Code for On the Information Bottleneck Theory of Deep Learning

Recently updated for Python 3, tensorflow 2.1.0, keras 2.3.1.

Other requirements: six, pathlib2, seaborn.

• MNIST_SaveActivations.ipynb is a jupyter notebook that trains on MNIST and saves (in a data directory) activations when run on test set inputs (as well as weight norms, &c.) for each epoch.

• MNIST_ComputeMI.ipynb is a jupyter notebook that loads the data files, computes MI values, and does the infoplane plots and SNR plots for data created using MNIST_SaveActivations.ipynb.

• IBnet_SaveActivations.ipynb is a jupyter notebook that recreates the network and data from https://github.com/ravidziv/IDNNs and saves activations, weight norms, &c. for each epoch for a single trial.

• IBnet_ComputeMI.ipynb is a jupyter notebook that loads the data files created by IBnet_SaveActivations.ipynb, computes MI values, and does the infoplane plots and SNR plots. Note, for the full results of the paper, MI values and SNR was averaged for 50 distinct trials; MI and SNR for individual runs can vary substantially.

• demo.py is a simple script showing how to compute MI between X and Y, where Y = f(X) + Noise.

Andrew Michael Saxe, Yamini Bansal, Joel Dapello, Madhu Advani, Artemy Kolchinsky, Brendan Daniel Tracey, David Daniel Cox, On the Information Bottleneck Theory of Deep Learning, ICLR 2018.