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The learning dynamics of deep neural networks are subject to controversy. Using the information bottleneck (IB) theory separate fitting and compression phases have been put forward but have since been heavily debated. We approach learning…

Machine Learning · Computer Science 2022-02-18 Johannes Schneider

The learning dynamics of deep neural networks are not well understood. The information bottleneck (IB) theory proclaimed separate fitting and compression phases. But they have since been heavily debated. We comprehensively analyze the…

Machine Learning · Computer Science 2023-12-15 Johannes Schneider , Mohit Prabhushankar

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

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 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

Deep neural networks (DNNs) exhibit an exceptional capacity for generalization in practical applications. This work aims to capture the effect and benefits of depth for supervised learning via information-theoretic generalization bounds. We…

Machine Learning · Computer Science 2025-05-09 Haiyun He , Ziv Goldfeld

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

Based on the notion of information bottleneck (IB), we formulate a quantization problem called "IB quantization". We show that IB quantization is equivalent to learning based on the IB principle. Under this equivalence, the standard neural…

Machine Learning · Computer Science 2019-02-13 Hongyu Guo , Yongyi Mao , Ali Al-Bashabsheh , Richong Zhang

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

Recent years, many researches attempt to open the black box of deep neural networks and propose a various of theories to understand it. Among them, Information Bottleneck (IB) theory claims that there are two distinct phases consisting of…

Machine Learning · Statistics 2021-02-22 Junjie Li , Ding Liu

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

The information bottleneck principle is an elegant and useful approach to representation learning. In this paper, we investigate the problem of representation learning in the context of reinforcement learning using the information…

Machine Learning · Computer Science 2019-11-14 Pei Yingjun , Hou Xinwen

It is well-known that the training of Deep Neural Networks (DNN) can be formalized in the language of optimal control. In this context, this paper leverages classical turnpike properties of optimal control problems to attempt a quantifiable…

Machine Learning · Computer Science 2021-01-11 Timm Faulwasser , Arne-Jens Hempel , Stefan Streif

Deep neural networks excel in supervised learning tasks but are constrained by the need for extensive labeled data. Self-supervised learning emerges as a promising alternative, allowing models to learn without explicit labels. Information…

Machine Learning · Computer Science 2023-11-22 Ravid Shwartz-Ziv , Yann LeCun

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 hierarchical nature of corporate information processing is a topic of great interest in economic and management literature. Firms are characterised by a need to make complex decisions, often aggregating partial and uncertain…

Social and Information Networks · Computer Science 2022-10-27 Cameron Gordon

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

Deep neural networks (DNN) have been a de facto standard for nowadays biometric recognition solutions. A serious, but still overlooked problem in these DNN-based recognition systems is their vulnerability against adversarial attacks.…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Renjie Xie , Yanzhi Chen , Yan Wo , Qiao Wang

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

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