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Related papers: Factorized Mutual Information Maximization

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A maximum likelihood method is used to deal with the combined estimation of multi-measurements of a branching ratio, where each result can be presented as an upper limit. The joint likelihood function is constructed using observed spectra…

Data Analysis, Statistics and Probability · Physics 2015-08-04 Xiao-Xia Liu , Xiao-Rui Lyu , Yong-Sheng Zhu

Influence maximization is a widely used model for information dissemination in social networks. Recent work has employed such interventions across a wide range of social problems, spanning public health, substance abuse, and international…

Computer Science and Game Theory · Computer Science 2019-03-27 Alan Tsang , Bryan Wilder , Eric Rice , Milind Tambe , Yair Zick

We address three outstanding problems in information theory. Problem one is the definition of a non-negative decomposition of the information conveyed by two or more sources about a target variable into the specific contribution of each…

Information Theory · Computer Science 2022-06-28 Cesare Magri

The task of rationalization aims to extract pieces of input text as rationales to justify neural network predictions on text classification tasks. By definition, rationales represent key text pieces used for prediction and thus should have…

Computation and Language · Computer Science 2021-06-02 Yongfeng Huang , Yujun Chen , Yulun Du , Zhilin Yang

Given the joint chances of a pair of random variables one can compute quantities of interest, like the mutual information. The Bayesian treatment of unknown chances involves computing, from a second order prior distribution and the data…

Machine Learning · Computer Science 2007-05-23 Marcus Hutter , Marco Zaffalon

Clustering is a concept used in a huge variety of applications. We review a conceptually very simple algorithm for hierarchical clustering called in the following the {\it mutual information clustering} (MIC) algorithm. It uses mutual…

Quantitative Methods · Quantitative Biology 2008-09-10 Alexander Kraskov , Peter Grassberger

A general method for deriving maximally informative sigmoidal tuning curves for neural systems with small normalized variability is presented. The optimal tuning curve is a nonlinear function of the cumulative distribution function of the…

Neurons and Cognition · Quantitative Biology 2008-08-02 Mark D. McDonnell , Nigel G. Stocks

We provide an information-theoretic framework for studying the generalization properties of machine learning algorithms. Our framework ties together existing approaches, including uniform convergence bounds and recent methods for adaptive…

Machine Learning · Computer Science 2020-06-22 Thomas Steinke , Lydia Zakynthinou

We are interested in learning data-driven representations that can generalize well, even when trained on inherently biased data. In particular, we face the case where some attributes (bias) of the data, if learned by the model, can severely…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Ruggero Ragonesi , Riccardo Volpi , Jacopo Cavazza , Vittorio Murino

Word embeddings provide point representations of words containing useful semantic information. We introduce multimodal word distributions formed from Gaussian mixtures, for multiple word meanings, entailment, and rich uncertainty…

Machine Learning · Statistics 2019-09-10 Ben Athiwaratkun , Andrew Gordon Wilson

We study the problem of estimating a parametric discrete memoryless channel \( p(y \mid x; \boldsymbol{\theta}) \) when the transmitter selects its input distribution \( \pi \) to maximize mutual information under the true parameter \(…

Information Theory · Computer Science 2026-05-13 Hassan Tavakoli , Thinh Nguyen , Bella Bose

In this paper we delve into some important properties of probability distributions of the power type in order to provide some answers to questions recently raised in the literature. More precisely, we focus on the properties of maximizers…

Statistical Mechanics · Physics 2007-05-23 C. Vignat , A. Plastino

We consider an approximation scheme for multivariate information assuming that synergistic information only appearing in higher order joint distributions is suppressed, which may hold in large classes of systems. Our approximation scheme…

Methodology · Statistics 2020-09-03 Masahiro Takimoto

In this paper, we consider several types of information and methods of combination associated with incomplete probabilistic systems. We discriminate between 'a priori' and evidential information. The former one is a description of the whole…

Artificial Intelligence · Computer Science 2013-03-26 Jose E. Cano , Serafin Moral , Juan F. Verdegay-Lopez

Normalized mutual information is widely used as a similarity measure for evaluating the performance of clustering and classification algorithms. In this paper, we argue that results returned by the normalized mutual information are biased…

Social and Information Networks · Computer Science 2025-12-23 Maximilian Jerdee , Alec Kirkley , M. E. J. Newman

Mutual Information (MI) is often used for feature selection when developing classifier models. Estimating the MI for a subset of features is often intractable. We demonstrate, that under the assumptions of conditional independence, MI…

Machine Learning · Computer Science 2017-06-26 Hemanth Venkateswara , Prasanth Lade , Binbin Lin , Jieping Ye , Sethuraman Panchanathan

Multiplex influence maximization (MIM) asks us to identify a set of seed users such as to maximize the expected number of influenced users in a multiplex network. MIM has been one of central research topics, especially in nowadays social…

Social and Information Networks · Computer Science 2024-03-12 Nguyen Do , Tanmoy Chowdhury , Chen Ling , Liang Zhao , My T. Thai

Our understanding of complex systems rests on our ability to characterise how they perform distributed computation and integrate information. Advances in information theory have introduced several quantities to describe complex information…

Information Theory · Computer Science 2026-04-13 Alberto Liardi , George Blackburne , Hardik Rajpal , Fernando E. Rosas , Pedro A. M. Mediano

Multimodal sentiment analysis (MSA) is a fundamental complex research problem due to the heterogeneity gap between different modalities and the ambiguity of human emotional expression. Although there have been many successful attempts to…

Machine Learning · Computer Science 2022-07-05 Jiahao Zheng , Sen Zhang , Xiaoping Wang , Zhigang Zeng

We consider a channel with a binary input X being corrupted by a continuous-valued noise that results in a continuous-valued output Y. An optimal binary quantizer is used to quantize the continuous-valued output Y to the final binary output…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Thuan Nguyen , Thinh Nguyen
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