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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

Given the input graph and its label/property, several key problems of graph learning, such as finding interpretable subgraphs, graph denoising and graph compression, can be attributed to the fundamental problem of recognizing a subgraph of…

Machine Learning · Computer Science 2020-10-13 Junchi Yu , Tingyang Xu , Yu Rong , Yatao Bian , Junzhou Huang , Ran He

The Information Bottleneck (IB) method is an information theoretical framework to design a parsimonious and tunable feature-extraction mechanism, such that the extracted features are maximally relevant to a specific learning or inference…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Francesco Binucci , Paolo Banelli , Paolo Di Lorenzo , Sergio Barbarossa

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

Deep neural networks suffer from poor generalization to unseen environments when the underlying data distribution is different from that in the training set. By learning minimum sufficient representations from training data, the information…

Machine Learning · Computer Science 2021-10-13 Francesco Alesiani , Shujian Yu , Xi Yu

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) is a conceptual method for extracting the most compact, yet informative, representation of a set of variables, with respect to the target. It generalizes the notion of minimal sufficient statistics from…

Machine Learning · Computer Science 2017-11-08 Amichai Painsky , Naftali Tishby

The Information Bottleneck (IB) principle offers a compelling theoretical framework to understand how neural networks (NNs) learn. However, its practical utility has been constrained by unresolved theoretical ambiguities and significant…

Machine Learning · Computer Science 2026-02-02 Charles Westphal , Stephen Hailes , Mirco Musolesi

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

The information bottleneck (IB) approach is popular to improve the generalization, robustness and explainability of deep neural networks. Essentially, it aims to find a minimum sufficient representation $\mathbf{t}$ by striking a trade-off…

Machine Learning · Computer Science 2024-04-30 Shujian Yu , Xi Yu , Sigurd Løkse , Robert Jenssen , Jose C. Principe

The information bottleneck (IB) principle has been suggested as a way to analyze deep neural networks. The learning dynamics are studied by inspecting the mutual information (MI) between the hidden layers and the input and output. Notably,…

Machine Learning · Computer Science 2022-02-15 Stephan Sloth Lorenzen , Christian Igel , Mads Nielsen

The Information Bottleneck (IB) principle offers an information-theoretic framework for analyzing the training process of deep neural networks (DNNs). Its essence lies in tracking the dynamics of two mutual information (MI) values: between…

Machine Learning · Computer Science 2024-05-10 Ivan Butakov , Alexander Tolmachev , Sofia Malanchuk , Anna Neopryatnaya , Alexey Frolov , Kirill Andreev

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 emergence of Graph Convolutional Network (GCN) has greatly boosted the progress of graph learning. However, two disturbing factors, noise and redundancy in graph data, and lack of interpretation for prediction results, impede further…

Machine Learning · Computer Science 2021-03-23 Junchi Yu , Tingyang Xu , Yu Rong , Yatao Bian , Junzhou Huang , Ran He

Information bottleneck is an information-theoretic principle of representation learning that aims to learn a maximally compressed representation that preserves as much information about labels as possible. Under this principle, two…

Information Theory · Computer Science 2023-11-08 Yuyan Ni , Yanyan Lan , Ao Liu , Zhiming Ma

The Information Bottleneck (IB) framework is a general characterization of optimal representations obtained using a principled approach for balancing accuracy and complexity. Here we present a new framework, the Dual Information Bottleneck…

Information Theory · Computer Science 2020-06-09 Zoe Piran , Ravid Shwartz-Ziv , Naftali Tishby

The fruits of science are relationships made comprehensible, often by way of approximation. While deep learning is an extremely powerful way to find relationships in data, its use in science has been hindered by the difficulty of…

Machine Learning · Computer Science 2022-04-18 Kieran A. Murphy , Dani S. Bassett

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 widely used framework that enables the extraction of information related to a target random variable from a source random variable. In the objective function, IB controls the trade-off between data…

Machine Learning · Computer Science 2025-08-13 Sota Kudo , Naoaki Ono , Shigehiko Kanaya , Ming Huang

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
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