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Classification is a core topic in functional data analysis. A large number of functional classifiers have been proposed in the literature, most of which are based on functional principal component analysis or functional regression. In…

Methodology · Statistics 2025-10-14 Ruoxu Tan , Yiming Zang

Predicting material properties base on micro structure of materials has long been a challenging problem. Recently many deep learning methods have been developed for material property prediction. In this study, we propose a crystal…

Materials Science · Physics 2022-11-22 Xiangrui Yang

Feature learning (FL), where neural networks adapt their internal representations during training, remains poorly understood. Using methods from statistical physics, we derive a tractable, self-consistent mean-field (MF) theory for the…

Machine Learning · Computer Science 2025-10-20 Niclas Göring , Chris Mingard , Yoonsoo Nam , Ard Louis

Machine-learned interatomic potentials (MLIPs) based on message passing neural networks hold promise to enable large-scale atomistic simulations of complex materials with ab initio accuracy. A number of MLIPs trained on energies and forces…

Materials Science · Physics 2025-04-09 Mikkel Ohm Sauer , Peder Meisner Lyngby , Kristian Sommer Thygesen

Accurate prediction of molecular properties is essential in drug discovery and related fields. However, existing graph neural networks (GNNs) often struggle to simultaneously capture both local and global molecular structures. In this work,…

Machine Learning · Computer Science 2025-08-26 XiaYu Liu , Chao Fan , Yang Liu , Hou-biao Li

Machine Learning (ML) techniques are revolutionizing the way to perform efficient materials modeling. Nevertheless, not all the ML approaches allow for the understanding of microscopic mechanisms at play in different phenomena. To address…

Materials Science · Physics 2022-06-22 Udaykumar Gajera , Loriano Storchi , Danila Amoroso , Francesco Delodovici , Silvia Picozzi

Machine learning potentials offer a revolutionary, unifying framework for molecular simulations across scales, from quantum chemistry to coarse-grained models. Here, I explore their potential to dramatically improve accuracy and scalability…

Chemical Physics · Physics 2024-08-26 Gianni De Fabritiis

Machine Learning (ML) approximations to Density Functional Theory (DFT) potential energy surfaces (PESs) are showing great promise for reducing the computational cost of accurate molecular simulations, but at present they are not applicable…

Chemical Physics · Physics 2020-03-05 Xiaowei Xie , Kristin A. Persson , David W. Small

Understanding the mechanical properties of solid-state materials at the atomic scale is crucial for developing novel materials. For example, amorphous LiSi alloys are attractive anode materials for solid-state Li-ion batteries but face…

Disordered Systems and Neural Networks · Physics 2024-02-15 Zixiong Wei , Nongnuch Artrith

Controllable Pareto front learning (CPFL) approximates the Pareto solution set and then locates a Pareto optimal solution with respect to a given reference vector. However, decision-maker objectives were limited to a constraint region in…

Machine Learning · Computer Science 2024-02-12 Tran Anh Tuan , Nguyen Viet Dung , Tran Ngoc Thang

Amorphous silicon (a-Si) is a widely studied non-crystalline material, and yet the subtle details of its atomistic structure are still unclear. Here, we show that accurate structural models of a-Si can be obtained by harnessing the power of…

Modern nuclear data evaluation increasingly requires not only accurate scattering calculations, but also efficient methods for uncertainty quantification and parameter optimization, tasks that benefit from differentiable solvers amenable to…

Nuclear Theory · Physics 2026-05-28 Jin Lei

Neural networks have been known for a long time as a tool for different types of classification, but only just in the last decade they have showed their entire power. Along with appearing of hardware that is capable to support demanding…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Marija Prokopijević , Aleksandar Stančić , Jelena Vasiljević , Željko Stojković , Goran Dimić , Jelena Sopta , Dalibor Ristić , Dhinaharan Nagamalai

The ever-increasing demand for processing data with larger machine learning models requires more efficient hardware solutions due to limitations such as power dissipation and scalability. Optics is a promising contender for providing lower…

Emerging Technologies · Computer Science 2022-08-11 Ilker Oguz , Jih-Liang Hsieh , Niyazi Ulas Dinc , Uğur Teğin , Mustafa Yildirim , Carlo Gigli , Christophe Moser , Demetri Psaltis

Recently, deep learning based image deblurring has been well developed. However, exploiting the detailed image features in a deep learning framework always requires a mass of parameters, which inevitably makes the network suffer from high…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Yanni Zhang , Yiming Liu , Qiang Li , Miao Qi , Dahong Xu , Jun Kong , Jianzhong Wang

Recent work has shown the potential of graph neural networks to efficiently predict material properties, enabling high-throughput screening of materials. Training these models, however, often requires large quantities of labelled data,…

Machine Learning · Computer Science 2022-11-28 Teddy Koker , Keegan Quigley , Will Spaeth , Nathan C. Frey , Lin Li

Machine learning potentials have emerged as a powerful tool to extend the time and length scales of first principles-quality simulations. Still, most machine learning potentials cannot distinguish different electronic spin orientations and…

Computational Physics · Physics 2022-01-25 Marco Eckhoff , Jörg Behler

Graph networks are a new machine learning (ML) paradigm that supports both relational reasoning and combinatorial generalization. Here, we develop universal MatErials Graph Network (MEGNet) models for accurate property prediction in both…

Materials Science · Physics 2019-04-29 Chi Chen , Weike Ye , Yunxing Zuo , Chen Zheng , Shyue Ping Ong

Machine learning potential enables molecular dynamics simulations of systems beyond the capability of classical force fields. The traditional approach to develop structural sets for training machine learning potential typically generate a…

Computational Physics · Physics 2021-09-06 Nan Xu , Chen Li , Mandi Fang , Qing Shao , Yingying Lu , Yao Shi , Yi He

Machine Learning (ML) has the potential to accelerate discovery of new materials and shed light on useful properties of existing materials. A key difficulty when applying ML in Materials Science is that experimental datasets of material…