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We consider information-theoretic bounds on expected generalization error for statistical learning problems in a networked setting. In this setting, there are $K$ nodes, each with its own independent dataset, and the models from each node…

Information Theory · Computer Science 2024-01-17 L. P. Barnes , Alex Dytso , H. V. Poor

Attribution methods provide insights into the decision-making of machine learning models like artificial neural networks. For a given input sample, they assign a relevance score to each individual input variable, such as the pixels of an…

Machine Learning · Statistics 2020-05-26 Karl Schulz , Leon Sixt , Federico Tombari , Tim Landgraf

Information theory has inspired numerous advancements in multi-view learning. Most multi-view methods incorporating information-theoretic principles rely an assumption called multi-view redundancy which states that common information…

Machine Learning · Computer Science 2025-09-03 Long Shi , Yunshan Ye , Wenjie Wang , Tao Lei , Yu Zhao , Gang Kou , Badong Chen

We formulate meta learning using information theoretic concepts; namely, mutual information and the information bottleneck. The idea is to learn a stochastic representation or encoding of the task description, given by a training set, that…

Machine Learning · Computer Science 2021-07-06 Michalis K. Titsias , Francisco J. R. Ruiz , Sotirios Nikoloutsopoulos , Alexandre Galashov

We present the information-ordered bottleneck (IOB), a neural layer designed to adaptively compress data into latent variables ordered by likelihood maximization. Without retraining, IOB nodes can be truncated at any bottleneck width,…

Machine Learning · Computer Science 2023-05-22 Matthew Ho , Xiaosheng Zhao , Benjamin Wandelt

We present a general approach to deriving bounds on the generalization error of randomized learning algorithms. Our approach can be used to obtain bounds on the average generalization error as well as bounds on its tail probabilities, both…

Information Theory · Computer Science 2020-09-10 Fredrik Hellström , Giuseppe Durisi

In many applications, it is desirable to extract only the relevant aspects of data. A principled way to do this is the information bottleneck (IB) method, where one seeks a code that maximizes information about a 'relevance' variable, Y,…

Machine Learning · Statistics 2016-10-27 Matthew Chalk , Olivier Marre , Gasper Tkacik

Maintaining efficient semantic representations of the environment is a major challenge both for humans and for machines. While human languages represent useful solutions to this problem, it is not yet clear what computational principle…

Computation and Language · Computer Science 2018-08-13 Noga Zaslavsky , Charles Kemp , Terry Regier , Naftali Tishby

Although deep learning models have achieved state-of-the-art performance on a number of vision tasks, generalization over high dimensional multi-modal data, and reliable predictive uncertainty estimation are still active areas of research.…

Machine Learning · Computer Science 2020-12-10 Samarth Sinha , Homanga Bharadhwaj , Anirudh Goyal , Hugo Larochelle , Animesh Garg , Florian Shkurti

The information bottleneck (IB) problem tackles the issue of obtaining relevant compressed representations $T$ of some random variable $X$ for the task of predicting $Y$. It is defined as a constrained optimization problem which maximizes…

Machine Learning · Statistics 2020-02-19 Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

This paper presents an information-theoretic framework for unifying active learning problems: level set estimation (LSE), Bayesian optimization (BO), and their generalized variant. We first introduce a novel active learning criterion that…

Machine Learning · Computer Science 2020-12-22 Quoc Phong Nguyen , Bryan Kian Hsiang Low , Patrick Jaillet

Pre-training GNNs to extract transferable knowledge and apply it to downstream tasks has become the de facto standard of graph representation learning. Recent works focused on designing self-supervised pre-training tasks to extract useful…

Machine Learning · Computer Science 2024-04-24 Zhe Zhao , Pengkun Wang , Xu Wang , Haibin Wen , Xiaolong Xie , Zhengyang Zhou , Qingfu Zhang , Yang Wang

Adversarial learning methods have been proposed for a wide range of applications, but the training of adversarial models can be notoriously unstable. Effectively balancing the performance of the generator and discriminator is critical,…

Machine Learning · Computer Science 2020-08-26 Xue Bin Peng , Angjoo Kanazawa , Sam Toyer , Pieter Abbeel , Sergey Levine

In this paper, we propose a novel method, IB-RAR, which uses Information Bottleneck (IB) to strengthen adversarial robustness for both adversarial training and non-adversarial-trained methods. We first use the IB theory to build…

Machine Learning · Computer Science 2023-06-01 Xiaoyun Xu , Guilherme Perin , Stjepan Picek

We consider a generalization of an important class of high-dimensional inference problems, namely spiked symmetric matrix models, often used as probabilistic models for principal component analysis. Such paradigmatic models have recently…

Information Theory · Computer Science 2020-05-19 Jean Barbier , Galen Reeves

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

To effectively study complex causal systems, it is often useful to construct abstractions of parts of the system by discarding irrelevant details while preserving key features. The Information Bottleneck (IB) method is a widely used…

Machine Learning · Computer Science 2025-06-12 Francisco N. F. Q. Simoes , Mehdi Dastani , Thijs van Ommen

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

Hebbian meta-learning has recently shown promise to solve hard reinforcement learning problems, allowing agents to adapt to some degree to changes in the environment. However, because each synapse in these approaches can learn a very…

Neural and Evolutionary Computing · Computer Science 2021-06-24 Rasmus Berg Palm , Elias Najarro , Sebastian Risi

Imitation learning uses data for training policies to solve complex tasks. However, when the training data is collected from human demonstrators, it often leads to multimodal distributions because of the variability in human actions. Most…

Machine Learning · Computer Science 2023-11-01 Denis Blessing , Onur Celik , Xiaogang Jia , Moritz Reuss , Maximilian Xiling Li , Rudolf Lioutikov , Gerhard Neumann