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Mesh-based 3D static analysis methods have recently emerged as efficient alternatives to traditional computational numerical solvers, significantly reducing computational costs and runtime for various physics-based analyses. However, these…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Sungwon Kim , Namkyeong Lee , Yunyoung Doh , Seungmin Shin , Guimok Cho , Seung-Won Jeon , Sangkook Kim , Chanyoung Park

We introduce a novel equivariant graph neural network (GNN) architecture designed to predict the tensorial response properties of molecules. Unlike traditional frameworks that focus on regressing scalar quantities and derive tensorial…

Machine Learning · Computer Science 2025-11-11 Jean Philip Filling , Felix Post , Michael Wand , Denis Andrienko

In this paper, we examine the parameter estimation performance of three well-known sinusoidal models for speech and audio. The first one is the standard Sinusoidal Model (SM), which is based on the Fast Fourier Transform (FFT). The second…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-04 George P. Kafentzis

Learning meaningful protein representation is important for a variety of biological downstream tasks such as structure-based drug design. Having witnessed the success of protein sequence pretraining, pretraining for structural data which is…

Machine Learning · Computer Science 2023-02-23 Yufei Huang , Lirong Wu , Haitao Lin , Jiangbin Zheng , Ge Wang , Stan Z. Li

A coarse-grained computational procedure based on the Finite Element Method is proposed to calculate the normal modes and mechanical response of proteins and their supramolecular assemblies. Motivated by the elastic network model, proteins…

Biomolecules · Quantitative Biology 2007-05-23 Mark Bathe

Three-dimensional native states of natural proteins display recurring and hierarchical patterns. Yet, traditional graph-based modeling of protein structures is often limited to operate within a single fine-grained resolution, and lacks…

Machine Learning · Computer Science 2023-12-29 Allan dos Santos Costa , Ilan Mitnikov , Mario Geiger , Manvitha Ponnapati , Tess Smidt , Joseph Jacobson

Predicting how a drug-like molecule binds to a specific protein target is a core problem in drug discovery. An extremely fast computational binding method would enable key applications such as fast virtual screening or drug engineering.…

Biomolecules · Quantitative Biology 2022-06-07 Hannes Stärk , Octavian-Eugen Ganea , Lagnajit Pattanaik , Regina Barzilay , Tommi Jaakkola

Protein structure prediction is pivotal for understanding the structure-function relationship of proteins, advancing biological research, and facilitating pharmaceutical development and experimental design. While deep learning methods and…

Machine Learning · Computer Science 2024-12-30 Kaihui Cheng , Ce Liu , Qingkun Su , Jun Wang , Liwei Zhang , Yining Tang , Yao Yao , Siyu Zhu , Yuan Qi

Establishing the relationship between 3D structures and the energy states of molecular systems has proven to be a promising approach for learning 3D molecular representations. However, existing methods are limited to modeling the molecular…

Machine Learning · Computer Science 2025-02-27 Liang Wang , Shaozhen Liu , Yu Rong , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang

Carbohydrates, vital components of biological systems, are well-known for their structural diversity. Nuclear Magnetic Resonance (NMR) spectroscopy plays a crucial role in understanding their intricate molecular arrangements and is…

Machine Learning · Computer Science 2023-11-22 Maria Bånkestad , Keven M. Dorst , Göran Widmalm , Jerk Rönnols

Message passing neural networks have become a method of choice for learning on graphs, in particular the prediction of chemical properties and the acceleration of molecular dynamics studies. While they readily scale to large training data…

Machine Learning · Computer Science 2021-06-08 Kristof T. Schütt , Oliver T. Unke , Michael Gastegger

Spiking Neural Networks (SNNs) demonstrate significant potential for energy-efficient neuromorphic computing through an event-driven paradigm. While training methods and computational models have greatly advanced, SNNs struggle to achieve…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Jieyuan Zhang , Xiaolong Zhou , Shuai Wang , Wenjie Wei , Hanwen Liu , Qian Sun , Malu Zhang , Yang Yang , Haizhou Li

Much scientific enquiry across disciplines is founded upon a mechanistic treatment of dynamic systems that ties form to function. A highly visible instance of this is in molecular biology, where an important goal is to determine…

Biomolecules · Quantitative Biology 2021-06-17 Xiaojie Guo , Yuanqi Du , Sivani Tadepalli , Liang Zhao , Amarda Shehu

Accurately predicting 3D structures and dynamics of physical systems is crucial in scientific applications. Existing approaches that rely on geometric Graph Neural Networks (GNNs) effectively enforce $\mathrm{E}(3)$-equivariance, but they…

Machine Learning · Computer Science 2025-02-20 Zongzhao Li , Jiacheng Cen , Bing Su , Wenbing Huang , Tingyang Xu , Yu Rong , Deli Zhao

Rotational symmetry plays a central role in physics, providing an elegant framework to describe how the properties of 3D objects -- from atoms to the macroscopic scale -- transform under the action of rigid rotations. Equivariant models of…

Chemical Physics · Physics 2025-10-28 Michelangelo Domina , Filippo Bigi , Paolo Pegolo , Michele Ceriotti

This work introduces E3x, a software package for building neural networks that are equivariant with respect to the Euclidean group $\mathrm{E}(3)$, consisting of translations, rotations, and reflections of three-dimensional space. Compared…

Machine Learning · Computer Science 2024-11-12 Oliver T. Unke , Hartmut Maennel

Accurate identification of protein binding sites is crucial for understanding biomolecular interaction mechanisms and for the rational design of drug targets. Traditional predictive methods often struggle to balance prediction accuracy with…

Machine Learning · Computer Science 2026-01-06 Weisen Yang , Hanqing Zhang , Wangren Qiu , Xuan Xiao , Weizhong Lin

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

Protein-protein interactions (PPIs) play a crucial role in numerous biological processes. Developing methods that predict binding affinity changes under substitution mutations is fundamental for modelling and re-engineering biological…

We present an equivariant neural network for predicting vibrational and phonon modes of molecules and periodic crystals, respectively. These predictions are made by evaluating the second derivative Hessian matrices of the learned energy…

Disordered Systems and Neural Networks · Physics 2024-03-19 Shiang Fang , Mario Geiger , Joseph G. Checkelsky , Tess Smidt