def __init__(self, hidden_units, output_units, activation):
"""
:param input_shape:
:param hidden_units: # of right output units
:param output_units: # of top output units
:param activation: # of activations
"""
super().__init__()
self.hidden_units = hidden_units # Hidden units
self.output_units = output_units # output units
self.activation = activation # Activation for hidden state
self.initialize = True
# Initialize all params
self.w = Variable(np.random.normal(
0, 1, (self.hidden_units, self.hidden_units)),
trainable=True)
self.b = Variable(np.random.normal(0, 1, (1, self.hidden_units)),
trainable=True,
param_share=True)
self.c = Variable(np.random.normal(0, 1, (1, self.output_units)),
trainable=True,
param_share=True)
self.v = Variable(np.random.normal(
0, 1, (self.hidden_units, self.output_units)),
trainable=True)
def update_gradient(self, x: Variable):
if x.back_prop is not None:
x.back_prop()
if x.lchild is not None:
self.update_gradient(x.lchild)
if x.rchild is not None:
self.update_gradient(x.rchild)
def tanh(x: Variable):
M = np.average(x.value)
print(np.max(x.value - M))
print(np.min(x.value - M))
output_value = (np.exp(x.value - M) - np.exp(-x.value - M))/(np.exp(x.value - M) + np.exp(-x.value - M))
output = Variable(output_value, lchild=x)
output.back_prop = output.back_tanh
output.tanh_grad_parser = {'M': M,
'xvalue': x.value}
return output
def forward(self, x: Variable):
"""
:param x: x [:::::: vocab_size] a one-hot value
Thing is, we don't really care what's at the front.
We only need to use the last dimension ( which must be a one-hot) to find its mapping.
:return:
"""
self.vocab_size = x.shape[-1]
if self.initialize:
self.mapping = Variable(np.random.normal(0, 1, (self.vocab_size, self.embed_size)),
trainable=True)
self.initialize = False
# First, find the corresponding word representation
embedded_word = x.dot(self.mapping) # n x embed_size
return embedded_word
def forward(self, X):
if self.initialize:
size = X.shape
self.n = size[0]
self.x = size[2]
self.y = size[3]
self.in_channel = size[1]
self.x_new = int((self.x - self.kernel_size[0] + 2 * self.padding[0]) / self.stride[0] + 1)
self.y_new = int((self.y - self.kernel_size[1] + 2 * self.padding[1]) / self.stride[1] + 1)
self.initialize = True
# Generate the new matrix
output = Variable(np.zeros((self.n, self.in_channel, self.x_new, self.y_new)),
lchild=X)
output.mapping = np.zeros((self.n, self.in_channel, self.x_new, self.y_new, 2))
output.size = [self.n, self.in_channel, self.x_new, self.y_new]
for image_idx, image in enumerate(X.value):
for channel_idx in range(self.in_channel):
for i in range(self.x_new):
for j in range(self.y_new):
x_start = int(i * self.stride[0])
x_end = int(x_start + self.kernel_size[0])
y_start = int(j * self.stride[1])
y_end = int(y_start + self.kernel_size[1])
# Forward-prop
clip = image[channel_idx, x_start: x_end, y_start: y_end]
output.value[image_idx, channel_idx, i, j] = np.max(clip)
# Backward-prop
maximum_x = int(np.argmax(clip)/clip.shape[0]) + x_start
maximum_y = np.argmax(clip) % clip.shape[0] + y_start
# 把最大值的位置的坐标记录在mapping里
output.mapping[image_idx, channel_idx, i, j, 0] = maximum_x
output.mapping[image_idx, channel_idx, i, j, 1] = maximum_y
output.back_prop = output.back_maxpooling2d()
return output
def softmax(x: Variable, axis=1):
M = Variable(x.maximum().value) # M must only be a constant
small_x = x - M
exp_small_x = small_x.safe_exp()
inv_sum_exp_small_x = exp_small_x.sum(axis=axis).safe_inv()
long_inv_sum_exp_small_x = inv_sum_exp_small_x.repeat(x.shape[1], axis=axis)
output = exp_small_x.multiply(long_inv_sum_exp_small_x)
'''
The reason we subtract the maximum value from x
is to avoid overflow problem when doing exp()
'''
# exp_sum_inv = 1 / (np.sum(exp_small_x.value, axis=axis))
#
# output_value = np.multiply(exp_small_x.value, exp_sum_inv)
#
# output = Variable(output_value, lchild=x)
# output.back_prop = output.back_softmax
return output
def train_forward(self, x: Variable, h=None):
"""
:param x: shape: (batch_size, sequence_length, vocab_size)
:param h:
:return:
"""
if self.initialize:
self.u = Variable(np.random.normal(
0, 1, (x.shape[1], self.hidden_units)),
trainable=True)
self.initialize = False
if h is None:
# In the first RNNcell, we don't have any hidden layers, so we initialize one
h = Variable(
np.random.normal(0, 1, (x.shape[0], self.hidden_units)))
xu = x.dot(self.u)
hw = h.dot(self.w)
self.a = xu + hw + self.b
self.h = self.activation(self.a)
self.o = self.h.dot(self.v) + self.c
return self.o, self.h
def update_gradient_with_optimizer(self, x: Variable,
optimizer: Optimizer):
# print(type(x))
# Gradient Clipping
mask = (x.gradient < GRADIENT_CLIPPING_THRESHOLD).astype(int)
mask = np.multiply(
mask, (x.gradient > -GRADIENT_CLIPPING_THRESHOLD).astype(int))
contra_mask = 1 - mask
x.gradient = np.multiply(
mask, x.gradient) + contra_mask * GRADIENT_CLIPPING_THRESHOLD
if x.back_prop is not None:
# which means x is an input node
x.back_prop()
if x.trainable:
optimizer.update_once(x)
if x.lchild is not None:
self.update_gradient_with_optimizer(x.lchild, optimizer)
if x.rchild is not None:
self.update_gradient_with_optimizer(x.rchild, optimizer)
def forward(self, x):
'''
:param x:
:return:
'''
self.n = x.shape[0]
assert self.p == x.shape[1]
output_list = []
# Initialize a hidden param
self.h = Variable(np.random.normal(0, 1, (self.n, self.hidden_units)))
for _ in range(self.p):
y, self.h = self.RNN_cell.train_forward(x, self.h)
output_list.append(y)
return output_list, self.h
import numpy as np
from otter.dam.structure import Variable
from otter.dam.graph import Graph
from otter.layers.language import Embedding
with Graph() as g:
vocab_size = 100
embed_size = 10
max_len = 150
data_len = 1000
emb = Embedding(max_len, vocab_size, embed_size)
x = Variable(np.random.randint(0, vocab_size - 1, (data_len, max_len)))
embedded = emb.forward(x)
print(embedded)
# eyed = a.reshape(n, m, 1) * np.eye(m) # # ones = a.reshape(n, m, 1) * np.ones(m) # inverse_ones = a.reshape(n, 1, m) * np.ones((m, m)) # # ds = eyed - np.multiply(ones, inverse_ones) # avg_ds = np.average(ds, axis=0) # # print(ones) # print(inverse_ones) # print(eyed) # print(ds) from otter.dam.structure import Variable a = Variable(np.random.normal(0, 1, (20, 10))) # b = softmax(a) g = Graph() # # c = a.sum(axis=1) # # g.set_and_update_gradient(c, np.arange(20).reshape(20,1)) # g.update_gradient(b) # # print(a.gradient) c = Variable(np.random.randint(0, 9, (20, 1))) sliced = b.slice(c.value.reshape((len(c.value), )), axis=1) mid1 = sliced.safe_log() mid2 = mid1.average() mid3 = mid2.neg()
def ones(shape, dtype):
return Variable(np.ones(shape, dtype))
def relu(x: Variable):
mapping = Variable((x.value > 0).astype(int))
output = x.multiply(mapping)
return output
norm1_list = []
norm2_list = []
g = Graph()
iteration = 1000
batch_size = 1024
total_epoch = int(n / batch_size)
for it_idx in range(iteration):
print(f"The {it_idx}th iteration.")
for epoch in tqdm(range(total_epoch)):
x = x_train[epoch*batch_size: (epoch+1) * batch_size]
y = y_train[epoch*batch_size: (epoch+1) * batch_size]
x = Variable(x)
y = Variable(y)
a = relu(conv1.forward(x))
b = relu(conv2.forward(a))
c = flatten.forward(b)
d = relu(dense1.forward(c))
f = dense2.forward(d)
loss = sparse_categorical_crossentropy_with_softmax(y, f)
acc = sparse_categorical_accuracy(y, f)
# optimizer.learning_rate *= 0.99
g.update_gradient_with_optimizer(loss, optimizer)
loss_list.append(loss.value)
def sigmoid(x: Variable):
return x.neg().safe_exp().add(Variable(np.ones(1))).safe_inv()
def set_and_update_gradient(self, x: Variable, gradient):
assert x.gradient.shape == gradient.shape
x.gradient = gradient
self.update_gradient(x)
def zeros(shape, dtype, *args, **kwargs):
return Variable(np.zeros(shape, dtype), dtype, args, kwargs)
return output_list, self.h
if __name__ == "__main__":
from otter import Variable
from otter.dam.graph import Graph
from otter.ops.activation import softmax
from otter.optimizer import GradientDescent
with Graph() as g:
n = 1000
p = 64 # Sentence Length
q = 5 # Prediction Choices
m = 64 # Embedding Length
x = Variable(np.random.normal(0, 0.1, (n, p)))
y = Variable(np.random.randint(0, q - 1, (n, p)))
layer2 = RNN(input_shape=p,
number_of_rnn_cell=p,
hidden_units=8,
output_units=q,
activation=softmax,
return_sequence=True,
return_state=True)
output, hidden = layer2.forward(x)
print(len(output))
print(output[0].shape)
optimizer = GradientDescent(0.5)
def forward(self, X: Variable):
"""
:param X: X is a 4d tensor, [batch, channel, row, col]
# TODO add channel in different places
:return:
"""
# print("starting convolution.")
def idx_three2one(idx, shape):
new_idx = idx[0] * np.prod(shape[1:]) + idx[1] * shape[2] + idx[2]
return new_idx
# Notice that we only need to calculate mapping once for all epochs
if self.initialize:
self.n, self.in_channel, self.x, self.y = X.shape
# We first calculate the new matrix size.
self.x_new = int((self.x - self.kernel_size[0] + 2 * self.padding[0]) / self.stride[0] + 1)
self.y_new = int((self.y - self.kernel_size[1] + 2 * self.padding[1]) / self.stride[1] + 1)
self.old_length = self.in_channel * self.x * self.y
self.new_length = self.out_channel * self.x_new * self.y_new
# The thing about mapping is that we have to calculate the mapping during each iteration,
# Because w has changed within each iteration
# On the other hand, we have to keep w changing at the same time.
# We only need to initialize b once, with the knowledge of xnew and ynew
# Initialize the kernel
self.w = Variable(np.random.normal(0, 0.01, (self.out_channel, self.in_channel,
self.kernel_size[0], self.kernel_size[1])),
trainable=self.trainable)
self.b = Variable(np.random.normal(0, 0.01, (1, self.out_channel, self.x_new, self.y_new)),
trainable=self.trainable, param_share=True)
'''
Now we create a w2mapping, the mapping itself we only need it once for all.
After we know the mapping, we can easily do the back-prop and forward-prop each time.
'''
self.w2mapping = []
# Logic 1, without sorting
for filter_idx in range(self.out_channel):
for i in range(self.x_new):
for j in range(self.y_new):
# Index for new matrix
mapping_new = idx_three2one((filter_idx, i, j),
(self.out_channel, self.x_new, self.y_new))
x_start = int(i * self.stride[0])
y_start = int(j * self.stride[1])
for ix in range(self.kernel_size[0]):
for jx in range(self.kernel_size[1]):
for channel_idx in range(self.in_channel):
# Index for old matrix
mapping_old = idx_three2one((channel_idx, x_start + ix, y_start + jx),
(self.in_channel, self.x, self.y))
# We have to record, which one in the mapping matrix is from which w
self.w2mapping.append([(filter_idx, channel_idx, ix, jx),
(mapping_old, mapping_new)])
self.initialize = False
# End Initialize
input_image_flattened = X.reshape((self.n, self.old_length))
new_image_flattened = input_image_flattened.sparse_dot_with_mapping(self.w, self.w2mapping,
self.old_length,
self.new_length)
output = new_image_flattened.reshape((self.n, self.out_channel,
self.x_new, self.y_new))
# Add bias if necessary
if self.bias:
output1 = output + self.b
return output1
return output
def forward(self, X: Variable):
self.n, self.c, self.x, self.y = X.shape
output = X.reshape((self.n, self.c * self.x * self.y))
return output
