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Motivated by the randomized generation of slowly synchronizing automata, we study automata made of permutation letters and a merging letter of rank $ n\!-\!1 $. We present a constructive randomized procedure to generate synchronizing…

Formal Languages and Automata Theory · Computer Science 2018-06-27 Costanza Catalano , Raphaël M. Jungers

Recent works have proven the effectiveness of k-nearest-neighbor machine translation(a.k.a kNN-MT) approaches to produce remarkable improvement in cross-domain translations. However, these models suffer from heavy retrieve overhead on the…

Computation and Language · Computer Science 2025-01-07 Xiangyu Shi , Yunlong Liang , Jinan Xu , Yufeng Chen

Population genomic studies have shown that genetic draft and background selection can profoundly affect the genome-wide patterns of molecular variation. We performed forward simulations under realistic gene-structure and selection scenarios…

Populations and Evolution · Quantitative Biology 2013-05-08 Philipp W. Messer , Dmitri A. Petrov

A common claim of evolutionary computation methods is that they can achieve good results without the need for human intervention. However, one criticism of this is that there are still hyperparameters which must be tuned in order to achieve…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Benjamin Patrick Evans , Bing Xue , Mengjie Zhang

Genetic algorithms are heuristic optimization techniques inspired by Darwinian evolution, which are characterized by successfully finding robust solutions for optimization problems. Here, we propose a subroutine-based quantum genetic…

Quantum Physics · Physics 2024-06-07 Rubén Ibarrondo , Giancarlo Gatti , Mikel Sanz

We refine a uniform algebraic approach for deriving upper bounds on reset thresholds of synchronizing automata. We express the condition that an automaton is synchronizing in terms of linear algebra, and obtain upper bounds for the reset…

Formal Languages and Automata Theory · Computer Science 2015-12-21 Mikhail Berlinkov , Marek Szykuła

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler

The sequence of amino acid monomers in the primary structure of a protein is decided by the corresponding sequence of codons (triplets of nucleic acid monomers) on the template messenger RNA (mRNA). The polymerization of a protein, by…

Biological Physics · Physics 2017-06-02 Annwesha Dutta , Debashish Chowdhury

The $(1+(\lambda,\lambda))$ genetic algorithm, first proposed at GECCO 2013, showed a surprisingly good performance on so me optimization problems. The theoretical analysis so far was restricted to the OneMax test function, where this GA…

Neural and Evolutionary Computing · Computer Science 2017-04-17 Maxim Buzdalov , Benjamin Doerr

Recent studies in DNA sequence classification have leveraged sophisticated machine learning techniques, achieving notable accuracy in categorizing complex genomic data. Among these, methods such as k-mer counting have proven effective in…

Genomics · Quantitative Biology 2024-01-26 Şükrü Ozan

We here examine the nonlinear dynamics of artificial homogeneous DNA chain relying on the plain-base rotator model. It is shown that such dynamics can exhibit kink and antikink solitons of sine-Gordon type. In that respect we propose…

Biological Physics · Physics 2015-06-05 S. Zdravković , M. V. Satarić , M. Daniel

While the theoretical analysis of evolutionary algorithms (EAs) has made significant progress for pseudo-Boolean optimization problems in the last 25 years, only sporadic theoretical results exist on how EAs solve permutation-based…

Neural and Evolutionary Computing · Computer Science 2022-10-07 Benjamin Doerr , Yassine Ghannane , Marouane Ibn Brahim

Frequencies of $k$-mers in sequences are sometimes used as a basis for inferring phylogenetic trees without first obtaining a multiple sequence alignment. We show that a standard approach of using the squared-Euclidean distance between…

Populations and Evolution · Quantitative Biology 2016-01-15 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant

Cancer progression is an evolutionary process that is driven by mutation and selection in a population of tumor cells. We discuss mathematical models of cancer progression, starting from traditional multistage theory. Each stage is…

Populations and Evolution · Quantitative Biology 2011-08-31 Moritz Gerstung , Niko Beerenwinkel

Cellular responses often require the fast activation or repression of specific genes, which depends on Transcription Factors (TFs) that have to quickly find the promoters of these genes within a large genome. Transcription Factors (TFs)…

Subcellular Processes · Quantitative Biology 2015-09-02 Jérôme Cartailler , Jürgen Reingruber

We propose a modified MSA algorithm on quantum annealers with applications in areas of bioinformatics and genetic sequencing. To understand the human genome, researchers compare extensive sets of these genetic sequences -- or their protein…

Quantum Physics · Physics 2024-03-28 Melody Lee

A major challenge in next-generation genome sequencing (NGS) is to assemble massive overlapping short reads that are randomly sampled from DNA fragments. To complete assembling, one needs to finish a fundamental task in many leading…

Genomics · Quantitative Biology 2015-05-26 Yang Li , XifengYan

Real time, or quantitative, PCR typically starts from a very low concentration of initial DNA strands. During iterations the numbers increase, first essentially by doubling, later predominantly in a linear way. Observation of the number of…

Probability · Mathematics 2018-01-23 Pavel Chigansky , Peter Jagers , Fima Klebaner

Motivation: The discovery of relationships between gene expression measurements and phenotypic responses is hampered by both computational and statistical impediments. Conventional statistical methods are less than ideal because they either…

Methodology · Statistics 2019-07-16 Lei Ding , Daniel J. McDonald

Genes with similar transcriptional activation kinetics can display very different temporal mRNA profiles due to differences in transcription time, degradation rate and RNA processing kinetics. Recent studies have shown that a…