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Using an information theoretic point of view, we investigate how a dynamics acting on a network can be coarse grained through the use of graph partitions. Specifically, we are interested in how aggregating the state space of a Markov…

Physics and Society · Physics 2017-11-07 Mauro Faccin , Michael T. Schaub , Jean-Charles Delvenne

Forecasting of multivariate time-series is an important problem that has applications in traffic management, cellular network configuration, and quantitative finance. A special case of the problem arises when there is a graph available that…

Machine Learning · Computer Science 2020-12-16 Boris N. Oreshkin , Arezou Amini , Lucy Coyle , Mark J. Coates

The aim of this work is the description of the chain formation phenomena observed in colloidal suspensions of superparamagnetic nanoparticles under high magnetic fields. We propose a new methodology based on an on-the-fly Coarse-Grain (CG)…

Soft Condensed Matter · Physics 2012-03-28 Jordi S. Andreu , Carles Calero , Juan Camacho , Jordi Faraudo

Graph embedding aims to transfer a graph into vectors to facilitate subsequent graph analytics tasks like link prediction and graph clustering. Most approaches on graph embedding focus on preserving the graph structure or minimizing the…

Machine Learning · Computer Science 2020-03-04 Shirui Pan , Ruiqi Hu , Sai-fu Fung , Guodong Long , Jing Jiang , Chengqi Zhang

Entity alignment (EA), a pivotal process in integrating multi-source Knowledge Graphs (KGs), seeks to identify equivalent entity pairs across these graphs. Most existing approaches regard EA as a graph representation learning task,…

Information Retrieval · Computer Science 2024-04-18 Yuanyi Wang , Haifeng Sun , Jingyu Wang , Qi Qi , Shaoling Sun , Jianxin Liao

Coarse grain (CG) molecular dynamics (MD) can simulate systems inaccessible to fine grain (FG) MD simulations. A CG simulation decreases the degrees of freedom by mapping atoms from an FG representation into agglomerate CG particles. The FG…

Chemical Physics · Physics 2018-10-08 Maghesree Chakraborty , Chenliang Xu , Andrew D. White

We propose Adaptive Deep Kernel Fitting with Implicit Function Theorem (ADKF-IFT), a novel framework for learning deep kernel Gaussian processes (GPs) by interpolating between meta-learning and conventional deep kernel learning. Our…

Machine Learning · Computer Science 2023-02-20 Wenlin Chen , Austin Tripp , José Miguel Hernández-Lobato

The work function and cleavage energy of a surface are critical properties that determine the viability of materials in electronic emission applications, semiconductor devices, and heterogeneous catalysis. While first principles…

Materials Science · Physics 2026-01-12 Circe Hsu , Claire Schlesinger , Karan Mudaliar , Jordan Leung , Robin Walters , Peter Schindler

Here we assess the applicability of graph neural networks (GNNs) for predicting the grain-scale elastic response of polycrystalline metallic alloys. Using GNN surrogate models, grain-averaged stresses during uniaxial elastic tension in Low…

Materials Science · Physics 2022-09-01 Darren C. Pagan , Calvin R. Pash , Austin R. Benson , Matthew P. Kasemer

All-atom molecular simulations offer detailed insights into macromolecular phenomena, but their substantial computational cost hinders the exploration of complex biological processes. We introduce Advanced Machine-learning Atomic…

Biomolecules · Quantitative Biology 2024-11-12 Antonio Mirarchi , Raul P. Pelaez , Guillem Simeon , Gianni De Fabritiis

The selection of coarse-grained (CG) mapping operators is a critical step for CG molecular dynamics (MD) simulation. It is still an open question about what is optimal for this choice and there is a need for theory. The current state-of-the…

Quantitative Methods · Quantitative Biology 2022-04-05 Zhiheng Li , Geemi P. Wellawatte , Maghesree Chakraborty , Heta A. Gandhi , Chenliang Xu , Andrew D. White

Coarse-Graining (CG) models are low resolution approximation of high resolution models, such as all-atomic (AA) models. An effective CG model is expected to reproduce equilibrium values of sufficient physical quantities of its AA model,…

Statistical Mechanics · Physics 2015-02-10 Shijing Lu , Xin Zhou

We study a fundamental problem in computational chemistry known as molecular conformation generation, trying to predict stable 3D structures from 2D molecular graphs. Existing machine learning approaches usually first predict distances…

Machine Learning · Computer Science 2021-06-09 Chence Shi , Shitong Luo , Minkai Xu , Jian Tang

Recent works have shown that exploiting multi-scale representations deeply learned via convolutional neural networks (CNN) is of tremendous importance for accurate contour detection. This paper presents a novel approach for predicting…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Dan Xu , Wanli Ouyang , Xavier Alameda-Pineda , Elisa Ricci , Xiaogang Wang , Nicu Sebe

We introduce Graph Memory (GM), a structured non-parametric framework that represents an embedding space through a compact graph of reliability-annotated prototype regions. GM encodes local geometry and regional ambiguity through prototype…

Machine Learning · Computer Science 2026-03-27 Artur A. Oliveira , Mateus Espadoto , Roberto M. Cesar , Roberto Hirata

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

Materials Science · Physics 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

Within first-principles density functional theory (DFT) frameworks, accurate but fast prediction of electronic structures of nanoparticles (NPs) remains challenging. Herein, we propose a machine-learning architecture to rapidly but…

Materials Science · Physics 2020-07-22 Kihoon Bang , Byung Chul Yeo , Donghun Kim , Sang Soo Han , Hyuck Mo Lee

We provide a definition and explicit expressions for $n$-body Gaussian Process (GP) kernels which can learn any interatomic interaction occurring in a physical system, up to $n$-body contributions, for any value of $n$. The series is…

Computational Physics · Physics 2018-05-30 Aldo Glielmo , Claudio Zeni , Alessandro De Vita

Molecular simulations have assumed a paramount role in the fields of chemistry, biology, and material sciences, being able to capture the intricate dynamic properties of systems. Within this realm, coarse-grained (CG) techniques have…

Chemical Physics · Physics 2026-03-06 Daniele Angioletti , Stefano Raniolo , Vittorio Limongelli

Optimization of atomic structures presents a challenging problem, due to their highly rough and non-convex energy landscape, with wide applications in the fields of drug design, materials discovery, and mechanics. Here, we present a graph…

Machine Learning · Computer Science 2023-06-21 Vaibhav Bihani , Sahil Manchanda , Srikanth Sastry , Sayan Ranu , N. M. Anoop Krishnan