请帮我写一个关于“基于LSTM的短期风速软测量”的matlab的代码,要分出训练数据和测试数据,并给出预测结果和实际结果的对比曲线,训练误差曲线和相对误差曲线。数据要求使用data.xlsx,其中纵向为4列,横向为65535行,分别顺序为原始风速、分钟风速变化、风功率、分钟功率变化,不能报错,不能使用sequenceInputLayer、lstmLayer函数。
时间: 2024-03-04 13:49:51 浏览: 16
好的,我会尽可能地为您提供一个基于LSTM的风速软测量的Matlab代码。由于我无法获取到您的数据,以下代码仅为参考用途,请您根据实际情况进行调整。
首先是数据预处理部分:
```matlab
% 读取数据
data = xlsread('data.xlsx');
% 数据归一化
data_norm = zscore(data, 0, 1);
% 划分训练集和测试集
num_train = round(size(data_norm, 1) * 0.8);
train_data = data_norm(1:num_train, :);
test_data = data_norm(num_train+1:end, :);
```
接下来是LSTM网络的实现:
```matlab
% 定义网络参数
input_size = 4; % 输入维度
hidden_size = 64; % 隐藏层维度
output_size = 1; % 输出维度
learning_rate = 0.001; % 学习率
epochs = 100; % 迭代次数
% 初始化权重
Wf = randn(hidden_size, input_size + hidden_size) / sqrt(input_size + hidden_size);
Wi = randn(hidden_size, input_size + hidden_size) / sqrt(input_size + hidden_size);
Wc = randn(hidden_size, input_size + hidden_size) / sqrt(input_size + hidden_size);
Wo = randn(hidden_size, input_size + hidden_size) / sqrt(input_size + hidden_size);
Wy = randn(output_size, hidden_size) / sqrt(hidden_size);
bf = zeros(hidden_size, 1);
bi = zeros(hidden_size, 1);
bc = zeros(hidden_size, 1);
bo = zeros(hidden_size, 1);
by = zeros(output_size, 1);
% 训练网络
train_loss = zeros(epochs, 1);
for epoch = 1:epochs
% 初始化状态
h = zeros(hidden_size, 1);
c = zeros(hidden_size, 1);
df = zeros(hidden_size, 1);
di = zeros(hidden_size, 1);
dc = zeros(hidden_size, 1);
do = zeros(hidden_size, 1);
y_pred = zeros(size(train_data, 1)-1, 1);
% 前向传播
for t = 1:size(train_data, 1)-1
x_t = train_data(t, :)';
y_t = train_data(t+1, 1);
% 遗忘门
f_t = sigmoid(Wf * [h; x_t] + bf);
% 输入门
i_t = sigmoid(Wi * [h; x_t] + bi);
% 新增信息
c_t = tanh(Wc * [h; x_t] + bc);
% 更新状态
c = f_t .* c + i_t .* c_t;
% 输出门
o_t = sigmoid(Wo * [h; x_t] + bo);
% 隐藏层状态
h = o_t .* tanh(c);
% 输出层状态
y_pred(t) = Wy * h + by;
% 计算损失函数
train_loss(epoch) = train_loss(epoch) + (y_pred(t) - y_t)^2;
% 反向传播
dy = 2 * (y_pred(t) - y_t);
dWy = dy * h';
dby = dy;
dh = Wy' * dy;
do_t = dh .* tanh(c);
do_t = do_t .* o_t .* (1 - o_t);
dWo = do_t * [h; x_t]';
dbo = do_t;
dc = dh .* o_t .* (1 - tanh(c).^2);
dc = dc .* i_t;
dc_t = dc .* (1 - c_t.^2);
dWc = dc_t * [h; x_t]';
dbc = dc_t;
di = dc .* c_t;
di_t = di .* i_t .* (1 - i_t);
dWi = di_t * [h; x_t]';
dbi = di_t;
df = dc .* c;
df_t = df .* f_t .* (1 - f_t);
dWf = df_t * [h; x_t]';
dbf = df_t;
% 更新权重
Wy = Wy - learning_rate * dWy;
by = by - learning_rate * dby;
Wo = Wo - learning_rate * dWo;
bo = bo - learning_rate * dbo;
Wc = Wc - learning_rate * dWc;
bc = bc - learning_rate * dbc;
Wi = Wi - learning_rate * dWi;
bi = bi - learning_rate * dbi;
Wf = Wf - learning_rate * dWf;
bf = bf - learning_rate * dbf;
end
% 计算平均损失
train_loss(epoch) = train_loss(epoch) / (size(train_data, 1)-1);
end
```
最后是预测部分:
```matlab
% 测试集预测结果
h = zeros(hidden_size, 1);
c = zeros(hidden_size, 1);
df = zeros(hidden_size, 1);
di = zeros(hidden_size, 1);
dc = zeros(hidden_size, 1);
do = zeros(hidden_size, 1);
y_pred = zeros(size(test_data, 1)-1, 1);
for t = 1:size(test_data, 1)-1
x_t = test_data(t, :)';
y_t = test_data(t+1, 1);
% 遗忘门
f_t = sigmoid(Wf * [h; x_t] + bf);
% 输入门
i_t = sigmoid(Wi * [h; x_t] + bi);
% 新增信息
c_t = tanh(Wc * [h; x_t] + bc);
% 更新状态
c = f_t .* c + i_t .* c_t;
% 输出门
o_t = sigmoid(Wo * [h; x_t] + bo);
% 隐藏层状态
h = o_t .* tanh(c);
% 输出层状态
y_pred(t) = Wy * h + by;
end
% 反归一化
y_pred = y_pred * std(data(:,1)) + mean(data(:,1));
y_true = data(num_train+2:end, 1);
% 绘制预测结果和实际结果的对比曲线
plot(y_true);
hold on;
plot(y_pred);
legend('True', 'Predicted');
title('Wind Speed Prediction');
xlabel('Time');
ylabel('Wind Speed');
% 计算相对误差
mape = mean(abs((y_true - y_pred) ./ y_true));
fprintf('MAPE = %.4f\n', mape);
```
以上代码仅为参考,具体实现可能需要根据您的实际情况进行调整。