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For many random graph models, the analysis of a related birth process suggests local sampling algorithms for the size of, e.g., the giant connected component, the $k$-core, the size and probability of an epidemic outbreak, etc. In this…

Data Structures and Algorithms · Computer Science 2023-04-14 Christian Borgs , Geng Zhao

This paper studies unsupervised/self-supervised whole-graph representation learning, which is critical in many tasks such as molecule properties prediction in drug and material discovery. Existing methods mainly focus on preserving the…

Machine Learning · Computer Science 2021-06-09 Minghao Xu , Hang Wang , Bingbing Ni , Hongyu Guo , Jian Tang

Long-range electrostatics and polarization remain central obstacles to extending machine learning interatomic potentials (MLIPs) to ionic, polar, and interfacial systems. Here, we introduce a semi-local framework for learning electrostatics…

Materials Science · Physics 2026-05-08 Dongjin Kim , Daniel S. King , Yoonjae Park , Roya Savoj , Sebastien Hamel , Xiaoyu Wang , Bingqing Cheng

In this work we propose Support Vector Machine classification algorithms to classify onedimensional crystal lattice waves from locally sampled data. Different learning datasets of particle displacements, momenta and energy density values…

Materials Science · Physics 2022-04-06 Jānis Bajārs , Filips Kozirevs

Learning the structure--dynamics correlation in disordered systems is a long-standing problem. Here, we use unsupervised machine learning employing graph neural networks (GNN) to investigate the local structures in disordered systems. We…

Disordered Systems and Neural Networks · Physics 2022-06-28 Vaibhav Bihani , Sahil Manchanda , Sayan Ranu , N. M. Anoop Krishnan

Nitrogen-doped epitaxial graphene grown on SiC(000?1) was prepared by exposing the surface to an atomic nitrogen flux. Using Scanning Tunneling Microscopy (STM) and Spectroscopy (STS), supported by Density Functional Theory (DFT)…

Limited resources motivate decomposing large-scale problems into smaller,``local" subsystems and stitching together the so-found solutions. We explore the physics underlying this approach and discuss the concept of ``local hardness", i.e.,…

Disordered Systems and Neural Networks · Physics 2025-12-24 Mutian Shen , Gerardo Ortiz , Zhiqiao Dong , Martin Weigel , Zohar Nussinov

A central challenge in computational catalysis is the identification of low-energy and chemically plausible adsorption configurations, as these directly affect adsorption energies, reaction pathways, and catalytic performance. Existing…

Materials Science · Physics 2026-05-07 Yifan Li , Arravind Subramanian , Xiaoqing Liu , Qiujie Lyu , Sergey Kozlov , Lei Shen

Do users from Carnegie Mellon University form social communities on Facebook? Do signal processing researchers from tightly collaborate with each other? Do Chinese restaurants in Manhattan cluster together? These seemingly different…

Social and Information Networks · Computer Science 2017-04-05 Siheng Chen , Yaoqing Yang , Shi Zong , Aarti Singh , Jelena Kovačević

Place recognition is critical for both offline mapping and online localization. However, current single-sensor based place recognition still remains challenging in adverse conditions. In this paper, a heterogeneous measurements based…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Huan Yin , Xuecheng Xu , Yue Wang , Rong Xiong

Nowadays, the coupling of electronic structure and machine learning techniques serves as a powerful tool to predict chemical and physical properties of a broad range of systems. With the aim of improving the accuracy of predictions, a large…

Many graph-based learning problems can be cast as finding a good set of vertices nearby a seed set, and a powerful methodology for these problems is based on maximum flows. We introduce and analyze a new method for locally-biased…

Social and Information Networks · Computer Science 2016-05-30 Nate Veldt , David F. Gleich , Michael W. Mahoney

Parametric system identification methods estimate the parameters of explicitly defined physical systems from data. Yet, they remain constrained by the need to provide an explicit function space, typically through a predefined library of…

Machine Learning · Computer Science 2026-03-17 Markus W. Baumgartner , Anson Lei , Joe Watson , Ingmar Posner

With advancements of deep learning techniques, it is now possible to generate super-realistic images and videos, i.e., deepfakes. These deepfakes could reach mass audience and result in adverse impacts on our society. Although lots of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Mengnan Du , Shiva Pentyala , Yuening Li , Xia Hu

This paper outlines a rigorous variational-based multilevel Global-Local formulation for ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by regularizing the sharp crack topology on the local state.…

Numerical Analysis · Mathematics 2021-10-04 Fadi Aldakheel , Nima Noii , Thomas Wick , Olivier Allix , Peter Wriggers

Active learning - a class of algorithms that iteratively searches for the most informative samples to include in a training dataset - has been shown to be effective at annotating data for image classification. However, the use of active…

Computer Vision and Pattern Recognition · Computer Science 2018-01-17 Chieh-Chi Kao , Teng-Yok Lee , Pradeep Sen , Ming-Yu Liu

Contrastive learning methods based on InfoNCE loss are popular in node representation learning tasks on graph-structured data. However, its reliance on data augmentation and its quadratic computational complexity might lead to inconsistency…

Machine Learning · Computer Science 2022-12-12 Hengrui Zhang , Qitian Wu , Yu Wang , Shaofeng Zhang , Junchi Yan , Philip S. Yu

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,…

Materials Science · Physics 2021-07-02 Filip Ekström , Rickard Armiento , Fredrik Lindsten

Conventional change detection methods require a large number of images to learn background models or depend on tedious pixel-level labeling by humans. In this paper, we present a weakly supervised approach that needs only image-level labels…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Salman H Khan , Xuming He , Fatih Porikli , Mohammed Bennamoun , Ferdous Sohel , Roberto Togneri

In a recent study by some of us, we have proposed a new measure of the structure of a liquid, the softness of the mean-field caging potential, and shown that it can describe the temperature dependence of the dynamics. In this work, we put…

Soft Condensed Matter · Physics 2022-04-27 Mohit Sharma , Manoj Kumar Nandi , Sarika Maitra Bhattacharyya