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Monte Carlo Exploring Starts (MCES), which aims to learn the optimal policy using only sample returns, is a simple and natural algorithm in reinforcement learning which has been shown to converge under various conditions. However, the…

Machine Learning · Computer Science 2024-10-07 Suei-Wen Chen , Keith Ross , Pierre Youssef

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

Steric clashes pose a challenge when exploring dense protein systems using conventional explicit-chain methods. A minimal example is a single lattice protein confined on a minimal grid, with no free sites. Finding its minimum energy is a…

Quantum Physics · Physics 2025-10-03 Anders Irbäck , Lucas Knuthson , Sandipan Mohanty

We propose and analyse a variant of the recently introduced kinetic based optimization method that incorporates ideas like survival-of-the-fittest and mutation strategies well-known from genetic algorithms. Thus, we provide a first attempt…

Optimization and Control · Mathematics 2024-07-18 Giacomo Albi , Federica Ferrarese , Claudia Totzeck

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

A class of Monte Carlo algorithms which incorporate absorbing Markov chains is presented. In a particular limit, the lowest-order of these algorithms reduces to the $n$-fold way algorithm. These algorithms are applied to study the escape…

Condensed Matter · Physics 2009-10-22 M. A. Novotny

We report the largest trapped-ion hardware demonstration of lattice protein-folding optimization to date, using bias-field digitized counterdiabatic quantum optimization (BF-DCQO) on a fully connected 64-qubit Barium development system…

Proteins are the basic building blocks of life. They usually perform functions by folding to a particular structure. Understanding the folding process could help the researchers to understand the functions of proteins and could also help to…

Computational Engineering, Finance, and Science · Computer Science 2015-10-21 Jianzhu Ma

Recent sequential pattern mining methods have used the minimum description length (MDL) principle to define an encoding scheme which describes an algorithm for mining the most compressing patterns in a database. We present a novel…

Machine Learning · Statistics 2016-11-14 Jaroslav Fowkes , Charles Sutton

Background: Many attempts have been made to resolve in time the folding of model proteins in computer simulations. Different computational approaches have emerged. Some of these approaches suffer from the insensitivity to the geometrical…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

Energy evaluation using fast Fourier transforms enables sampling billions of putative complex structures and hence revolutionized rigid protein-protein docking. However, in current methods efficient acceleration is achieved only in either…

RNA secondary structure prediction is widely used to understand RNA function. Recently, there has been a shift away from the classical minimum free energy (MFE) methods to partition function-based methods that account for folding ensembles…

Biomolecules · Quantitative Biology 2024-02-08 He Zhang , Liang Zhang , David H. Mathews , Liang Huang

We investigate an optimal control problem which arises in the optimization of an amplification technique for misfolded proteins. The improvement of this technique may play a role in the detection of prion diseases. The model consists in a…

Analysis of PDEs · Mathematics 2019-02-28 Jean-Michel Coron , Pierre Gabriel , Peipei Shang

Predicting the effect of mutations in proteins is one of the most critical challenges in protein engineering; by knowing the effect a substitution of one (or several) residues in the protein's sequence has on its overall properties, could…

Computational Engineering, Finance, and Science · Computer Science 2020-10-08 David Medina-Ortiz , Sebastian Contreras , Juan Amado-Hinojosa , Jorge Torres-Almonacid , Juan A. Asenjo , Marcelo Navarrete , Álvaro Olivera-Nappa

Directed evolution of proteins has been the most effective method for protein engineering. However, a new paradigm is emerging, fusing the library generation and screening approaches of traditional directed evolution with computation…

Biomolecules · Quantitative Biology 2023-05-29 Kadina E. Johnston , Clara Fannjiang , Bruce J. Wittmann , Brian L. Hie , Kevin K. Yang , Zachary Wu

Protein motifs are conserved fragments occurred frequently in protein sequences. They have significant functions, such as active site of an enzyme. Search and clustering protein sequence motifs are computational intensive. Most existing…

Genomics · Quantitative Biology 2017-01-03 Haifeng Chen , Ting Chen

We study the problem of compressing a source sequence in the presence of side-information that is related to the source via insertions, deletions and substitutions. We propose a simple algorithm to compress the source sequence when the…

Information Theory · Computer Science 2016-11-15 Nan Ma , Kannan Ramchandran , David Tse

Clustering bipartite graphs is a fundamental task in network analysis. In the high-dimensional regime where the number of rows $n_1$ and the number of columns $n_2$ of the associated adjacency matrix are of different order, existing methods…

Statistics Theory · Mathematics 2023-02-28 Guillaume Braun , Hemant Tyagi

While recent work towards the development of tight-binding and ab-initio algorithms has focused on molecular dynamics, Monte Carlo methods can often lead to better results with relatively little effort. We present here a multi-step Monte…

Statistical Mechanics · Physics 2009-10-31 Parthapratim Biswas , G. T. Barkema , Normand Mousseau , W. F. van der Weg

Protein inverse folding aims to design an amino acid sequence that will fold into a given backbone structure, serving as a central task in protein design. Two main paradigms have been widely explored. Template-based methods exploit…

Machine Learning · Computer Science 2026-03-17 Yiran Zhu , Changxi Chi , Hongxin Xiang , Wenjie Du , Xiaoqi Wang , Jun Xia