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This study investigates different Scientific Machine Learning (SciML) approaches for the analysis of functionally graded (FG) porous beams and compares them under a new framework. The beam material properties are assumed to vary as an…

Machine Learning · Computer Science 2024-12-25 Mohammad Sadegh Eshaghi , Mostafa Bamdad , Cosmin Anitescu , Yizheng Wang , Xiaoying Zhuang , Timon Rabczuk

Existing machine learning methods for molecular (e.g., gene) embeddings are restricted to specific tasks or data modalities, limiting their effectiveness within narrow domains. As a result, they fail to capture the full breadth of gene…

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

Biomolecules · Quantitative Biology 2025-11-11 Aaryesh Deshpande

We present PDE-FM, a modular foundation model for physics-informed machine learning that unifies spatial, spectral, and temporal reasoning across heterogeneous partial differential equation (PDE) systems. PDE-FM combines spatial-spectral…

Machine Learning · Computer Science 2025-12-01 Eduardo Soares , Emilio Vital Brazil , Victor Shirasuna , Breno W. S. R. de Carvalho , Cristiano Malossi

The accurate prediction of protein-ligand binding affinity is important for drug discovery yet remains challenging for multi-domain proteins, where inter-domain dynamics and flexible linkers govern molecular recognition. Current geometric…

Quantitative Methods · Quantitative Biology 2026-01-27 Shuo Zhang , Jian K. Liu

Toward the goal of using Scientific Machine Learning (SciML) emulators to improve the numerical representation of aerosol processes in global atmospheric models, we explore the emulation of aerosol microphysics processes under cloud-free…

Atmospheric and Oceanic Physics · Physics 2026-04-24 Shady E. Ahmed , Hui Wan , Saad Qadeer , Panos Stinis , Kezhen Chong , Mohammad Taufiq Hassan Mozumder , Kai Zhang , Ann S. Almgren

We present a novel scheme to accurately predict atomic forces as vector quantities, rather than sets of scalar components, by Gaussian Process (GP) Regression. This is based on matrix-valued kernel functions, on which we impose the…

Chemical Physics · Physics 2017-06-14 Aldo Glielmo , Peter Sollich , Alessandro De Vita

Classical empirical force fields have dominated biomolecular simulation for over 50 years. Although widely used in drug discovery, crystal structure prediction, and biomolecular dynamics, they generally lack the accuracy and transferability…

Geometric representation-conditioned molecule generation provides an effective paradigm that decouples molecule representation modeling from structure generation. By decoupling molecule generation into two stages-first generating a…

Machine Learning · Computer Science 2026-05-11 Shaoheng Yan , Zian Li , Cai Zhou , Qiaojing Huang , Kai Liu , Muhan Zhang

The machine learning force field has achieved significant strides in accurately reproducing the potential energy surface with quantum chemical accuracy. However, it still faces significant challenges, e.g., extrapolating to uncharted…

Chemical Physics · Physics 2024-04-23 Lifeng Xu , Jian Jiang

We introduce and explore an approach for constructing force fields for small molecules, which combines intuitive low body order empirical force field terms with the concepts of data driven statistical fits of recent machine learned…

Chemical Physics · Physics 2020-10-26 Alice Allen , Gábor Csányi , Geneviève Dusson , Christoph Ortner

This paper presents a physics-informed neural network approach for dynamic modeling of saturable synchronous machines, including cases with spatial harmonics. We introduce an architecture that incorporates gradient networks directly into…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Junyi Li , Tim Foissner , Floran Martin , Antti Piippo , Marko Hinkkanen

Neural network interatomic potentials (NNPs) have recently proven to be powerful tools to accurately model complex molecular systems while bypassing the high numerical cost of ab-initio molecular dynamics simulations. In recent years,…

Chemical Physics · Physics 2024-07-29 Thomas Plé , Olivier Adjoua , Louis Lagardère , Jean-Philip Piquemal

An adaptive modeling method (AMM) that couples a deep neural network potential and a classical force field is introduced to address the accuracy-efficiency dilemma faced by the molecular simulation community. The AMM simulated system is…

Chemical Physics · Physics 2018-11-14 Linfeng Zhang , Han Wang , Weinan E

The prediction of chemical properties using Machine Learning (ML) techniques calls for a set of appropriate descriptors that accurately describe atomic and, on a larger scale, molecular environments. A mapping of conformational information…

Chemical Physics · Physics 2021-02-02 Martin P. Bircher , Andreas Singraber , Christoph Dellago

Significant progress in computer hardware and software have enabled molecular dynamics (MD) simulations to model complex biological phenomena such as protein folding. However, enabling MD simulations to access biologically relevant…

Biomolecules · Quantitative Biology 2019-08-02 Heng Ma , Debsindhu Bhowmik , Hyungro Lee , Matteo Turilli , Michael T. Young , Shantenu Jha , Arvind Ramanathan

Particle-based shape modeling (PSM) is a family of approaches that automatically quantifies shape variability across anatomical cohorts by positioning particles (pseudo landmarks) on shape surfaces in a consistent configuration. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-07-11 Hong Xu , Shireen Y. Elhabian

The scientific community increasingly relies on machine learning (ML) for near-sensor processing, leveraging its strengths in tasks such as pattern recognition, anomaly detection, and real-time decision-making. These deployments demand…

Hardware Architecture · Computer Science 2026-03-30 G Abarajithan , Zhenghua Ma , Ravidu Munasinghe , Francesco Restuccia , Ryan Kastner

To further develop accurate and large-scale simulations of electrochemical interfaces, we propose a unified explicit electric potential framework to simultaneously predict atomic forces and electron density distributions. The framework…

Chemical Physics · Physics 2026-04-14 Jingwen Zhou , Yawen Yu , Xuwei Liu , Chungen Liu

The Scaled Boundary Finite Element Method (SBFEM) is a technique in which approximation spaces are constructed using a semi-analytical approach. They are based on partitions of the computational domain by polygonal/polyhedral subregions,…

Numerical Analysis · Mathematics 2021-04-07 Karolinne O. Coelho , Philippe R. B. Devloo , Sonia M. Gomes