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Mutual information (MI) is a fundamental measure of statistical dependence between two variables, yet accurate estimation from finite data remains notoriously difficult. No estimator is universally reliable, and common approaches fail in…

Data Analysis, Statistics and Probability · Physics 2025-10-02 Eslam Abdelaleem , K. Michael Martini , Ilya Nemenman

Understanding protein-protein interactions is central to our understanding of almost all complex biological processes. Computational tools exploiting rapidly growing genomic databases to characterize protein-protein interactions are…

Quantitative Methods · Quantitative Biology 2016-10-28 Thomas Gueudré , Carlo Baldassi , Marco Zamparo , Martin Weigt , Andrea Pagnani

Mutual Information (MI) is a fundamental metric for quantifying dependency between two random variables. When we can access only the samples, but not the underlying distribution functions, we can evaluate MI using sample-based estimators.…

Machine Learning · Statistics 2024-10-16 Kyungeun Lee , Wonjong Rhee

This paper presents a novel approach to machine learning algorithm design based on information theory, specifically mutual information (MI). We propose a framework for learning and representing functional relationships in data using…

Machine Learning · Computer Science 2024-09-24 Jeremy Nixon

A variety of methods have been proposed for structure similarity calculation, which are called structure alignment or superposition. One major shortcoming in current structure alignment algorithms is in their inherent design, which is based…

Quantitative Methods · Quantitative Biology 2013-07-31 Xuefeng Cui , Shuai Cheng Li , Dongbo Bu , Ming Li

Estimating mutual information (MI) is a fundamental yet challenging task in data science and machine learning. This work proposes a new estimator for mutual information. Our main discovery is that a preliminary estimate of the data…

Machine Learning · Computer Science 2024-08-20 Yanzhi Chen , Zijing Ou , Adrian Weller , Yingzhen Li

Interaction between proteins is a fundamental mechanism that underlies virtually all biological processes. Many important interactions are conserved across a large variety of species. The need to maintain interaction leads to a high degree…

Quantitative Methods · Quantitative Biology 2016-02-25 Christoph Feinauer , Hendrik Szurmant , Martin Weigt , Andrea Pagnani

Protein function does not solely depend on structure but often relies on dynamical transitions between distinct conformations. Despite this fact, our ability to characterize or predict protein dynamics is substantially less developed…

Statistical Mechanics · Physics 2026-05-08 Michael A. Sauer , Souvik Mondal , Brandon Neff , Sthitadhi Maiti , Matthias Heyden

Several methods are available for the detection of covarying positions from a multiple sequence alignment (MSA). If the MSA contains a large number of sequences, information about the proximities between residues derived from covariation…

Quantitative Methods · Quantitative Biology 2014-04-29 Greg W. Clark , Sharon H. Ackerman , Elisabeth R. Tillier , Domenico L. Gatti

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

From a machine learning point of view, identifying a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this…

Machine Learning · Computer Science 2017-05-23 Pietro Cassara , Alessandro Rozza , Mirco Nanni

Computational protein-protein interaction (PPI) prediction techniques can contribute greatly in reducing time, cost and false-positive interactions compared to experimental approaches. Sequence is one of the key and primary information of…

Machine Learning · Computer Science 2022-03-29 Soumyadeep Debnath , Ayatullah Faruk Mollah

Multiple sequence alignment (MSA) data play a crucial role in the study of protein mutations, with contact prediction being a notable application. Existing methods are often model-based or algorithmic and typically do not incorporate…

Methodology · Statistics 2026-01-23 Fan Yang , Zhao Ren , Wen Zhou , Kejue Jia , Robert Jernigan

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

PPI network alignment aims to find topological and functional similarities between networks of different species. Several alignment approaches have been proposed. Each of these approaches relies on a different alignment method and uses…

Quantitative Methods · Quantitative Biology 2019-11-25 Sarra Ghanjeti

Estimating mutual information from observed samples is a basic primitive, useful in several machine learning tasks including correlation mining, information bottleneck clustering, learning a Chow-Liu tree, and conditional independence…

Information Theory · Computer Science 2018-10-11 Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Identification and alignment of three-dimensional folding of proteins may yield useful information about relationships too remote to be detected by conventional methods, such as sequence comparison, and may potentially lead to prediction of…

Quantitative Methods · Quantitative Biology 2017-01-10 Barış Ekim

In this paper, we consider the statistical analysis of a protein interaction network. We propose a Bayesian model that uses a hierarchy of probabilistic assumptions about the way proteins interact with one another in order to: (i) identify…

Molecular Networks · Quantitative Biology 2007-11-15 Edoardo M Airoldi , David M Blei , Stephen E Fienberg , Eric P Xing

Estimating mutual information (MI) is a fundamental task in data science and machine learning. Existing estimators mainly rely on either highly flexible models (e.g., neural networks), which require large amounts of data, or overly…

Machine Learning · Computer Science 2025-10-27 Yanzhi Chen , Zijing Ou , Adrian Weller , Michael U. Gutmann