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We introduce an RG-inspired coarse-graining for extracting the collective features of data. The key to successful coarse-graining lies in finding appropriate pairs of data sets. We coarse-grain the two closest data in a regular real-space…

Data Analysis, Statistics and Probability · Physics 2023-07-19 Jonathan Landy , Tsvi Tlusty , YeongKyu Lee , YongSeok Jho

The High Luminosity upgrade of the Large Hadron Collider (HL-LHC) will produce particle collisions with up to 200 simultaneous proton-proton interactions. These unprecedented conditions will create a combinatorial complexity for…

We propose a novel method to reconstruct the 3D shapes of transparent objects using hand-held captured images under natural light conditions. It combines the advantage of explicit mesh and multi-layer perceptron (MLP) network, a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Jiamin Xu , Zihan Zhu , Hujun Bao , Weiwei Xu

This paper addresses the challenge of reconstructing full-field structural mode shapes from sparse sensor data. While Gaussian Process Regression (GPR) offers a robust non-parametric framework for spatial interpolation and uncertainty…

Numerical Analysis · Mathematics 2026-05-25 Farid Ghahari

We describe a phase-retrieval-based imaging method to directly spatially resolve the vector lattice distortions in an extended crystalline sample by explicit coupling of independent Bragg ptychography data sets into the reconstruction…

Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsistencies and imperfections in heterogeneous data while also…

Machine Learning · Computer Science 2022-05-10 Zhengjing Ma , Gang Mei , Salvatore Cuomo , Francesco Piccialli

The search for materials with topological properties is an ongoing effort. In this article we propose a systematic statistical method supported by machine learning techniques that is capable of constructing topological models for a generic…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Thomas Mertz , Roser Valentí

This work presents a Finite Element Model Updating inverse methodology for reconstructing heterogeneous material distributions based on an efficient isogeometric shell formulation. It uses nonlinear hyperelastic material models suitable for…

Computational Engineering, Finance, and Science · Computer Science 2022-01-21 Bartosz Borzeszkowski , Izabela Lubowiecka , Roger A. Sauer

Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point clouds. Such models often involve point clouds with noise…

Computational Geometry · Computer Science 2025-08-26 Yu Chen , Hongwei Lin

Entangled networks are fundamental in various systems, from biological structures to engineered materials. Current techniques for programming entanglement often rely on intricate chemistry or result in statistically homogeneous networks,…

Applied Physics · Physics 2025-05-07 Daniel Revier , Jeffrey Ian Lipton

For natural frequency optimization of engineering structures, cellular composites have been shown to possess an edge over solid. However, existing multiscale design methods for cellular composites are either computationally exhaustive or…

Computational Engineering, Finance, and Science · Computer Science 2021-06-14 Liwei Wang , Anton van Beek , Daicong Da , Yu-Chin Chan , Ping Zhu , Wei Chen

In a recent article, we described how the microscopic structure of density-density correlations in the fluid interfacial region, for systems with short-ranged forces, can be understood by considering the resonances of the local structure…

Statistical Mechanics · Physics 2019-09-04 Andrew O. Parry , Carlos Rascón

Fault detection and diagnosis are critical for the optimal and safe operation of industrial processes. The correlations among sensors often display non-Euclidean structures where graph neural networks (GNNs) are widely used therein.…

Machine Learning · Computer Science 2026-04-22 Bibek Aryal , Gift Modekwe , Qiugang Lu

Functionally graded materials (FGMs) are two-phase composites with continuously changing microstructure adapted to performance requirements. Traditionally, the overall behavior of FGMs has been determined using local averaging techniques or…

Materials Science · Physics 2011-08-31 Zahra Sharif-Khodaei , Jan Zeman

We develop a general framework unifying several gradient-based stochastic optimization methods for empirical risk minimization problems both in centralized and distributed scenarios. The framework hinges on the introduction of an augmented…

Optimization and Control · Mathematics 2022-07-11 Yan Huang , Ying Sun , Zehan Zhu , Changzhi Yan , Jinming Xu

Analysis of nanoscale short-range chemical and/or structural order via (scanning) transmission electron microscopy (S/TEM) imaging is fundamentally limited by projection of the three dimensional sample, which averages informational along…

Materials Science · Physics 2022-08-25 Michael Xu , Abinash Kumar , James M. LeBeau

A deep understanding of the intricate interactions between particles within a system is a key approach to revealing the essential characteristics of the system, whether it is an in-depth analysis of molecular properties in the field of…

High Energy Physics - Lattice · Physics 2024-12-17 Ru Geng , Yixian Gao , Jian Zu , Hong-Kun Zhang

Most research on the simulation of deformation and failure of metals has been and continues to be performed using the finite element method. However, the issues of mesh entanglement under large deformation, considerable complexity in…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee

We introduce a finite element method for numerical upscaling of second order elliptic equations with highly heterogeneous coefficients. The method is based on a mixed formulation of the problem and the concepts of the domain decomposition…

Numerical Analysis · Mathematics 2013-10-11 Yalchin Efendiev , Raytcho Lazarov , Ke Shi

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

Chemical Physics · Physics 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse