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We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

Mutual information (MI) is a promising candidate measure for the assessment and optimization of localization systems, as it captures nonlinear dependencies between random variables. However, the high cost of computing MI, especially for…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Sven Hinderer , Manuel Buchfink , Bin Yang

Advanced channel decoders rely on soft-decision decoder inputs for which mutual information (MI) is the natural figure of merit. In this paper, we analyze an optical fiber system by evaluating MI as the maximum achievable rate of…

Information Theory · Computer Science 2015-11-20 Tobias Fehenberger , Norbert Hanik

The Maximum Mutual Information (MMI) criterion is different from the Least Error Rate (LER) criterion. It can reduce failing to report small probability events. This paper introduces the Channels Matching (CM) algorithm for the MMI…

Machine Learning · Computer Science 2019-01-30 Chenguang Lu

Channel capacity plays a crucial role in the development of modern communication systems as it represents the maximum rate at which information can be reliably transmitted over a communication channel. Nevertheless, for the majority of…

Information Theory · Computer Science 2021-07-08 Nunzio A. Letizia , Andrea M. Tonello

Multimodal representation learning poses significant challenges in capturing informative and distinct features from multiple modalities. Existing methods often struggle to exploit the unique characteristics of each modality due to unified…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Cam-Van Thi Nguyen , Ngoc-Hoa Thi Nguyen , Duc-Trong Le , Quang-Thuy Ha

Several methods of estimating the mutual information of random variables have been developed in recent years. They can prove valuable for novel approaches to learning statistically independent features. In this paper, we use one of these…

Machine Learning · Computer Science 2019-04-23 Hlynur Davíð Hlynsson , Laurenz Wiskott

Many recent methods for unsupervised or self-supervised representation learning train feature extractors by maximizing an estimate of the mutual information (MI) between different views of the data. This comes with several immediate…

Machine Learning · Computer Science 2020-01-24 Michael Tschannen , Josip Djolonga , Paul K. Rubenstein , Sylvain Gelly , Mario Lucic

This paper investigates the linear precoder design that maximizes the average mutual information of multiple-input multiple-output channels with finite-alphabet inputs and statistical channel state information known at the transmitter. This…

Information Theory · Computer Science 2011-09-07 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

Estimating Mutual Information (MI), a key measure of dependence of random quantities without specific modelling assumptions, is a challenging problem in high dimensions. We propose a novel mutual information estimator based on parametrizing…

Machine Learning · Statistics 2025-10-24 Haoran Ni , Martin Lotz

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger

Estimation of information theoretic quantities such as mutual information and its conditional variant has drawn interest in recent times owing to their multifaceted applications. Newly proposed neural estimators for these quantities have…

Machine Learning · Computer Science 2020-07-24 Arnab Kumar Mondal , Arnab Bhattacharya , Sudipto Mukherjee , Prathosh AP , Sreeram Kannan , Himanshu Asnani

The key challenge in unaligned multimodal language sequences lies in effectively integrating information from various modalities to obtain a refined multimodal joint representation. Recently, the disentangle and fuse methods have achieved…

Computation and Language · Computer Science 2024-09-20 Fan Qian , Jiqing Han , Jianchen Li , Yongjun He , Tieran Zheng , Guibin Zheng

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

The use of Mutual Information (MI) as a measure to evaluate the efficiency of cryptosystems has an extensive history. However, estimating MI between unknown random variables in a high-dimensional space is challenging. Recent advances in…

We propose a novel deep neural network architecture to integrate imaging and genetics data, as guided by diagnosis, that provides interpretable biomarkers. Our model consists of an encoder, a decoder and a classifier. The encoder learns a…

Many applications in image-guided surgery and therapy require fast and reliable non-linear, multi-modal image registration. Recently proposed unsupervised deep learning-based registration methods have demonstrated superior performance…

Image and Video Processing · Electrical Eng. & Systems 2022-10-07 Gerard Snaauw , Michele Sasdelli , Gabriel Maicas , Stephan Lau , Johan Verjans , Mark Jenkinson , Gustavo Carneiro

Extracting a small subset of crucial rationales from the full input is a key problem in explainability research. The most widely used fundamental criterion for rationale extraction is the maximum mutual information (MMI) criterion. In this…

Artificial Intelligence · Computer Science 2025-03-11 Wei Liu , Zhiying Deng , Zhongyu Niu , Jun Wang , Haozhao Wang , Zhigang Zeng , Ruixuan Li

Mutual information (MI) is one of the most general ways to measure relationships between random variables, but estimating this quantity for complex systems is challenging. Denoising diffusion models have recently set a new bar for density…

Machine Learning · Computer Science 2025-11-20 Longxuan Yu , Xing Shi , Xianghao Kong , Tong Jia , Greg Ver Steeg

Maximum-a-posteriori (MAP) decoding is the most widely used decoding strategy for neural machine translation (NMT) models. The underlying assumption is that model probability correlates well with human judgment, with better translations…

Computation and Language · Computer Science 2024-07-12 Christian Tomani , David Vilar , Markus Freitag , Colin Cherry , Subhajit Naskar , Mara Finkelstein , Xavier Garcia , Daniel Cremers