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RNA design aims to identify RNA sequences that fold into a target secondary structure. This task is challenging in terms of computational efficiency. Most existing methods focus on either minimum free energy (MFE)-based or ensemble-based…

Biomolecules · Quantitative Biology 2026-03-04 Tianshuo Zhou , David H. Mathews , Liang Huang

Functional or non-coding RNAs are attracting more attention as they are now potentially considered valuable resources in the development of new drugs intended to cure several human diseases. The identification of drugs targeting the…

Genomics · Quantitative Biology 2019-12-25 Muhammad Nabeel Asima , Muhammad Imran Malik , Andreas Dengela , Sheraz Ahmed

This paper revisits recent code similarity evaluation metrics, particularly focusing on the application of Abstract Syntax Tree (AST) editing distance in diverse programming languages. In particular, we explore the usefulness of these…

Computation and Language · Computer Science 2025-06-06 Yewei Song , Cedric Lothritz , Daniel Tang , Tegawendé F. Bissyandé , Jacques Klein

Edit distance between trees is a natural generalization of the classical edit distance between strings, in which the allowed elementary operations are contraction, uncontraction and relabeling of an edge. Demaine et al. [ACM Trans. on…

Data Structures and Algorithms · Computer Science 2018-04-27 Bartłomiej Dudek , Paweł Gawrychowski

We show that the edit distance between two run-length encoded strings of compressed lengths $m$ and $n$ respectively, can be computed in $\mathcal{O}(mn\log(mn))$ time. This improves the previous record by a factor of…

Data Structures and Algorithms · Computer Science 2019-05-06 Raphaël Clifford , Paweł Gawrychowski , Tomasz Kociumaka , Daniel P. Martin , Przemysław Uznański

The edit distance (a.k.a. the Levenshtein distance) between two strings is defined as the minimum number of insertions, deletions or substitutions of symbols needed to transform one string into another. The problem of computing the edit…

Computational Complexity · Computer Science 2017-08-17 Arturs Backurs , Piotr Indyk

RNA sequencing (RNA-seq) enables characterization and quantification of individual transcriptomes as well as detection of patterns of allelic expression and alternative splicing. Current RNA-seq protocols depend on high-throughput…

Genomics · Quantitative Biology 2015-06-19 Hyunghoon Cho , Joe Davis , Xin Li , Kevin S. Smith , Alexis Battle , Stephen B. Montgomery

In many applications, it is necessary to determine the string similarity. Edit distance[WF74] approach is a classic method to determine Field Similarity. A well known dynamic programming algorithm [GUS97] is used to calculate edit distance…

Data Structures and Algorithms · Computer Science 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

Motivation: DNA data is transcribed into single-stranded RNA, which folds into specific molecular structures. In this paper we pose the question to what extent sequence- and structure-information correlate. We view this correlation as…

Combinatorics · Mathematics 2016-08-23 Christopher Barrett , Fenix W. Huang , Christian M. Reidys

Sequence comparison is a basic task to capture similarities and differences between two or more sequences of symbols, with countless applications such as in computational biology. An alignment is a way to compare sequences, where a giving…

Discrete Mathematics · Computer Science 2023-03-16 Eloi Araujo , Fábio V. Martinez , Carlos H. A. Higa , José Soares

Our work is concerned with the generation and targeted design of RNA, a type of genetic macromolecule that can adopt complex structures which influence their cellular activities and functions. The design of large scale and complex…

Biomolecules · Quantitative Biology 2021-02-02 Zichao Yan , William L. Hamilton , Mathieu Blanchette

Motivation: Predicting the secondary structure of an RNA sequence is useful in many applications. Existing algorithms (based on dynamic programming) suffer from a major limitation: their runtimes scale cubically with the RNA length, and…

Biomolecules · Quantitative Biology 2020-01-14 Liang Huang , He Zhang , Dezhong Deng , Kai Zhao , Kaibo Liu , David A. Hendrix , David H. Mathews

The intricate network of interactions observed in RNA three-dimensional structures is often described in terms of a multitude of geometrical properties, including helical parameters, base pairing/stacking, hydrogen bonding and backbone…

Biomolecules · Quantitative Biology 2015-09-01 Sandro Bottaro , Francesco Di Palma , Giovanni Bussi

Non-coding RNAs are ubiquitous, but the discovery of new RNA gene sequences far outpaces research on their structure and functional interactions. We mine the evolutionary sequence record to derive precise information about function and…

Biomolecules · Quantitative Biology 2016-04-22 Caleb Weinreb , Adam J. Riesselman , John B. Ingraham , Torsten Gross , Chris Sander , Debora S. Marks

We describe a dynamic programming algorithm for predicting optimal RNA secondary structure, including pseudoknots. The algorithm has a worst case complexity of ${\cal O}(N^6)$ in time and ${\cal O}(N^4)$ in storage. The description of the…

Biological Physics · Physics 2009-09-25 Elena Rivas , Sean R. Eddy

Background: In the Nearest-Neighbor Thermodynamic Model, a standard approach for RNA secondary structure prediction, the energy of the multiloops is modeled using a linear entropic penalty governed by three branching parameters. Although…

Biomolecules · Quantitative Biology 2025-10-15 Svetlana Poznanović , Owen Cardwell , Christine Heitsch

The measurement of the similarity of RNA secondary structures, and in general of contact structures, of a fixed length has several specific applications. For instance, it is used in the analysis of the ensemble of suboptimal secondary…

Discrete Mathematics · Computer Science 2007-05-23 Mercé Llabrés , Francesc Rosselló

In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, and variation occurs only along unconstrained bonds and…

Methodology · Statistics 2025-02-25 Kanti V. Mardia , Benjamin Eltzner , Stephan F. Huckemann

Prior results for tRNA and 5S rRNA demonstrated that secondary structure prediction accuracy can be significantly improved by modifying the parameters in the multibranch loop entropic penalty function. However, for reasons not well…

Biomolecules · Quantitative Biology 2025-03-28 Svetlana Poznanović , Owen Cardwell , Christine Heitsch

Edit distance is a fundamental measure of distance between strings and has been widely studied in computer science. While the problem of estimating edit distance has been studied extensively, the equally important question of actually…

Data Structures and Algorithms · Computer Science 2018-05-08 Moses Charikar , Ofir Geri , Michael P. Kim , William Kuszmaul
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