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172 lines (147 loc) · 8.12 KB
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import numpy as np
from torch.autograd import Variable
import tensorflow as tf
from tensorflow import keras
from tensorflow.keras.layers import Input, Dense, Dropout
from tensorflow.keras.callbacks import EarlyStopping, ModelCheckpoint, ReduceLROnPlateau
from util import do_inverse_norm, ReduceLROnPlateau
import tensorflow_probability as tfp
tf.keras.backend.set_floatx('float32')
class Bayesian_net():
def __init__(self, inF, outF, H, lr=1e-4, problem='regression'):
self.inF= inF
self.outF = outF
self.H = H
self.problem = problem
self.lr = lr
self.model_fn = self.base_model_regression
self.train_step = self.train_step_regression
self.loss_fn = self.loss_reg
self.pred = self.pred_regression
self.optimizer = tf.keras.optimizers.Adam(self.lr, beta_1=0.9, beta_2=0.999)
if(problem=='classification'):
self.model_fn = self.base_model_classification
self.train_step = self.train_step_classification
self.loss_fn = self.loss_class
self.pred = self.pred_classification
self.model = self.model_fn()
return
def base_model_regression(self):
# I am modelling a case where there is no aleatoric uncertainty in the data
# so no need for modelling sigma
inputs = Input(shape=(self.inF,))
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(inputs)
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(x)
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(x)
mu = tfp.layers.DenseFlipout(self.outF,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='linear')(x)
#sigma = tfp.layers.DenseFlipout(self.outF,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
# kernel_divergence_fn=self.kernel_divergence_fn,activation='softplus')(x)
#model = keras.Model(inputs=inputs, outputs=[mu, sigma])
model = keras.Model(inputs=inputs, outputs=mu)
return model
def base_model_classification(self):
inputs = Input(shape=(self.inF,))
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(inputs)
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(x)
x = tfp.layers.DenseFlipout(self.H,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='relu')(x)
x = tfp.layers.DenseFlipout(self.outF,kernel_prior_fn=tfp.layers.default_multivariate_normal_fn,
kernel_divergence_fn=self.kernel_divergence_fn,activation='softmax')(x)
model = keras.Model(inputs=inputs, outputs=x)
return model
def kernel_divergence_fn(self, q, p, _):
return tfp.distributions.kl_divergence(q, p)
def loss_reg(self, model, xtrain, ytrain, kl_weight, training):
# NLL loss
# For case where there is no aleatoric uncertainty NLL will come out to be just MSE
#mu, sigma = model(xtrain, training=training)
#var = sigma + 1e-6
#NLL = tf.math.log(var)*0.5 + 0.5*tf.math.divide(tf.math.square(ytrain-mu),var)
#total_loss = NLL + kl_weight*sum(model.losses)
mu = model(xtrain, training=training)
#var = sigma + 1e-6
NLL = tf.reduce_mean(tf.math.square(ytrain-mu))
KL_loss = kl_weight*sum(model.losses)
total_loss = NLL + KL_loss
return total_loss, NLL, KL_loss
def loss_class(self, model, xtrain, ytrain, kl_weight, training):
#
ypred = model(xtrain, training=training)
loss_fn = tf.keras.losses.CategoricalCrossentropy()
total_loss = loss_fn(ytrain, ypred) + kl_weight*sum(model.losses)
return total_loss
@tf.function
def train_step_regression(self, model, xtrain, ytrain, kl_weight):
with tf.GradientTape() as tape:
loss, NLL, KL_loss = self.loss_fn(model,xtrain, ytrain, kl_weight, True)
grad = tape.gradient(loss, model.trainable_variables)
self.optimizer.apply_gradients(zip(grad, model.trainable_variables))
return loss, NLL, KL_loss
@tf.function
def train_step_classification(self, model, xtrain, ytrain, kl_weight):
with tf.GradientTape() as tape:
loss = self.loss_fn(model, xtrain, ytrain, kl_weight, True)
grad = tape.gradient(loss, model.trainable_variables)
self.optimizer.apply_gradients(zip(grad, model.trainable_variables))
return loss
def train(self, batch_size, epochs, xtrain, ytrain, kl_weight=1e-3, validation_data=None):
train_dataset = tf.data.Dataset.from_tensor_slices((xtrain.astype(np.float32), ytrain.astype(np.float32)))
train_dataset = train_dataset.shuffle(buffer_size=xtrain.shape[0], reshuffle_each_iteration=True).batch(batch_size)
train_loss = []
NLL_loss = []
KL_loss = []
valid_loss = []
red_lr = ReduceLROnPlateau(self.optimizer, 0.8, 10, 1e-5)
epoch_loss_avg = tf.keras.metrics.Mean()
NLL_loss_avg = tf.keras.metrics.Mean()
KL_loss_avg = tf.keras.metrics.Mean()
for i in range(epochs):
epoch_loss_avg.reset_states()
NLL_loss_avg.reset_states()
KL_loss_avg.reset_states()
for x, y in train_dataset:
loss, NLL, KL = self.train_step(self.model, x, y, kl_weight)
epoch_loss_avg.update_state(loss)
NLL_loss_avg.update_state(NLL)
KL_loss_avg.update_state(KL)
train_loss.append(epoch_loss_avg.result().numpy())
NLL_loss.append(NLL_loss_avg.result().numpy())
KL_loss.append(KL_loss_avg.result().numpy())
red_lr.on_epoch_end(train_loss[-1], i)
if(validation_data):
valid_loss.append(np.mean(self.loss_fn(self.model, validation_data[0], validation_data[1], kl_weight, False).numpy()))
print("Step {} loss {} valid_loss {}".format(i, epoch_loss_avg.result(), valid_loss[i]))
else:
print("Step {} loss {}".format(i, epoch_loss_avg.result()))
return [train_loss, NLL_loss, KL_loss], valid_loss
def pred_regression(self, xdata, y, norm, Nsamp):
pred_all = np.zeros([Nsamp,xdata.shape[0], self.outF])
for i in range(Nsamp):
#mu, sigma = self.model(xdata)
#pred_all[i,:,:] = np.array([mu, sigma]).T
pred_all[i,:,0:self.outF] = self.model(xdata)
# Mean, std as in paper
pred_all = do_inverse_norm(y, pred_all, norm)
pred_mean = np.mean(pred_all, axis=0)
#pred_std = np.sqrt(np.mean(pred_all[:,:,0]**2 + pred_all[:,:,1]+1e-6,axis=0) - pred_mean**2 )
pred_std = np.sqrt(np.mean(pred_all**2, axis=0) - pred_mean**2 )
#pred_mean = do_inverse_norm(y, pred_mean, norm)
#pred_std = pred_std*np.std(y)
return pred_all, pred_mean, pred_std
def pred_classification(self, xdata, y, norm, Nsamp):
pred_all = np.zeros([Nsamp,xdata.shape[0]])
for i in range(Nsamp):
pred_all[i,:] = self.model(xdata)
pred_all = do_inverse_norm(y, pred_all, norm)
pred_mean = np.mean(pred_all,axis=0)
pred_std = np.std(pred_all,axis=0)
return pred_all, pred_mean, pred_std
def predict(self, xdata, y, norm, Nsamp):
pred_all, pred_mean, pred_std = self.pred(xdata, y, norm, Nsamp)
return pred_all, pred_mean, pred_std