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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…

Statistical Mechanics · Physics 2018-04-03 James W. Kay , Robin A. A. Ince

We expose a critical limitation in current approaches to machine unlearning in language models: despite the apparent success of unlearning algorithms, information about the forgotten data remains linearly decodable from internal…

Machine Learning · Computer Science 2026-01-22 Anmol Goel , Alan Ritter , Iryna Gurevych

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,…

Information Theory · Computer Science 2019-01-30 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

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…

Information Theory · Computer Science 2023-12-11 Thomas F. Varley

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 effective joint embedding for cross-modal data has always been a focus in the field of multimodal machine learning. We argue that during multimodal fusion, the generated multimodal embedding may be redundant, and the discriminative…

Machine Learning · Computer Science 2022-12-06 Sijie Mai , Ying Zeng , Haifeng Hu

Extracting relevant information from data is crucial for all forms of learning. The information bottleneck (IB) method formalizes this, offering a mathematically precise and conceptually appealing framework for understanding learning…

Machine Learning · Computer Science 2021-10-27 Vudtiwat Ngampruetikorn , David J. Schwab

We consider the problem of decomposing the total mutual information conveyed by a pair of predictor random variables about a target random variable into redundant, unique and synergistic contributions. We focus on the relationship between…

Information Theory · Computer Science 2015-09-15 Pradeep Kr. Banerjee , Virgil Griffith

The information bottleneck (IB) method is a technique designed to extract meaningful information related to one random variable from another random variable, and has found extensive applications in machine learning problems. In this paper,…

Information Theory · Computer Science 2025-07-29 Lingyi Chen , Shitong Wu , Sicheng Xu , Huihui Wu , Wenyi Zhang

Collaborative perception systems leverage multiple edge devices, such surveillance cameras or autonomous cars, to enhance sensing quality and eliminate blind spots. Despite their advantages, challenges such as limited channel capacity and…

Networking and Internet Architecture · Computer Science 2025-01-07 Zhengru Fang , Senkang Hu , Jingjing Wang , Yiqin Deng , Xianhao Chen , Yuguang Fang

This paper introduces a novel information-theoretic perspective on the relationship between prominent group fairness notions in machine learning, namely statistical parity, equalized odds, and predictive parity. It is well known that…

Information Theory · Computer Science 2024-10-25 Faisal Hamman , Sanghamitra Dutta

Whenever communication takes place to fulfil a goal, an effective way to encode the source data to be transmitted is to use an encoding rule that allows the receiver to meet the requirements of the goal. A formal way to identify the…

Signal Processing · Electrical Eng. & Systems 2022-11-24 Francesco Pezone , Sergio Barbarossa , Paolo Di Lorenzo

Behavior Cloning (BC) is a widely adopted visual imitation learning method in robot manipulation. Current BC approaches often enhance generalization by leveraging large datasets and incorporating additional visual and textual modalities to…

Robotics · Computer Science 2025-05-14 Shuanghao Bai , Wanqi Zhou , Pengxiang Ding , Wei Zhao , Donglin Wang , Badong Chen

Information Bottleneck (IB) based multi-view learning provides an information theoretic principle for seeking shared information contained in heterogeneous data descriptions. However, its great success is generally attributed to estimate…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Xudong Tian , Zhizhong Zhang , Cong Wang , Wensheng Zhang , Yanyun Qu , Lizhuang Ma , Zongze Wu , Yuan Xie , Dacheng Tao

We study the problem of distributed information bottleneck, in which multiple encoders separately compress their observations in a manner such that, collectively, the compressed signals preserve as much information as possible about another…

Information Theory · Computer Science 2017-10-04 Inaki Estella Aguerri , Abdellatif Zaidi

In neural networks, task-relevant information is represented jointly by groups of neurons. However, the specific way in which this mutual information about the classification label is distributed among the individual neurons is not well…

Information Theory · Computer Science 2023-06-08 David A. Ehrlich , Andreas C. Schneider , Viola Priesemann , Michael Wibral , Abdullah Makkeh

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…

Information Theory · Computer Science 2021-10-28 Ari Pakman , Amin Nejatbakhsh , Dar Gilboa , Abdullah Makkeh , Luca Mazzucato , Michael Wibral , Elad Schneidman

Partial information decompositions (PIDs), which quantify information interactions between three or more variables in terms of uniqueness, redundancy and synergy, are gaining traction in many application domains. However, our understanding…

Information Theory · Computer Science 2023-02-24 Praveen Venkatesh , Keerthana Gurushankar , Gabriel Schamberg

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

Distributed computation in artificial life and complex systems is often described in terms of component operations on information: information storage, transfer and modification. Information modification remains poorly described however,…

Information Theory · Computer Science 2013-10-10 Joseph T. Lizier , Benjamin Flecker , Paul L. Williams