[필수 과제] LSTM Assignment

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LSTM을 사용하려면 Sequential 데이터를 사용하는데 이것이 쉽지가 않다. 왜냐하면 전처리를 해야하기 때문. 그래서 문자열 데이터가 아니라 MNIST를 가지고 적용을 할것임.

MNIST로 어떻게 LSTM을?

MNIST는 28*28 이미지인데 이를 28개의 28차원의 벡터로 볼 것이다. 28개가 입력되면 이후에 결과값이 나오는데 이를 NN을 한번 더 입력해서 분류를 할것임.

엄밀히 말하면, 28개의 sequence가 fixed 될 필요는 없음. 편의상 28개의 28 dimension짜리 벡터를 집어넣는 분류기를 만들어 볼것임.

LSTM은 텐서플로우에서 구현하기가 너무 어렵다. 파이토치는 편하다.

Classification with LSTM

import numpy as np
import matplotlib.pyplot as plt
import torch
import torch.nn as nn
import torch.optim as optim
import torch.nn.functional as F
%matplotlib inline
%config InlineBackend.figure_format='retina'
print ("PyTorch version:[%s]."%(torch.__version__))
device = torch.device('cuda:0' if torch.cuda.is_available() else 'cpu')
print ("device:[%s]."%(device))
PyTorch version:[1.9.0+cu102].
device:[cuda:0].

Dataset and Loader

from torchvision import datasets,transforms
mnist_train = datasets.MNIST(root='./data/',train=True,transform=transforms.ToTensor(),download=True)
mnist_test = datasets.MNIST(root='./data/',train=False,transform=transforms.ToTensor(),download=True)
BATCH_SIZE = 256
train_iter = torch.utils.data.DataLoader(mnist_train,batch_size=BATCH_SIZE,shuffle=True,num_workers=1)
test_iter = torch.utils.data.DataLoader(mnist_test,batch_size=BATCH_SIZE,shuffle=True,num_workers=1)
print ("Done.")

Define Model

class RecurrentNeuralNetworkClass(nn.Module):
    def __init__(self,name='rnn',xdim=28,hdim=256,ydim=10,n_layer=3):
        super(RecurrentNeuralNetworkClass,self).__init__()
        self.name = name
        self.xdim = xdim
        self.hdim = hdim
        self.ydim = ydim
        self.n_layer = n_layer # K

        self.rnn = nn.LSTM(
            input_size=self.xdim,hidden_size=self.hdim,num_layers=self.n_layer,batch_first=True)
        self.lin = nn.Linear(self.hdim,self.ydim)

    def forward(self,x):
        # Set initial hidden and cell states 
        h0 = torch.zeros(
            self.n_layer,x.size(0),self.hdim
        ).to(device)
        c0 = torch.zeros(
            self.n_layer,x.size(0),self.hdim
        ).to(device)
        # RNN
        rnn_out,(hn,cn) = self.rnn(x, (h0,c0)) 
        # x:[N x L x Q] => rnn_out:[N x L x D]
        # Linear
        out = self.lin(
            # FILL IN HERE
            ).view([-1,self.ydim]) 
        return out 

R = RecurrentNeuralNetworkClass(
    name='rnn',xdim=28,hdim=256,ydim=10,n_layer=2).to(device)
loss = nn.CrossEntropyLoss()
optm = optim.Adam(R.parameters(),lr=1e-3)
print ("Done.")

  • 2 : 28 * 28 의 이미지 이므로 xdim = 28

  • 11 : LSTM의 self state dimension과 output dimension이 같아야한다.

  • 16-21 : layer의 수만큼, 데이터의 길이만큼 크기 설정

Check How LSTM Works

  • N: number of batches

  • L: sequence lengh

  • Q: input dim

  • K: number of layers

  • D: LSTM feature dimension

Y,(hn,cn) = LSTM(X)

  • X: [N x L x Q] - N input sequnce of length L with Q dim.

  • Y: [N x L x D] - N output sequnce of length L with D feature dim.

  • hn: [K x N x D] - K (per each layer) of N final hidden state with D feature dim.

  • cn: [K x N x D] - K (per each layer) of N final hidden state with D cell dim.

np.set_printoptions(precision=3)
torch.set_printoptions(precision=3)
x_numpy = np.random.rand(2,20,28) # [N x L x Q]
x_torch = torch.from_numpy(x_numpy).float().to(device)
rnn_out,(hn,cn) = R.rnn(x_torch) # forward path

print ("rnn_out:",rnn_out.shape) # [N x L x D]
print ("Hidden State hn:",hn.shape) # [K x N x D]
print ("Cell States cn:",cn.shape) # [K x N x D]
rnn_out: torch.Size([2, 20, 256])
Hidden State hn: torch.Size([2, 2, 256])
Cell States cn: torch.Size([2, 2, 256])

Check parameters

np.set_printoptions(precision=3)
n_param = 0
for p_idx,(param_name,param) in enumerate(R.named_parameters()):
    if param.requires_grad:
        param_numpy = param.detach().cpu().numpy() # to numpy array 
        n_param += len(param_numpy.reshape(-1))
        print ("[%d] name:[%s] shape:[%s]."%(p_idx,param_name,param_numpy.shape))
        print ("    val:%s"%(param_numpy.reshape(-1)[:5]))
print ("Total number of parameters:[%s]."%(format(n_param,',d')))
[0] name:[rnn.weight_ih_l0] shape:[(1024, 28)].
    val:[-0.039  0.057 -0.035  0.055  0.007]
[1] name:[rnn.weight_hh_l0] shape:[(1024, 256)].
    val:[-0.008 -0.009  0.025 -0.021 -0.033]
[2] name:[rnn.bias_ih_l0] shape:[(1024,)].
    val:[-0.049  0.035  0.006  0.053 -0.049]
[3] name:[rnn.bias_hh_l0] shape:[(1024,)].
    val:[-0.021  0.046  0.001  0.032 -0.013]
[4] name:[rnn.weight_ih_l1] shape:[(1024, 256)].
    val:[ 0.036 -0.044  0.011  0.011 -0.056]
[5] name:[rnn.weight_hh_l1] shape:[(1024, 256)].
    val:[-0.056 -0.013  0.006 -0.031 -0.052]
[6] name:[rnn.bias_ih_l1] shape:[(1024,)].
    val:[ 0.034  0.052 -0.03   0.03   0.008]
[7] name:[rnn.bias_hh_l1] shape:[(1024,)].
    val:[0.015 0.055 0.047 0.028 0.026]
[8] name:[lin.weight] shape:[(10, 256)].
    val:[-0.043 -0.049 -0.044 -0.014 -0.028]
[9] name:[lin.bias] shape:[(10,)].
    val:[ 0.013 -0.033  0.009  0.031  0.026]
Total number of parameters:[821,770].

생각보다 많은 파라미터를 가지고 있는 것을 알 수 있다. 왜냐하면 사실상 RNN은 Dense Layer이기 때문이다.

  • 각 State별 파라미터 뿐만 아니라 Gate별 파라미터도 존재한다.

  • 파라미터를 줄이려면 Hidden Dimension을 줄여야 한다.

Evaluation Function

np.set_printoptions(precision=3)
torch.set_printoptions(precision=3)
x_numpy = np.random.rand(3,10,28) # [N x L x Q]
x_torch = torch.from_numpy(x_numpy).float().to(device)
y_torch = R.forward(x_torch) # [N x 1 x R] where R is the output dim.
y_numpy = y_torch.detach().cpu().numpy() # torch tensor to numpy array
# print ("x_torch:\n",x_torch)
# print ("y_torch:\n",y_torch)
print ("x_numpy %s"%(x_numpy.shape,))
print ("y_numpy %s"%(y_numpy.shape,))

Initial Evaluation

train_accr = func_eval(R,train_iter,device)
test_accr = func_eval(R,test_iter,device)
print ("train_accr:[%.3f] test_accr:[%.3f]."%(train_accr,test_accr))
train_accr:[0.100] test_accr:[0.103].

Train

print ("Start training.")
R.train() # to train mode 
EPOCHS,print_every = 5,1
for epoch in range(EPOCHS):
    loss_val_sum = 0
    for batch_in,batch_out in train_iter:
        # Forward path
        y_pred = R.forward(batch_in.view(-1,28,28).to(device))
        loss_out = loss(y_pred,batch_out.to(device))
        # Update
        optm.zero_grad() # reset gradient 
        loss_out.backward() # backpropagate
        optm.step() # optimizer update
        loss_val_sum += loss_out
    loss_val_avg = loss_val_sum/len(train_iter)
    # Print
    if ((epoch%print_every)==0) or (epoch==(EPOCHS-1)):
        train_accr = func_eval(R,train_iter,device)
        test_accr = func_eval(R,test_iter,device)
        print ("epoch:[%d] loss:[%.3f] train_accr:[%.3f] test_accr:[%.3f]."%
               (epoch,loss_val_avg,train_accr,test_accr))
print ("Done")
Start training.
epoch:[0] loss:[0.689] train_accr:[0.938] test_accr:[0.940].
epoch:[1] loss:[0.145] train_accr:[0.968] test_accr:[0.967].
epoch:[2] loss:[0.088] train_accr:[0.979] test_accr:[0.975].
epoch:[3] loss:[0.062] train_accr:[0.986] test_accr:[0.981].
epoch:[4] loss:[0.051] train_accr:[0.989] test_accr:[0.983].
Done

굉장히 성능이 잘 나왔다. 오버피팅도 일어나지 않는다.

Test

n_sample = 25
sample_indices = np.random.choice(len(mnist_test.targets),n_sample,replace=False)
test_x = mnist_test.data[sample_indices]
test_y = mnist_test.targets[sample_indices]
with torch.no_grad():
    R.eval() # to evaluation mode 
    y_pred = R.forward(test_x.view(-1,28,28).type(torch.float).to(device)/255.)
y_pred = y_pred.argmax(axis=1)
plt.figure(figsize=(10,10))
for idx in range(n_sample):
    plt.subplot(5, 5, idx+1)
    plt.imshow(test_x[idx], cmap='gray')
    plt.axis('off')
    plt.title("Pred:%d, Label:%d"%(y_pred[idx],test_y[idx]))
plt.show()
print ("Done")

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