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Alignments, i.e., position-wise comparisons of two or more strings or ordered lists are of utmost practical importance in computational biology and a host of other fields, including historical linguistics and emerging areas of research in…

Combinatorics · Mathematics 2018-10-19 Sarah J. Berkemer , Christian Höner zu Siederdissen , Peter F. Stadler

Predicting protein secondary structure using lattice model is one of the most studied computational problem in bioinformatics. Here secondary structure or three dimensional structure of protein is predicted from its amino acid sequence.…

Computational Engineering, Finance, and Science · Computer Science 2014-07-18 Dipan Lal Shaw , M. Sohel Rahman , A. S. M. Sohidull Islam , Shuvasish Karmaker

We define a distance metric between partitions of a graph using machinery from optimal transport. Our metric is built from a linear assignment problem that matches partition components, with assignment cost proportional to transport…

Optimization and Control · Mathematics 2019-10-23 Tara Abrishami , Nestor Guillen , Parker Rule , Zachary Schutzman , Justin Solomon , Thomas Weighill , Si Wu

Predicting protein interactions is one of the more interesting challenges of the post-genomic era. Many algorithms address this problem as a binary classification problem: given two proteins represented as two vectors of features, predict…

Molecular Networks · Quantitative Biology 2011-11-01 Ossnat Bar-Shira , Gal Chechik

In cognitive neuroscience research, Representational Dissimilarity Matrices (RDMs) are often incomplete because pairwise similarity judgments cannot always be exhaustively collected as the number of pairs rapidly increases with the number…

Neurons and Cognition · Quantitative Biology 2025-06-04 Denise Moerel , Tijl Grootswagers

In this work we study the interleaving distance between merge trees from a combinatorial point of view. We use a particular type of matching between trees to obtain a novel formulation of the distance. With such formulation, we tackle the…

Combinatorics · Mathematics 2024-11-11 Matteo Pegoraro

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

One of the most challenging and long-standing problems in computational biology is the prediction of three-dimensional protein structure from amino acid sequence. A promising approach to infer spatial proximity between residues is the study…

Biomolecules · Quantitative Biology 2014-04-28 Massimo Andreatta , Santiago Laplagne , Shuai Cheng Li , Stephen Smale

This article seeks to contribute to a nuanced understanding of the integration of Design Structure Matrix (DSM) and genetic algorithms in the context of Complex Systems modelling described within Model-Based System Engineering approach. By…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Sebastien Dube , Mirna Ojeda , Jean-Marie Gauthier

The choice of structural resolution is a fundamental aspect of protein modelling, determining the balance between descriptive power and interpretability. Although atomistic simulations provide maximal detail, much of this information is…

Biomolecules · Quantitative Biology 2025-10-23 Margherita Mele , Raffaele Fiorentini , Thomas Tarenzi , Giovanni Mattiotti , Raffaello Potestio

Finding an optimal assignment between two sets of objects is a fundamental problem arising in many applications, including the matching of `bag-of-words' representations in natural language processing and computer vision. Solving the…

Machine Learning · Computer Science 2019-09-12 Nils M. Kriege , Pierre-Louis Giscard , Franka Bause , Richard C. Wilson

Machine learning and the use of neural networks has increased precipitously over the past few years primarily due to the ever-increasing accessibility to data and the growth of computation power. It has become increasingly easy to harness…

Machine Learning · Computer Science 2020-08-05 Aaron Hein , Casey Cole , Homayoun Valafar

An important problem in shape analysis is to match configurations of points in space filtering out some geometrical transformation. In this paper we introduce hierarchical models for such tasks, in which the points in the configurations are…

Statistics Theory · Mathematics 2010-03-23 Peter J. Green , Kanti Mardia

We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it,…

Machine Learning · Statistics 2019-07-19 Da Tang , Tony Jebara

Protein language models (pLMs) pre-trained on vast protein sequence databases excel at various downstream tasks but often lack the structural knowledge essential for some biological applications. To address this, we introduce a method to…

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

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

Graph alignment aims at finding the vertex correspondence between two correlated graphs, a task that frequently occurs in graph mining applications such as social network analysis. Attributed graph alignment is a variant of graph alignment,…

Data Structures and Algorithms · Computer Science 2024-03-13 Ziao Wang , Ning Zhang , Weina Wang , Lele Wang

Protein threading is a method of computational protein structure prediction used for protein sequences which have the same fold as proteins of known structures but do not have homologous proteins with known structure. The most popular…

Data Structures and Algorithms · Computer Science 2013-10-17 Wajeb Gharibi , Marwah Mohammed Bakri

Robotics have recently contributed to cosmological spectroscopy to automatically obtain the map of the observable universe using robotic fiber positioners. For this purpose, an assignment algorithm is required to assign each robotic fiber…

Instrumentation and Methods for Astrophysics · Physics 2020-05-25 Matin Macktoobian , Denis Gillet , Jean-Paul Kneib