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State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

This paper aims to present a new re-configuration sequencing method for difference of read lengths that may take place as input data in which is crucial drawbacks lay impact on DNA sequencing methods.

Hardware Architecture · Computer Science 2020-09-22 Mahdi Taheri , Hamed Zandevakili , Ali Mahani

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

Circular permutation connects the N and C termini of a protein and concurrently cleaves elsewhere in the chain, providing an important mechanism for generating novel protein fold and functions. However, their in genomes is unknown because…

Biomolecules · Quantitative Biology 2016-11-17 T. Andrew Binkowski , Bhaskar DasGupta , Jie Liang

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

Stochastic approximation techniques play an important role in solving many problems encountered in machine learning or adaptive signal processing. In these contexts, the statistics of the data are often unknown a priori or their direct…

Optimization and Control · Mathematics 2016-09-27 Chouzenoux Emilie , Pesquet Jean-Christophe

Machine learning (ML) models, such as SVM, for tasks like classification and clustering of sequences, require a definition of distance/similarity between pairs of sequences. Several methods have been proposed to compute the similarity…

Machine Learning · Computer Science 2022-09-13 Sarwan Ali , Bikram Sahoo , Muhammad Asad Khan , Alexander Zelikovsky , Imdad Ullah Khan , Murray Patterson

Sequence-based protein homology detection has been extensively studied and so far the most sensitive method is based upon comparison of protein sequence profiles, which are derived from multiple sequence alignment (MSA) of sequence homologs…

Quantitative Methods · Quantitative Biology 2015-06-18 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

Various methods have been developed to analyze the association between organisms and their genomic sequences. Among them, sequence alignment is the most frequently used for comparative analysis of biological genomes. However, the…

Quantitative Methods · Quantitative Biology 2020-10-27 Yong Joon Song , Dong Jin Ji , Hye In Seo , Gyu Bum Han , Dong Ho Cho

This paper introduces a novel framework to learn data association for multi-object tracking in a self-supervised manner. Fully-supervised learning methods are known to achieve excellent tracking performances, but acquiring identity-level…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Shuai Li , Michael Burke , Subramanian Ramamoorthy , Juergen Gall

Recent semi-dense image matching methods have achieved remarkable success, but two long-standing issues still impair their performance. At the coarse stage, the over-exclusion issue of their mutual nearest neighbor (MNN) matching layer…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Ke Jin , Jiming Chen , Qi Ye

Prediction error and maximum likelihood methods are powerful tools for identifying linear dynamical systems and, in particular, enable the joint estimation of model parameters and the Kalman filter used for state estimation. A key…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Léo Simpson , Moritz Diehl

The analysis of correlations of amino acid occurrences in globular proteins has led to the development of statistical tools that can identify native contacts -- portions of the chains that come to close distance in folded structural…

Biomolecules · Quantitative Biology 2014-07-28 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego Ferreiro

The gapped local alignment score of two random sequences follows a Gumbel distribution. If computers could estimate the parameters of the Gumbel distribution within one second, the use of arbitrary alignment scoring schemes could increase…

Statistics Theory · Mathematics 2009-09-04 Yonil Park , Sergey Sheetlin , John L. Spouge

We develop a skew-adaptive extension of split conformal prediction for regression. The method starts from an asymmetric interval family centered at a point prediction and uses the gauge approach to deduce the conformity score induced by…

Machine Learning · Statistics 2026-05-18 Paulo C. Marques F. , Helton Graziadei

We propose a new alignment-free algorithm by constructing a compact vector representation on $\mathbb{R}^{24}$ of a DNA sequence of arbitrary length. Each component of this vector is obtained from a representative sequence, the elements of…

Data Structures and Algorithms · Computer Science 2024-09-27 Probir Mondal , Pratyay Banerjee , Debranjan Pal , Krishnendu Basuli

Protein similarity searches are a routine job for molecular biologists where a query sequence of amino acids needs to be compared and ranked against an ever-growing database of proteins. All available algorithms in this field can be grouped…

Computational Engineering, Finance, and Science · Computer Science 2015-08-27 Akash Nag , Sunil Karforma

Frameshift mutations in protein-coding DNA sequences produce a drastic change in the resulting protein sequence, which prevents classic protein alignment methods from revealing the proteins' common origin. Moreover, when a large number of…

Quantitative Methods · Quantitative Biology 2011-01-18 Marta L. Gîrdea , Laurent Noé , Gregory Kucherov

Single-cell omics enable the profiles of cells, which contain large numbers of biological features, to be quantified. Cluster analysis, a dimensionality reduction process, is used to reduce the dimensions of the data to make it…

Genomics · Quantitative Biology 2024-06-06 Okezue Bell , Arthur Lee , Elizabeth Engle

We introduce an algorithm for the alignment of protein- coding sequences accounting for frameshifts. The main specificity of this algorithm as compared to previously published protein-coding sequence alignment methods is the introduction of…

Data Structures and Algorithms · Computer Science 2015-08-21 François Bélanger , Aïda Ouangraoua