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We present a new similarity measure based on information theoretic measures which is superior than Normalized Compression Distance for clustering problems and inherits the useful properties of conditional Kolmogorov complexity. We show that…

Machine Learning · Statistics 2014-10-22 Andrey Bogomolov , Bruno Lepri , Fabio Pianesi

Comparing the ranking of candidates by different voters is an important topic in social and information science with a high relevance from the point of view of practical applications. In general, ties and pairs of incomparable candidates…

Applications · Statistics 2016-01-25 Gergely Tibély , Péter Pollner , Gergely Palla

Manifold alignment is a type of data fusion technique that creates a shared low-dimensional representation of data collected from multiple domains, enabling cross-domain learning and improved performance in downstream tasks. This paper…

Machine Learning · Computer Science 2024-11-26 Jake S. Rhodes , Adam G. Rustad

Exploration tasks are embedded in many robotics applications, such as search and rescue and space exploration. Information-based exploration algorithms aim to find the most informative trajectories by maximizing an information-theoretic…

Robotics · Computer Science 2019-05-08 Zhengdong Zhang , Trevor Henderson , Sertac Karaman , Vivienne Sze

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

Motivation: Spliced alignment refers to the alignment of messenger RNA (mRNA) or protein sequences to eukaryotic genomes. It plays a critical role in gene annotation and the study of gene functions. Accurate spliced alignment demands…

Genomics · Quantitative Biology 2025-09-23 Siying Yang , Neng Huang , Heng Li

The Multiple Sequence Alignment (MSA) is a computational abstraction that represents a partial summary either of indel history, or of structural similarity. Taking the former view (indel history), it is possible to use formal automata…

Populations and Evolution · Quantitative Biology 2015-06-04 Oscar Westesson , Gerton Lunter , Benedict Paten , Ian Holmes

We describe an new algorithm for visualizing an alignment of biological sequences according to a probabilistic model of evolution. The resulting data array is readily interpreted by the human eye and amenable to digital image techniques. We…

Populations and Evolution · Quantitative Biology 2007-05-23 Lawren Smithline

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

Machine Learning · Statistics 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

Sequence alignment supports numerous tasks in bioinformatics, natural language processing, pattern recognition, social sciences, and others fields. While the alignment of two sequences may be performed swiftly in many applications, the…

Data Structures and Algorithms · Computer Science 2021-12-06 Eloi Araujo , Luiz Rozante , Diego P. Rubert , Fabio V. Martinez

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

Machine Learning · Computer Science 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

Mutual Information (MI) and Conditional Mutual Information (CMI) are multi-purpose tools from information theory that are able to naturally measure the statistical dependencies between random variables, thus they are usually of central…

Machine Learning · Computer Science 2022-11-22 Bao Duong , Thin Nguyen

Inferring the phylogenetic relationships among a sample of organisms is a fundamental problem in modern biology. While distance-based hierarchical clustering algorithms achieved early success on this task, these have been supplanted by…

Machine Learning · Computer Science 2025-12-03 Benjamin K. Rosenzweig , Matthew W. Hahn

The concepts of conditional mutual information (CMI) and normalized conditional mutual information (NCMI) are introduced to measure the concentration and separation performance of a classification deep neural network (DNN) in the output…

Machine Learning · Computer Science 2023-09-19 En-Hui Yang , Shayan Mohajer Hamidi , Linfeng Ye , Renhao Tan , Beverly Yang

Generalization capabilities of learning-based medical image segmentation across domains are currently limited by the performance degradation caused by the domain shift, particularly for ultrasound (US) imaging. The quality of US images…

Image and Video Processing · Electrical Eng. & Systems 2024-02-07 Yuan Bi , Zhongliang Jiang , Ricarda Clarenbach , Reza Ghotbi , Angelos Karlas , Nassir Navab

Deep metrics have been shown effective as similarity measures in multi-modal image registration; however, the metrics are currently constructed from aligned image pairs in the training data. In this paper, we propose a strategy for learning…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Alireza Sedghi , Jie Luo , Alireza Mehrtash , Steve Pieper , Clare M. Tempany , Tina Kapur , Parvin Mousavi , William M. Wells

It is not obvious how to extend Shannon's original information entropy to higher dimensions, and many different approaches have been tried. We replace the English text symbol sequence originally used to illustrate the theory by a discrete,…

Information Theory · Computer Science 2016-09-06 Kieran G. Larkin

In this paper we introduce and study three new measures for efficient discriminative comparison of phylogenetic trees. The NNI navigation dissimilarity $d_{nav}$ counts the steps along a "combing" of the Nearest Neighbor Interchange (NNI)…

Populations and Evolution · Quantitative Biology 2015-10-21 Omur Arslan , Dan P. Guralnik , Daniel E. Koditschek

Motivation: High-throughput experimental techniques have been producing more and more protein-protein interaction (PPI) data. PPI network alignment greatly benefits the understanding of evolutionary relationship among species, helps…

Data Structures and Algorithms · Computer Science 2016-04-13 Somaye Hashemifar , Qixing Huang , Jinbo XU

Metagenomics characterizes the taxonomic diversity of microbial communities by sequencing DNA directly from an environmental sample. One of the main challenges in metagenomics data analysis is the binning step, where each sequenced read is…

Quantitative Methods · Quantitative Biology 2015-05-27 Kévin Vervier , Pierre Mahé , Maud Tournoud , Jean-Baptiste Veyrieras , Jean-Philippe Vert