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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

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

Initialization plays a critical role in the training of deep neural networks (DNN). Existing initialization strategies mainly focus on stabilizing the training process to mitigate gradient vanish/explosion problems. However, these…

Machine Learning · Computer Science 2021-08-17 Haitao Mao , Xu Chen , Qiang Fu , Lun Du , Shi Han , Dongmei Zhang

Deep neural networks tend to exhibit a bias toward low-rank solutions during training, implicitly learning low-dimensional feature representations. This paper investigates how deep multilayer perceptrons (MLPs) encode these feature…

Machine Learning · Computer Science 2024-10-11 Niket Patel , Ravid Shwartz-Ziv

To improve how neural networks function it is crucial to understand their learning process. The information bottleneck theory of deep learning proposes that neural networks achieve good generalization by compressing their representations to…

Machine Learning · Computer Science 2023-04-03 Ivan Chelombiev , Conor Houghton , Cian O'Donnell

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

Understanding the source of the superior generalization ability of NNs remains one of the most important problems in ML research. There have been a series of theoretical works trying to derive non-vacuous bounds for NNs. Recently, the…

Machine Learning · Computer Science 2022-03-07 Zifeng Wang , Shao-Lun Huang , Ercan E. Kuruoglu , Jimeng Sun , Xi Chen , Yefeng Zheng

Combining the Information Bottleneck model with deep learning by replacing mutual information terms with deep neural nets has proved successful in areas ranging from generative modelling to interpreting deep neural networks. In this paper,…

Machine Learning · Computer Science 2020-02-19 Aleksander Wieczorek , Volker Roth

We study the flow of information and the evolution of internal representations during deep neural network (DNN) training, aiming to demystify the compression aspect of the information bottleneck theory. The theory suggests that DNN training…

Machine Learning · Computer Science 2019-05-31 Ziv Goldfeld , Ewout van den Berg , Kristjan Greenewald , Igor Melnyk , Nam Nguyen , Brian Kingsbury , Yury Polyanskiy

Deep learning representations are often difficult to interpret, which can hinder their deployment in sensitive applications. Concept Bottleneck Models (CBMs) have emerged as a promising approach to mitigate this issue by learning…

Machine Learning · Computer Science 2026-01-30 Antonio Almudévar , José Miguel Hernández-Lobato , Alfonso Ortega

Deep neural networks (DNNs) have garnered significant attention in financial asset pricing, due to their strong capacity for modeling complex nonlinear relationships within financial data. However, sophisticated models are prone to…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Che Sun

This study comes as a timely response to mounting criticism of the information bottleneck (IB) theory, injecting fresh perspectives to rectify misconceptions and reaffirm its validity. Firstly, we introduce an auxiliary function to…

Machine Learning · Computer Science 2023-05-22 Faxian Cao , Yongqiang Cheng , Adil Mehmood Khan , Zhijing Yang

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

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

Integration of data from multiple omics techniques is becoming increasingly important in biomedical research. Due to non-uniformity and technical limitations in omics platforms, such integrative analyses on multiple omics, which we refer to…

Machine Learning · Computer Science 2021-02-11 Changhee Lee , Mihaela van der Schaar

We provide in this paper a concrete method for training a quantum neural network to maximize the relevant information about a property that is transmitted through the network. This is significant because it gives an operationally well…

Quantum Physics · Physics 2024-01-23 Ahmet Burak Catli , Nathan Wiebe

Benefiting from large-scale pretrained vision language models (VLMs), the performance of visual question answering (VQA) has approached human oracles. However, finetuning such models on limited data often suffers from overfitting and poor…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Jingjing Jiang , Ziyi Liu , Nanning Zheng

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

This paper describes a novel design of a neural network-based speech generation model for learning prosodic representation.The problem of representation learning is formulated according to the information bottleneck (IB) principle. A…

Audio and Speech Processing · Electrical Eng. & Systems 2021-08-09 Guangyan Zhang , Ying Qin , Daxin Tan , Tan Lee

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