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We solve the analysis sparse coding problem considering a combination of convex and non-convex sparsity promoting penalties. The multi-penalty formulation results in an iterative algorithm involving proximal-averaging. We then unfold the…

The classic algorithms of Needleman--Wunsch and Smith--Waterman find a maximum a posteriori probability alignment for a pair hidden Markov model (PHMM). In order to process large genomes that have undergone complex genome rearrangements,…

Genomics · Quantitative Biology 2015-06-26 Colin Dewey , Peter Huggins , Kevin Woods , Bernd Sturmfels , Lior Pachter

Two algorithms for solving misalignment issues in penalized PET/CT reconstruction using anatomical priors are proposed. Both approaches are based on a recently published joint motion estimation and image reconstruction method. The first…

Protein language models often take into consideration the alignment between a protein sequence and its textual description. However, they do not take structural information into consideration. Traditional methods treat sequence and…

Machine Learning · Computer Science 2026-03-10 Aditya Ranganath , Hasin Us Sami , Kowshik Thopalli , Bhavya Kailkhura , Wesam Sakla

The Basic Local Alignment Search Tool (BLAST) is currently the most popular method for searching databases of biological sequences. BLAST compares sequences via similarity defined by a weighted edit distance, which results in it being…

Biomolecules · Quantitative Biology 2020-10-29 Amir Shanehsazzadeh , David Belanger , David Dohan

Pairwise alignment of DNA sequencing data is a ubiquitous task in bioinformatics and typically represents a heavy computational burden. State-of-the-art approaches to speed up this task use hashing to identify short segments (k-mers) that…

Machine Learning · Computer Science 2021-02-16 Govinda M. Kamath , Tavor Z. Baharav , Ilan Shomorony

Algorithms that detect covariance between pairs of columns in multiple sequence alignments are commonly employed to predict functionally important residues and structural contacts. However, the assumption that co-variance only occurs…

Quantitative Methods · Quantitative Biology 2014-01-07 Kyle E. Kreth , Anthony A. Fodor

In genomics, pattern matching against a sequence of nucleotides plays a pivotal role for DNA sequence alignment and comparing genomes. This helps tackling some diseases, such as cancer in humans. The complexity of searching biological…

Quantitative Methods · Quantitative Biology 2017-10-04 Fereshte Mozafari , Hossein Babashah , Somayyeh Koohi , Zahra Kavehvash

Changepoint detection identifies significant shifts in data sequences, making it important in areas like finance, genetics, and healthcare. The Optimal Partitioning algorithms efficiently detect these changes, using a penalty parameter to…

Machine Learning · Computer Science 2025-10-07 Tung L Nguyen , Toby Hocking

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

Alignment of large genomic sequences is a fundamental task in computational genome analysis. Most methods for genomic alignment use high-scoring local alignments as {\em anchor points} to reduce the search space of the alignment procedure.…

Genomics · Quantitative Biology 2017-03-28 Chris-Andre Leimeister , Thomas Dencker , Burkhard Morgenstern

Modern neural networks have greatly improved performance across speech recognition benchmarks. However, gains are often driven by frequent words with limited semantic weight, which can obscure meaningful differences in word error rate, the…

Computation and Language · Computer Science 2026-04-21 Lasse Borgholt , Jakob Havtorn , Christian Igel , Lars Maaløe , Zheng-Hua Tan

Levenshtein distance is a commonly used edit distance metric, typically applied in language processing, and to a lesser extent, in molecular biology analysis. Biological nucleic acid sequences are often embedded in longer sequences and are…

Quantitative Methods · Quantitative Biology 2023-10-20 Robert Logan , Amy W. Wehe , Dori C. Woods , Jon Tilly , Konstantin Khrapko

In this paper we report on an algorithm for aligning multiple protein structures. The algorithm has been tested on a variety of inputs and it performs well in comparison to well-known algorithms for this problem.

Computational Engineering, Finance, and Science · Computer Science 2014-12-30 Kaushik Roy , Satish Ch. Panigrahi , Asish Mukhopadhyay

We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

In this work we present a system based on a Deep Learning approach, by using a Convolutional Neural Network, capable of classifying protein chains of amino acids based on the protein description contained in the Protein Data Bank. Each…

Machine Learning · Computer Science 2021-11-04 Damiano Perri , Marco Simonetti , Andrea Lombardi , Noelia Faginas-Lago , Osvaldo Gervasi

Graph matching, also known as network alignment, refers to finding a bijection between the vertex sets of two given graphs so as to maximally align their edges. This fundamental computational problem arises frequently in multiple fields…

Data Structures and Algorithms · Computer Science 2021-08-10 Cheng Mao , Mark Rudelson , Konstantin Tikhomirov

We present new algorithms for the problem of multiple string matching of gapped patterns, where a gapped pattern is a sequence of strings such that there is a gap of fixed length between each two consecutive strings. The problem has…

Data Structures and Algorithms · Computer Science 2014-07-08 Emanuele Giaquinta , Kimmo Fredriksson , Szymon Grabowski , Alexandru I. Tomescu , Esko Ukkonen

Motivation: Drug discovery demands rapid quantification of compound-protein interaction (CPI). However, there is a lack of methods that can predict compound-protein affinity from sequences alone with high applicability, accuracy, and…

Biomolecules · Quantitative Biology 2020-12-17 Mostafa Karimi , Di Wu , Zhangyang Wang , Yang Shen

We study pattern matching problems on two major representations of uncertain sequences used in molecular biology: weighted sequences (also known as position weight matrices, PWM) and profiles (i.e., scoring matrices). In the simple version,…

Data Structures and Algorithms · Computer Science 2016-07-12 Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski