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Bivariate partial information decompositions (PIDs) characterize how the information in a "message" random variable is decomposed between two "constituent" random variables in terms of unique, redundant and synergistic information…

信息论 · 计算机科学 2023-07-21 Praveen Venkatesh , Gabriel Schamberg

The study of multimodality has garnered significant interest in fields where the analysis of interactions among multiple information sources can enhance predictive modeling, data fusion, and interpretability. Partial information…

机器学习 · 计算机科学 2025-10-07 Wenyuan Zhao , Adithya Balachandran , Chao Tian , Paul Pu Liang

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

信息论 · 计算机科学 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

The integration and transfer of information from multiple sources to multiple targets is a core motive of neural systems. The emerging field of partial information decomposition (PID) provides a novel information-theoretic lens into these…

Recent advances in neuroscientific experimental techniques have enabled us to simultaneously record the activity of thousands of neurons across multiple brain regions. This has led to a growing need for computational tools capable of…

The Partial Information Decomposition (PID) [arXiv:1004.2515] provides a theoretical framework to characterize and quantify the structure of multivariate information sharing. A new method (Idep) has recently been proposed for computing a…

统计力学 · 物理学 2018-04-03 James W. Kay , Robin A. A. Ince

Describing statistical dependencies is foundational to empirical scientific research. For uncovering intricate and possibly non-linear dependencies between a single target variable and several source variables within a system, a principled…

Conceptually, partial information decomposition (PID) is concerned with separating the information contributions several sources hold about a certain target by decomposing the corresponding joint mutual information into contributions such…

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

数据分析、统计与概率 · 物理学 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

The partial information decomposition (PID) is perhaps the leading proposal for resolving information shared between a set of sources and a target into redundant, synergistic, and unique constituents. Unfortunately, the PID framework has…

统计力学 · 物理学 2018-10-30 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

Bivariate Partial Information Decomposition (PID) describes how the mutual information between a random variable M and two random variables Y and Z is decomposed into unique, redundant, and synergistic terms. Recently, PID has shown promise…

信息论 · 计算机科学 2023-05-12 Chaitanya Goswami , Amanda Merkley , Pulkit Grover

Obtaining meaningful quantitative descriptions of the statistical dependence within multivariate systems is a difficult open problem. Recently, the Partial Information Decomposition (PID) was proposed to decompose mutual information (MI)…

信息论 · 计算机科学 2017-02-21 Robin A. A. Ince

Partial information decomposition (PID) of the multivariate mutual information describes the distinct ways in which a set of source variables contains information about a target variable. The groundbreaking work of Williams and Beer has…

信息论 · 计算机科学 2021-03-31 Abdullah Makkeh , Aaron J. Gutknecht , Michael Wibral

The partial information decomposition (PID) is a promising framework for decomposing a joint random variable into the amount of influence each source variable Xi has on a target variable Y, relative to the other sources. For two sources,…

信息论 · 计算机科学 2019-01-30 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

Partial information decomposition (PID) partitions the information that a set of sources has about a target variable into synergistic, unique, and redundant contributions. This information-theoretic tool has recently attracted attention due…

信息论 · 计算机科学 2020-10-15 Abdullah Makkeh , Dirk Oliver Theis , Raul Vicente

Multimodal regression aims to predict a continuous target from heterogeneous input sources and typically relies on fusion strategies such as early or late fusion. However, existing methods lack principled tools to disentangle and quantify…

机器学习 · 计算机科学 2025-12-29 Zhaozhao Ma , Shujian Yu

Since its introduction, the partial information decomposition (PID) has emerged as a powerful, information-theoretic technique useful for studying the structure of (potentially higher-order) interactions in complex systems. Despite its…

信息论 · 计算机科学 2023-12-11 Thomas F. Varley

In a system of three stochastic variables, the Partial Information Decomposition (PID) of Williams and Beer dissects the information that two variables (sources) carry about a third variable (target) into nonnegative information atoms that…

信息论 · 计算机科学 2017-08-30 Giuseppe Pica , Eugenio Piasini , Daniel Chicharro , Stefano Panzeri

Partial Information Decomposition (PID) is a principled and flexible method to unveil complex high-order interactions in multi-unit network systems. Though being defined exclusively for random variables, PID is ubiquitously applied to…

The partial information decomposition (PID) framework is concerned with decomposing the information that a set of (two or more) random variables (the sources) has about another variable (the target) into three types of information: unique,…

信息论 · 计算机科学 2025-02-28 André F. C. Gomes , Mário A. T. Figueiredo
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