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Motivated by the problem of dealing with incomplete or imprecise acquisition of data in computer vision and computer graphics, we extend results concerning the stability of persistent homology with respect to function perturbations to…

Algebraic Topology · Mathematics 2010-05-11 Patrizio Frosini , Claudia Landi

The observed correlations between pairs of homologous protein sequences are typically explained in terms of a Markovian dynamic of amino acid substitution. This model assumes that every location on the protein sequence has the same…

Biomolecules · Quantitative Biology 2007-05-23 Gavin E. Crooks , Steven E. Brenner

In the course of evolution, proteins undergo important changes in their amino acid sequences, while their three-dimensional folded structure and their biological function remain remarkably conserved. Thanks to modern sequencing techniques,…

Biomolecules · Quantitative Biology 2019-10-07 Simona Cocco , Christoph Feinauer , Matteo Figliuzzi , Remi Monasson , Martin Weigt

Protein homology search underlies function annotation, structure prediction, and evolutionary analysis, but remains challenging in the "twilight zone," where global sequence similarity is weak and classical alignment methods lose…

Machine Learning · Computer Science 2026-05-29 Gabrielle Cohn , Rohan Gumaste , Minh Hoang , Vihan Lakshman

Sorting by reversals is an important problem in inferring the evolutionary relationship between two genomes. The problem of sorting unsigned permutation has been proven to be NP-hard. The best guaranteed error bounded is the 3/2-…

Artificial Intelligence · Computer Science 2007-05-23 Andy AuYeung , Ajith Abraham

Proteins are responsible for the most diverse set of functions in biology. The ability to extract information from protein sequences and to predict the effects of mutations is extremely valuable in many domains of biology and medicine.…

Quantitative Methods · Quantitative Biology 2018-01-04 Sam Sinai , Eric Kelsic , George M. Church , Martin A. Nowak

Protein language models are a powerful tool for learning protein representations through pre-training on vast protein sequence datasets. However, traditional protein language models lack explicit structural supervision, despite its…

Biomolecules · Quantitative Biology 2024-02-09 Zuobai Zhang , Jiarui Lu , Vijil Chenthamarakshan , Aurélie Lozano , Payel Das , Jian Tang

Proteins are macromolecules that perform essential functions in all living organisms. Designing novel proteins with specific structures and desired functions has been a long-standing challenge in the field of bioengineering. Existing…

Biomolecules · Quantitative Biology 2023-03-03 Chence Shi , Chuanrui Wang , Jiarui Lu , Bozitao Zhong , Jian Tang

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

In the era of high throughput DNA sequencing (HTS) technologies, calculating the edit distance (i.e., the minimum number of substitutions, insertions, and deletions between a pair of sequences) for billions of genomic sequences is the…

Genomics · Quantitative Biology 2017-08-17 Mohammed Alser , Onur Mutlu , Can Alkan

The growing interest for comparing protein internal dynamics owes much to the realization that protein function can be accompanied or assisted by structural fluctuations and conformational changes. Analogously to the case of functional…

Biomolecules · Quantitative Biology 2012-12-19 C. Micheletti

Visual place recognition is a critical task in computer vision, especially for localization and navigation systems. Existing methods often rely on contrastive learning: image descriptors are trained to have small distance for similar images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 María Leyva-Vallina , Nicola Strisciuglio , Nicolai Petkov

Cross-view geo-localization is the problem of estimating the position and orientation (latitude, longitude and azimuth angle) of a camera at ground level given a large-scale database of geo-tagged aerial (e.g., satellite) images. Existing…

Computer Vision and Pattern Recognition · Computer Science 2020-05-11 Yujiao Shi , Xin Yu , Dylan Campbell , Hongdong Li

Proteins are the most important biomolecules for living organisms. The understanding of protein structure, function, dynamics and transport is one of most challenging tasks in biological science. In the present work, persistent homology is,…

Biomolecules · Quantitative Biology 2014-12-10 Kelin Xia , Guo-Wei Wei

Protein structural alignment is an important problem in computational biology. In this paper, we present first successes on provably optimal pairwise alignment of protein inter-residue distance matrices, using the popular Dali scoring…

Quantitative Methods · Quantitative Biology 2011-04-18 Inken Wohlers , Rumen Andonov , Gunnar W. Klau

Motivation: The study of diverse enzyme superfamilies can provide important insight into the relationships between protein sequence, structure and function. It is often challenging, however, to discover these relationships across a large…

Quantitative Methods · Quantitative Biology 2014-08-13 Leonard Apeltsin

Geometric matching is a key step in computer vision tasks. Previous learning-based methods for geometric matching concentrate more on improving alignment quality, while we argue the importance of naturalness issue simultaneously. To deal…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Yifang Xu , Tianli Liao , Jing Chen

Persistent homology captures the evolution of topological features of a model as a parameter changes. The most commonly used summary statistics of persistent homology are the barcode and the persistence diagram. Another summary statistic,…

Methodology · Statistics 2016-04-01 Violeta Kovacev-Nikolic , Peter Bubenik , Dragan Nikolić , Giseon Heo

This article proposes a novel approach to statistical alignment of nucleotide sequences by introducing a context dependent structure on the substitution process in the underlying evolutionary model. We propose to estimate alignments and…

Statistics Theory · Mathematics 2011-07-18 Ana Arribas-Gil , Catherine Matias

Computational methods are needed to differentiate the small fraction of missense mutations that contribute to disease by disrupting protein function from neutral variants. We describe several complementary methods using large-scale homology…

Biomolecules · Quantitative Biology 2013-08-22 Andrew J. Bordner , Barry Zorman