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We present the information-ordered bottleneck (IOB), a neural layer designed to adaptively compress data into latent variables ordered by likelihood maximization. Without retraining, IOB nodes can be truncated at any bottleneck width,…

Machine Learning · Computer Science 2023-05-22 Matthew Ho , Xiaosheng Zhao , Benjamin Wandelt

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

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

Inference capabilities of machine learning (ML) systems skyrocketed in recent years, now playing a pivotal role in various aspect of society. The goal in statistical learning is to use data to obtain simple algorithms for predicting a…

Machine Learning · Computer Science 2020-05-04 Ziv Goldfeld , Yury Polyanskiy

We propose a novel information bottleneck (IB) method named Drop-Bottleneck, which discretely drops features that are irrelevant to the target variable. Drop-Bottleneck not only enjoys a simple and tractable compression objective but also…

Machine Learning · Computer Science 2021-03-24 Jaekyeom Kim , Minjung Kim , Dongyeon Woo , Gunhee Kim

We show that if the conditional distribution p(C | T) factors through a sufficient statistic {\phi}(T), then the Information Bottleneck (IB) problem for (T, C) is exactly equivalent to the IB problem for ({\phi}(T), C). The reduction is…

Information Theory · Computer Science 2026-04-30 Joss Armstrong

Information Bottleneck (IB) is a generalization of rate-distortion theory that naturally incorporates compression and relevance trade-offs for learning. Though the original IB has been extensively studied, there has not been much…

Machine Learning · Computer Science 2019-10-08 Thanh T. Nguyen , Jaesik Choi

In this paper, we present an information-theoretic method for clustering mixed-type data, that is, data consisting of both continuous and categorical variables. The proposed approach extends the Information Bottleneck principle to…

Methodology · Statistics 2026-02-02 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Integrated communication and control serves as a critical ingredient in Multi-Agent Reinforcement Learning. However, partial observability limitations will impair collaboration effectiveness, and a potential solution is to establish…

Multiagent Systems · Computer Science 2025-04-11 Ziqiong Wang , Xiaoxue Yu , Rongpeng Li , Zhifeng Zhao

The Information Bottleneck (IB) principle facilitates effective representation learning by preserving label-relevant information while compressing irrelevant information. However, its strong reliance on accurate labels makes it inherently…

Machine Learning · Computer Science 2025-12-12 Yi Huang , Qingyun Sun , Yisen Gao , Haonan Yuan , Xingcheng Fu , Jianxin Li

Collaborative edge sensing systems, particularly in collaborative perception systems in autonomous driving, can significantly enhance tracking accuracy and reduce blind spots with multi-view sensing capabilities. However, their limited…

Networking and Internet Architecture · Computer Science 2024-09-02 Zhengru Fang , Senkang Hu , Liyan Yang , Yiqin Deng , Xianhao Chen , Yuguang Fang

In the context of statistical learning, the Information Bottleneck method seeks a right balance between accuracy and generalization capability through a suitable tradeoff between compression complexity, measured by minimum description…

Information Theory · Computer Science 2021-02-16 Mohammad Mahdi Mahvari , Mari Kobayashi , Abdellatif Zaidi

Information bottleneck (IB) is a paradigm to extract information in one target random variable from another relevant random variable, which has aroused great interest due to its potential to explain deep neural networks in terms of…

Information Theory · Computer Science 2023-08-23 Lingyi Chen , Shitong Wu , Wenhao Ye , Huihui Wu , Hao Wu , Wenyi Zhang , Bo Bai , Yining Sun

The information bottleneck (IB) method offers an attractive framework for understanding representation learning, however its applications are often limited by its computational intractability. Analytical characterization of the IB method is…

Information Theory · Computer Science 2023-04-03 Vudtiwat Ngampruetikorn , David J. Schwab

We propose a unified information-geometric framework that formalizes understanding in learning as a trade-off between informativeness and geometric simplicity. An encoder phi is evaluated by U(phi) = I(phi(X); Y) - beta * C(phi), where…

Machine Learning · Computer Science 2025-11-05 Ronald Katende

The information bottleneck (IB) principle has been adopted to explain deep learning in terms of information compression and prediction, which are balanced by a trade-off hyperparameter. How to optimize the IB principle for better robustness…

Machine Learning · Computer Science 2021-03-04 Penglong Zhai , Shihua Zhang

We view the Information Bottleneck Principle (IBP: Tishby et al., 1999; Schwartz-Ziv and Tishby, 2017) and Predictive Information Bottleneck Principle (PIBP: Still et al., 2007; Alemi, 2019) as special cases of a family of general…

Machine Learning · Computer Science 2019-12-24 Sayandev Mukherjee

Graph data, essential in fields like knowledge representation and social networks, often involves large networks with many nodes and edges. Transmitting these graphs can be highly inefficient due to their size and redundancy for specific…

Machine Learning · Computer Science 2024-09-05 Shujing Li , Yanhu Wang , Shuaishuai Guo , Chenyuan Feng

The Information Bottleneck (IB) objective uses information theory to formulate a task-performance versus robustness trade-off. It has been successfully applied in the standard discriminative classification setting. We pose the question…

Machine Learning · Computer Science 2021-01-13 Lynton Ardizzone , Radek Mackowiak , Carsten Rother , Ullrich Köthe

Recent progress has shown that the generalization error of the Gibbs algorithm can be exactly characterized using the symmetrized KL information between the learned hypothesis and the entire training dataset. However, evaluating such a…

Information Theory · Computer Science 2024-10-17 Youheng Zhu , Yuheng Bu