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Quantifying the effects of amino acid mutations in proteins presents a significant challenge due to the vast combinations of residue sites and amino acid types, making experimental approaches costly and time-consuming. The Potts model has…

Methodology · Statistics 2025-05-22 Bingying Dai , Yinan Lin , Kejue Jia , Zhao Ren , Wen Zhou

Models such as AlphaFold2 and OpenFold have transformed protein structure prediction, yet their inner workings remain poorly understood. We present a methodology to systematically evaluate the contribution of individual OpenFold components…

Biomolecules · Quantitative Biology 2025-11-20 Tyler L. Hayes , Giri P. Krishnan

Observational longitudinal data on treatments and covariates are increasingly used to investigate treatment effects, but are often subject to time-dependent confounding. Marginal structural models (MSMs), estimated using inverse probability…

Methodology · Statistics 2020-02-11 Ruth H. Keogh , Shaun R. Seaman , Jon Michael Gran , Stijn Vansteelandt

The protein folding problem has been fundamentally transformed by artificial intelligence, evolving from static structure prediction toward the modeling of dynamic conformational ensembles and complex biomolecular interactions. This review…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jingzhi Chen , Lijian Xu

Leveraging deep learning for causal discovery in time series remains challenging because existing neural methods predominantly rely on component-wise architectures that fail to capture shared system dynamics or employ decoupled post-hoc…

Machine Learning · Computer Science 2026-05-11 Omar Muhammad , Pasupuleti Dhruv Shivkant , Deepak N. Subramani

Potts statistical models have become a popular and promising way to analyze mutational covariation in protein Multiple Sequence Alignments (MSAs) in order to understand protein structure, function and fitness. But the statistical…

Quantitative Methods · Quantitative Biology 2019-03-13 Allan Haldane , Ronald M. Levy

Mixture of factor analyzer (MFA) model is an efficient model for the analysis of high dimensional data through which the factor-analyzer technique based on the covariance matrices reducing the number of free parameters. The model also…

Methodology · Statistics 2022-12-05 Hamid Reza Safaeyan , Karim Zare , Mohamad R. Mahmoudi , Amir Mosavi

Recent advancements in machine learning (ML) are transforming the field of structural biology. For example, AlphaFold, a groundbreaking neural network for protein structure prediction, has been widely adopted by researchers. The…

We discuss the problem for detecting long-range correlations in sequences of values obtained by generators of pseudo-random numbers. The basic idea is that the H{\"o}lder exponent for a sufficiently long sequence of uncorrelated random…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Nikolay K. Vitanov , Kh. Tarnev , H. Kantz

The prediction of protein 3D structure from amino acid sequence is a computational grand challenge in biophysics, and plays a key role in robust protein structure prediction algorithms, from drug discovery to genome interpretation. The…

Biomolecules · Quantitative Biology 2024-07-03 Hyun Park , Parth Patel , Roland Haas , E. A. Huerta

Synthetic tabular data are often evaluated by distributional similarity, privacy distance, or train-on-synthetic-test-on-real predictive performance, but these criteria do not ensure validity for causal inference. We show that fully…

Methodology · Statistics 2026-05-12 Yichen Xu

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

The protein dynamics are common and important for their biological functions and properties, the study of which usually involves time-consuming molecular dynamics (MD) simulations in silico. Recently, generative models has been leveraged as…

Biomolecules · Quantitative Biology 2024-03-13 Jiarui Lu , Zuobai Zhang , Bozitao Zhong , Chence Shi , Jian Tang

Recent years have seen tremendous developments in the use of machine learning models to link amino acid sequence, structure and function of folded proteins. These methods are, however, rarely applicable to the wide range of proteins and…

Biomolecules · Quantitative Biology 2025-02-27 Sören von Bülow , Giulio Tesei , Kresten Lindorff-Larsen

Understanding protein dynamics is critical for elucidating their biological functions. The increasing availability of molecular dynamics (MD) data enables the training of deep generative models to efficiently explore the conformational…

Machine Learning · Computer Science 2025-12-04 Yuning Shen , Lihao Wang , Huizhuo Yuan , Yan Wang , Bangji Yang , Quanquan Gu

Generative models emerge as promising candidates for novel sequence-data driven approaches to protein design, and for the extraction of structural and functional information about proteins deeply hidden in rapidly growing sequence…

Biomolecules · Quantitative Biology 2021-11-10 Jeanne Trinquier , Guido Uguzzoni , Andrea Pagnani , Francesco Zamponi , Martin Weigt

Without knowledge of specific pockets, generating ligands based on the global structure of a protein target plays a crucial role in drug discovery as it helps reduce the search space for potential drug-like candidates in the pipeline.…

Biomolecules · Quantitative Biology 2023-10-02 Nhat Khang Ngo , Truong Son Hy

The conformational landscape of proteins is crucial to understanding their functionality in complex biological processes. Traditional physics-based computational methods, such as molecular dynamics (MD) simulations, suffer from rare event…

Biomolecules · Quantitative Biology 2024-09-25 Yan Wang , Lihao Wang , Yuning Shen , Yiqun Wang , Huizhuo Yuan , Yue Wu , Quanquan Gu

Recent developments in specialized computer hardware have greatly accelerated atomic level Molecular Dynamics (MD) simulations. A single GPU-attached cluster is capable of producing microsecond-length trajectories in reasonable amounts of…

Quantitative Methods · Quantitative Biology 2018-06-01 Yunlong Liu , L. Mario Amzel

Development of scoring functions (SFs) used to predict protein-ligand binding energies requires high-quality 3D structures and binding assay data for training and testing their parameters. In this work, we show that one of the widely-used…

Biological Physics · Physics 2025-03-10 Yingze Wang , Kunyang Sun , Jie Li , Xingyi Guan , Oufan Zhang , Dorian Bagni , Teresa Head-Gordon
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