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A new numerical characterization of symbolic sequences is proposed. The partition of sequence based on Ke and Tong algorithm is a starting point. Algorithm decomposes original sequence into set of distinct subsequences - a patterns. The set…

Quantitative Methods · Quantitative Biology 2011-09-08 B. Kozarzewski

Recent advances in high-throughput genomics technologies have resulted in the sequencing of large numbers of (near) complete genomes. These genome sequences are being mined for important functional elements, such as genes. They are also…

Genomics · Quantitative Biology 2007-05-23 Lior Pachter

We introduce a method to estimate the complexity function of symbolic dynamical systems from a finite sequence of symbols. We test such complexity estimator on several symbolic dynamical systems whose complexity functions are known exactly.…

Populations and Evolution · Quantitative Biology 2017-01-19 R. Salgado-Garcia , E. Ugalde

This study proposes a data condensation method for multivariate kernel density estimation by genetic algorithm. First, our proposed algorithm generates multiple subsamples of a given size with replacement from the original sample. The…

Methodology · Statistics 2022-03-04 Kiheiji Nishida

Genotype networks are a method used in systems biology to study the "innovability" of a set of genotypes having the same phenotype. In the past they have been applied to determine the genetic heterogeneity, and stability to mutations, of…

Populations and Evolution · Quantitative Biology 2015-06-17 Giovanni Marco Dall'Olio , Jaume Bertranpetit , Andreas Wagner , Hafid Laayouni

By using the Jensen-Shannon divergence, genomic DNA can be divided into compositionally distinct domains through a standard recursive segmentation procedure. Each domain, while significantly different from its neighbours, may however share…

Biological Physics · Physics 2009-11-07 Rajeev K. Azad , J. Subba Rao , Wentian Li , Ramakrishna Ramaswamy

We introduce a complexity measure for symbolic sequences. Starting from a segmentation procedure of the sequence, we define its complexity as the entropy of the distribution of lengths of the domains of relatively uniform composition in…

Classical Physics · Physics 2007-05-23 Ana P. Majtey , Ramon Roman-Roldan , Pedro W. Lamberti

A fundamental property of DNA is that the reverse complement (RC) of a sequence often carries identical biological meaning. However, state-of-the-art DNA language models frequently fail to capture this symmetry, producing inconsistent…

Machine Learning · Computer Science 2025-09-24 Mingqian Ma

The identification of anomalies in temporal data is a core component of numerous research areas such as intrusion detection, fault prevention, genomics and fraud detection. This article provides an experimental comparison of the novelty…

Machine Learning · Computer Science 2019-12-02 Rémi Domingues , Pietro Michiardi , Jérémie Barlet , Maurizio Filippone

The article presents the theoretical foundations of the algorithm for calculating the number of different genomes in the medium under study and of two algorithms for determining the presence of a particular (known) genome in this medium.…

Genomics · Quantitative Biology 2015-06-23 Valery Kirzhner , Zeev Volkovich

Motivation: Thanks to the recent advances in structural biology, nowadays three-dimensional structures of various proteins are solved on a routine basis. A large portion of these contain structural repetitions or internal symmetries. To…

Quantitative Methods · Quantitative Biology 2018-10-30 Guillaume Pagès , Sergei Grudinin

A DNA palindrome is a segment of double-stranded DNA sequence with inver- sion symmetry which may form secondary structures conferring significant biolog- ical functions ranging from RNA transcription to DNA replication. To test if the…

Applications · Statistics 2011-04-28 I-Ping Tu , Yuan-Fu Huang , Shao-Hsuan Wang

The modeling of genomic sequences presents unique challenges due to their length and structural complexity. Traditional sequence models struggle to capture long-range dependencies and biological features inherent in DNA. In this work, we…

Computational Engineering, Finance, and Science · Computer Science 2026-03-09 Qirong Yang , Yucheng Guo , Zicheng Liu , Yujie Yang , Qijin Yin , Siyuan Li , Shaomin Ji , Linlin Chao , Xiaoming Zhang , Stan Z. Li

Gene annotation has traditionally required direct comparison of DNA sequences between an unknown gene and a database of known ones using string comparison methods. However, these methods do not provide useful information when a gene does…

Machine Learning · Computer Science 2019-09-17 James K. Senter , Taylor M. Royalty , Andrew D. Steen , Amir Sadovnik

The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

Frequent pattern mining is a relevant method to analyse structured data, like sequences, trees or graphs. It consists in identifying characteristic substructures of a dataset. This paper deals with a new type of patterns for tree data:…

Data Structures and Algorithms · Computer Science 2024-01-05 Romain Azaïs , Florian Ingels

Applying machine learning to biological sequences - DNA, RNA and protein - has enormous potential to advance human health, environmental sustainability, and fundamental biological understanding. However, many existing machine learning…

Machine Learning · Statistics 2023-04-11 Alan Nawzad Amin , Eli Nathan Weinstein , Debora Susan Marks

A new version of DNA walks, where nucleotides are regarded unequal in their contribution to a walk is introduced, which allows us to study thoroughly the "fine structure" of nucleotide sequences. The approach is based on the assumption that…

Genomics · Quantitative Biology 2007-05-23 Diana Duplij , Steven Duplij

Finding repeated patterns or motifs in a time series is an important unsupervised task that has still a number of open issues, starting by the definition of motif. In this paper, we revise the notion of motif support, characterizing it as…

Machine Learning · Computer Science 2016-12-06 Joan Serrà , Aleksandar Matic , Josep Luis Arcos , Alexandros Karatzoglou

In this paper we describe a new method for detecting and counting a repeating object in an image. While the method relies on a fairly sophisticated deformable part model, unlike existing techniques it estimates the model parameters in an…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Inbar Huberman , Raanan Fattal