English
Related papers

Related papers: RNA as a Permutation

200 papers

We introduce a novel approach for inferring natural preconditions from code. Our technique produces preconditions of high quality in terms of both correctness (modulo a test generator) and naturalness. Prior works generate preconditions…

Software Engineering · Computer Science 2024-08-20 Elizabeth Dinella , Shuvendu Lahiri , Mayur Naik

We introduce a novel fully convolutional neural network (FCN) architecture for predicting the secondary structure of ribonucleic acid (RNA) molecules. Interpreting RNA structures as weighted graphs, we employ deep learning to estimate the…

Biomolecules · Quantitative Biology 2024-06-07 Marc Harary , Chengxin Zhang

RNA plays a pivotal role in diverse biological processes, ranging from gene regulation to catalysis. Recent advances in RNA design, such as RfamGen, Ribodiffusion and RDesign, have demonstrated promising results, with successful designs of…

Biomolecules · Quantitative Biology 2025-03-11 Letian Gao , Zhi John Lu

The field of RNA secondary structure prediction has made significant progress with the adoption of deep learning techniques. In this work, we present the RNAformer, a lean deep learning model using axial attention and recycling in the…

Machine Learning · Computer Science 2023-07-20 Jörg K. H. Franke , Frederic Runge , Frank Hutter

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

We have presented some arguments to substantiate the usefulness of neural replicator analysis (NRA) for constructing variants of the natural binomial classification of virus genomes based only on knowledge of their complete genomic…

Genomics · Quantitative Biology 2022-12-13 Alexandr A. Ezhov

In this paper we derive the generating function of RNA structures with pseudoknots. We enumerate all $k$-noncrossing RNA pseudoknot structures categorized by their maximal sets of mutually intersecting arcs. In addition we enumerate…

Combinatorics · Mathematics 2009-09-29 Emma Y. Jin , Jing Qin , Christian M. Reidys

Analysis of the sequence-structure relationship in RNA molecules are essential to evolutionary studies but also to concrete applications such as error-correction methodologies in sequencing technologies. The prohibitive sizes of the…

Quantitative Methods · Quantitative Biology 2013-05-31 Vladimir Reinharz , Yann Ponty , Jérôme Waldispühl

RNA forms elaborate secondary structures through intramolecular base pairing. These structures perform critical biological functions within each cell. Due to the availability of a polynomial algorithm to calculate the partition function…

Biomolecules · Quantitative Biology 2019-03-04 William D. Baez , Kay Jörg Wiese , Ralf Bundschuh

In this paper, we consider the problem of designing DNA sequences (codewords) for DNA storage systems and DNA computing that are unlikely to fold back onto themselves to form undesirable secondary structures. The paper addresses both the…

Discrete Mathematics · Computer Science 2016-11-17 Olgica Milenkovic , Navin Kashyap

In this paper we model several simple biochemical operations on RNA molecules that modify their secondary structure by means of a suitable variation of Gro\ss e-Rhode's Algebra Transformation Systems.

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Merce Llabres , Francesc Rossello

Using machine learning, especially deep learning, to facilitate biological research is a fascinating research direction. However, in addition to the standard classification or regression problems, in bioinformatics, we often need to predict…

Quantitative Methods · Quantitative Biology 2020-08-31 Yu Li

We construct a minimalist model of RNA secondary-structure formation and use it to study the mapping from sequence to structure. There are strong, qualitative differences between two-letter and four or six-letter alphabets. With only two…

Statistical Mechanics · Physics 2009-11-07 Ranjan Mukhopadhyay , Eldon Emberly , Chao Tang , Ned S. Wingreen

RNA virus populations will undergo processes of mutation and selection resulting in a mixed population of viral particles. High throughput sequencing of a viral population subsequently contains a mixed signal of the underlying clones. We…

Populations and Evolution · Quantitative Biology 2014-07-31 Donatien Fotso-Chedom , Pablo R. Murcia , Chris D. Greenman

The Ribonucleic Acid (RNA) inverse folding problem, designing nucleotide sequences that fold into specific tertiary structures, is a fundamental computational biology problem with important applications in synthetic biology and…

Biomolecules · Quantitative Biology 2025-12-01 Mehyar Mlaweh , Tristan Cazenave , Ines Alaya

RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

Background: RNA exhibits a variety of structural configurations. Here we consider a structure to be tantamount to the noncrossing Watson-Crick and \pairGU-base pairings (secondary structure) and additional cross-serial base pairs. These…

Combinatorics · Mathematics 2010-03-12 James Z. M. Gao , Linda Y. M. Li , Christian M. Reidys

Molecular structures of RNA molecules reconstructed from X-ray crystallography frequently contain errors. Motivated by this problem we examine clustering on a torus since RNA shapes can be described by dihedral angles. A previously…

Biomolecules · Quantitative Biology 2021-04-02 Henrik Wiechers , Benjamin Eltzner , Stephan F. Huckemann , Kanti V. Mardia

This is a companion draft to paper 'Software Clustering: Unifying Syntactic and Semantic Features', in proceedings of the 19th Working Conference on Reverse Engineering (WCRE 2012). It discusses the clustering process in detail, which…

Software Engineering · Computer Science 2018-06-29 Janardan Misra , Vikrant Kaulgud , Gary Titus , Annervaz KM , Shubhashis Sengupta

Prediction of protein secondary structure from the amino acid sequence is a classical bioinformatics problem. Common methods use feed forward neural networks or SVMs combined with a sliding window, as these models does not naturally handle…

Quantitative Methods · Quantitative Biology 2015-01-06 Søren Kaae Sønderby , Ole Winther