layers.py
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# coding: utf-8
#import cupy as cp
import numpy as cp
import numpy as np
from functions import *
from util import im2col, col2im, DW_im2col
class Relu:
def __init__(self):
self.mask = None
def forward(self, x):
self.mask = (x <= 0)
out = x.copy()
out[self.mask] = 0
return out
def backward(self, dout):
dout[self.mask] = 0
dx = dout
return dx
class Sigmoid:
def __init__(self):
self.out = None
def forward(self, x):
out = sigmoid(x)
self.out = out
return out
def backward(self, dout):
dx = dout * (1.0 - self.out) * self.out
return dx
class Affine:
def __init__(self, W):
self.W =W
# self.b = b
self.x = None
self.original_x_shape = None
# 重み・バイアスパラメータの微分
self.dW = None
# self.db = None
def forward(self, x):
# テンソル対応
self.original_x_shape = x.shape
x = x.reshape(x.shape[0], -1)
self.x = x
out = cp.dot(self.x, self.W) #+ self.b
return out
def backward(self, dout):
dx = cp.dot(dout, self.W.T)
self.dW = cp.dot(self.x.T, dout)
# self.db = cp.sum(dout, axis=0)
dx = dx.reshape(*self.original_x_shape) # 入力データの形状に戻す(テンソル対応)
return dx
class SoftmaxWithLoss:
def __init__(self):
self.loss = None
self.y = None # softmaxの出力
self.t = None # 教師データ
def forward(self, x, t):
self.t = t
self.y = softmax(x)
self.loss = cross_entropy_error(self.y, self.t)
return self.loss
def backward(self, dout=1):
batch_size = self.t.shape[0]
if self.t.size == self.y.size: # 教師データがone-hot-vectorの場合
dx = (self.y - self.t) / batch_size
else:
dx = self.y.copy()
dx[np.arange(batch_size), self.t] -= 1
dx = dx / batch_size
return dx
class Dropout:
"""
http://arxiv.org/abs/1207.0580
"""
def __init__(self, dropout_ratio=0.5):
self.dropout_ratio = dropout_ratio
self.mask = None
def forward(self, x, train_flg=True):
if train_flg:
self.mask = np.random.rand(*x.shape) > self.dropout_ratio
return x * self.mask
else:
return x * (1.0 - self.dropout_ratio)
def backward(self, dout):
return dout * self.mask
class LightNormalization:
"""
"""
def __init__(self, momentum=0.9, running_mean=None, running_var=None):
self.momentum = momentum
self.input_shape = None # Conv層の場合は4次元、全結合層の場合は2次元
# テスト時に使用する平均と分散
self.running_mean = running_mean
self.running_var = running_var
# backward時に使用する中間データ
self.batch_size = None
self.xc = None
self.std = None
def forward(self, x, train_flg=True):
self.input_shape = x.shape
if x.ndim == 2:
N, D = x.shape
x = x.reshape(N, D, 1, 1)
x = x.transpose(0, 2, 3, 1)
out = self.__forward(x, train_flg)
out = out.transpose(0, 3, 1, 2)
return out.reshape(*self.input_shape)
def __forward(self, x, train_flg):
if self.running_mean is None:
N, H, W, C = x.shape
self.running_mean = cp.zeros(C, dtype=np.float32)
self.running_var = cp.zeros(C, dtype=np.float32)
if train_flg:
mu = x.mean(axis=(0, 1, 2))
xc = x - mu
var = cp.mean(xc**2, axis=(0, 1, 2), dtype=np.float32)
std = cp.sqrt(var + 10e-7, dtype=np.float32)
xn = xc / std
self.batch_size = x.shape[0]
self.xc = xc
self.xn = xn
self.std = std
self.running_mean = self.momentum * self.running_mean + (1-self.momentum) * mu
self.running_var = self.momentum * self.running_var + (1-self.momentum) * var
else:
xc = x - self.running_mean
xn = xc / ((cp.sqrt(self.running_var + 10e-7, dtype=np.float32)))
out = xn
return out
def backward(self, dout):
if dout.ndim == 2:
N, D = dout.shape
dout = dout.reshape(N, D, 1, 1)
dout = dout.transpose(0, 2, 3, 1)
dx = self.__backward(dout)
dx = dx.transpose(0, 3, 1, 2)
dx = dx.reshape(*self.input_shape)
return dx
def __backward(self, dout):
dxn = dout
dxc = dxn / self.std
dstd = -cp.sum((dxn * self.xc) / (self.std * self.std), axis=0)
dvar = 0.5 * dstd / self.std
dxc += (2.0 / self.batch_size) * self.xc * dvar
dmu = cp.sum(dxc, axis=0)
dx = dxc - dmu / self.batch_size
return dx
class BatchNormalization:
"""
http://arxiv.org/abs/1502.03167
"""
def __init__(self, gamma, beta, momentum=0.9, running_mean=None, running_var=None):
self.gamma = gamma
self.beta = beta
self.momentum = momentum
self.input_shape = None # Conv層の場合は4次元、全結合層の場合は2次元
# テスト時に使用する平均と分散
self.running_mean = running_mean
self.running_var = running_var
# backward時に使用する中間データ
self.batch_size = None
self.xc = None
self.std = None
self.dgamma = None
self.dbeta = None
def forward(self, x, train_flg=True):
self.input_shape = x.shape
if x.ndim != 2:
N, C, H, W = x.shape
x = x.reshape(N, -1)
out = self.__forward(x, train_flg)
return out.reshape(*self.input_shape)
def __forward(self, x, train_flg):
if self.running_mean is None:
N, D = x.shape
self.running_mean = cp.zeros(D, dtype=np.float32)
self.running_var = cp.zeros(D, dtype=np.float32)
if train_flg:
mu = x.mean(axis=0)
xc = x - mu
var = cp.mean(xc**2, axis=0, dtype=np.float32)
std = cp.sqrt(var + 10e-7, dtype=np.float32)
xn = xc / std
self.batch_size = x.shape[0]
self.xc = xc
self.xn = xn
self.std = std
self.running_mean = self.momentum * self.running_mean + (1-self.momentum) * mu
self.running_var = self.momentum * self.running_var + (1-self.momentum) * var
else:
xc = x - self.running_mean
xn = xc / ((cp.sqrt(self.running_var + 10e-7, dtype=np.float32)))
out = self.gamma * xn + self.beta
return out
def backward(self, dout):
if dout.ndim != 2:
N, C, H, W = dout.shape
dout = dout.reshape(N, -1)
dx = self.__backward(dout)
dx = dx.reshape(*self.input_shape)
return dx
def __backward(self, dout):
dbeta = dout.sum(axis=0)
dgamma = cp.sum(self.xn * dout, axis=0)
dxn = self.gamma * dout
dxc = dxn / self.std
dstd = -cp.sum((dxn * self.xc) / (self.std * self.std), axis=0)
dvar = 0.5 * dstd / self.std
dxc += (2.0 / self.batch_size) * self.xc * dvar
dmu = cp.sum(dxc, axis=0)
dx = dxc - dmu / self.batch_size
self.dgamma = dgamma
self.dbeta = dbeta
return dx
class Convolution:
def __init__(self, W, stride=1, pad=0):
self.W = W
self.stride = stride
self.pad = pad
self.x = None
self.col = None
self.col_W = None
self.dW = None
def forward(self, x):
FN, C, FH, FW = self.W.shape
N, C, H, W = x.shape
out_h = 1 + int((H + 2*self.pad - FH) / self.stride)
out_w = 1 + int((W + 2*self.pad - FW) / self.stride)
col = im2col(x, FH, FW, self.stride, self.pad)
col_W = self.W.reshape(FN, -1).T
out = cp.dot(col, col_W)
out = out.reshape(N, out_h, out_w, -1).transpose(0, 3, 1, 2)
self.x = x
self.col = col
self.col_W = col_W
return out
def backward(self, dout):
FN, C, FH, FW = self.W.shape
dout = dout.transpose(0,2,3,1).reshape(-1, FN)
self.dW = cp.dot(self.col.T, dout)
self.dW = self.dW.transpose(1, 0).reshape(FN, C, FH, FW)
dcol = cp.dot(dout, self.col_W.T)
dx = col2im(dcol, self.x.shape, FH, FW, self.stride, self.pad)
return dx
class Pooling:
def __init__(self, pool_h, pool_w, stride=1, pad=0):
self.pool_h = pool_h
self.pool_w = pool_w
self.stride = stride
self.pad = pad
self.x = None
self.arg_max = None
def forward(self, x):
N, C, H, W = x.shape
out_h = int(1 + (H - self.pool_h) / self.stride)
out_w = int(1 + (W - self.pool_w) / self.stride)
col = im2col(x, self.pool_h, self.pool_w, self.stride, self.pad)
col = col.reshape(-1, self.pool_h*self.pool_w)
arg_max = cp.argmax(col, axis=1)
out = cp.array(cp.max(col, axis=1), dtype=np.float32)
out = out.reshape(N, out_h, out_w, C).transpose(0, 3, 1, 2)
self.x = x
self.arg_max = arg_max
return out
def backward(self, dout):
dout = dout.transpose(0, 2, 3, 1)
pool_size = self.pool_h * self.pool_w
dmax = cp.zeros((dout.size, pool_size), dtype=np.float32)
dmax[cp.arange(self.arg_max.size), self.arg_max.flatten()] = dout.flatten()
dmax = dmax.reshape(dout.shape + (pool_size,))
dcol = dmax.reshape(dmax.shape[0] * dmax.shape[1] * dmax.shape[2], -1)
dx = col2im(dcol, self.x.shape, self.pool_h, self.pool_w, self.stride, self.pad)
return dx
class DW_Convolution:
def __init__(self, W, stride=1, pad=0):
self.W = W
self.stride = stride
self.pad = pad
self.x = None
self.col = None
self.col_W = None
self.dW = None
self.db = None
def forward(self, x):
FN, C, FH, FW = self.W.shape
N, C, H, W = x.shape
out_h = 1 + int((H + 2*self.pad - FH) / self.stride)
out_w = 1 + int((W + 2*self.pad - FW) / self.stride)
col = DW_im2col(x, FH, FW, self.stride, self.pad)
col_W = self.W.reshape(FN, -1).T
outlist = []
outlist = np.zeros((FN, N*H*W, 1))
for count in range(FN):
outlist[count] = np.dot(col[count, :, :], col_W[:, count]).reshape(-1,1)
out = outlist.transpose(1,0,2)
out = out.reshape(N, out_h, out_w, -1).transpose(0, 3, 1, 2)
self.x = x
self.col = col
self.col_W = col_W
return out
def backward(self, dout):
FN, C, FH, FW = self.W.shape
N, XC, H, W = dout.shape
dout = dout.transpose(0,2,3,1).reshape(-1, FN)
dW_list = np.zeros((FN, FH*FW))
dcol_list = np.zeros((N * H * W, FN, FH * FW))
for count in range(FN):
dW_list[count] = np.dot(self.col[count].transpose(1,0), dout[:, count])
dcol_list[:,count,:] = np.dot(dout[:,count].reshape(-1,1), self.col_W.T[count,:].reshape(1,-1))
self.dW = dW_list
self.dW = self.dW.reshape(FN, C, FH, FW)
dcol = dcol_list
dx = col2im(dcol, self.x.shape, FH, FW, self.stride, self.pad)
return dx