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We consider the tuning parameter selection rules for nuclear norm regularized multivariate linear regression (NMLR) in high-dimensional setting. High-dimensional multivariate linear regression is widely used in statistics and machine…

Statistics Theory · Mathematics 2019-01-23 Pan Shang , Lingchen Kong

In this paper we derive polynomial time algorithms that generate random $k$-noncrossing matchings and $k$-noncrossing RNA structures with uniform probability. Our approach employs the bijection between $k$-noncrossing matchings and…

Combinatorics · Mathematics 2015-05-13 William Y. C. Chen , Hillary S. W. Han , Christian M. Reidys

Co-optimizing mRNA sequences for both codon optimality and secondary structure is crucial for producing stable and efficacious mRNA therapeutics. Codon optimization, which adjusts nucleotide sequences to enhance translational efficiency,…

Accurate prediction of RNA properties, such as stability and interactions, is crucial for advancing our understanding of biological processes and developing RNA-based therapeutics. RNA structures can be represented as 1D sequences, 2D…

Quantitative Methods · Quantitative Biology 2025-04-22 Junjie Xu , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao

We propose a new deterministic methodology to predict RNA sequence and protein folding. Is stem enough for structure prediction? The main idea is to consider all possible stem formation in the given sequence. With the stem loop energy and…

Discrete Mathematics · Computer Science 2022-01-19 Mengyi Tang , Kumbit Hwang , Sung Ha Kang

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 presents a new, parallel implementation of clustering and demonstrates its utility in greatly speeding up the process of identifying homologous proteins. Clustering is a technique to reduce the number of comparison needed to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Stuart Byma , Akash Dhasade , Adrian Altenhoff , Christophe Dessimoz , James R. Larus

We present analysis of a novel tool for protein secondary structure prediction using the recently-investigated Neural Machine Translation framework. The tool provides a fast and accurate folding prediction based on primary structure with…

Quantitative Methods · Quantitative Biology 2021-05-11 Evan Weissburg , Ian Bulovic

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

Is protein secondary structure primarily determined by local interactions between residues closely spaced along the amino acid backbone, or by non-local tertiary interactions? To answer this question we have measured the entropy densities…

Biomolecules · Quantitative Biology 2007-05-23 Gavin E. Crooks , Steven E. Brenner

We introduce the software tool NTRFinder to find the complex repetitive structure in DNA we call a nested tandem repeat (NTR). An NTR is a recurrence of two or more distinct tandem motifs interspersed with each other. We propose that nested…

Quantitative Methods · Quantitative Biology 2011-05-04 A. A. Matroud , M. D. Hendy , C. P. Tuffley

RNA's diverse biological functions stem from its structural versatility, yet accurately predicting and designing RNA sequences given a 3D conformation (inverse folding) remains a challenge. Here, I introduce a deep learning framework that…

Quantitative Methods · Quantitative Biology 2026-01-06 Annabelle Yao

RNA design, the task of finding a sequence that folds into a target secondary structure, has broad biological and biomedical impact but remains computationally challenging due to the exponentially large sequence space and exponentially many…

Machine Learning · Computer Science 2026-02-16 Milan Gautam , Ning Dai , Tianshuo Zhou , Bowen Xie , David Mathews , Liang Huang

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Background: One-dimensional protein structures such as secondary structures or contact numbers are useful for three-dimensional structure prediction and helpful for intuitive understanding of the sequence-structure relationship. Accurate…

Biomolecules · Quantitative Biology 2007-07-09 Akira R. Kinjo , Ken Nishikawa

Time series data, spanning applications ranging from climatology to finance to healthcare, presents significant challenges in data mining due to its size and complexity. One open issue lies in time series clustering, which is crucial for…

Machine Learning · Computer Science 2023-07-07 Jorge Marco-Blanco , Rubén Cuevas

Accurately assigning folds for divergent protein sequences is a major obstacle to structural studies and underlies the inverse protein folding problem. Herein, we outline our theories for fold-recognition in the "twilight-zone" of sequence…

Quantitative Methods · Quantitative Biology 2010-08-31 Yoojin Hong , Kyung Dae Ko , Gaurav Bhardwaj , Zhenhai Zhang , Damian B. van Rossum , Randen L. Patterson

Computational RNA secondary structure prediction is rather well established. However, such prediction algorithms always depend on a large number of experimentally measured parameters. Here, we study how sensitive structure prediction…

Quantitative Methods · Quantitative Biology 2007-05-23 D. M. Layton , R. Bundschuh

In this paper, we use the biological domain knowledge incorporated into stochastic models for ab initio RNA secondary-structure prediction to improve the state of the art in joint compression of RNA sequence and structure data (Liu et al.,…

Biomolecules · Quantitative Biology 2023-02-24 Evarista Onokpasa , Sebastian Wild , Prudence W. H. Wong

Emerging high-throughput technologies have led to a deluge of putative non-coding RNA (ncRNA) sequences identified in a wide variety of organisms. Systematic characterization of these transcripts will be a tremendous challenge. Homology…

Biomolecules · Quantitative Biology 2016-01-27 Lars Barquist , Sarah W. Burge , Paul P. Gardner