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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

Numerous deep learning algorithms have been inspired by and understood via the notion of information bottleneck, where unnecessary information is (often implicitly) minimized while task-relevant information is maximized. However, a rigorous…

Machine Learning · Computer Science 2023-05-31 Kenji Kawaguchi , Zhun Deng , Xu Ji , Jiaoyang Huang

Deep neural networks (DNNs) have achieved significant success in various applications with large-scale and balanced data. However, data in real-world visual recognition are usually long-tailed, bringing challenges to efficient training and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Yifan Lan , Xin Cai , Jun Cheng , Shan Tan

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

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

Compact neural networks are essential for affordable and power efficient deep learning solutions. Binary Neural Networks (BNNs) take compactification to the extreme by constraining both weights and activations to two levels, $\{+1, -1\}$.…

Machine Learning · Computer Science 2020-06-16 Vishnu Raj , Nancy Nayak , Sheetal Kalyani

We introduce the matrix-based Renyi's $\alpha$-order entropy functional to parameterize Tishby et al. information bottleneck (IB) principle with a neural network. We term our methodology Deep Deterministic Information Bottleneck (DIB), as…

Machine Learning · Computer Science 2021-02-02 Xi Yu , Shujian Yu , Jose C. Principe

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

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

Deep learning has become the most powerful machine learning tool in the last decade. However, how to efficiently train deep neural networks remains to be thoroughly solved. The widely used minibatch stochastic gradient descent (SGD) still…

Machine Learning · Computer Science 2021-05-18 Xinyu Peng , Jiawei Zhang , Fei-Yue Wang , Li Li

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) 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

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

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

Effective adaptation to distribution shifts in training data is pivotal for sustaining robustness in neural networks, especially when removing specific biases or outdated information, a process known as machine unlearning. Traditional…

Machine Learning · Computer Science 2024-05-24 Ling Han , Hao Huang , Dustin Scheinost , Mary-Anne Hartley , María Rodríguez Martínez

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 selective visual attention mechanism in the human visual system (HVS) restricts the amount of information to reach visual awareness for perceiving natural scenes, allowing near real-time information processing with limited computational…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Qiuxia Lai , Yu Li , Ailing Zeng , Minhao Liu , Hanqiu Sun , Qiang Xu

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

Neural collapse describes the geometry of activation in the final layer of a deep neural network when it is trained beyond performance plateaus. Open questions include whether neural collapse leads to better generalization and, if so, why…

Machine Learning · Computer Science 2024-06-28 Siwei Wang , Stephanie E Palmer

Deep learning has revolutionized modern society but faces growing energy and latency constraints. Deep physical neural networks (PNNs) are interconnected computing systems that directly exploit analog dynamics for energy-efficient,…

Machine Learning · Computer Science 2026-02-11 Hao Wang , Ziao Wang , Xiangpeng Liang , Han Zhao , Jianqi Hu , Junjie Jiang , Xing Fu , Jianshi Tang , Huaqiang Wu , Sylvain Gigan , Qiang Liu