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In recent years, neural networks have achieved remarkable progress in various fields and have also drawn much attention in applying them on scientific problems. A line of methods involving neural networks for solving partial differential…

Numerical Analysis · Mathematics 2025-05-20 Xianliang Xu , Ye Li , Zhongyi Huang

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Reconstructing ancestral gene orders in a given phylogeny is a classical problem in comparative genomics. Most existing methods compare conserved features in extant genomes in the phylogeny to define potential ancestral gene adjacencies,…

Data Structures and Algorithms · Computer Science 2016-09-27 Nina Luhmann , Manuel Lafond , Annelyse Thévenin , Aïda Ouangraoua , Roland Wittler , Cedric Chauve

Ongoing studies have identified similarities between neural representations in biological networks and in deep artificial neural networks. This has led to renewed interest in developing analogies between the backpropagation learning…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Theodore H. Moskovitz , Ashok Litwin-Kumar , L. F. Abbott

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

Populations and Evolution · Quantitative Biology 2012-12-11 Yun Yu , Luay Nakhleh

We develop a convergence theory for non-monotone approximation schemes for fully nonlinear parabolic partial differential equations. Modern computational methods such as kernel-based collocation, spectral methods, physics-informed neural…

Numerical Analysis · Mathematics 2026-05-08 Yumiharu Nakano

Sequence alignment is common nowadays as it is used in many fields to determine how closely two sequences are related and at times to see how little they differ. In computational biology / Bioinformatics, there are many algorithms developed…

Information Theory · Computer Science 2023-05-02 Bharath Reddy , Richard Fields

Unstructured neural network pruning algorithms have achieved impressive compression rates. However, the resulting - typically irregular - sparse matrices hamper efficient hardware implementations, leading to additional memory usage and…

In this paper we consider the problem of computing an mRNA sequence of maximal similarity for a given mRNA of secondary structure constraints, introduced by Backofen et al. in [BNS02] denoted as the MRSO problem. The problem is known to be…

Data Structures and Algorithms · Computer Science 2007-05-23 Frank Gurski

In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great demand of parallel computing in order to solve this large-scale…

Numerical Analysis · Mathematics 2021-02-05 Huibin Chang , Roland Glowinski , Stefano Marchesini , Xue-cheng Tai , Yang Wang , Tieyong Zeng

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

RNA secondary structures prediction is one of the main issues in bioinformatics. It seeks to elucidate structural conserved regions within a set of RNA sequences. Unfortunately, finding an accurate conserved structure is a very hard task to…

Data Structures and Algorithms · Computer Science 2013-02-07 Abdesslem Layeb , Amira Boudra , Wissem Korichi , Salim Chikhi

High-dimensional biomedical studies require models that are simultaneously accurate, sparse, and interpretable, yet exact best subset selection for generalized linear models is computationally intractable. We develop a scalable method that…

Methodology · Statistics 2026-03-24 Anant Mathur , Benoit Liquet , Samuel Muller , Sarat Moka

A variety of methods have been proposed for structure similarity calculation, which are called structure alignment or superposition. One major shortcoming in current structure alignment algorithms is in their inherent design, which is based…

Quantitative Methods · Quantitative Biology 2013-07-31 Xuefeng Cui , Shuai Cheng Li , Dongbo Bu , Ming Li

The conditions of the chromosomes inside the nucleus in the Rabl configuration have been modelled as self-avoiding polymer chains under restraining conditions. To ensure that the chromosomes remain stretched out and lined up, we fixed their…

Subcellular Processes · Quantitative Biology 2007-05-23 S. Ritter , J. Odenheimer , D. W. Heermann , F. Bantignies , C. Grimaud , G. Cavalli

Motivation Protein fold recognition is an important problem in structural bioinformatics. Almost all traditional fold recognition methods use sequence (homology) comparison to indirectly predict the fold of a tar get protein based on the…

Machine Learning · Computer Science 2017-06-06 Jie Hou , Badri Adhikari , Jianlin Cheng

The problems of large-scale multiple testing are often encountered in modern scientific researches. Conventional multiple testing procedures usually suffer considerable loss of testing efficiency due to the lack of consideration of…

Methodology · Statistics 2022-12-21 Pengfei Wang , Zhaofeng Tian

High-resolution simulations of particle-based kinetic plasma models typically require a high number of particles and thus often become computationally intractable. This is exacerbated in multi-query simulations, where the problem depends on…

Numerical Analysis · Mathematics 2023-07-10 Jan S. Hesthaven , Cecilia Pagliantini , Nicolò Ripamonti

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

The LASSO-Patternsearch algorithm is proposed to efficiently identify patterns of multiple dichotomous risk factors for outcomes of interest in demographic and genomic studies. The patterns considered are those that arise naturally from the…

Statistics Theory · Mathematics 2008-03-07 Weiliang Shi , Grace Wahba , Stephen Wright , Kristine Lee , Ronald Klein , Barbara Klein