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We extend an hypergraph representation, introduced by Finkelstein and Roytberg, to unify dynamic programming algorithms in the context of RNA folding with pseudoknots. Classic applications of RNA dynamic programming energy minimization,…

Quantitative Methods · Quantitative Biology 2011-06-21 Yann Ponty , Cédric Saule

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

RNAs are essential molecules that carry genetic information vital for life, with profound implications for drug development and biotechnology. Despite this importance, RNA research is often hindered by the vast literature available on the…

Genomics · Quantitative Biology 2024-11-15 Yijia Xiao , Edward Sun , Yiqiao Jin , Wei Wang

Interacting RNA complexes are studied via bicellular maps using a filtration via their topological genus. Our main result is a new bijection for RNA-RNA interaction structures and linear time uniform sampling algorithm for RNA complexes of…

Combinatorics · Mathematics 2014-04-15 Benjamin Mingming Fu , Hillary Siwei Han , Christian M. Reidys

Comprehensive surgical planning require complex patient-specific anatomical models. For instance, functional muskuloskeletal simulations necessitate all relevant structures to be segmented, which could be performed in real-time using deep…

Image and Video Processing · Electrical Eng. & Systems 2019-05-20 Firat Ozdemir , Orcun Goksel

An RNA secondary structure is designable if there is an RNA sequence which can attain its maximum number of base pairs only by adopting that structure. The combinatorial RNA design problem, introduced by Hale\v{s} et al. in 2016, is to…

Combinatorics · Mathematics 2020-05-12 Jonathan Jedwab , Tara Petrie , Samuel Simon

The Human Genome Project has led to an exponential increase in data related to the sequence, structure, and function of biomolecules. Bioinformatics is an interdisciplinary research field that primarily uses computational methods to analyze…

Biomolecules · Quantitative Biology 2024-05-14 Yanlin Zhou , Tong Zhan , Yichao Wu , Bo Song , Chenxi Shi

The relationship between RNA structure and function has recently attracted interest within the deep learning community, a trend expected to intensify as nucleic acid structure models advance. Despite this momentum, the lack of standardized,…

Biomolecules · Quantitative Biology 2025-10-23 Luis Wyss , Vincent Mallet , Wissam Karroucha , Karsten Borgwardt , Carlos Oliver

We propose Seq2Edits, an open-vocabulary approach to sequence editing for natural language processing (NLP) tasks with a high degree of overlap between input and output texts. In this approach, each sequence-to-sequence transduction is…

Computation and Language · Computer Science 2020-09-24 Felix Stahlberg , Shankar Kumar

RNA-Seq technology offers new high-throughput ways for transcript identification and quantification based on short reads, and has recently attracted great interest. The problem is usually modeled by a weighted splicing graph whose nodes…

Quantitative Methods · Quantitative Biology 2013-08-02 Alexandru I. Tomescu , Anna Kuosmanen , Romeo Rizzi , Veli Mäkinen

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

We revisit the problem of computing the edit distance of a regular language given via an NFA. This problem relates to the inherent maximal error-detecting capability of the language in question. We present an efficient algorithm for solving…

Formal Languages and Automata Theory · Computer Science 2014-06-05 Lila Kari , Stavros Konstantinidis , Steffen Kopecki , Meng Yang

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

The tertiary structures of functional RNA molecules remain difficult to decipher. A new generation of automated RNA structure prediction methods may help address these challenges but have not yet been experimentally validated. Here we apply…

Biomolecules · Quantitative Biology 2011-10-05 Wipapat Kladwang , Fang-Chieh Chou , Rhiju Das

The kinetic folding of RNA sequences into secondary structures is modeled as a complex adaptive system, the components of which are possible RNA structural rearrangements (SRs) and their associated bases and base pairs. RNA bases and base…

Biomolecules · Quantitative Biology 2007-05-23 Wilfred Ndifon

The contact map of a protein fold is a graph that represents the patterns of contacts in the fold. It is known that the contact map can be decomposed into stacks and queues. RNA secondary structures are special stacks in which the degree of…

Combinatorics · Mathematics 2014-06-05 William Y. C. Chen , Qiang-Hui Guo , Lisa H. Sun , Jian Wang

Sequence alignment is a cornerstone technique in computational biology for assessing similarities and differences among biological sequences. A key variant, sequence-to-graph alignment, plays a crucial role in effectively capturing genetic…

Computational Complexity · Computer Science 2026-02-16 Xingfu Li

Predicting the secondary structure of RNA is a core challenge in computational biology, essential for understanding molecular function and designing novel therapeutics. The field has evolved from foundational but accuracy-limited…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Giovanni Bussi , Guido Sanguinetti

We consider an efficient two-party protocol for securely computing the similarity of strings w.r.t. an extended edit distance measure. Here, two parties possessing strings $x$ and $y$, respectively, want to jointly compute an approximate…

Cryptography and Security · Computer Science 2019-12-02 Yohei Yoshimoto , Masaharu Kataoka , Yoshimasa Takabatake , Tomohiro I , Kilho Shin , Hiroshi Sakamoto

Neural architecture search (NAS) in expressive search spaces is a computationally hard problem, but it also holds the potential to automatically discover completely novel and performant architectures. To achieve this we need effective…

Neural and Evolutionary Computing · Computer Science 2025-12-05 Adri Gómez Martín , Felix Möller , Steven McDonagh , Monica Abella , Manuel Desco , Elliot J. Crowley , Aaron Klein , Linus Ericsson
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