深入浅出 diffusion(4):pytorch 实现简单 diffusion

1. 训练和采样流程

2. 无条件实现

python 复制代码
import torch, time, os
import numpy as np
import torch.nn as nn
import torch.optim as optim
from torchvision.datasets import MNIST
from torchvision import transforms
from torch.utils.data import DataLoader
from torchvision.utils import save_image
import torch.nn.functional as F
 
 
class ResidualConvBlock(nn.Module):
    def __init__(
        self, in_channels: int, out_channels: int, is_res: bool = False
    ) -> None:
        super().__init__()
        '''
        standard ResNet style convolutional block
        '''
        self.same_channels = in_channels==out_channels
        self.is_res = is_res
        self.conv1 = nn.Sequential(
            nn.Conv2d(in_channels, out_channels, 3, 1, 1),
            nn.BatchNorm2d(out_channels),
            nn.GELU(),
        )
        self.conv2 = nn.Sequential(
            nn.Conv2d(out_channels, out_channels, 3, 1, 1),
            nn.BatchNorm2d(out_channels),
            nn.GELU(),
        )
 
    def forward(self, x: torch.Tensor) -> torch.Tensor:
        if self.is_res:
            x1 = self.conv1(x)
            x2 = self.conv2(x1)
            # this adds on correct residual in case channels have increased
            if self.same_channels:
                out = x + x2
            else:
                out = x1 + x2
            return out / 1.414
        else:
            x1 = self.conv1(x)
            x2 = self.conv2(x1)
            return x2
 
 
class UnetDown(nn.Module):
    def __init__(self, in_channels, out_channels):
        super(UnetDown, self).__init__()
        '''
        process and downscale the image feature maps
        '''
        layers = [ResidualConvBlock(in_channels, out_channels), nn.MaxPool2d(2)]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x):
        return self.model(x)
 
 
class UnetUp(nn.Module):
    def __init__(self, in_channels, out_channels):
        super(UnetUp, self).__init__()
        '''
        process and upscale the image feature maps
        '''
        layers = [
            nn.ConvTranspose2d(in_channels, out_channels, 2, 2),
            ResidualConvBlock(out_channels, out_channels),
            ResidualConvBlock(out_channels, out_channels),
        ]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x, skip):
        x = torch.cat((x, skip), 1)
        x = self.model(x)
        return x
 
 
class EmbedFC(nn.Module):
    def __init__(self, input_dim, emb_dim):
        super(EmbedFC, self).__init__()
        '''
        generic one layer FC NN for embedding things  
        '''
        self.input_dim = input_dim
        layers = [
            nn.Linear(input_dim, emb_dim),
            nn.GELU(),
            nn.Linear(emb_dim, emb_dim),
        ]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x):
        x = x.view(-1, self.input_dim)
        return self.model(x)
class Unet(nn.Module):
    def __init__(self, in_channels, n_feat=256):
        super(Unet, self).__init__()
 
        self.in_channels = in_channels
        self.n_feat = n_feat
 
        self.init_conv = ResidualConvBlock(in_channels, n_feat, is_res=True)
 
        self.down1 = UnetDown(n_feat, n_feat)
        self.down2 = UnetDown(n_feat, 2 * n_feat)
 
        self.to_vec = nn.Sequential(nn.AvgPool2d(7), nn.GELU())
 
        self.timeembed1 = EmbedFC(1, 2 * n_feat)
        self.timeembed2 = EmbedFC(1, 1 * n_feat)
 
        self.up0 = nn.Sequential(
            # nn.ConvTranspose2d(6 * n_feat, 2 * n_feat, 7, 7), # when concat temb and cemb end up w 6*n_feat
            nn.ConvTranspose2d(2 * n_feat, 2 * n_feat, 7, 7),  # otherwise just have 2*n_feat
            nn.GroupNorm(8, 2 * n_feat),
            nn.ReLU(),
        )
 
        self.up1 = UnetUp(4 * n_feat, n_feat)
        self.up2 = UnetUp(2 * n_feat, n_feat)
        self.out = nn.Sequential(
            nn.Conv2d(2 * n_feat, n_feat, 3, 1, 1),
            nn.GroupNorm(8, n_feat),
            nn.ReLU(),
            nn.Conv2d(n_feat, self.in_channels, 3, 1, 1),
        )
 
    def forward(self, x, t):
        '''
        输入加噪图像和对应的时间step,预测反向噪声的正态分布
        :param x: 加噪图像
        :param t: 对应step
        :return: 正态分布噪声
        '''
        x = self.init_conv(x)
        down1 = self.down1(x)
        down2 = self.down2(down1)
        hiddenvec = self.to_vec(down2)
 
        # embed time step
        temb1 = self.timeembed1(t).view(-1, self.n_feat * 2, 1, 1)
        temb2 = self.timeembed2(t).view(-1, self.n_feat, 1, 1)
 
        # 将上采样输出与step编码相加,输入到下一个上采样层
        up1 = self.up0(hiddenvec)
        up2 = self.up1(up1 + temb1, down2)
        up3 = self.up2(up2 + temb2, down1)
        out = self.out(torch.cat((up3, x), 1))
        return out
 
class DDPM(nn.Module):
    def __init__(self, model, betas, n_T, device):
        super(DDPM, self).__init__()
        self.model = model.to(device)
 
        # register_buffer 可以提前保存alpha相关,节约时间
        for k, v in self.ddpm_schedules(betas[0], betas[1], n_T).items():
            self.register_buffer(k, v)
 
        self.n_T = n_T
        self.device = device
        self.loss_mse = nn.MSELoss()
 
    def ddpm_schedules(self, beta1, beta2, T):
        '''
        提前计算各个step的alpha,这里beta是线性变化
        :param beta1: beta的下限
        :param beta2: beta的下限
        :param T: 总共的step数
        '''
        assert beta1 < beta2 < 1.0, "beta1 and beta2 must be in (0, 1)"
 
        beta_t = (beta2 - beta1) * torch.arange(0, T + 1, dtype=torch.float32) / T + beta1 # 生成beta1-beta2均匀分布的数组
        sqrt_beta_t = torch.sqrt(beta_t)
        alpha_t = 1 - beta_t
        log_alpha_t = torch.log(alpha_t)
        alphabar_t = torch.cumsum(log_alpha_t, dim=0).exp() # alpha累乘
 
        sqrtab = torch.sqrt(alphabar_t) # 根号alpha累乘
        oneover_sqrta = 1 / torch.sqrt(alpha_t) # 1 / 根号alpha
 
        sqrtmab = torch.sqrt(1 - alphabar_t) # 根号下(1-alpha累乘)
        mab_over_sqrtmab_inv = (1 - alpha_t) / sqrtmab
 
        return {
            "alpha_t": alpha_t,  # \alpha_t
            "oneover_sqrta": oneover_sqrta,  # 1/\sqrt{\alpha_t}
            "sqrt_beta_t": sqrt_beta_t,  # \sqrt{\beta_t}
            "alphabar_t": alphabar_t,  # \bar{\alpha_t}
            "sqrtab": sqrtab,  # \sqrt{\bar{\alpha_t}} # 加噪标准差
            "sqrtmab": sqrtmab,  # \sqrt{1-\bar{\alpha_t}}  # 加噪均值
            "mab_over_sqrtmab": mab_over_sqrtmab_inv,  # (1-\alpha_t)/\sqrt{1-\bar{\alpha_t}}
        }
    def forward(self, x):
        """
        训练过程中, 随机选择step和生成噪声
        """
        # 随机选择step
        _ts = torch.randint(1, self.n_T + 1, (x.shape[0],)).to(self.device)  # t ~ Uniform(0, n_T)
        # 随机生成正态分布噪声
        noise = torch.randn_like(x)  # eps ~ N(0, 1)
        # 加噪后的图像x_t
        x_t = (
                self.sqrtab[_ts, None, None, None] * x
                + self.sqrtmab[_ts, None, None, None] * noise
 
        )
 
        # 将unet预测的对应step的正态分布噪声与真实噪声做对比
        return self.loss_mse(noise, self.model(x_t, _ts / self.n_T))
 
    def sample(self, n_sample, size, device):
        # 随机生成初始噪声图片 x_T ~ N(0, 1)
        x_i = torch.randn(n_sample, *size).to(device)
        for i in range(self.n_T, 0, -1):
            t_is = torch.tensor([i / self.n_T]).to(device)
            t_is = t_is.repeat(n_sample, 1, 1, 1)
 
            z = torch.randn(n_sample, *size).to(device) if i > 1 else 0
 
            eps = self.model(x_i, t_is)
            x_i = x_i[:n_sample]
            x_i = self.oneover_sqrta[i] * (x_i - eps * self.mab_over_sqrtmab[i]) + self.sqrt_beta_t[i] * z
        return x_i
 
 
class ImageGenerator(object):
    def __init__(self):
        '''
        初始化,定义超参数、数据集、网络结构等
        '''
        self.epoch = 20
        self.sample_num = 100
        self.batch_size = 256
        self.lr = 0.0001
        self.n_T = 400
        self.device = 'cuda' if torch.cuda.is_available() else 'cpu'
        self.init_dataloader()
        self.sampler = DDPM(model=Unet(in_channels=1), betas=(1e-4, 0.02), n_T=self.n_T, device=self.device).to(self.device)
        self.optimizer = optim.Adam(self.sampler.model.parameters(), lr=self.lr)
 
    def init_dataloader(self):
        '''
        初始化数据集和dataloader
        '''
        tf = transforms.Compose([
            transforms.ToTensor(),
        ])
        train_dataset = MNIST('./data/',
                              train=True,
                              download=True,
                              transform=tf)
        self.train_dataloader = DataLoader(train_dataset, batch_size=self.batch_size, shuffle=True, drop_last=True)
        val_dataset = MNIST('./data/',
                            train=False,
                            download=True,
                            transform=tf)
        self.val_dataloader = DataLoader(val_dataset, batch_size=self.batch_size, shuffle=False)
 
    def train(self):
        self.sampler.train()
        print('训练开始!!')
        for epoch in range(self.epoch):
            self.sampler.model.train()
            loss_mean = 0
            for i, (images, labels) in enumerate(self.train_dataloader):
                images, labels = images.to(self.device), labels.to(self.device)
 
                # 将latent和condition拼接后输入网络
                loss = self.sampler(images)
                loss_mean += loss.item()
                self.optimizer.zero_grad()
                loss.backward()
                self.optimizer.step()
            train_loss = loss_mean / len(self.train_dataloader)
            print('epoch:{}, loss:{:.4f}'.format(epoch, train_loss))
            self.visualize_results(epoch)
 
    @torch.no_grad()
    def visualize_results(self, epoch):
        self.sampler.eval()
        # 保存结果路径
        output_path = 'results/Diffusion'
        if not os.path.exists(output_path):
            os.makedirs(output_path)
 
        tot_num_samples = self.sample_num
        image_frame_dim = int(np.floor(np.sqrt(tot_num_samples)))
        out = self.sampler.sample(tot_num_samples, (1, 28, 28), self.device)
        save_image(out, os.path.join(output_path, '{}.jpg'.format(epoch)), nrow=image_frame_dim)
 
 
 
if __name__ == '__main__':
    generator = ImageGenerator()
    generator.train()

3. 有条件实现

python 复制代码
import torch, time, os
import numpy as np
import torch.nn as nn
import torch.optim as optim
from torchvision.datasets import MNIST
from torchvision import transforms
from torch.utils.data import DataLoader
from torchvision.utils import save_image
import torch.nn.functional as F
 
 
class ResidualConvBlock(nn.Module):
    def __init__(
        self, in_channels: int, out_channels: int, is_res: bool = False
    ) -> None:
        super().__init__()
        '''
        standard ResNet style convolutional block
        '''
        self.same_channels = in_channels==out_channels
        self.is_res = is_res
        self.conv1 = nn.Sequential(
            nn.Conv2d(in_channels, out_channels, 3, 1, 1),
            nn.BatchNorm2d(out_channels),
            nn.GELU(),
        )
        self.conv2 = nn.Sequential(
            nn.Conv2d(out_channels, out_channels, 3, 1, 1),
            nn.BatchNorm2d(out_channels),
            nn.GELU(),
        )
 
    def forward(self, x: torch.Tensor) -> torch.Tensor:
        if self.is_res:
            x1 = self.conv1(x)
            x2 = self.conv2(x1)
            # this adds on correct residual in case channels have increased
            if self.same_channels:
                out = x + x2
            else:
                out = x1 + x2
            return out / 1.414
        else:
            x1 = self.conv1(x)
            x2 = self.conv2(x1)
            return x2
 
 
class UnetDown(nn.Module):
    def __init__(self, in_channels, out_channels):
        super(UnetDown, self).__init__()
        '''
        process and downscale the image feature maps
        '''
        layers = [ResidualConvBlock(in_channels, out_channels), nn.MaxPool2d(2)]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x):
        return self.model(x)
 
 
class UnetUp(nn.Module):
    def __init__(self, in_channels, out_channels):
        super(UnetUp, self).__init__()
        '''
        process and upscale the image feature maps
        '''
        layers = [
            nn.ConvTranspose2d(in_channels, out_channels, 2, 2),
            ResidualConvBlock(out_channels, out_channels),
            ResidualConvBlock(out_channels, out_channels),
        ]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x, skip):
        x = torch.cat((x, skip), 1)
        x = self.model(x)
        return x
 
 
class EmbedFC(nn.Module):
    def __init__(self, input_dim, emb_dim):
        super(EmbedFC, self).__init__()
        '''
        generic one layer FC NN for embedding things  
        '''
        self.input_dim = input_dim
        layers = [
            nn.Linear(input_dim, emb_dim),
            nn.GELU(),
            nn.Linear(emb_dim, emb_dim),
        ]
        self.model = nn.Sequential(*layers)
 
    def forward(self, x):
        x = x.view(-1, self.input_dim)
        return self.model(x)
class Unet(nn.Module):
    def __init__(self, in_channels, n_feat=256, n_classes=10):
        super(Unet, self).__init__()
 
        self.in_channels = in_channels
        self.n_feat = n_feat
 
        self.init_conv = ResidualConvBlock(in_channels, n_feat, is_res=True)
 
        self.down1 = UnetDown(n_feat, n_feat)
        self.down2 = UnetDown(n_feat, 2 * n_feat)
 
        self.to_vec = nn.Sequential(nn.AvgPool2d(7), nn.GELU())
 
        self.timeembed1 = EmbedFC(1, 2 * n_feat)
        self.timeembed2 = EmbedFC(1, 1 * n_feat)
        self.conditionembed1 = EmbedFC(n_classes, 2 * n_feat)
        self.conditionembed2 = EmbedFC(n_classes, 1 * n_feat)
 
        self.up0 = nn.Sequential(
            # nn.ConvTranspose2d(6 * n_feat, 2 * n_feat, 7, 7), # when concat temb and cemb end up w 6*n_feat
            nn.ConvTranspose2d(2 * n_feat, 2 * n_feat, 7, 7),  # otherwise just have 2*n_feat
            nn.GroupNorm(8, 2 * n_feat),
            nn.ReLU(),
        )
 
        self.up1 = UnetUp(4 * n_feat, n_feat)
        self.up2 = UnetUp(2 * n_feat, n_feat)
        self.out = nn.Sequential(
            nn.Conv2d(2 * n_feat, n_feat, 3, 1, 1),
            nn.GroupNorm(8, n_feat),
            nn.ReLU(),
            nn.Conv2d(n_feat, self.in_channels, 3, 1, 1),
        )
 
    def forward(self, x, c, t):
        '''
        输入加噪图像和对应的时间step,预测反向噪声的正态分布
        :param x: 加噪图像
        :param c: contition向量
        :param t: 对应step
        :return: 正态分布噪声
        '''
        x = self.init_conv(x)
        down1 = self.down1(x)
        down2 = self.down2(down1)
        hiddenvec = self.to_vec(down2)
 
        # embed time step
        temb1 = self.timeembed1(t).view(-1, self.n_feat * 2, 1, 1)
        temb2 = self.timeembed2(t).view(-1, self.n_feat, 1, 1)
        cemb1 = self.conditionembed1(c).view(-1, self.n_feat * 2, 1, 1)
        cemb2 = self.conditionembed2(c).view(-1, self.n_feat, 1, 1)
 
        # 将上采样输出与step编码相加,输入到下一个上采样层
        up1 = self.up0(hiddenvec)
        up2 = self.up1(cemb1 * up1 + temb1, down2)
        up3 = self.up2(cemb2 * up2 + temb2, down1)
        out = self.out(torch.cat((up3, x), 1))
        return out
 
class DDPM(nn.Module):
    def __init__(self, model, betas, n_T, device):
        super(DDPM, self).__init__()
        self.model = model.to(device)
 
        # register_buffer 可以提前保存alpha相关,节约时间
        for k, v in self.ddpm_schedules(betas[0], betas[1], n_T).items():
            self.register_buffer(k, v)
 
        self.n_T = n_T
        self.device = device
        self.loss_mse = nn.MSELoss()
 
    def ddpm_schedules(self, beta1, beta2, T):
        '''
        提前计算各个step的alpha,这里beta是线性变化
        :param beta1: beta的下限
        :param beta2: beta的下限
        :param T: 总共的step数
        '''
        assert beta1 < beta2 < 1.0, "beta1 and beta2 must be in (0, 1)"
 
        beta_t = (beta2 - beta1) * torch.arange(0, T + 1, dtype=torch.float32) / T + beta1 # 生成beta1-beta2均匀分布的数组
        sqrt_beta_t = torch.sqrt(beta_t)
        alpha_t = 1 - beta_t
        log_alpha_t = torch.log(alpha_t)
        alphabar_t = torch.cumsum(log_alpha_t, dim=0).exp() # alpha累乘
 
        sqrtab = torch.sqrt(alphabar_t) # 根号alpha累乘
        oneover_sqrta = 1 / torch.sqrt(alpha_t) # 1 / 根号alpha
 
        sqrtmab = torch.sqrt(1 - alphabar_t) # 根号下(1-alpha累乘)
        mab_over_sqrtmab_inv = (1 - alpha_t) / sqrtmab
 
        return {
            "alpha_t": alpha_t,  # \alpha_t
            "oneover_sqrta": oneover_sqrta,  # 1/\sqrt{\alpha_t}
            "sqrt_beta_t": sqrt_beta_t,  # \sqrt{\beta_t}
            "alphabar_t": alphabar_t,  # \bar{\alpha_t}
            "sqrtab": sqrtab,  # \sqrt{\bar{\alpha_t}} # 加噪标准差
            "sqrtmab": sqrtmab,  # \sqrt{1-\bar{\alpha_t}}  # 加噪均值
            "mab_over_sqrtmab": mab_over_sqrtmab_inv,  # (1-\alpha_t)/\sqrt{1-\bar{\alpha_t}}
        }
 
    def forward(self, x, c):
        """
        训练过程中, 随机选择step和生成噪声
        """
        # 随机选择step
        _ts = torch.randint(1, self.n_T + 1, (x.shape[0],)).to(self.device)  # t ~ Uniform(0, n_T)
        # 随机生成正态分布噪声
        noise = torch.randn_like(x)  # eps ~ N(0, 1)
        # 加噪后的图像x_t
        x_t = (
                self.sqrtab[_ts, None, None, None] * x
                + self.sqrtmab[_ts, None, None, None] * noise
 
        )
 
        # 将unet预测的对应step的正态分布噪声与真实噪声做对比
        return self.loss_mse(noise, self.model(x_t, c, _ts / self.n_T))
 
    def sample(self, n_sample, c, size, device):
        # 随机生成初始噪声图片 x_T ~ N(0, 1)
        x_i = torch.randn(n_sample, *size).to(device)
        for i in range(self.n_T, 0, -1):
            t_is = torch.tensor([i / self.n_T]).to(device)
            t_is = t_is.repeat(n_sample, 1, 1, 1)
 
            z = torch.randn(n_sample, *size).to(device) if i > 1 else 0
 
            eps = self.model(x_i, c, t_is)
            x_i = x_i[:n_sample]
            x_i = self.oneover_sqrta[i] * (x_i - eps * self.mab_over_sqrtmab[i]) + self.sqrt_beta_t[i] * z
        return x_i
 
 
class ImageGenerator(object):
    def __init__(self):
        '''
        初始化,定义超参数、数据集、网络结构等
        '''
        self.epoch = 20
        self.sample_num = 100
        self.batch_size = 256
        self.lr = 0.0001
        self.n_T = 400
        self.device = 'cuda' if torch.cuda.is_available() else 'cpu'
        self.init_dataloader()
        self.sampler = DDPM(model=Unet(in_channels=1), betas=(1e-4, 0.02), n_T=self.n_T, device=self.device).to(self.device)
        self.optimizer = optim.Adam(self.sampler.model.parameters(), lr=self.lr)
 
    def init_dataloader(self):
        '''
        初始化数据集和dataloader
        '''
        tf = transforms.Compose([
            transforms.ToTensor(),
        ])
        train_dataset = MNIST('./data/',
                              train=True,
                              download=True,
                              transform=tf)
        self.train_dataloader = DataLoader(train_dataset, batch_size=self.batch_size, shuffle=True, drop_last=True)
        val_dataset = MNIST('./data/',
                            train=False,
                            download=True,
                            transform=tf)
        self.val_dataloader = DataLoader(val_dataset, batch_size=self.batch_size, shuffle=False)
 
    def train(self):
        self.sampler.train()
        print('训练开始!!')
        for epoch in range(self.epoch):
            self.sampler.model.train()
            loss_mean = 0
            for i, (images, labels) in enumerate(self.train_dataloader):
                images, labels = images.to(self.device), labels.to(self.device)
                labels = F.one_hot(labels, num_classes=10).float()
                # 将latent和condition拼接后输入网络
                loss = self.sampler(images, labels)
                loss_mean += loss.item()
                self.optimizer.zero_grad()
                loss.backward()
                self.optimizer.step()
            train_loss = loss_mean / len(self.train_dataloader)
            print('epoch:{}, loss:{:.4f}'.format(epoch, train_loss))
            self.visualize_results(epoch)
 
    @torch.no_grad()
    def visualize_results(self, epoch):
        self.sampler.eval()
        # 保存结果路径
        output_path = 'results/Diffusion'
        if not os.path.exists(output_path):
            os.makedirs(output_path)
 
        tot_num_samples = self.sample_num
        image_frame_dim = int(np.floor(np.sqrt(tot_num_samples)))
        labels = F.one_hot(torch.Tensor(np.repeat(np.arange(10), 10)).to(torch.int64), num_classes=10).to(self.device).float()
        out = self.sampler.sample(tot_num_samples, labels, (1, 28, 28), self.device)
        save_image(out, os.path.join(output_path, '{}.jpg'.format(epoch)), nrow=image_frame_dim)
 
 
 
if __name__ == '__main__':
    generator = ImageGenerator()
    generator.train()
相关推荐
Land03293 分钟前
RPA工具选型技术指南:架构差异与实测数据
python·自动化·rpa
冬奇Lab12 分钟前
一天一个开源项目(第94篇):Agent Skills - 为 AI 代码助手注入工程师级纪律
人工智能·开源·资讯
kafei_*14 分钟前
VScode 添加 UV虚拟环境方法
vscode·python·uv
冬奇Lab16 分钟前
RAG 系列(九):效果不好怎么定位——用 RAGAS 做根因诊断
人工智能·llm·源码
火山引擎开发者社区17 分钟前
ArkClaw 的技能是不是越多越好?很多人一开始就想错了
人工智能
火山引擎开发者社区24 分钟前
星穹方舟基于火山引擎 ArkClaw 推出全场景龙虾硬件
人工智能
甲维斯1 小时前
JCode支持Claude和第三方模型tokens统计!
人工智能·ai编程
洛_尘1 小时前
Python 5:使用库
java·前端·python
拓朗工控1 小时前
深度学习工控机部署实战:从硬件选型到稳定运行的避坑指南
人工智能·深度学习·智能电视·工控机
iDao技术魔方1 小时前
DeepSeek TUI:原生 Rust 打造的终端 AI 编码 Agent
开发语言·人工智能·rust