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test.py
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"""
Some key layers used for constructing a Capsule Network. These layers can used to construct CapsNet on other dataset,
not just on MNIST.
*NOTE*: some functions can be implemented in multiple ways, I keep all of them. You can try them for yourself just by
uncommenting them and commenting their counterparts.
Author: Xifeng Guo, E-mail: `[email protected]`, Github: `https://github.com/XifengGuo/CapsNet-Keras`
"""
import keras.backend as K
import tensorflow as tf
from keras import initializers, layers
class Length(layers.Layer):
"""
Compute the length of vectors. This is used to compute a Tensor that has the same shape with y_true in margin_loss.
Using this layer as model's output can directly predict labels by using `y_pred = np.argmax(model.predict(x), 1)`
inputs: shape=[None, num_vectors, dim_vector]
output: shape=[None, num_vectors]
"""
def call(self, inputs, **kwargs):
return K.sqrt(K.sum(K.square(inputs), -1))
def compute_output_shape(self, input_shape):
return input_shape[:-1]
class Mask(layers.Layer):
"""
Mask a Tensor with shape=[None, num_capsule, dim_vector] either by the capsule with max length or by an additional
input mask. Except the max-length capsule (or specified capsule), all vectors are masked to zeros. Then flatten the
masked Tensor.
For example:
```
x = keras.layers.Input(shape=[8, 3, 2]) # batch_size=8, each sample contains 3 capsules with dim_vector=2
y = keras.layers.Input(shape=[8, 3]) # True labels. 8 samples, 3 classes, one-hot coding.
out = Mask()(x) # out.shape=[8, 6]
# or
out2 = Mask()([x, y]) # out2.shape=[8,6]. Masked with true labels y. Of course y can also be manipulated.
```
"""
def call(self, inputs, **kwargs):
if type(inputs) is list: # true label is provided with shape = [None, n_classes], i.e. one-hot code.
assert len(inputs) == 2
inputs, mask = inputs
else: # if no true label, mask by the max length of capsules. Mainly used for prediction
# compute lengths of capsules
x = K.sqrt(K.sum(K.square(inputs), -1))
# generate the mask which is a one-hot code.
# mask.shape=[None, n_classes]=[None, num_capsule]
mask = K.one_hot(indices=K.argmax(x, 1), num_classes=x.get_shape().as_list()[1])
# inputs.shape=[None, num_capsule, dim_capsule]
# mask.shape=[None, num_capsule]
# masked.shape=[None, num_capsule * dim_capsule]
masked = K.batch_flatten(inputs * K.expand_dims(mask, -1))
return masked
def compute_output_shape(self, input_shape):
if type(input_shape[0]) is tuple: # true label provided
return tuple([None, input_shape[0][1] * input_shape[0][2]])
else: # no true label provided
return tuple([None, input_shape[1] * input_shape[2]])
def squash(vectors, axis=-1):
"""
The non-linear activation used in Capsule. It drives the length of a large vector to near 1 and small vector to 0
:param vectors: some vectors to be squashed, N-dim tensor
:param axis: the axis to squash
:return: a Tensor with same shape as input vectors
"""
s_squared_norm = K.sum(K.square(vectors), axis, keepdims=True)
scale = s_squared_norm / (1 + s_squared_norm) / K.sqrt(s_squared_norm + K.epsilon())
return scale * vectors
class CapsuleLayer(layers.Layer):
"""
The capsule layer. It is similar to Dense layer. Dense layer has `in_num` inputs, each is a scalar, the output of the
neuron from the former layer, and it has `out_num` output neurons. CapsuleLayer just expand the output of the neuron
from scalar to vector. So its input shape = [None, input_num_capsule, input_dim_capsule] and output shape = \
[None, num_capsule, dim_capsule]. For Dense Layer, input_dim_capsule = dim_capsule = 1.
:param num_capsule: number of capsules in this layer
:param dim_capsule: dimension of the output vectors of the capsules in this layer
:param routings: number of iterations for the routing algorithm
"""
def __init__(self, num_capsule, dim_capsule, routings=3,
kernel_initializer='glorot_uniform',
**kwargs):
super(CapsuleLayer, self).__init__(**kwargs)
self.num_capsule = num_capsule
self.dim_capsule = dim_capsule
self.routings = routings
self.kernel_initializer = initializers.get(kernel_initializer)
def build(self, input_shape):
assert len(input_shape) >= 3, "The input Tensor should have shape=[None, input_num_capsule, input_dim_capsule]"
self.input_num_capsule = input_shape[1]
self.input_dim_capsule = input_shape[2]
# Transform matrix
self.W = self.add_weight(shape=[self.num_capsule, self.input_num_capsule,
self.dim_capsule, self.input_dim_capsule],
initializer=self.kernel_initializer,
name='W')
self.built = True
def call(self, inputs, training=None):
# inputs.shape=[None, input_num_capsule, input_dim_capsule]
# inputs_expand.shape=[None, 1, input_num_capsule, input_dim_capsule]
inputs_expand = K.expand_dims(inputs, 1)
# Replicate num_capsule dimension to prepare being multiplied by W
# inputs_tiled.shape=[None, num_capsule, input_num_capsule, input_dim_capsule]
inputs_tiled = K.tile(inputs_expand, [1, self.num_capsule, 1, 1])
# Compute `inputs * W` by scanning inputs_tiled on dimension 0.
# x.shape=[num_capsule, input_num_capsule, input_dim_capsule]
# W.shape=[num_capsule, input_num_capsule, dim_capsule, input_dim_capsule]
# Regard the first two dimensions as `batch` dimension,
# then matmul: [input_dim_capsule] x [dim_capsule, input_dim_capsule]^T -> [dim_capsule].
# inputs_hat.shape = [None, num_capsule, input_num_capsule, dim_capsule]
inputs_hat = K.map_fn(lambda x: K.batch_dot(x, self.W, [2, 3]), elems=inputs_tiled)
# Begin: Routing algorithm ---------------------------------------------------------------------#
# The prior for coupling coefficient, initialized as zeros.
# b.shape = [None, self.num_capsule, self.input_num_capsule].
b = tf.zeros(shape=[K.shape(inputs_hat)[0], self.num_capsule, self.input_num_capsule])
assert self.routings > 0, 'The routings should be > 0.'
for i in range(self.routings):
# c.shape=[batch_size, num_capsule, input_num_capsule]
c = tf.nn.softmax(b, dim=1)
# c.shape = [batch_size, num_capsule, input_num_capsule]
# inputs_hat.shape=[None, num_capsule, input_num_capsule, dim_capsule]
# The first two dimensions as `batch` dimension,
# then matmal: [input_num_capsule] x [input_num_capsule, dim_capsule] -> [dim_capsule].
# outputs.shape=[None, num_capsule, dim_capsule]
outputs = squash(K.batch_dot(c, inputs_hat, [2, 2])) # [None, 10, 16]
if i < self.routings - 1:
# outputs.shape = [None, num_capsule, dim_capsule]
# inputs_hat.shape=[None, num_capsule, input_num_capsule, dim_capsule]
# The first two dimensions as `batch` dimension,
# then matmal: [dim_capsule] x [input_num_capsule, dim_capsule]^T -> [input_num_capsule].
# b.shape=[batch_size, num_capsule, input_num_capsule]
b += K.batch_dot(outputs, inputs_hat, [2, 3])
# End: Routing algorithm -----------------------------------------------------------------------#
return outputs
def compute_output_shape(self, input_shape):
return tuple([None, self.num_capsule, self.dim_capsule])
def PrimaryCap(inputs, dim_capsule, n_channels, kernel_size, strides, padding):
"""
Apply Conv2D `n_channels` times and concatenate all capsules
:param inputs: 4D tensor, shape=[None, width, height, channels]
:param dim_capsule: the dim of the output vector of capsule
:param n_channels: the number of types of capsules
:return: output tensor, shape=[None, num_capsule, dim_capsule]
"""
output = layers.Conv2D(filters=dim_capsule*n_channels, kernel_size=kernel_size, strides=strides, padding=padding,
name='primarycap_conv2d')(inputs)
outputs = layers.Reshape(target_shape=[-1, dim_capsule], name='primarycap_reshape')(output)
return layers.Lambda(squash, name='primarycap_squash')(outputs)
"""
# The following is another way to implement primary capsule layer. This is much slower.
# Apply Conv2D `n_channels` times and concatenate all capsules
def PrimaryCap(inputs, dim_capsule, n_channels, kernel_size, strides, padding):
outputs = []
for _ in range(n_channels):
output = layers.Conv2D(filters=dim_capsule, kernel_size=kernel_size, strides=strides, padding=padding)(inputs)
outputs.append(layers.Reshape([output.get_shape().as_list()[1] ** 2, dim_capsule])(output))
outputs = layers.Concatenate(axis=1)(outputs)
return layers.Lambda(squash)(outputs)
"""
import numpy as np
from matplotlib import pyplot as plt
import csv
import math
def plot_log(filename, show=True):
# load data
keys = []
values = []
with open(filename, 'r') as f:
reader = csv.DictReader(f)
for row in reader:
if keys == []:
for key, value in row.items():
keys.append(key)
values.append(float(value))
continue
for _, value in row.items():
values.append(float(value))
values = np.reshape(values, newshape=(-1, len(keys)))
values[:,0] += 1
fig = plt.figure(figsize=(4,6))
fig.subplots_adjust(top=0.95, bottom=0.05, right=0.95)
fig.add_subplot(211)
for i, key in enumerate(keys):
if key.find('loss') >= 0 and not key.find('val') >= 0: # training loss
plt.plot(values[:, 0], values[:, i], label=key)
plt.legend()
plt.title('Training loss')
fig.add_subplot(212)
for i, key in enumerate(keys):
if key.find('acc') >= 0: # acc
plt.plot(values[:, 0], values[:, i], label=key)
plt.legend()
plt.title('Training and validation accuracy')
# fig.savefig('result/log.png')
if show:
plt.show()
def combine_images(generated_images, height=None, width=None):
num = generated_images.shape[0]
if width is None and height is None:
width = int(math.sqrt(num))
height = int(math.ceil(float(num)/width))
elif width is not None and height is None: # height not given
height = int(math.ceil(float(num)/width))
elif height is not None and width is None: # width not given
width = int(math.ceil(float(num)/height))
shape = generated_images.shape[1:3]
image = np.zeros((height*shape[0], width*shape[1]),
dtype=generated_images.dtype)
for index, img in enumerate(generated_images):
i = int(index/width)
j = index % width
image[i*shape[0]:(i+1)*shape[0], j*shape[1]:(j+1)*shape[1]] = \
img[:, :, 0]
return image
# if __name__=="__main__":
# plot_log('result/log.csv')
"""
Keras implementation of CapsNet in Hinton's paper Dynamic Routing Between Capsules.
The current version maybe only works for TensorFlow backend. Actually it will be straightforward to re-write to TF code.
Adopting to other backends should be easy, but I have not tested this.
Usage:
python capsulenet.py
python capsulenet.py --epochs 50
python capsulenet.py --epochs 50 --routings 3
... ...
Result:
Validation accuracy > 99.5% after 20 epochs. Converge to 99.66% after 50 epochs.
About 110 seconds per epoch on a single GTX1070 GPU card
Author: Xifeng Guo, E-mail: `[email protected]`, Github: `https://github.com/XifengGuo/CapsNet-Keras`
"""
import numpy as np
from keras import layers, models, optimizers
from keras import backend as K
from keras.utils import to_categorical
import matplotlib.pyplot as plt
# from utils import combine_images
from PIL import Image
# from capsulelayers import CapsuleLayer, PrimaryCap, Length, Mask
K.set_image_data_format('channels_last')
def CapsNet(input_shape, n_class, routings):
"""
A Capsule Network on MNIST.
:param input_shape: data shape, 3d, [width, height, channels]
:param n_class: number of classes
:param routings: number of routing iterations
:return: Two Keras Models, the first one used for training, and the second one for evaluation.
`eval_model` can also be used for training.
"""
x = layers.Input(shape=input_shape)
# Layer 1: Just a conventional Conv2D layer
conv1 = layers.Conv2D(filters=256, kernel_size=9, strides=1, padding='valid', activation='relu', name='conv1')(x)
# Layer 2: Conv2D layer with `squash` activation, then reshape to [None, num_capsule, dim_capsule]
primarycaps = PrimaryCap(conv1, dim_capsule=8, n_channels=32, kernel_size=9, strides=2, padding='valid')
# Layer 3: Capsule layer. Routing algorithm works here.
digitcaps = CapsuleLayer(num_capsule=n_class, dim_capsule=16, routings=routings,
name='digitcaps')(primarycaps)
# Layer 4: This is an auxiliary layer to replace each capsule with its length. Just to match the true label's shape.
# If using tensorflow, this will not be necessary. :)
out_caps = Length(name='capsnet')(digitcaps)
# Decoder network.
y = layers.Input(shape=(n_class,))
masked_by_y = Mask()([digitcaps, y]) # The true label is used to mask the output of capsule layer. For training
masked = Mask()(digitcaps) # Mask using the capsule with maximal length. For prediction
# Shared Decoder model in training and prediction
decoder = models.Sequential(name='decoder')
decoder.add(layers.Dense(512, activation='relu', input_dim=16 * n_class))
decoder.add(layers.Dense(1024, activation='relu'))
decoder.add(layers.Dense(np.prod(input_shape), activation='sigmoid'))
decoder.add(layers.Reshape(target_shape=input_shape, name='out_recon'))
# Models for training and evaluation (prediction)
train_model = models.Model([x, y], [out_caps, decoder(masked_by_y)])
eval_model = models.Model(x, [out_caps, decoder(masked)])
# manipulate model
noise = layers.Input(shape=(n_class, 16))
noised_digitcaps = layers.Add()([digitcaps, noise])
masked_noised_y = Mask()([noised_digitcaps, y])
manipulate_model = models.Model([x, y, noise], decoder(masked_noised_y))
return train_model, eval_model, manipulate_model
def margin_loss(y_true, y_pred):
"""
Margin loss for Eq.(4). When y_true[i, :] contains not just one `1`, this loss should work too. Not test it.
:param y_true: [None, n_classes]
:param y_pred: [None, num_capsule]
:return: a scalar loss value.
"""
L = y_true * K.square(K.maximum(0., 0.9 - y_pred)) + \
0.5 * (1 - y_true) * K.square(K.maximum(0., y_pred - 0.1))
return K.mean(K.sum(L, 1))
def train(model, data, args):
"""
Training a CapsuleNet
:param model: the CapsuleNet model
:param data: a tuple containing training and testing data, like `((x_train, y_train), (x_test, y_test))`
:param args: arguments
:return: The trained model
"""
# unpacking the data
(x_train, y_train), (x_test, y_test) = data
# callbacks
log = callbacks.CSVLogger(args.save_dir + '/log.csv')
tb = callbacks.TensorBoard(log_dir=args.save_dir + '/tensorboard-logs',
batch_size=args.batch_size, histogram_freq=int(args.debug))
checkpoint = callbacks.ModelCheckpoint(args.save_dir + '/weights-{epoch:02d}.h5', monitor='val_capsnet_acc',
save_best_only=True, save_weights_only=True, verbose=1)
lr_decay = callbacks.LearningRateScheduler(schedule=lambda epoch: args.lr * (args.lr_decay ** epoch))
# compile the model
model.compile(optimizer=optimizers.Adam(lr=args.lr),
loss=[margin_loss, 'mse'],
loss_weights=[1., args.lam_recon],
metrics={'capsnet': 'accuracy'})
"""
# Training without data augmentation:
model.fit([x_train, y_train], [y_train, x_train], batch_size=args.batch_size, epochs=args.epochs,
validation_data=[[x_test, y_test], [y_test, x_test]], callbacks=[log, tb, checkpoint, lr_decay])
"""
# Begin: Training with data augmentation ---------------------------------------------------------------------#
def train_generator(x, y, batch_size, shift_fraction=0.):
train_datagen = ImageDataGenerator(width_shift_range=shift_fraction,
height_shift_range=shift_fraction) # shift up to 2 pixel for MNIST
generator = train_datagen.flow(x, y, batch_size=batch_size)
while 1:
x_batch, y_batch = generator.next()
yield ([x_batch, y_batch], [y_batch, x_batch])
# Training with data augmentation. If shift_fraction=0., also no augmentation.
model.fit_generator(generator=train_generator(x_train, y_train, args.batch_size, args.shift_fraction),
steps_per_epoch=int(y_train.shape[0] / args.batch_size),
epochs=args.epochs,
validation_data=[[x_test, y_test], [y_test, x_test]],
callbacks=[log, tb, checkpoint, lr_decay])
# End: Training with data augmentation -----------------------------------------------------------------------#
model.save_weights(args.save_dir + '/trained_model.h5')
print('Trained model saved to \'%s/trained_model.h5\'' % args.save_dir)
# from utils import plot_log
plot_log(args.save_dir + '/log.csv', show=True)
return model
def test(model, data, args):
x_test, y_test = data
y_pred, x_recon = model.predict(x_test, batch_size=100)
print('-' * 30 + 'Begin: test' + '-' * 30)
print('Test acc:', np.sum(np.argmax(y_pred, 1) == np.argmax(y_test, 1)) / y_test.shape[0])
img = combine_images(np.concatenate([x_test[:50], x_recon[:50]]))
image = img * 255
Image.fromarray(image.astype(np.uint8)).save(args.save_dir + "/real_and_recon.png")
print()
print('Reconstructed images are saved to %s/real_and_recon.png' % args.save_dir)
print('-' * 30 + 'End: test' + '-' * 30)
plt.imshow(plt.imread(args.save_dir + "/real_and_recon.png"))
plt.show()
def manipulate_latent(model, data, args):
print('-' * 30 + 'Begin: manipulate' + '-' * 30)
x_test, y_test = data
index = np.argmax(y_test, 1) == args.digit
number = np.random.randint(low=0, high=sum(index) - 1)
x, y = x_test[index][number], y_test[index][number]
x, y = np.expand_dims(x, 0), np.expand_dims(y, 0)
noise = np.zeros([1, 10, 16])
x_recons = []
for dim in range(16):
for r in [-0.25, -0.2, -0.15, -0.1, -0.05, 0, 0.05, 0.1, 0.15, 0.2, 0.25]:
tmp = np.copy(noise)
tmp[:, :, dim] = r
x_recon = model.predict([x, y, tmp])
x_recons.append(x_recon)
x_recons = np.concatenate(x_recons)
img = combine_images(x_recons, height=16)
image = img * 255
Image.fromarray(image.astype(np.uint8)).save(args.save_dir + '/manipulate-%d.png' % args.digit)
print('manipulated result saved to %s/manipulate-%d.png' % (args.save_dir, args.digit))
print('-' * 30 + 'End: manipulate' + '-' * 30)
def load_mnist():
# the data, shuffled and split between train and test sets
from keras.datasets import fashion_mnist
(x_train, y_train), (x_test, y_test) = fashion_mnist.load_data()
x_train = x_train.reshape(-1, 28, 28, 1).astype('float32') / 255.
x_test = x_test.reshape(-1, 28, 28, 1).astype('float32') / 255.
y_train = to_categorical(y_train.astype('float32'))
y_test = to_categorical(y_test.astype('float32'))
return (x_train, y_train), (x_test, y_test)
if __name__ == "__main__":
import os
import argparse
from keras.preprocessing.image import ImageDataGenerator
from keras import callbacks
# setting the hyper parameters
parser = argparse.ArgumentParser(description="Capsule Network on MNIST.")
parser.add_argument('--epochs', default=50, type=int)
parser.add_argument('--batch_size', default=100, type=int)
parser.add_argument('--lr', default=0.001, type=float,
help="Initial learning rate")
parser.add_argument('--lr_decay', default=0.9, type=float,
help="The value multiplied by lr at each epoch. Set a larger value for larger epochs")
parser.add_argument('--lam_recon', default=0.392, type=float,
help="The coefficient for the loss of decoder")
parser.add_argument('-r', '--routings', default=3, type=int,
help="Number of iterations used in routing algorithm. should > 0")
parser.add_argument('--shift_fraction', default=0.1, type=float,
help="Fraction of pixels to shift at most in each direction.")
parser.add_argument('--debug', action='store_true',
help="Save weights by TensorBoard")
parser.add_argument('--save_dir', default='./result')
parser.add_argument('-t', '--testing', action='store_true',
help="Test the trained model on testing dataset")
parser.add_argument('--digit', default=5, type=int,
help="Digit to manipulate")
parser.add_argument('-w', '--weights', default=None,
help="The path of the saved weights. Should be specified when testing")
args = parser.parse_args(["--epochs","50"])
print(args)
if not os.path.exists(args.save_dir):
os.makedirs(args.save_dir)
# load data
(x_train, y_train), (x_test, y_test) = load_mnist()
# define model
model, eval_model, manipulate_model = CapsNet(input_shape=x_train.shape[1:],
n_class=len(np.unique(np.argmax(y_train, 1))),
routings=args.routings)
model.summary()
# train or test
if args.weights is not None: # init the model weights with provided one
model.load_weights(args.weights)
if not args.testing:
train(model=model, data=((x_train, y_train), (x_test, y_test)), args=args)
else: # as long as weights are given, will run testing
if args.weights is None:
print('No weights are provided. Will test using random initialized weights.')
manipulate_latent(manipulate_model, (x_test, y_test), args)
test(model=eval_model, data=(x_test, y_test), args=args)