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The Partial Information Decomposition (PID) framework has emerged as a powerful tool for analyzing high-order interdependencies in complex network systems. However, its application to dynamic processes remains challenging due to the…

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…

Statistical Mechanics · Physics 2018-10-30 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

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…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

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…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

We consider the "partial information decomposition" (PID) problem, which aims to decompose the information that a set of source random variables provide about a target random variable into separate redundant, synergistic, union, and unique…

Information Theory · Computer Science 2022-11-22 Artemy Kolchinsky

The recent explosion of interest in multimodal applications has resulted in a wide selection of datasets and methods for representing and integrating information from different modalities. Despite these empirical advances, there remain…

Quantifying modality contributions in multimodal models remains a challenge, as existing approaches conflate the notion of contribution itself. Prior work relies on accuracy-based approaches, interpreting performance drops after removing a…

Machine Learning · Computer Science 2025-11-26 Padegal Amit , Omkar Mahesh Kashyap , Namitha Rayasam , Nidhi Shekhar , Surabhi Narayan

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…

Machine Learning · Computer Science 2025-10-07 Wenyuan Zhao , Adithya Balachandran , Chao Tian , Paul Pu Liang

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…

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…

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)…

Information Theory · Computer Science 2017-02-21 Robin A. A. Ince

In many neural systems anatomical motifs are present repeatedly, but despite their structural similarity they can serve very different tasks. A prime example for such a motif is the canonical microcircuit of six-layered neo-cortex, which is…

Neurons and Cognition · Quantitative Biology 2015-10-07 Michael Wibral , Viola Priesemann , Jim W. Kay , Joseph T. Lizier , William A. Phillips

Learning invariant graph representations for out-of-distribution (OOD) generalization remains challenging because the learned representations often retain spurious components. To address this challenge, this work introduces a new tool from…

Machine Learning · Computer Science 2025-12-09 Barproda Halder , Pasan Dissanayake , Sanghamitra Dutta

Causality is a central topic in scientific inquiry, yet for complex systems, the identification and analysis of synergistic causation remain a challenging and fundamental problem. In the context of causal relations among multivariate…

Machine Learning · Statistics 2026-05-06 Mingzhe Yang , Shuo Wang , Jiang Zhang

Large vision-language models (LVLMs) achieve impressive performance, yet their internal decision-making processes remain opaque, making it difficult to determine if the success stems from true multimodal fusion or from reliance on unimodal…

Machine Learning · Computer Science 2026-04-01 Lixin Xiu , Xufang Luo , Hideki Nakayama

When a multimodal Transformer answers a visual question, is the prediction driven by visual evidence, linguistic reasoning, or genuinely fused cross-modal computation -- and how does this structure evolve across layers? We address this…

Artificial Intelligence · Computer Science 2026-02-18 Hongxuan Wu , Yukun Zhang , Xueqing Zhou

The partial information decomposition (PID) and its extension integrated information decomposition ($\Phi$ID) are promising frameworks to investigate information phenomena involving multiple variables. An important limitation of these…

Information Theory · Computer Science 2024-10-10 Abel Jansma , Pedro A. M. Mediano , Fernando E. Rosas

Spuriousness arises when there is an association between two or more variables in a dataset that are not causally related. In this work, we propose an explainability framework to preemptively disentangle the nature of such spurious…

Machine Learning · Computer Science 2025-11-17 Barproda Halder , Faisal Hamman , Pasan Dissanayake , Qiuyi Zhang , Ilia Sucholutsky , Sanghamitra Dutta

Link prediction aims to identify potential missing triples in knowledge graphs. To get better results, some recent studies have introduced multimodal information to link prediction. However, these methods utilize multimodal information…

Artificial Intelligence · Computer Science 2023-03-21 Xinhang Li , Xiangyu Zhao , Jiaxing Xu , Yong Zhang , Chunxiao Xing

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…

Information Theory · Computer Science 2021-06-25 Kyle Schick-Poland , Abdullah Makkeh , Aaron J. Gutknecht , Patricia Wollstadt , Anja Sturm , Michael Wibral
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