Wed 08 February 2017

Beyond Binary: Ternary and One-hot Neurons
While playing with some applications of binary neurons, I found myself wanting to use explicit activations that go beyond a simple yes/no decision. For example, we might want our neural network to make a choice between several categories (in the form of a one-hot vector) or we might want it to make a choice between ordered categories (e.g., a scale of 1 to 10). It's rather easy to extend the straight-through estimator to work well on both of these cases, and I thought I would share my work in this post. I share code for implementing ternary and one-hot neurons in Tensorflow, and show that they can learn to solve MNIST.

Sun 20 November 2016

Non-Zero Initial States for Recurrent Neural Networks
The default approach to initializing the state of an RNN is to use a zero state. This often works well, particularly for sequence-to-sequence tasks like language modeling where the proportion of outputs that are significantly impacted by the initial state is small. In some cases, however, it makes sense to (1) train the initial state as a model parameter, (2) use a noisy initial state, or (3) both. This post examines the rationale behind trained and noisy intial states briefly, and presents drop-in Tensorflow implementations.

Tue 15 November 2016

Recurrent Neural Networks in Tensorflow III - Variable Length Sequences
This is the third in a series of posts about recurrent neural networks in Tensorflow. In this post, we'll use Tensorflow to construct an RNN that operates on input sequences of variable lengths.

Sat 24 September 2016

Binary Stochastic Neurons in Tensorflow
In this post, I introduce and discuss binary stochastic neurons, implement trainable binary stochastic neurons in Tensorflow, and conduct several simple experiments on the MNIST dataset to get a feel for their behavior. Binary stochastic neurons offer two advantages over real-valued neurons: they can act as a regularizer and they enable conditional computation by enabling a network to make yes/no decisions. Conditional computation opens the door to new and exciting neural network architectures, such as the choice of experts architecture and heirarchical multiscale neural networks.

Mon 25 July 2016

Recurrent Neural Networks in Tensorflow II
This is the second in a series of posts about recurrent neural networks in Tensorflow. In this post, we will build upon our vanilla RNN by learning how to use Tensorflow's scan and dynamic_rnn models, upgrading the RNN cell and stacking multiple RNNs, and adding dropout and layer normalization. We will then use our upgraded RNN to generate some text, character by character.

Mon 11 July 2016

Recurrent Neural Networks in Tensorflow I
This is the first in a series of posts about recurrent neural networks in Tensorflow. In this post, we will build implement a vanilla recurrent neural network (RNN) from the ground up in Tensorflow, and then translate the model into Tensorflow's RNN API.

Tue 29 March 2016

Implementing Batch Normalization in Tensorflow
Batch normalization is deep learning technique introduced in 2015 that enables the use of higher learning rates, acts as a regularizer and can speed up training by 14 times. In this post, I show how to implement batch normalization in Tensorflow.