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Protein folding, which dictates the protein structure from its amino acid sequence, is half a century old problem of biology. The function of the protein correlates with its structure, emphasizing the need of understanding protein folding…

Quantum Physics · Physics 2025-01-03 Jaya Vasavi P , Soham Bopardikar , Avinash D , Ashwini K , Kalyan Dasgupta , Sanjib Senapati

Industrial design evaluation often relies on high-fidelity simulations of governing partial differential equations (PDEs). While accurate, these simulations are computationally expensive, making dense exploration of design spaces…

Machine Learning · Computer Science 2025-10-01 Zhizhou Zhang , Youjia Wu , Kaixuan Zhang , Yanjia Wang

Time series alignment methods call for highly expressive, differentiable and invertible warping functions which preserve temporal topology, i.e diffeomorphisms. Diffeomorphic warping functions can be generated from the integration of…

Machine Learning · Computer Science 2022-06-17 Iñigo Martinez , Elisabeth Viles , Igor G. Olaizola

Partial differential equations (PDEs) play a central role in describing many physical phenomena. Various scientific and engineering applications demand a versatile and differentiable PDE solver that can quickly generate solutions with…

Computationally predicting protein-protein interactions (PPIs) is challenging due to the lack of integrated, multimodal protein representations. DPEB is a curated collection of 22,043 human proteins that integrates four embedding types:…

Deep learning has become a pivotal technology in fields such as computer vision, scientific computing, and dynamical systems, significantly advancing these disciplines. However, neural Networks persistently face challenges related to…

Machine Learning · Computer Science 2025-10-14 Yongshuai Liu , Lianfang Wang , Kuilin Qin , Qinghua Zhang , Faqiang Wang , Li Cui , Jun Liu , Yuping Duan , Tieyong Zeng

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

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

Protein structure prediction has reached revolutionary levels of accuracy on single structures, yet distributional modeling paradigms are needed to capture the conformational ensembles and flexibility that underlie biological function.…

Biomolecules · Quantitative Biology 2023-04-06 Bowen Jing , Ezra Erives , Peter Pao-Huang , Gabriele Corso , Bonnie Berger , Tommi Jaakkola

MOTIVATION: Proteins fold into complex structures that are crucial for their biological functions. Experimental determination of protein structures is costly and therefore limited to a small fraction of all known proteins. Hence, different…

Biomolecules · Quantitative Biology 2018-04-18 David Menéndez Hurtado , Karolis Uziela , Arne Elofsson

Contact-assisted protein folding has made very good progress, but two challenges remain. One is accurate contact prediction for proteins lack of many sequence homologs and the other is that time-consuming folding simulation is often needed…

Biomolecules · Quantitative Biology 2022-10-12 Jinbo Xu

The idea of neural Ordinary Differential Equations (ODE) is to approximate the derivative of a function (data model) instead of the function itself. In residual networks, instead of having a discrete sequence of hidden layers, the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Seyedalireza Khoshsirat , Chandra Kambhamettu

Besides classical feed-forward neural networks such as multilayer perceptrons, also neural ordinary differential equations (neural ODEs) have gained particular interest in recent years. Neural ODEs can be interpreted as an infinite depth…

Dynamical Systems · Mathematics 2026-02-11 Christian Kuehn , Sara-Viola Kuntz

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

Numerical Analysis · Mathematics 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

Machine Learning · Computer Science 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

Accurate protein structure prediction can significantly accelerate the development of life science. The accuracy of AlphaFold2, a frontier end-to-end structure prediction system, is already close to that of the experimental determination…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-14 Guoxia Wang , Xiaomin Fang , Zhihua Wu , Yiqun Liu , Yang Xue , Yingfei Xiang , Dianhai Yu , Fan Wang , Yanjun Ma

Protein inverse folding, the design of an amino acid sequence based on a target protein structure, is a fundamental problem of computational protein engineering. Existing methods either generate sequences without leveraging external…

Quantitative Methods · Quantitative Biology 2026-03-10 Jin Han , Tianfan Fu , Wu-Jun Li

Deep learning has emerged as a powerful framework for analyzing biomolecular dynamics trajectories, enabling efficient representations that capture essential system dynamics and facilitate mechanistic studies. We propose a neural network…

Biomolecules · Quantitative Biology 2025-11-25 Guanghong Zuo

In silico prediction of the ligand binding pose to a given protein target is a crucial but challenging task in drug discovery. This work focuses on blind flexible selfdocking, where we aim to predict the positions, orientations and…

Biomolecules · Quantitative Biology 2023-06-02 Yangtian Zhang , Huiyu Cai , Chence Shi , Bozitao Zhong , Jian Tang

AlphaFold 3 (AF3), the latest version of protein structure prediction software, goes beyond its predecessors by predicting protein-protein complexes. It could revolutionize drug discovery and protein engineering, marking a major step…

Biomolecules · Quantitative Biology 2024-06-07 JunJie Wee , Guo-Wei Wei