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INVASE-.py
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INVASE-.py
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'''
Instance-wise Variable Selection (INVASE)
for ICLR 2019 Conference
'''
#%% Necessary packages
# 1. Keras
from keras.layers import Input, Dense, Multiply
from keras.layers import BatchNormalization
from keras.models import Sequential, Model
from keras.optimizers import Adam
from keras import regularizers
from keras import backend as K
# 2. Others
import tensorflow as tf
import numpy as np
#%% Define PVS class
class PVS():
# 1. Initialization
'''
x_train: training samples
data_type: Syn1 to Syn 6
'''
def __init__(self, x_train, data_type, lamda):
self.latent_dim1 = 100 # Dimension of actor (generator) network
self.latent_dim2 = 200 # Dimension of critic (discriminator) network
self.batch_size = 1000 # Batch size
self.epochs = 10000 # Epoch size (large epoch is needed due to the policy gradient framework)
self.lamda = lamda # Hyper-parameter for the number of selected features
self.input_shape = x_train.shape[1] # Input dimension
# Actionvation. (For Syn1 and 2, relu, others, selu)
self.activation = 'relu' if data_type in ['Syn1','Syn2'] else 'selu'
# Use Adam optimizer with learning rate = 0.0001
optimizer = Adam(0.0001)
# Build and compile the discriminator (critic)
self.discriminator = self.build_discriminator()
# Use categorical cross entropy as the loss
self.discriminator.compile(loss='categorical_crossentropy', optimizer=optimizer, metrics=['acc'])
# Build the generator (actor)
self.generator = self.build_generator()
# Use custom loss (my loss)
self.generator.compile(loss=self.my_loss, optimizer=optimizer)
#%% Custom loss definition
def my_loss(self, y_true, y_pred):
# dimension of the features
d = y_pred.shape[1]
# Put all three in y_true
# 1. selected probability
sel_prob = y_true[:,:d]
# 2. discriminator output
dis_prob = y_true[:,d:(d+2)]
# 3. ground truth
y_final = y_true[:,(d+2):]
# A. Compute the rewards of the actor network
Reward = tf.reduce_sum(y_final * tf.log(dis_prob + 1e-8), axis = 1)
# B. Policy gradient loss computation.
loss1 = Reward * tf.reduce_sum( sel_prob * K.log(y_pred + 1e-8) + (1-sel_prob) * K.log(1-y_pred + 1e-8), axis = 1) - self.lamda * tf.reduce_mean(y_pred, axis = 1)
# C. Maximize the loss1
loss = tf.reduce_mean(-loss1)
return loss
#%% Generator (Actor)
def build_generator(self):
model = Sequential()
model.add(Dense(100, activation=self.activation, name = 's/dense1', kernel_regularizer=regularizers.l2(1e-3), input_dim = self.input_shape))
model.add(Dense(100, activation=self.activation, name = 's/dense2', kernel_regularizer=regularizers.l2(1e-3)))
model.add(Dense(self.input_shape, activation = 'sigmoid', name = 's/dense3', kernel_regularizer=regularizers.l2(1e-3)))
model.summary()
feature = Input(shape=(self.input_shape,), dtype='float32')
select_prob = model(feature)
return Model(feature, select_prob)
#%% Discriminator (Critic)
def build_discriminator(self):
model = Sequential()
model.add(Dense(200, activation=self.activation, name = 'dense1', kernel_regularizer=regularizers.l2(1e-3), input_dim = self.input_shape))
model.add(BatchNormalization()) # Use Batch norm for preventing overfitting
model.add(Dense(200, activation=self.activation, name = 'dense2', kernel_regularizer=regularizers.l2(1e-3)))
model.add(BatchNormalization())
model.add(Dense(2, activation ='softmax', name = 'dense3', kernel_regularizer=regularizers.l2(1e-3)))
model.summary()
# There are two inputs to be used in the discriminator
# 1. Features
feature = Input(shape=(self.input_shape,), dtype='float32')
# 2. Selected Features
select = Input(shape=(self.input_shape,), dtype='float32')
# Element-wise multiplication
model_input = Multiply()([feature, select])
prob = model(model_input)
return Model([feature, select], prob)
#%% Sampling the features based on the output of the generator
def Sample_M(self, gen_prob):
# Shape of the selection probability
n = gen_prob.shape[0]
d = gen_prob.shape[1]
# Sampling
samples = np.random.binomial(1, gen_prob, (n,d))
return samples
#%% Training procedure
def train(self, x_train, y_train):
# For each epoch (actually iterations)
for epoch in range(self.epochs):
#%% Train Discriminator
# Select a random batch of samples
idx = np.random.randint(0, x_train.shape[0], self.batch_size)
x_batch = x_train[idx,:]
y_batch = y_train[idx,:]
# Generate a batch of probabilities of feature selection
gen_prob = self.generator.predict(x_batch)
# Sampling the features based on the generated probability
sel_prob = self.Sample_M(gen_prob)
# Compute the prediction of the critic based on the sampled features (used for generator training)
dis_prob = self.discriminator.predict([x_batch, sel_prob])
# Train the discriminator
d_loss = self.discriminator.train_on_batch([x_batch, sel_prob], y_batch)
#%% Train Generator
# Use three things as the y_true: sel_prob, dis_prob, and ground truth (y_batch)
y_batch_final = np.concatenate( (sel_prob, np.asarray(dis_prob), y_batch), axis = 1 )
# Train the generator
g_loss = self.generator.train_on_batch(x_batch, y_batch_final)
#%% Plot the progress
dialog = 'Epoch: ' + str(epoch) + ', d_loss (CE): ' + str(np.round(d_loss[0],4)) + ', d_loss (Acc): ' + str(d_loss[1]) + ', g_loss: ' + str(np.round(g_loss,4))
if epoch % 100 == 0:
print(dialog)
#%% Selected Features
def output(self, x_train):
gen_prob = self.generator.predict(x_train)
return np.asarray(gen_prob)
#%% Main Function
if __name__ == '__main__':
# Data generation function import
from Data_Generation import generate_data
#%% Parameters
# Synthetic data type
idx = 5
data_sets = ['Syn1','Syn2','Syn3','Syn4','Syn5','Syn6']
data_type = data_sets[idx]
# No need to provide the number of relevant features at all!
# Data output can be either binary (Y) or Probability (Prob)
data_out_sets = ['Y','Prob']
data_out = data_out_sets[0]
# Number of Training and Testing samples
train_N = 10000
test_N = 10000
# Seeds (different seeds for training and testing)
train_seed = 0
test_seed = 1
#%% Data Generation (Train/Test)
def create_data(data_type, data_out):
x_train, y_train, g_train = generate_data(n = train_N, data_type = data_type, seed = train_seed, out = data_out)
x_test, y_test, g_test = generate_data(n = test_N, data_type = data_type, seed = test_seed, out = data_out)
return x_train, y_train, g_train, x_test, y_test, g_test
x_train, y_train, g_train, x_test, y_test, g_test = create_data(data_type, data_out)
#%% Hyperparameter
lamda = 3
# 1. PVS Class call
PVS_Alg = PVS(x_train, data_type, lamda)
# 2. Algorithm training
PVS_Alg.train(x_train, y_train)
# 3. Get the selection probability on the testing set
Sel_Prob_Test = PVS_Alg.output(x_test)
# 4. Selected features
score = 1.*(Sel_Prob_Test > 0.5)
#%% Performance Metrics
def performance_metric(score, g_truth):
n = len(score)
Temp_TPR = np.zeros([n,])
Temp_FDR = np.zeros([n,])
for i in range(n):
# TPR
TPR_Nom = np.sum(score[i,:] * g_truth[i,:])
TPR_Den = np.sum(g_truth[i,:])
Temp_TPR[i] = 100 * float(TPR_Nom)/float(TPR_Den+1e-8)
# FDR
FDR_Nom = np.sum(score[i,:] * (1-g_truth[i,:]))
FDR_Den = np.sum(score[i,:])
Temp_FDR[i] = 100 * float(FDR_Nom)/float(FDR_Den+1e-8)
return np.mean(Temp_TPR), np.mean(Temp_FDR), np.std(Temp_TPR), np.std(Temp_FDR)
#%% Output
TPR_mean, FDR_mean, TPR_std, FDR_std = performance_metric(score, g_test)
print('TPR mean: ' + str(np.round(TPR_mean,1)) + '\%, ' + 'TPR std: ' + str(np.round(TPR_std,1)) + '\%, ' )
print('FDR mean: ' + str(np.round(FDR_mean,1)) + '\%, ' + 'FDR std: ' + str(np.round(FDR_std,1)) + '\%, ' )