AI公益学习-Generative Adversarial Networks

1.Generative Adversarial Networks

1.1、网络结构

1.2、discriminator

1.3、generator

为了避免由于上面的损失函数存在梯度消失的问题，我们对调整损失函数。


Many of the GANs applications are in the context of images. As a demonstration purpose, we are going to content ourselves with fitting a much simpler distribution first. We will illustrate what happens if we use GANs to build the world’s most inefficient estimator of parameters for a Gaussian. Let’s get started.

%matplotlib inline
import matplotlib.pyplot as plt
from torch.utils.data import DataLoader
from torch import nn
import numpy as np
from torch.autograd import Variable
import torch

1.4、Generate some “real” data

Since this is going to be the world’s lamest example, we simply generate data drawn from a Gaussian.

X=np.random.normal(size=(1000,2))
A=np.array([[1,2],[-0.1,0.5]])
b=np.array([1,2])
data=X.dot(A)+b

Let’s see what we got. This should be a Gaussian shifted in some rather arbitrary way with mean $b$ and covariance matrix $A^TA$.

plt.figure(figsize=(3.5,2.5))
plt.scatter(X[:100,0],X[:100,1],color='red')
plt.show()
plt.figure(figsize=(3.5,2.5))
plt.scatter(data[:100,0],data[:100,1],color='blue')
plt.show()
print("The covariance matrix is\n%s" % np.dot(A.T, A))

batch_size=8
data_iter=DataLoader(data,batch_size=batch_size)

1.5、Generator

Our generator network will be the simplest network possible - a single layer linear model. This is since we will be driving that linear network with a Gaussian data generator. Hence, it literally only needs to learn the parameters to fake things perfectly.

    def __init__(self):
        super(net_G,self).__init__()
        self.model=nn.Sequential(
            nn.Linear(2,2),
        )
        self._initialize_weights()
    def forward(self,x):
        x=self.model(x)
        return x
    def _initialize_weights(self):
        for m in self.modules():
            if isinstance(m,nn.Linear):
                m.weight.data.normal_(0,0.02)
                m.bias.data.zero_()

1.6、Discriminator

For the discriminator we will be a bit more discriminating: we will use an MLP with 3 layers to make things a bit more interesting.

class net_D(nn.Module):
    def __init__(self):
        super(net_D,self).__init__()
        self.model=nn.Sequential(
            nn.Linear(2,5),
            nn.Tanh(),
            nn.Linear(5,3),
            nn.Tanh(),
            nn.Linear(3,1),
            nn.Sigmoid()
        )
        self._initialize_weights()
    def forward(self,x):
        x=self.model(x)
        return x
    def _initialize_weights(self):
        for m in self.modules():
            if isinstance(m,nn.Linear):
                m.weight.data.normal_(0,0.02)
                m.bias.data.zero_()

1.7、Training

First we define a function to update the discriminator.

# Saved in the d2l package for later use
def update_D(X,Z,net_D,net_G,loss,trainer_D):
    batch_size=X.shape[0]
    Tensor=torch.FloatTensor
    ones=Variable(Tensor(np.ones(batch_size))).view(batch_size,1)
    zeros = Variable(Tensor(np.zeros(batch_size))).view(batch_size,1)
    real_Y=net_D(X.float())
    fake_X=net_G(Z)
    fake_Y=net_D(fake_X)
    loss_D=(loss(real_Y,ones)+loss(fake_Y,zeros))/2
    loss_D.backward()
    trainer_D.step()
    return float(loss_D.sum())

The generator is updated similarly. Here we reuse the cross-entropy loss but change the label of the fake data from $0$ to $1$.

# Saved in the d2l package for later use
def update_G(Z,net_D,net_G,loss,trainer_G):
    batch_size=Z.shape[0]
    Tensor=torch.FloatTensor
    ones=Variable(Tensor(np.ones((batch_size,)))).view(batch_size,1)
    fake_X=net_G(Z)
    fake_Y=net_D(fake_X)
    loss_G=loss(fake_Y,ones)
    loss_G.backward()
    trainer_G.step()
    return float(loss_G.sum())
    

Both the discriminator and the generator performs a binary logistic regression with the cross-entropy loss. We use Adam to smooth the training process. In each iteration, we first update the discriminator and then the generator. We visualize both losses and generated examples.

def train(net_D,net_G,data_iter,num_epochs,lr_D,lr_G,latent_dim,data):
    loss=nn.BCELoss()
    Tensor=torch.FloatTensor
    trainer_D=torch.optim.Adam(net_D.parameters(),lr=lr_D)
    trainer_G=torch.optim.Adam(net_G.parameters(),lr=lr_G)
    plt.figure(figsize=(7,4))
    d_loss_point=[]
    g_loss_point=[]
    d_loss=0
    g_loss=0
    for epoch in range(1,num_epochs+1):
        d_loss_sum=0
        g_loss_sum=0
        batch=0
        for X in data_iter:
            batch+=1
            X=Variable(X)
            batch_size=X.shape[0]
            Z=Variable(Tensor(np.random.normal(0,1,(batch_size,latent_dim))))
            trainer_D.zero_grad()
            d_loss = update_D(X, Z, net_D, net_G, loss, trainer_D)
            d_loss_sum+=d_loss
            trainer_G.zero_grad()
            g_loss = update_G(Z, net_D, net_G, loss, trainer_G)
            g_loss_sum+=g_loss
        d_loss_point.append(d_loss_sum/batch)
        g_loss_point.append(g_loss_sum/batch)
    plt.ylabel('Loss', fontdict={'size': 14})
    plt.xlabel('epoch', fontdict={'size': 14})
    plt.xticks(range(0,num_epochs+1,3))
    plt.plot(range(1,num_epochs+1),d_loss_point,color='orange',label='discriminator')
    plt.plot(range(1,num_epochs+1),g_loss_point,color='blue',label='generator')
    plt.legend()
    plt.show()
    print(d_loss,g_loss)
    
    Z =Variable(Tensor( np.random.normal(0, 1, size=(100, latent_dim))))
    fake_X=net_G(Z).detach().numpy()
    plt.figure(figsize=(3.5,2.5))
    plt.scatter(data[:,0],data[:,1],color='blue',label='real')
    plt.scatter(fake_X[:,0],fake_X[:,1],color='orange',label='generated')
    plt.legend()
    plt.show()

Now we specify the hyper-parameters to fit the Gaussian distribution.

if __name__ == '__main__':
    lr_D,lr_G,latent_dim,num_epochs=0.05,0.005,2,20
    generator=net_G()
    discriminator=net_D()
    train(discriminator,generator,data_iter,num_epochs,lr_D,lr_G,latent_dim,data)