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有大量二维矩阵作为样本，为连续数据。数据具有空间连续性，因此用卷积网络，通过dcgan生成二维矩阵。因为是连续变量，因此损失采用nn.MSELoss()。

import torch
import torch.nn as nn
import torch.optim as optim
import numpy as np
from DemDataset import create_netCDF_Dem_trainLoader
import torchvision
from torch.utils.tensorboard import SummaryWriterbatch_size=16
#load data
dataloader = create_netCDF_Dem_trainLoader(batch_size)# Generator with Conv2D structure
class Generator(nn.Module):def __init__(self):super(Generator, self).__init__()self.model = nn.Sequential(nn.ConvTranspose2d(100, 512, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(512),nn.ReLU(),nn.ConvTranspose2d(512, 512, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(512),nn.ReLU(),nn.ConvTranspose2d(512, 256, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(256),nn.ReLU(),nn.ConvTranspose2d(256, 128, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(128),nn.ReLU(),nn.ConvTranspose2d(128, 64, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(64),nn.ReLU(),nn.ConvTranspose2d(64, 32, kernel_size=4, stride=2, padding=1),nn.BatchNorm2d(32),nn.ReLU(),nn.ConvTranspose2d(32, 1, kernel_size=4, stride=2, padding=1),nn.Tanh())def forward(self, z):img = self.model(z)return img# Discriminator with Conv2D structure
class Discriminator(nn.Module):def __init__(self):super(Discriminator, self).__init__()self.model = nn.Sequential(nn.Conv2d(1, 32, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(32, 64, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(64, 128, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(128, 256, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(256, 512, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(512, 512, kernel_size=4, stride=2, padding=1),nn.LeakyReLU(0.2),nn.Conv2d(512, 1, kernel_size=4, stride=2, padding=1),)def forward(self, img):validity = self.model(img)return validity# Initialize GAN components
generator = Generator()
discriminator = Discriminator()# Define loss function and optimizers
criterion = nn.MSELoss()
optimizer_G = optim.Adam(generator.parameters(), lr=0.0002, betas=(0.5, 0.999))
optimizer_D = optim.Adam(discriminator.parameters(), lr=0.0002, betas=(0.5, 0.999))device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
generator.to(device)
discriminator.to(device)writer_real = SummaryWriter(f"logs/real")
writer_fake = SummaryWriter(f"logs/fake")
step = 0# Training loop
num_epochs = 200
for epoch in range(num_epochs):for batch_idx, real_data in enumerate(dataloader):real_data = real_data.to(device)# Train Discriminatoroptimizer_D.zero_grad()real_labels = torch.ones(real_data.size(0), 1).to(device)fake_labels = torch.zeros(real_data.size(0), 1).to(device)z = torch.randn(real_data.size(0), 100, 1, 1).to(device)fake_data = generator(z)real_pred = discriminator(real_data)fake_pred = discriminator(fake_data.detach())d_loss_real = criterion(real_pred, real_labels)d_loss_fake = criterion(fake_pred, fake_labels)d_loss = d_loss_real + d_loss_faked_loss.backward()optimizer_D.step()# Train Generatoroptimizer_G.zero_grad()z = torch.randn(real_data.size(0), 100, 1, 1).to(device)fake_data = generator(z)fake_pred = discriminator(fake_data)g_loss = criterion(fake_pred, real_labels)g_loss.backward()optimizer_G.step()# Print progressif batch_idx % 100 == 0:print(f"[Epoch {epoch}/{num_epochs}] [Batch {batch_idx}/{len(dataloader)}] [D loss: {d_loss.item():.4f}] [G loss: {g_loss.item():.4f}]")with torch.no_grad():img_grid_real = torchvision.utils.make_grid(fake_data#, normalize=True,)img_grid_fake = torchvision.utils.make_grid(real_data#, normalize=True)writer_fake.add_image("fake_img", img_grid_fake, global_step=step)writer_real.add_image("real_img", img_grid_real, global_step=step)step += 1# After training, you can generate a 2D array by sampling from the generator
z = torch.randn(1, 100, 1, 1).to(device)
generated_array = generator(z)