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Machine learning surrogate models have emerged as a promising approach for accelerating multiscale materials simulations while preserving predictive fidelity. Among them, the Orientation-aware Interaction-based Deep Material Network (ODMN)…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Ting-Ju Wei , Tung-Huan Su , Chuin-Shan Chen

Deep learning is an important method for molecular design and exhibits considerable ability to predict molecular properties, including physicochemical, bioactive, and ADME/T (absorption, distribution, metabolism, excretion, and toxicity)…

Molecular Networks · Quantitative Biology 2022-05-10 Hanxuan Cai , Huimin Zhang , Duancheng Zhao , Jingxing Wu , Ling Wang

Computational material discovery is under intense study owing to its ability to explore the vast space of chemical systems. Neural network potentials (NNPs) have been shown to be particularly effective in conducting atomistic simulations…

Neural population activity in cortical and hippocampal circuits can be flexibly reorganized by context, suggesting that cognition relies on dynamic manifolds rather than static representations. However, how such dynamic organization can be…

Machine Learning · Computer Science 2026-03-04 Chong Li , Taiping Zeng , Xiangyang Xue , Jianfeng Feng

Machine learning (ML) models have emerged as powerful tools for accelerating materials discovery and design by enabling accurate predictions of properties from compositional and structural data. These capabilities are vital for developing…

Porous materials -- natural or engineered -- often exhibit dual pore-network structures that govern processes such as mineral exploration and hydrocarbon recovery from tight shales. Double porosity/permeability (DPP) mathematical models…

Numerical Analysis · Mathematics 2026-03-23 V. S. Maduri , K. B. Nakshatrala

Markov Random Fields (MRFs), a formulation widely used in generative image modeling, have long been plagued by the lack of expressive power. This issue is primarily due to the fact that conventional MRFs formulations tend to use simplistic…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Zhirong Wu , Dahua Lin , Xiaoou Tang

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

Many scientific and engineering systems exhibit intrinsically multimodal behavior arising from latent regime switching and non-unique physical mechanisms. In such settings, learning the full conditional distribution of admissible outcomes…

Machine Learning · Computer Science 2026-02-12 Jinkyo Han , Bahador Bahmani

In this study, we present a sophisticated hybrid machine-learning framework that significantly improves the accuracy of predicting hydrogen storage capacities in metal hydrides. This is a critical challenge due to the scarcity of…

Materials Science · Physics 2024-08-29 Satadeep Bhattacharjee , Pritam Das , Swetarekha Ram , Seung-Cheol Lee

We propose Alternating Phase-Field Fourier Neural Networks (APF-FNNs) as a unified and physics-based framework for topology optimization. The approach decouples the design problem by representing the state, adjoint, and topology fields with…

Optimization and Control · Mathematics 2026-01-27 Jing Li , Xindi Hu , Helin Gong , Wei Gong , Shengfeng Zhu

Peridynamics is a non-local continuum mechanics theory that offers unique advantages for modeling problems involving discontinuities and complex deformations. Within the peridynamic framework, various formulations exist, among which the…

Computational Physics · Physics 2024-11-15 Xuan Hu , Qijun Chen , Nicholas H. Luo , Richy J. Zheng , Shaofan Li

Machine learning force fields (MLFFs) have emerged as a sophisticated tool for cost-efficient atomistic simulations approaching DFT accuracy, with recent message passing MLFFs able to cover the entire periodic table. We present an invariant…

This paper addresses semantic image segmentation by incorporating rich information into Markov Random Field (MRF), including high-order relations and mixture of label contexts. Unlike previous works that optimized MRFs using iterative…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Ziwei Liu , Xiaoxiao Li , Ping Luo , Chen Change Loy , Xiaoou Tang

The natural world is full of complex systems characterized by intricate relations between their components: from social interactions between individuals in a social network to electrostatic interactions between atoms in a protein.…

Machine Learning · Computer Science 2024-02-23 Mathilde Papillon , Sophia Sanborn , Mustafa Hajij , Nina Miolane

To improve predictive models for STEM applications, supplemental physics-based features computed from input parameters are introduced into single and multiple layers of a deep neural network (DNN). While many studies focus on informing DNNs…

Emerging Technologies · Computer Science 2024-09-02 Nicholus R. Clinkinbeard , Nicole N. Hashemi

Topological Neural Networks (TNNs) incorporate higher-order relational information beyond pairwise interactions, enabling richer representations than Graph Neural Networks (GNNs). Concurrently, topological descriptors based on persistent…

Machine Learning · Computer Science 2024-06-06 Yogesh Verma , Amauri H Souza , Vikas Garg

Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional redistribution is coupled with structural changes of the crystal, resulting in dynamically…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Xiaoxuan Zhang , Krishna Garikipati

The discovery of Metal-Organic Frameworks (MOFs) with application-specific properties remains a central challenge in materials chemistry, owing to the immense size and complexity of their structural design space. Conventional computational…

Machine Learning · Computer Science 2025-06-03 Srivathsan Badrinarayanan , Rishikesh Magar , Akshay Antony , Radheesh Sharma Meda , Amir Barati Farimani

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin