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Information Bottleneck (IB) is widely used, but in deep learning, it is usually implemented through tractable surrogates, such as variational bounds or neural mutual information (MI) estimators, rather than directly controlling the MI…

Machine Learning · Computer Science 2026-02-05 Weiqi Wang , Zhiyi Tian , Chenhan Zhang , Shui Yu

Subgraph recognition aims at discovering a compressed substructure of a graph that is most informative to the graph property. It can be formulated by optimizing Graph Information Bottleneck (GIB) with a mutual information estimator.…

Machine Learning · Computer Science 2022-04-05 Junchi Yu , Jie Cao , Ran He

Graph Neural Networks (GNNs) have shown promising results on a broad spectrum of applications. Most empirical studies of GNNs directly take the observed graph as input, assuming the observed structure perfectly depicts the accurate and…

Machine Learning · Computer Science 2021-12-17 Qingyun Sun , Jianxin Li , Hao Peng , Jia Wu , Xingcheng Fu , Cheng Ji , Philip S. Yu

Representation learning of graph-structured data is challenging because both graph structure and node features carry important information. Graph Neural Networks (GNNs) provide an expressive way to fuse information from network structure…

Machine Learning · Computer Science 2020-10-27 Tailin Wu , Hongyu Ren , Pan Li , Jure Leskovec

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 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

Graph neural networks(GNNs) have been demonstrated to depend on whether the node effective information is sufficiently passing. Discrete curvature (Ricci curvature) is used to study graph connectivity and information propagation efficiency…

Machine Learning · Computer Science 2024-12-31 Xingcheng Fu , Jian Wang , Yisen Gao , Qingyun Sun , Haonan Yuan , Jianxin Li , Xianxian Li

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

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

In this work, we propose Cell Variational Information Bottleneck Network (cellVIB), a convolutional neural network using information bottleneck mechanism, which can be combined with the latest feedforward network architecture in an…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Zhonghua Zhai , Chen Ju , Jinsong Lan , Shuai Xiao

Variational dimensionality reduction methods are widely used for their accuracy, generative capabilities, and robustness. We introduce a unifying framework that generalizes both such as traditional and state-of-the-art methods. The…

Machine Learning · Computer Science 2025-09-04 Eslam Abdelaleem , Ilya Nemenman , K. Michael Martini

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

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 present a simple case study, demonstrating that Variational Information Bottleneck (VIB) can improve a network's classification calibration as well as its ability to detect out-of-distribution data. Without explicitly being designed to…

Machine Learning · Computer Science 2018-07-04 Alexander A. Alemi , Ian Fischer , Joshua V. Dillon

Motivated by the presence of deep connections among dynamical equations, experimental data, physical systems, and statistical modeling, we report on a series of findings uncovered by the Authors and collaborators during the last decade…

Data Analysis, Statistics and Probability · Physics 2018-08-22 Sean Alan Ali , Carlo Cafaro , Steven Gassner , Adom Giffin

The success of Graph Neural Networks (GNNs) has led to a need for understanding their decision-making process and providing explanations for their predictions, which has given rise to explainable AI (XAI) that offers transparent…

Machine Learning · Computer Science 2024-02-21 Sangwoo Seo , Sungwon Kim , Chanyoung Park

Information Bottlenecks (IBs) learn representations that generalize to unseen data by information compression. However, existing IBs are practically unable to guarantee generalization in real-world scenarios due to the vacuous…

Machine Learning · Computer Science 2023-05-01 Yilin Lyu , Xin Liu , Mingyang Song , Xinyue Wang , Yaxin Peng , Tieyong Zeng , Liping Jing

Deep neural networks typically learn spatially entangled representations that conflate discriminative foreground features with spurious background correlations, thereby undermining model interpretability and robustness. We propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Kaixiang Shu , Kai Meng , Junqin Luo

Extraction of structure, in particular of group symmetries, is increasingly crucial to understanding and building intelligent models. In particular, some information-theoretic models of parsimonious learning have been argued to induce…

Information Theory · Computer Science 2025-07-08 Hippolyte Charvin , Nicola Catenacci Volpi , Daniel Polani

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
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