于时间步长t的所有实际值。\n",
|
|||
|
"\n",
|
|||
|
"predicted_1st = [float(forecast[0]) for forecast in mean_pre_test]\n",
|
|||
|
"# 从反向缩放后的预测值集合(mean_actual_test)中提取每个样本的第一个预测值。\n",
|
|||
|
"# 这个列表包含了模型对于时间步长t+1的所有预测值。\n",
|
|||
|
"\n",
|
|||
|
"predicted_3st = [float(forecast[2]) for forecast in mean_pre_test]\n",
|
|||
|
"# 从反向缩放后的预测值集合(mean_actual_test)中提取每个样本的第三个预测值。\n",
|
|||
|
"# 这个列表包含了模型对于时间步长t+3的所有预测值。\n",
|
|||
|
"\n",
|
|||
|
"predicted_6st = [float(forecast[5]) for forecast in mean_pre_test]\n",
|
|||
|
"# 从反向缩放后的预测值集合(mean_actual_test)中提取每个样本的第六个预测值。\n",
|
|||
|
"# 这个列表包含了模型对于时间步长t+6的所有预测值。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": 17,
|
|||
|
"metadata": {
|
|||
|
"ExecuteTime": {
|
|||
|
"end_time": "2023-05-06T09:15:48.619770Z",
|
|||
|
"start_time": "2023-05-06T09:15:47.162804Z"
|
|||
|
}
|
|||
|
},
|
|||
|
"outputs": [
|
|||
|
{
|
|||
|
"data": {
|
|||
|
"image/png": "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
|
|||
|
"text/plain": [
|
|||
|
"<Figure size 3600x2400 with 1 Axes>"
|
|||
|
]
|
|||
|
},
|
|||
|
"metadata": {
|
|||
|
"image/png": {
|
|||
|
"height": 2167,
|
|||
|
"width": 3242
|
|||
|
},
|
|||
|
"needs_background": "light"
|
|||
|
},
|
|||
|
"output_type": "display_data"
|
|||
|
}
|
|||
|
],
|
|||
|
"source": [
|
|||
|
"import seaborn as sns\n",
|
|||
|
"# 导入seaborn库,用于数据可视化。\n",
|
|||
|
"\n",
|
|||
|
"%config InlineBackend.figure_format = 'retina'\n",
|
|||
|
"# 设置Jupyter笔记本中的图形格式为高分辨率的'retina'格式。\n",
|
|||
|
"\n",
|
|||
|
"plt.rcParams['font.sans-serif']=['Simhei'] #解决画图中文不显示问题\n",
|
|||
|
"# 设置matplotlib的默认字体为Simhei,以解决中文显示问题。\n",
|
|||
|
"\n",
|
|||
|
"plt.rcParams['axes.unicode_minus'] = False\n",
|
|||
|
"# 设置matplotlib的配置,用来正常显示负号。\n",
|
|||
|
"\n",
|
|||
|
"plt.figure(figsize=(6,4),dpi=600)\n",
|
|||
|
"# 创建一个图形对象,并设置大小为6x4英寸,分辨率为600dpi。\n",
|
|||
|
"\n",
|
|||
|
"x = range(1, len(actual) + 1)\n",
|
|||
|
"# 创建x轴的值,从1到实际值列表的长度。\n",
|
|||
|
"\n",
|
|||
|
"plt.xticks(x[::500])\n",
|
|||
|
"# 设置x轴的刻度,每500个点显示一个刻度。\n",
|
|||
|
"\n",
|
|||
|
"plt.tick_params(labelsize=10) # 改变刻度字体大小\n",
|
|||
|
"# 设置刻度标签的字体大小。\n",
|
|||
|
"\n",
|
|||
|
"plt.plot(x, actual, linestyle=\"--\", linewidth=1, label='Real')\n",
|
|||
|
"# 绘制实际值的折线图,线型为虚线,线宽为1,标签为'Real'。\n",
|
|||
|
"\n",
|
|||
|
"plt.plot(x, predicted_1st, linestyle=\"--\", linewidth=1, label='1step')\n",
|
|||
|
"# 绘制一步预测值的折线图,线型为虚线,线宽为1,标签为'1step'。\n",
|
|||
|
"\n",
|
|||
|
"plt.plot(x, predicted_3st, linestyle=\"--\", linewidth=1, label='3step')\n",
|
|||
|
"# 绘制三步预测值的折线图,线型为虚线,线宽为1,标签为'3step'。\n",
|
|||
|
"\n",
|
|||
|
"plt.plot(x, predicted_6st, linestyle=\"--\", linewidth=1, label='6step')\n",
|
|||
|
"# 绘制六步预测值的折线图,线型为虚线,线宽为1,标签为'6step'。\n",
|
|||
|
"\n",
|
|||
|
"plt.rcParams.update({'font.size': 10}) # 改变图例里面的字体大小\n",
|
|||
|
"# 更新图例的字体大小。\n",
|
|||
|
"\n",
|
|||
|
"plt.legend(loc='upper right', frameon=False)\n",
|
|||
|
"# 显示图例,位置在图形的右上角,没有边框。\n",
|
|||
|
"\n",
|
|||
|
"plt.xlabel(\"样本点\", fontsize=10)\n",
|
|||
|
"# 设置x轴标签为\"样本点\",字体大小为10。\n",
|
|||
|
"\n",
|
|||
|
"plt.ylabel(\"值\", fontsize=10)\n",
|
|||
|
"# 设置y轴标签为\"值\",字体大小为10。\n",
|
|||
|
"\n",
|
|||
|
"# plt.xlim(xmin=600, xmax=700) # 显示600-1000的值 局部放大有利于观察\n",
|
|||
|
"# 如果需要,可以取消注释这行代码,以局部放大显示600到700之间的值。\n",
|
|||
|
"\n",
|
|||
|
"# plt.savefig('figure/预测结果图.png')\n",
|
|||
|
"# 如果需要,可以取消注释这行代码,以将图形保存为PNG文件。\n",
|
|||
|
"\n",
|
|||
|
"plt.show()\n",
|
|||
|
"# 显示图形。\n"
|
|||
|
]
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": null,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": []
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": null,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": []
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": null,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": []
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": null,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": []
|
|||
|
},
|
|||
|
{
|
|||
|
"cell_type": "code",
|
|||
|
"execution_count": null,
|
|||
|
"metadata": {},
|
|||
|
"outputs": [],
|
|||
|
"source": []
|
|||
|
}
|
|||
|
],
|
|||
|
"metadata": {
|
|||
|
"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": "3.8.5"
|
|||
|
}
|
|||
|
},
|
|||
|
"nbformat": 4,
|
|||
|
"nbformat_minor": 5
|
|||
|
}
|