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Mutual learning is an ensemble training strategy to improve generalization by transferring individual knowledge to each other while simultaneously training multiple models. In this work, we propose an effective mutual learning method for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-10 Wonpyo Park , Wonjae Kim , Kihyun You , Minsu Cho

Variational mutual information (MI) estimators are widely used in unsupervised representation learning methods such as contrastive predictive coding (CPC). A lower bound on MI can be obtained from a multi-class classification problem, where…

Machine Learning · Computer Science 2020-12-04 Jiaming Song , Stefano Ermon

Successful applications of InfoNCE and its variants have popularized the use of contrastive variational mutual information (MI) estimators in machine learning. While featuring superior stability, these estimators crucially depend on costly…

Machine Learning · Statistics 2022-10-25 Qing Guo , Junya Chen , Dong Wang , Yuewei Yang , Xinwei Deng , Lawrence Carin , Fan Li , Jing Huang , Chenyang Tao

This paper introduces MutualNeRF, a framework enhancing Neural Radiance Field (NeRF) performance under limited samples using Mutual Information Theory. While NeRF excels in 3D scene synthesis, challenges arise with limited data and existing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Zifan Wang , Jingwei Li , Yitang Li , Yunze Liu

Estimating mutual information (MI) between two continuous random variables $X$ and $Y$ allows to capture non-linear dependencies between them, non-parametrically. As such, MI estimation lies at the core of many data science applications.…

Information Theory · Computer Science 2022-01-19 Alexander Marx , Jonas Fischer

We study some of the most commonly used mutual information estimators, based on histograms of fixed or adaptive bin size, $k$-nearest neighbors and kernels, and focus on optimal selection of their free parameters. We examine the consistency…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Angeliki Papana , Dimitris Kugiumtzis

In this paper a numerical method is presented, which finds a lower bound for the mutual information between a binary and an arbitrary finite random variable with joint distributions that have a variational distance not greater than a known…

Information Theory · Computer Science 2013-01-29 A. G. Stefani , J. B. Huber , C. Jardin , H. Sticht

We consider the processing of statistical samples $X\sim P_\theta$ by a channel $p(y|x)$, and characterize how the statistical information from the samples for estimating the parameter $\theta\in\mathbb{R}^d$ can scale with the mutual…

Information Theory · Computer Science 2021-07-12 Leighton Pate Barnes , Ayfer Ozgur

Measuring geometric similarity between high-dimensional network representations is a topic of longstanding interest to neuroscience and deep learning. Although many methods have been proposed, only a few works have rigorously analyzed their…

Machine Learning · Statistics 2023-12-12 Dean A. Pospisil , Brett W. Larsen , Sarah E. Harvey , Alex H. Williams

To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation…

Information Theory · Computer Science 2019-08-27 Chongjun Ouyang , Sheng Wu , Hongwen Yang

The data for many classification problems, such as pattern and speech recognition, follow mixture distributions. To quantify the optimum performance for classification tasks, the Shannon mutual information is a natural information-theoretic…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yijun Ding , Amit Ashok

Recently, token-level adaptive training has achieved promising improvement in machine translation, where the cross-entropy loss function is adjusted by assigning different training weights to different tokens, in order to alleviate the…

Computation and Language · Computer Science 2021-05-28 Yangyifan Xu , Yijin Liu , Fandong Meng , Jiajun Zhang , Jinan Xu , Jie Zhou

We introduce Transductive Infomation Maximization (TIM) for few-shot learning. Our method maximizes the mutual information between the query features and their label predictions for a given few-shot task, in conjunction with a supervision…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Malik Boudiaf , Ziko Imtiaz Masud , Jérôme Rony , Jose Dolz , Ismail Ben Ayed , Pablo Piantanida

This work presents a content-based recommender system for machine learning classifier algorithms. Given a new data set, a recommendation of what classifier is likely to perform best is made based on classifier performance over similar known…

Information Retrieval · Computer Science 2017-11-28 Marta Arias , Argimiro Arratia , Ariel Duarte-Lopez

We are assisting at a growing interest in the development of learning architectures with application to digital communication systems. Herein, we consider the detection/decoding problem. We aim at developing an optimal neural architecture…

Information Theory · Computer Science 2022-09-02 Andrea M. Tonello , Nunzio A. Letizia

Federated Learning (FL) has attracted considerable interest due to growing privacy concerns and regulations like the General Data Protection Regulation (GDPR), which stresses the importance of privacy-preserving and fair machine learning…

Machine Learning · Computer Science 2025-04-17 Sarang S , Harsh D. Chothani , Qilei Li , Ahmed M. Abdelmoniem , Arnab K. Paul

The problem of fast point-to-point MIMO channel mutual information estimation is addressed, in the situation where the receiver undergoes unknown colored interference, whereas the channel with the transmitter is perfectly known. The…

Probability · Mathematics 2012-03-14 Abla Kammoun , Romain Couillet , Jamal Najim , Merouane Debbah

We introduce Transductive Infomation Maximization (TIM) for few-shot learning. Our method maximizes the mutual information between the query features and their label predictions for a given few-shot task, in conjunction with a supervision…

Machine Learning · Computer Science 2020-10-26 Malik Boudiaf , Ziko Imtiaz Masud , Jérôme Rony , José Dolz , Pablo Piantanida , Ismail Ben Ayed

Mutual Information (MI) has been widely used as a loss regularizer for training neural networks. This has been particularly effective when learn disentangled or compressed representations of high dimensional data. However, differential…

Machine Learning · Computer Science 2022-06-22 Georg Pichler , Pierre Colombo , Malik Boudiaf , Günther Koliander , Pablo Piantanida

We unify f-divergences, Bregman divergences, surrogate loss bounds (regret bounds), proper scoring rules, matching losses, cost curves, ROC-curves and information. We do this by systematically studying integral and variational…

Machine Learning · Statistics 2009-01-06 Mark D. Reid , Robert C. Williamson