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Artificial neural networks (ANNs) are used in various applications for data-driven black-box modeling and subsequent optimization. Herein, we present an efficient method for deterministic global optimization of ANN embedded optimization…

Optimization and Control · Mathematics 2018-10-16 Artur M Schweidtmann , Alexander Mitsos

The task of atom rearrangement has emerged in the last decade as a fundamental building block for the development of neutral atom-based quantum processors. However, despite many recent efforts to develop algorithms with favorable asymptotic…

Quantum Physics · Physics 2025-08-05 Nikhil K Harle , Bo-Yu Chen , Bob Bao , Hannes Bernien

Global optimization of crystal compositions is a significant yet computationally intensive method to identify stable structures within chemical space. The specific physical properties linked to a three-dimensional atomic arrangement make…

High-dimensional optimization is a critical challenge for operating large-scale scientific facilities. We apply a physics-informed Gaussian process (GP) optimizer to tune a complex system by conducting efficient global search. Typical GP…

Computational Physics · Physics 2021-07-14 Adi Hanuka , X. Huang , J. Shtalenkova , D. Kennedy , A. Edelen , V. R. Lalchand , D. Ratner , J. Duris

Algebraic multigrid (AMG) is conventionally applied in a black-box fashion, agnostic to the underlying geometry. In this work, we propose that using geometric information -- when available -- to assist with setting up the AMG hierarchy is…

Numerical Analysis · Mathematics 2025-12-18 Songzhe Xu , Majid Rasouli , Robert M. Kirby , David Moxey , Hari Sundar

A new strategy for global geometry optimization of clusters is presented. Important features are a restriction of search space to favorable nearest-neighbor distance ranges, a suitable cluster growth representation with diminished…

chem-ph · Physics 2009-10-28 Bernd Hartke

We introduce an atomistic classifier based on a combination of spectral graph theory and a Voronoi tessellation method. This classifier allows for the discrimination between structures from different minima of a potential energy surface,…

Chemical Physics · Physics 2024-07-19 Andreas Møller Slavensky , Bjørk Hammer

We introduce GO-Diff, a diffusion-based method for global structure optimization that learns to directly sample low-energy atomic configurations without requiring prior data or explicit relaxation. GO-Diff is trained from scratch using a…

Computational Physics · Physics 2025-10-16 Nikolaj Rønne , Tejs Vegge , Arghya Bhowmik

An important yet challenging aspect of atomistic materials modeling is reconciling experimental and computational results. Conventional approaches involve generating numerous configurations through molecular dynamics or Monte Carlo…

Materials Science · Physics 2024-12-23 Tigany Zarrouk , Rina Ibragimova , Albert P. Bartók , Miguel A. Caro

A new technique of global optimization and its applications in particular to neural networks are presented. The algorithm is also compared to other global optimization algorithms such as Gradient descent (GD), Monte Carlo (MC), Genetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-18 Homayoun Valafar , Okan K. Ersoy , Faramarz Valafar

Machine learning has proven to be a valuable tool to approximate functions in high-dimensional spaces. Unfortunately, analysis of these models to extract the relevant physics is never as easy as applying machine learning to a large dataset…

Materials Science · Physics 2020-05-06 Conrad W. Rosenbrock , Eric R. Homer , Gábor Csányi , Gus L. W. Hart

Many science and engineering applications feature non-convex optimization problems where the objective function can not be handled analytically, i.e. it is a black box. Examples include design optimization via experiments, or via costly…

Optimization and Control · Mathematics 2022-02-18 Lorenzo Sabug , Fredy Ruiz , Lorenzo Fagiano

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

Machine Learning · Computer Science 2023-03-20 Giorgio Giannone , Faez Ahmed

We present our latest contributions in terms of mathematical modeling and algorithm development for the global optimization of the ACOPF problem. These contributions allow us to close the optimality gap on a number of open instances in the…

Optimization and Control · Mathematics 2020-02-21 S. Gopinath , H. L. Hijazi , T. Weisser , H. Nagarajan , M. Yetkin , K. Sundar , R. W. Bent

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

Numerical Analysis · Mathematics 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

An important new trend in additive manufacturing is the use of optimization to automatically design industrial objects, such as beams, rudders or wings. Topology optimization, as it is often called, computes the best configuration of…

Recent advances in computing hardware and modeling software have given rise to new applications for numerical optimization. These new applications occasionally uncover bottlenecks in existing optimization algorithms and necessitate further…

Mathematical Software · Computer Science 2024-10-18 Anugrah Jo Joshy , John T. Hwang

Research challenges encountered across science, engineering, and economics can frequently be formulated as optimization tasks. In chemistry and materials science, recent growth in laboratory digitization and automation has sparked interest…

Global Optimization with First-principles Energy Expressions (GOFEE) is an efficient method for identifying low energy structures in computationally expensive energy landscapes such as the ones described by density functional theory (DFT),…

Chemical Physics · Physics 2023-07-06 Malthe K. Bisbo , Bjørk Hammer

Geometric machine learning models such as graph neural networks have achieved remarkable success in recent years in chemical and materials science research for applications such as high-throughput virtual screening and atomistic…

Materials Science · Physics 2025-04-16 Lingyu Kong , Nima Shoghi , Guoxiang Hu , Pan Li , Victor Fung