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Graphs as a type of data structure have recently attracted significant attention. Representation learning of geometric graphs has achieved great success in many fields including molecular, social, and financial networks. It is natural to…

Machine Learning · Computer Science 2021-07-08 Tian Xia , Wei-Shinn Ku

Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. We present a…

Populations and Evolution · Quantitative Biology 2020-09-22 Michael Golden , Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck , Jotun Hein

Predicting the structure of multi-protein complexes is a grand challenge in biochemistry, with major implications for basic science and drug discovery. Computational structure prediction methods generally leverage pre-defined structural…

Biomolecules · Quantitative Biology 2021-01-26 Stephan Eismann , Raphael J. L. Townshend , Nathaniel Thomas , Milind Jagota , Bowen Jing , Ron O. Dror

This review is a tutorial for scientists interested in the problem of protein structure prediction, particularly those interested in using coarse-grained molecular dynamics models that are optimized using lessons learned from the energy…

Biomolecules · Quantitative Biology 2014-01-06 N. P. Schafer , B. L. Kim , W. Zheng , P. G. Wolynes

Protein representation learning aims to learn informative protein embeddings capable of addressing crucial biological questions, such as protein function prediction. Although sequence-based transformer models have shown promising results by…

Quantitative Methods · Quantitative Biology 2024-10-22 Michail Chatzianastasis , Yang Zhang , George Dasoulas , Michalis Vazirgiannis

A generalized understanding of protein dynamics is an unsolved scientific problem, the solution of which is critical to the interpretation of the structure-function relationships that govern essential biological processes. Here, we approach…

Coarse-grained models are a core computational tool in theoretical chemistry and biophysics. A judicious choice of a coarse-grained model can yield physical insight by isolating the essential degrees of freedom that dictate the…

Statistical Mechanics · Physics 2023-04-12 Shriram Chennakesavalu , David J. Toomer , Grant M. Rotskoff

Structure-informed protein representation learning is essential for effective protein function annotation and \textit{de novo} design. However, the presence of inherent noise in both crystal and AlphaFold-predicted structures poses…

Biomolecules · Quantitative Biology 2025-03-25 Zhongyue Zhang , Runze Ma , Yanjie Huang , Shuangjia Zheng

After the recent ground-breaking advances in protein structure prediction, one of the remaining challenges in protein machine learning is to reliably predict distributions of structural states. Parametric models of fluctuations are…

Machine Learning · Computer Science 2024-01-25 Marloes Arts , Jes Frellsen , Wouter Boomsma

Understanding the dynamic behavior of proteins is critical to elucidating their functional mechanisms, yet generating realistic, temporally coherent trajectories of protein ensembles remains a significant challenge. In this work, we…

Biomolecules · Quantitative Biology 2025-11-11 Yaoyao Xu , Di Wang , Zihan Zhou , Tianshu Yu , Mingchen Chen

Proteins are inherently multiscale physical systems whose functional properties emerge from coordinated structural organization across multiple spatial resolutions, ranging from atomic interactions to global fold topology. However, existing…

Machine Learning · Computer Science 2026-05-13 Viet Thanh Duy Nguyen , John K. Johnstone , Truong-Son Hy

State space models (SSMs) have recently emerged as an alternative to transformers due to their unique ability of modeling global relationships in text with linear complexity. However, their success in vision tasks has been limited due to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Kunal Mahatha , Ali Bahri , Pierre Marza , Sahar Dastani , Maria Vakalopoulou , Stergios Christodoulidis , Jose Dolz , Christian Desrosiers

Navigating vast, rugged biological fitness landscapes to discover high-value functional patterns-such as optimal protein sequences-is a central challenge in health informatics. However, conventional algorithms often struggle with the…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Xu Wang , Yiquan Wang , Tin-Yeh Huang , Yuhua Dong , Jia Deng , Longji Xu , Xiang Li , Rui He

Modeling of DNA-protein interactions is a complex process involving many important time and length scales. This can be facilitated through the use of coarse-grained models which reduce the number of degrees of freedom and allow efficient…

SE(3)-based generative models have shown great promise in protein geometry modeling and effective structure design. However, the field currently lacks a modularized benchmark to enable comprehensive investigation and fair comparison of…

Machine Learning · Computer Science 2025-07-29 Lang Yu , Zhangyang Gao , Cheng Tan , Qin Chen , Jie Zhou , Liang He

Mapping the conformational dynamics of proteins is crucial for elucidating their functional mechanisms. While Molecular Dynamics (MD) simulation enables detailed time evolution of protein motion, its computational toll hinders its use in…

Learning system dynamics directly from observations is a promising direction in machine learning due to its potential to significantly enhance our ability to understand physical systems. However, the dynamics of many real-world systems are…

Machine Learning · Computer Science 2021-03-23 Karolis Martinkus , Aurelien Lucchi , Nathanaël Perraudin

The enormous size and complexity of genotypic sequence space frequently requires consideration of coarse-grained sequences in empirical models. We develop scaling relations to quantify the effect of this coarse-graining on properties of…

Populations and Evolution · Quantitative Biology 2015-06-01 Michael Manhart , Alexandre V. Morozov

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

Machine Learning · Computer Science 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

It has recently been discovered that many biological systems, when represented as graphs, exhibit a scale-free topology. One such system is the set of structural relationships among protein domains. The scale-free nature of this and other…

Populations and Evolution · Quantitative Biology 2009-11-10 Eric J. Deeds , Eugene I. Shakhnovich