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Workshop

Computing the Unique Information

  • Guido Montúfar (Max Planck Institute for Mathematics in the Sciences)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has proposed to quantify the unique component of the decomposition as the minimum value of the conditional mutual information over a constrained set of information channels. We present an efficient iterative divergence minimization algorithm to solve this optimization problem with convergence guarantees and evaluate its performance against other techniques.

This is joint work with Pradeep Kr. Banerjee and Johannes Rauh.

conference
9/10/20 9/11/20

GAMM AG Workshop Computational and Mathematical Methods in Data Science

MPI für Mathematik in den Naturwissenschaften Leipzig Live Stream

Valeria Hünniger

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Max von Renesse

Leipzig University

André Uschmajew

Max Planck Institute for Mathematics in the Sciences