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DEC.py
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DEC.py
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"""
Keras implementation for Deep Embedded Clustering (DEC) algorithm:
Junyuan Xie, Ross Girshick, and Ali Farhadi. Unsupervised deep embedding for clustering analysis. ICML 2016.
Usage:
use `python DEC.py -h` for help.
Author:
Xifeng Guo. 2017.1.30
"""
from time import time
import numpy as np
import keras.backend as K
from keras.engine.topology import Layer, InputSpec
from keras.layers import Dense, Input
from keras.models import Model
from keras.optimizers import SGD
from keras import callbacks
from keras.initializers import VarianceScaling
from sklearn.cluster import KMeans
import metrics
def autoencoder(dims, act='relu', init='glorot_uniform'):
"""
Fully connected auto-encoder model, symmetric.
Arguments:
dims: list of number of units in each layer of encoder. dims[0] is input dim, dims[-1] is units in hidden layer.
The decoder is symmetric with encoder. So number of layers of the auto-encoder is 2*len(dims)-1
act: activation, not applied to Input, Hidden and Output layers
return:
(ae_model, encoder_model), Model of autoencoder and model of encoder
"""
n_stacks = len(dims) - 1
# input
x = Input(shape=(dims[0],), name='input')
h = x
# internal layers in encoder
for i in range(n_stacks-1):
h = Dense(dims[i + 1], activation=act, kernel_initializer=init, name='encoder_%d' % i)(h)
# hidden layer
h = Dense(dims[-1], kernel_initializer=init, name='encoder_%d' % (n_stacks - 1))(h) # hidden layer, features are extracted from here
y = h
# internal layers in decoder
for i in range(n_stacks-1, 0, -1):
y = Dense(dims[i], activation=act, kernel_initializer=init, name='decoder_%d' % i)(y)
# output
y = Dense(dims[0], kernel_initializer=init, name='decoder_0')(y)
return Model(inputs=x, outputs=y, name='AE'), Model(inputs=x, outputs=h, name='encoder')
class ClusteringLayer(Layer):
"""
Clustering layer converts input sample (feature) to soft label, i.e. a vector that represents the probability of the
sample belonging to each cluster. The probability is calculated with student's t-distribution.
# Example
```
model.add(ClusteringLayer(n_clusters=10))
```
# Arguments
n_clusters: number of clusters.
weights: list of Numpy array with shape `(n_clusters, n_features)` witch represents the initial cluster centers.
alpha: parameter in Student's t-distribution. Default to 1.0.
# Input shape
2D tensor with shape: `(n_samples, n_features)`.
# Output shape
2D tensor with shape: `(n_samples, n_clusters)`.
"""
def __init__(self, n_clusters, weights=None, alpha=1.0, **kwargs):
if 'input_shape' not in kwargs and 'input_dim' in kwargs:
kwargs['input_shape'] = (kwargs.pop('input_dim'),)
super(ClusteringLayer, self).__init__(**kwargs)
self.n_clusters = n_clusters
self.alpha = alpha
self.initial_weights = weights
self.input_spec = InputSpec(ndim=2)
def build(self, input_shape):
assert len(input_shape) == 2
input_dim = input_shape[1]
self.input_spec = InputSpec(dtype=K.floatx(), shape=(None, input_dim))
self.clusters = self.add_weight(shape=(self.n_clusters, input_dim), initializer='glorot_uniform', name='clusters')
if self.initial_weights is not None:
self.set_weights(self.initial_weights)
del self.initial_weights
self.built = True
def call(self, inputs, **kwargs):
""" student t-distribution, as same as used in t-SNE algorithm.
q_ij = 1/(1+dist(x_i, u_j)^2), then normalize it.
Arguments:
inputs: the variable containing data, shape=(n_samples, n_features)
Return:
q: student's t-distribution, or soft labels for each sample. shape=(n_samples, n_clusters)
"""
q = 1.0 / (1.0 + (K.sum(K.square(K.expand_dims(inputs, axis=1) - self.clusters), axis=2) / self.alpha))
q **= (self.alpha + 1.0) / 2.0
q = K.transpose(K.transpose(q) / K.sum(q, axis=1))
return q
def compute_output_shape(self, input_shape):
assert input_shape and len(input_shape) == 2
return input_shape[0], self.n_clusters
def get_config(self):
config = {'n_clusters': self.n_clusters}
base_config = super(ClusteringLayer, self).get_config()
return dict(list(base_config.items()) + list(config.items()))
class DEC(object):
def __init__(self,
dims,
n_clusters=10,
alpha=1.0,
init='glorot_uniform'):
super(DEC, self).__init__()
self.dims = dims
self.input_dim = dims[0]
self.n_stacks = len(self.dims) - 1
self.n_clusters = n_clusters
self.alpha = alpha
self.autoencoder, self.encoder = autoencoder(self.dims, init=init)
# prepare DEC model
clustering_layer = ClusteringLayer(self.n_clusters, name='clustering')(self.encoder.output)
self.model = Model(inputs=self.encoder.input, outputs=clustering_layer)
def pretrain(self, x, y=None, optimizer='adam', epochs=200, batch_size=256, save_dir='results/temp'):
print('...Pretraining...')
self.autoencoder.compile(optimizer=optimizer, loss='mse')
csv_logger = callbacks.CSVLogger(save_dir + '/pretrain_log.csv')
cb = [csv_logger]
if y is not None:
class PrintACC(callbacks.Callback):
def __init__(self, x, y):
self.x = x
self.y = y
super(PrintACC, self).__init__()
def on_epoch_end(self, epoch, logs=None):
if int(epochs/10) != 0 and epoch % int(epochs/10) != 0:
return
feature_model = Model(self.model.input,
self.model.get_layer(
'encoder_%d' % (int(len(self.model.layers) / 2) - 1)).output)
features = feature_model.predict(self.x)
km = KMeans(n_clusters=len(np.unique(self.y)), n_init=20, n_jobs=4)
y_pred = km.fit_predict(features)
# print()
print(' '*8 + '|==> acc: %.4f, nmi: %.4f <==|'
% (metrics.acc(self.y, y_pred), metrics.nmi(self.y, y_pred)))
cb.append(PrintACC(x, y))
# begin pretraining
t0 = time()
self.autoencoder.fit(x, x, batch_size=batch_size, epochs=epochs, callbacks=cb)
print('Pretraining time: %ds' % round(time() - t0))
self.autoencoder.save_weights(save_dir + '/ae_weights.h5')
print('Pretrained weights are saved to %s/ae_weights.h5' % save_dir)
self.pretrained = True
def load_weights(self, weights): # load weights of DEC model
self.model.load_weights(weights)
def extract_features(self, x):
return self.encoder.predict(x)
def predict(self, x): # predict cluster labels using the output of clustering layer
q = self.model.predict(x, verbose=0)
return q.argmax(1)
@staticmethod
def target_distribution(q):
weight = q ** 2 / q.sum(0)
return (weight.T / weight.sum(1)).T
def compile(self, optimizer='sgd', loss='kld'):
self.model.compile(optimizer=optimizer, loss=loss)
def fit(self, x, y=None, maxiter=2e4, batch_size=256, tol=1e-3,
update_interval=140, save_dir='./results/temp'):
print('Update interval', update_interval)
save_interval = int(x.shape[0] / batch_size) * 5 # 5 epochs
print('Save interval', save_interval)
# Step 1: initialize cluster centers using k-means
t1 = time()
print('Initializing cluster centers with k-means.')
kmeans = KMeans(n_clusters=self.n_clusters, n_init=20)
y_pred = kmeans.fit_predict(self.encoder.predict(x))
y_pred_last = np.copy(y_pred)
self.model.get_layer(name='clustering').set_weights([kmeans.cluster_centers_])
# Step 2: deep clustering
# logging file
import csv
logfile = open(save_dir + '/dec_log.csv', 'w')
logwriter = csv.DictWriter(logfile, fieldnames=['iter', 'acc', 'nmi', 'ari', 'loss'])
logwriter.writeheader()
loss = 0
index = 0
index_array = np.arange(x.shape[0])
for ite in range(int(maxiter)):
if ite % update_interval == 0:
q = self.model.predict(x, verbose=0)
p = self.target_distribution(q) # update the auxiliary target distribution p
# evaluate the clustering performance
y_pred = q.argmax(1)
if y is not None:
acc = np.round(metrics.acc(y, y_pred), 5)
nmi = np.round(metrics.nmi(y, y_pred), 5)
ari = np.round(metrics.ari(y, y_pred), 5)
loss = np.round(loss, 5)
logdict = dict(iter=ite, acc=acc, nmi=nmi, ari=ari, loss=loss)
logwriter.writerow(logdict)
print('Iter %d: acc = %.5f, nmi = %.5f, ari = %.5f' % (ite, acc, nmi, ari), ' ; loss=', loss)
# check stop criterion
delta_label = np.sum(y_pred != y_pred_last).astype(np.float32) / y_pred.shape[0]
y_pred_last = np.copy(y_pred)
if ite > 0 and delta_label < tol:
print('delta_label ', delta_label, '< tol ', tol)
print('Reached tolerance threshold. Stopping training.')
logfile.close()
break
# train on batch
# if index == 0:
# np.random.shuffle(index_array)
idx = index_array[index * batch_size: min((index+1) * batch_size, x.shape[0])]
loss = self.model.train_on_batch(x=x[idx], y=p[idx])
index = index + 1 if (index + 1) * batch_size <= x.shape[0] else 0
# save intermediate model
if ite % save_interval == 0:
print('saving model to:', save_dir + '/DEC_model_' + str(ite) + '.h5')
self.model.save_weights(save_dir + '/DEC_model_' + str(ite) + '.h5')
ite += 1
# save the trained model
logfile.close()
print('saving model to:', save_dir + '/DEC_model_final.h5')
self.model.save_weights(save_dir + '/DEC_model_final.h5')
return y_pred
if __name__ == "__main__":
# setting the hyper parameters
import argparse
parser = argparse.ArgumentParser(description='train',
formatter_class=argparse.ArgumentDefaultsHelpFormatter)
parser.add_argument('--dataset', default='mnist',
choices=['mnist', 'fmnist', 'usps', 'reuters10k', 'stl'])
parser.add_argument('--batch_size', default=256, type=int)
parser.add_argument('--maxiter', default=2e4, type=int)
parser.add_argument('--pretrain_epochs', default=None, type=int)
parser.add_argument('--update_interval', default=None, type=int)
parser.add_argument('--tol', default=0.001, type=float)
parser.add_argument('--ae_weights', default=None)
parser.add_argument('--save_dir', default='results')
args = parser.parse_args()
print(args)
import os
if not os.path.exists(args.save_dir):
os.makedirs(args.save_dir)
# load dataset
from datasets import load_data
x, y = load_data(args.dataset)
n_clusters = len(np.unique(y))
init = 'glorot_uniform'
pretrain_optimizer = 'adam'
# setting parameters
if args.dataset == 'mnist' or args.dataset == 'fmnist':
update_interval = 140
pretrain_epochs = 300
init = VarianceScaling(scale=1. / 3., mode='fan_in',
distribution='uniform') # [-limit, limit], limit=sqrt(1./fan_in)
pretrain_optimizer = SGD(lr=1, momentum=0.9)
elif args.dataset == 'reuters10k':
update_interval = 30
pretrain_epochs = 50
init = VarianceScaling(scale=1. / 3., mode='fan_in',
distribution='uniform') # [-limit, limit], limit=sqrt(1./fan_in)
pretrain_optimizer = SGD(lr=1, momentum=0.9)
elif args.dataset == 'usps':
update_interval = 30
pretrain_epochs = 50
elif args.dataset == 'stl':
update_interval = 30
pretrain_epochs = 10
if args.update_interval is not None:
update_interval = args.update_interval
if args.pretrain_epochs is not None:
pretrain_epochs = args.pretrain_epochs
# prepare the DEC model
dec = DEC(dims=[x.shape[-1], 500, 500, 2000, 10], n_clusters=n_clusters, init=init)
if args.ae_weights is None:
dec.pretrain(x=x, y=y, optimizer=pretrain_optimizer,
epochs=pretrain_epochs, batch_size=args.batch_size,
save_dir=args.save_dir)
else:
dec.autoencoder.load_weights(args.ae_weights)
dec.model.summary()
t0 = time()
dec.compile(optimizer=SGD(0.01, 0.9), loss='kld')
y_pred = dec.fit(x, y=y, tol=args.tol, maxiter=args.maxiter, batch_size=args.batch_size,
update_interval=update_interval, save_dir=args.save_dir)
print('acc:', metrics.acc(y, y_pred))
print('clustering time: ', (time() - t0))