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Modeling stiff partial differential equations (PDEs) with sharp gradients remains a significant challenge for scientific machine learning. While Physics-Informed Neural Networks (PINNs) struggle with spectral bias and slow training times,…

计算工程、金融与科学 · 计算机科学 2026-03-09 Akshay Govind Srinivasan , Balaji Srinivasan

Machine learning (ML) techniques have recently gained significant attention for solving compliance minimization (CM) problems. However, these methods typically provide poor feature boundaries, are very expensive, and lack a systematic…

机器学习 · 计算机科学 2025-11-06 Xiangyu Sun , Amin Yousefpour , Shirin Hosseinmardi , Ramin Bostanabad

Understanding and predicting interface diffusion phenomena in materials is crucial for various industrial applications, including semiconductor manufacturing, battery technology, and catalysis. In this study, we propose a novel approach…

材料科学 · 物理学 2025-01-13 Zirui Zhao , Hai-Feng Li

We present a novel machine learning approach for data assimilation applied in fluid mechanics, based on adjoint-optimization augmented by Graph Neural Networks (GNNs) models. We consider as baseline the Reynolds-Averaged Navier-Stokes…

Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics (CFD), but training them on high-resolution unstructured meshes with hundreds of thousands of nodes remains prohibitively…

机器学习 · 计算机科学 2025-09-17 Paul Garnier , Vincent Lannelongue , Elie Hachem

There has been a recent surge of interest in using machine learning to approximate density functional theory (DFT) in materials science. However, many of the most performant models are evaluated on large databases of computed properties of,…

材料科学 · 物理学 2021-07-02 Filip Ekström , Rickard Armiento , Fredrik Lindsten

In this study, a versatile methodology for initiating polymerization from monomers in highly cross-linked materials is investigated. As polymerization progresses, force-field parameters undergo continuous modification due to the formation…

计算工程、金融与科学 · 计算机科学 2024-01-15 Wonseok Lee , Sanggyu Chong , Jihan Kim

Nowadays the development of new functional materials/chemical compounds using machine learning (ML) techniques is a hot topic and includes several crucial steps, one of which is the choice of chemical structure representation. Classical…

计算物理 · 物理学 2020-06-11 Vadim Korolev , Artem Mitrofanov , Alexandru Korotcov , Valery Tkachenko

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

机器学习 · 计算机科学 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Proposing an effective and flexible matrix to represent a graph is a fundamental challenge that has been explored from multiple perspectives, e.g., filtering in Graph Fourier Transforms. In this work, we develop a novel and general…

机器学习 · 计算机科学 2023-05-11 Mingqi Yang , Wenjie Feng , Yanming Shen , Bryan Hooi

Preconditioning is at the heart of iterative solutions of large, sparse linear systems of equations in scientific disciplines. Several algebraic approaches, which access no information beyond the matrix itself, are widely studied and used,…

数值分析 · 数学 2025-01-28 Jie Chen

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

统计方法学 · 统计学 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Overcoming the challenge of limited data availability within materials science is crucial for the broad-based applicability of machine learning within materials science. One pathway to overcome this limited data availability is to use the…

材料科学 · 物理学 2024-12-24 Reshma Devi , Keith T. Butler , Gopalakrishnan Sai Gautam

Graph Neural Networks (GNNs) have emerged as powerful tools for learning over graph-structured data, yet recent studies have shown that their performance gains are beginning to plateau. In many cases, well-established models such as GCN and…

机器学习 · 计算机科学 2026-02-13 Mohit Meena , Yash Punjabi , Abhishek A , Vishal Sharma , Mahesh Chandran

Graph Convolutional Neural Network (GCNN) is a popular class of deep learning (DL) models in material science to predict material properties from the graph representation of molecular structures. Training an accurate and comprehensive GCNN…

机器学习 · 计算机科学 2022-07-26 Jong Youl Choi , Pei Zhang , Kshitij Mehta , Andrew Blanchard , Massimiliano Lupo Pasini

Foundation models, such as Large Language Models (LLMs) or Large Vision Models (LVMs), have emerged as one of the most powerful tools in the respective fields. However, unlike text and image data, graph data do not have a definitive…

机器学习 · 计算机科学 2025-04-28 Lecheng Kong , Jiarui Feng , Hao Liu , Chengsong Huang , Jiaxin Huang , Yixin Chen , Muhan Zhang

Graph Network Simulators (GNSs) have emerged as powerful surrogates for complex physics-based simulation, offering inherent differentiability and orders-of-magnitude speedups over traditional solvers. However, GNSs typically assume access…

Pre-trained graph models (PGMs) aim to capture transferable inherent structural properties and apply them to different downstream tasks. Similar to pre-trained language models, PGMs also inherit biases from human society, resulting in…

机器学习 · 计算机科学 2024-02-21 Zhongjian Zhang , Mengmei Zhang , Yue Yu , Cheng Yang , Jiawei Liu , Chuan Shi

Recently, graph neural networks (GNNs) have shown prominent performance in graph representation learning by leveraging knowledge from both graph structure and node features. However, most of them have two major limitations. First, GNNs can…

机器学习 · 计算机科学 2022-06-20 Wentao Zhang , Zeang Sheng , Mingyu Yang , Yang Li , Yu Shen , Zhi Yang , Bin Cui

Detecting and quantifying products of cellular metabolism using Mass Spectrometry (MS) has already shown great promise in many biological and biomedical applications. The biggest challenge in metabolomics is annotation, where measured…

机器学习 · 计算机科学 2020-10-12 Hao Zhu , Liping Liu , Soha Hassoun