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The information bottleneck (IB) problem tackles the issue of obtaining relevant compressed representations $T$ of some random variable $X$ for the task of predicting $Y$. It is defined as a constrained optimization problem which maximizes…

Machine Learning · Statistics 2020-02-19 Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

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 is a technique for extracting information that is relevant for predicting the target random variable from the source random variable, which is typically implemented by optimizing the IB Lagrangian that…

Machine Learning · Computer Science 2020-12-23 Ziqi Pan , Li Niu , Jianfu Zhang , Liqing Zhang

Information bottleneck (IB) is a method for extracting information from one random variable $X$ that is relevant for predicting another random variable $Y$. To do so, IB identifies an intermediate "bottleneck" variable $T$ that has low…

Machine Learning · Statistics 2022-11-22 Artemy Kolchinsky , Brendan D. Tracey , Steven Van Kuyk

In this work, we generalize the information bottleneck (IB) approach to the multi-view learning context. The exponentially growing complexity of the optimal representation motivates the development of two novel formulations with more…

Information Theory · Computer Science 2022-09-20 Teng-Hui Huang , Aly El Gamal , Hesham El Gamal

The Information Bottleneck (IB) principle has emerged as a promising approach for enhancing the generalization, robustness, and interpretability of deep neural networks, demonstrating efficacy across image segmentation, document clustering,…

Information Theory · Computer Science 2025-04-18 Hanzhe Yang , Youlong Wu , Dingzhu Wen , Yong Zhou , Yuanming Shi

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

Information Bottleneck (IB) is a technique to extract information about one target random variable through another relevant random variable. This technique has garnered significant interest due to its broad applications in information…

Information Theory · Computer Science 2024-04-09 Lingyi Chen , Shitong Wu , Jiachuan Ye , Huihui Wu , Wenyi Zhang , Hao Wu

The Information Bottleneck (IB) method (\cite{tishby2000information}) provides an insightful and principled approach for balancing compression and prediction for representation learning. The IB objective $I(X;Z)-\beta I(Y;Z)$ employs a…

Machine Learning · Computer Science 2019-10-23 Tailin Wu , Ian Fischer , Isaac L. Chuang , Max Tegmark

Information bottleneck (IB) is a technique for extracting information in one random variable $X$ that is relevant for predicting another random variable $Y$. IB works by encoding $X$ in a compressed "bottleneck" random variable $M$ from…

Information Theory · Computer Science 2022-11-22 Artemy Kolchinsky , Brendan D. Tracey , David H. Wolpert

The alternating direction method with multipliers (ADMM) has been one of most powerful and successful methods for solving various convex or nonconvex composite problems that arise in the fields of image & signal processing and machine…

Optimization and Control · Mathematics 2014-12-08 Fenghui Wang , Zongben Xu , Hong-Kun Xu

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

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

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

The information bottleneck (IB) problem is a widely studied framework in machine learning for extracting compressed features that are informative for downstream tasks. However, current approaches to solving the IB problem rely on a…

Information Theory · Computer Science 2024-10-11 Amirmohammad Farzaneh , Osvaldo Simeone

The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant information from the original data. In its classical…

Information Theory · Computer Science 2026-02-23 Akira Kamatsuka , Takahiro Yoshida

We address the problem of solving convex optimization problems with many convex constraints in a distributed setting. Our approach is based on an extension of the alternating direction method of multipliers (ADMM) that recently gained a lot…

Optimization and Control · Mathematics 2018-04-09 Joachim Giesen , Sören Laue

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

In recent several years, the information bottleneck (IB) principle provides an information-theoretic framework for deep multi-view clustering (MVC) by compressing multi-view observations while preserving the relevant information of multiple…

Information Theory · Computer Science 2024-03-26 Xiaoqiang Yan , Zhixiang Jin , Fengshou Han , Yangdong Ye

Information bottleneck (IB) and privacy funnel (PF) are two closely related optimization problems which have found applications in machine learning, design of privacy algorithms, capacity problems (e.g., Mrs. Gerber's Lemma), strong data…

Information Theory · Computer Science 2020-12-30 Shahab Asoodeh , Flavio Calmon
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