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The Information Bottleneck principle offers both a mechanism to explain how deep neural networks train and generalize, as well as a regularized objective with which to train models. However, multiple competing objectives are proposed in the…

Machine Learning · Computer Science 2021-01-06 Andreas Kirsch , Clare Lyle , Yarin Gal

The information bottleneck principle provides an information-theoretic method for representation learning, by training an encoder to retain all information which is relevant for predicting the label while minimizing the amount of other,…

Machine Learning · Computer Science 2020-02-19 Marco Federici , Anjan Dutta , Patrick Forré , Nate Kushman , Zeynep Akata

Concept Bottleneck Models (CBMs) aim to deliver interpretable predictions by routing decisions through a human-understandable concept layer, yet they often suffer reduced accuracy and concept leakage that undermines faithfulness. We…

Machine Learning · Computer Science 2026-02-17 Karim Galliamov , Syed M Ahsan Kazmi , Adil Khan , Adín Ramírez Rivera

We study the information bottleneck (IB) source coding problem, also known as remote lossy source coding under logarithmic loss. Based on a rate-limited description of noisy observations, the receiver produces a soft estimate for the remote…

Information Theory · Computer Science 2026-04-21 Han Wu , Hamdi Joudeh

Artificial neural networks have successfully tackled a large variety of problems by training extremely deep networks via back-propagation. A direct application of back-propagation to spiking neural networks contains biologically implausible…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Kyle Daruwalla , Mikko Lipasti

Efficient signal representation is essential for the functioning of living and artificial systems operating under resource constraints. A widely recognized framework for deriving such representations is the information bottleneck method,…

Molecular Networks · Quantitative Biology 2025-07-08 Vahe Galstyan , Age Tjalma , Pieter Rein ten Wolde

Deep learning models are nowadays broadly deployed to solve an incredibly large variety of tasks. Commonly, leveraging over the availability of "big data", deep neural networks are trained as black-boxes, minimizing an objective function at…

Machine Learning · Computer Science 2022-10-04 Enzo Tartaglione

The feature attribution method reveals the contribution of input variables to the decision-making process to provide an attribution map for explanation. Existing methods grounded on the information bottleneck principle compute information…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Jung-Ho Hong , Ho-Joong Kim , Kyu-Sung Jeon , Seong-Whan Lee

In classic papers, Zellner demonstrated that Bayesian inference could be derived as the solution to an information theoretic functional. Below we derive a generalized form of this functional as a variational lower bound of a predictive…

Machine Learning · Computer Science 2019-10-25 Alexander A. Alemi

In this work we propose a statistical approach to handling sources of theoretical uncertainty in string theory models of inflation. By viewing a model of inflation as a probabilistic graph, we show that there is an inevitable information…

High Energy Physics - Theory · Physics 2019-06-05 Mafalda Dias , Jonathan Frazer , Alexander Westphal

Estimating the dimensionality of the latent representation needed for prediction -- the task-relevant dimension -- is a difficult, largely unsolved problem with broad scientific applications. We cast it as an Information Bottleneck…

Machine Learning · Computer Science 2026-02-10 Paarth Gulati , Eslam Abdelaleem , Audrey Sederberg , Ilya Nemenman

Explaining deep learning models operating on time series data is crucial in various applications of interest which require interpretable and transparent insights from time series signals. In this work, we investigate this problem from an…

The problem of distributed representation learning is one in which multiple sources of information $X_1,\ldots,X_K$ are processed separately so as to learn as much information as possible about some ground truth $Y$. We investigate this…

Machine Learning · Statistics 2019-04-02 Inaki Estella Aguerri , Abdellatif Zaidi

Pretrained transformers achieve the state of the art across tasks in natural language processing, motivating researchers to investigate their inner mechanisms. One common direction is to understand what features are important for…

Computation and Language · Computer Science 2021-08-06 Zhiying Jiang , Raphael Tang , Ji Xin , Jimmy Lin

Numerical analysts might be expected to pay close attention to a branch of complexity theory called information-based complexity theory (IBCT), which produces an abundance of impressive results about the quest for approximate solutions to…

Numerical Analysis · Mathematics 2025-10-20 Beresford N. Parlett

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

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

Designing machine learning algorithms that are accurate yet fair, not discriminating based on any sensitive attribute, is of paramount importance for society to accept AI for critical applications. In this article, we propose a novel fair…

Machine Learning · Computer Science 2023-12-04 Adam Gronowski , William Paul , Fady Alajaji , Bahman Gharesifard , Philippe Burlina

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

While large-scale pretrained language models have obtained impressive results when fine-tuned on a wide variety of tasks, they still often suffer from overfitting in low-resource scenarios. Since such models are general-purpose feature…

Computation and Language · Computer Science 2021-06-11 Rabeeh Karimi Mahabadi , Yonatan Belinkov , James Henderson