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Over the last 10-15 years a general understanding of the chemical reaction of protein folding has emerged from statistical mechanics. The lessons learned from protein folding kinetics based on energy landscape ideas have benefited protein…

Biomolecules · Quantitative Biology 2007-05-23 Michael C. Prentiss , Corey Hardin , Michael P. Eastwood , Chenghong Zong , Peter G. Wolynes

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…

We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for problems with point defects. Near the defect core the method employs a potential-based atomistic model, which enables accurate simulation of the…

Numerical Analysis · Mathematics 2014-11-17 Derek Olson , Alexander V. Shapeev , Pavel Bochev , Mitchell Luskin

Molecular dynamics (MD) simulation is widely used to study protein conformations and dynamics. However, conventional simulation suffers from being trapped in some local energy minima that are hard to escape. Thus, most computational time is…

Quantitative Methods · Quantitative Biology 2022-04-28 Hao Tian , Xi Jiang , Sian Xiao , Hunter La Force , Eric C. Larson , Peng Tao

In the field of evolutionary multi-objective optimization, the approximation of the Pareto front (PF) is achieved by utilizing a collection of representative candidate solutions that exhibit desirable convergence and diversity. Although…

Neural and Evolutionary Computing · Computer Science 2024-07-10 Peng Chen , Jing Liang , Kangjia Qiao , Ponnuthurai Nagaratnam Suganthan , Xuanxuan Ban

Protein rigidity and flexibility can be analyzed accurately and efficiently using the program FIRST. Previous studies using FIRST were designed to analyze the rigidity and flexibility of proteins using a single static (snapshot) structure.…

Biomolecules · Quantitative Biology 2015-06-15 Adnan Sljoka , Derek Wilson

We present a three-stage framework for training deep learning models specializing in antibody sequence-structure co-design. We first pre-train a language model using millions of antibody sequence data. Then, we employ the learned…

Machine Learning · Computer Science 2025-10-24 Yibo Wen , Chenwei Xu , Jerry Yao-Chieh Hu , Kaize Ding , Han Liu

Lattice protein models, as the Hydrophobic-Polar (HP) model, are a common abstraction to enable exhaustive studies on structure, function, or evolution of proteins. A main issue is the high number of optimal structures, resulting from the…

Computational Engineering, Finance, and Science · Computer Science 2009-10-21 Martin Mann , Rolf Backofen , Sebastian Will

Protein design, a grand challenge of the day, involves optimization on a fitness landscape, and leading methods adopt a model-based approach where a model is trained on a training set (protein sequences and fitness) and proposes candidates…

Machine Learning · Computer Science 2024-07-01 Saba Ghaffari , Ehsan Saleh , Alexander G. Schwing , Yu-Xiong Wang , Martin D. Burke , Saurabh Sinha

Federated learning (FL) is a promising learning paradigm that can tackle the increasingly prominent isolated data islands problem while keeping users' data locally with privacy and security guarantees. However, FL could result in…

Information Theory · Computer Science 2022-03-30 Peng Yang , Yuning Jiang , Ting Wang , Yong Zhou , Yuanming Shi , Colin N. Jones

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

We propose adaptive, line search-free second-order methods with optimal rate of convergence for solving convex-concave min-max problems. By means of an adaptive step size, our algorithms feature a simple update rule that requires solving…

Optimization and Control · Mathematics 2024-11-12 Ruichen Jiang , Ali Kavis , Qiujiang Jin , Sujay Sanghavi , Aryan Mokhtari

We consider two- and three-dimensional lattice models of proteins which were characterized previously. We coarse grain their folding dynamics by reducing it to transitions between effective states. We consider two methods of selection of…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Trinh Xuan Hoang

Alternating-Current Optimal Power Flow (AC-OPF) is an optimization problem critical for planning and operating the power grid. The problem is traditionally formulated using only continuous variables. Typically, control devices with…

Optimization and Control · Mathematics 2021-10-15 Timothy McNamara , Amritanshu Pandey , Aayushya Agarwal , Larry Pileggi

In the experimental context of cold-fermion optical lattices, we discuss the possibilities to approach the pseudogap or ordered phases by manipulating the scattering length or the strength of the laser-induced lattice potential. Using the…

Strongly Correlated Electrons · Physics 2009-11-13 A. -M. Daré , L. Raymond , G. Albinet , A. -M. S. Tremblay

This paper is devoted to the design of efficient primal-dual algorithm (PDA) for solving convex optimization problems with known saddle-point structure. We present a new PDA with larger acceptable range of parameters and correction, which…

Optimization and Control · Mathematics 2019-12-04 Xiaokai Chang , Sanyang Liu

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

In the post-Moore era, the need for efficient solutions to non-deterministic polynomial-time (NP) problems is becoming more pressing. In this context, the Ising model implemented by the probabilistic computing systems with probabilistic…

Applied Physics · Physics 2025-02-28 Chao Fang , Yihan He , Xiao Gong , Gengchiau Liang

We present experimental evidence of the successful closed-loop optimization of the dynamics of cold atoms in an optical lattice. We optimize the loading of an ultracold atomic gas minimizing the excitations in an array of one-dimensional…

Quantum Physics · Physics 2014-01-08 S. Rosi , A. Bernard , N. Fabbri , L. Fallani , C. Fort , M. Inguscio , T. Calarco , S. Montangero

The min-cost matching problem suffers from being very sensitive to small changes of the input. Even in a simple setting, e.g., when the costs come from the metric on the line, adding two nodes to the input might change the optimal solution…

Discrete Mathematics · Computer Science 2019-04-30 Jannik Matuschke , Ulrike Schmidt-Kraepelin , José Verschae
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