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Determinantal point processes (DPPs) are random point processes well-suited for modeling repulsion. In machine learning, the focus of DPP-based models has been on diverse subset selection from a discrete and finite base set. This discrete…

Machine Learning · Statistics 2013-11-14 Raja Hafiz Affandi , Emily B. Fox , Ben Taskar

By observing trends in the folding kinetics of experimental 2-state proteins at their transition midpoints, and by observing trends in the barrier heights of numerous simulations of coarse grained, C-alpha model, Go proteins, we show that…

Quantitative Methods · Quantitative Biology 2009-11-10 B. Öztop , M. R. Ejtehadi , S. S. Plotkin

In the era of exceptionally data-hungry models, careful selection of the training data is essential to mitigate the extensive costs of deep learning. Data pruning offers a solution by removing redundant or uninformative samples from the…

Machine Learning · Computer Science 2025-02-11 Artem Vysogorets , Kartik Ahuja , Julia Kempe

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

We construct path integrals for stochastic hybrid reaction-diffusion (RD) processes, in which the reaction terms depend on the discrete state of a randomly switching environment. We proceed by spatially discretizing a given RD system and…

Statistical Mechanics · Physics 2021-10-15 Paul C. Bressloff

Accurate estimation of mutational effects on protein-protein binding energies is an open problem with applications in structural biology and therapeutic design. Several deep learning predictors for this task have been proposed, but,…

Biomolecules · Quantitative Biology 2025-07-09 Arthur Deng , Karsten Householder , Fang Wu , Sebastian Thrun , K. Christopher Garcia , Brian Trippe

Dynamic link prediction (DLP) makes graph prediction based on historical information. Since most DLP methods are highly dependent on the training data to achieve satisfying prediction performance, the quality of the training data is…

Artificial Intelligence · Computer Science 2021-10-11 Jinyin Chen , Haiyang Xiong , Haibin Zheng , Jian Zhang , Guodong Jiang , Yi Liu

Inverse protein folding generates valid amino acid sequences that can fold into a desired protein structure, with recent deep-learning advances showing strong potential and competitive performance. However, challenges remain, such as…

Biomolecules · Quantitative Biology 2025-07-29 Peizhen Bai , Filip Miljković , Xianyuan Liu , Leonardo De Maria , Rebecca Croasdale-Wood , Owen Rackham , Haiping Lu

Perturbing a Go model towards a realistic protein Hamiltonian by adding non-native interactions, we find that the folding rate is in general enhanced as ruggedness is initially increased, as long as the protein is sufficiently large and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Steven S. Plotkin

Using the Helmholtz decomposition of the vector field of folding fluxes in a two-dimensional space of collective variables, a potential of the driving force for protein folding is introduced. The potential has two components. One component…

Biological Physics · Physics 2013-10-15 Sergei F. Chekmarev

Molecular Dynamics (MD) simulations are fundamental computational tools for the study of proteins and their free energy landscapes. However, sampling protein conformational changes through MD simulations is challenging due to the relatively…

Biomolecules · Quantitative Biology 2023-07-20 Diego E. Kleiman , Hassan Nadeem , Diwakar Shukla

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

De novo prediction of protein folding is an open scientific challenge. Many folding models and force fields have been developed, yet all face difficulties converging to native conformations. Hydrophobicity scales (HSs) play a crucial role…

Biomolecules · Quantitative Biology 2017-12-05 Boris Haimov , Simcha Srebnik

We study lipid translocation ("flip-flop") between the leaflets of a planar lipid bilayer with transition path sampling (TPS). Rare flip-flops compete with biological machineries that actively establish asymmetric lipid compositions.…

Soft Condensed Matter · Physics 2025-02-18 Matthias Post , Gerhard Hummer

Recently, there is an emerging trend to apply deep reinforcement learning to solve the vehicle routing problem (VRP), where a learnt policy governs the selection of next node for visiting. However, existing methods could not handle well the…

Machine Learning · Computer Science 2021-10-07 Jingwen Li , Liang Xin , Zhiguang Cao , Andrew Lim , Wen Song , Jie Zhang

The dynamic nature of proteins, influenced by ligand interactions, is essential for comprehending protein function and progressing drug discovery. Traditional structure-based drug design (SBDD) approaches typically target binding sites with…

Biomolecules · Quantitative Biology 2025-03-07 Xiangxin Zhou , Yi Xiao , Haowei Lin , Xinheng He , Jiaqi Guan , Yang Wang , Qiang Liu , Feng Zhou , Liang Wang , Jianzhu Ma

This paper presents an energetic derivation of a class of multi-species reaction-diffusion systems incorporating various functional responses, with a focus on and application to ecological models. Starting point is a closed reaction network…

Analysis of PDEs · Mathematics 2025-07-10 Jan-Eric Sulzbach

The remarkable success of large-scale contrastive pre-training has been largely driven by by vast yet static datasets. However, as the scaling paradigm evolves, this paradigm encounters a fundamental challenge when applied to dynamic data…

Machine Learning · Computer Science 2025-11-25 Xiaoyu Yang , Jie Lu , En Yu , Wei Duan

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

Background:Prediction of protein three-dimensional structures from amino acid sequences is a long-standing goal in computational/molecular biology. The successful discrimination of protein folds would help to improve the accuracy of protein…

Biomolecules · Quantitative Biology 2007-05-23 Y-h. Taguchi , M. Michael Gromiha