# MAXENT3D_PID: An Estimator for the Maximum-entropy Trivariate Partial Information Decomposition

## TL;DR

MAXENT3D_PID is a software tool that accurately computes the trivariate partial information decomposition within the maximum entropy framework, enabling detailed analysis of unique, redundant, and synergistic information components.

## Contribution

This paper introduces MAXENT3D_PID, a software implementation of the Cone Programming-based measure for trivariate partial information decomposition, with detailed usage and validation experiments.

## Key findings

- Software accurately estimates trivariate partial information components
- Demonstrates effectiveness of Cone Programming approach
- Provides a practical tool for information decomposition analysis

## Abstract

Chicharro (2017) introduced a procedure to determine multivariate partial information measures within the maximum entropy framework, separating unique, redundant, and synergistic components of information. Makkeh, Theis, and Vicente (2018) formulated the latter trivariate partial information measure as Cone Programming. In this paper, we present MAXENT3D_PID, a production-quality software that computes the trivariate partial information measure based on the Cone Programming model. We describe in detail our software, explain how to use it, and perform some experiments reflecting its accuracy in estimating the trivariate partial information decomposition.