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Theoretical design of global optimization algorithms can profitably utilize recent statistical mechanical treatments of potential energy surfaces (PES's). Here we analyze a particular method to explain its success in locating global minima…

Statistical Mechanics · Physics 2008-02-03 Jonathan Doye , David Wales

We show how to speed up global optimization of molecular structures using machine learning methods. To represent the molecular structures we introduce the auto-bag feature vector that combines: i) a local feature vector for each atom, ii)…

Computational Physics · Physics 2018-10-10 Søren A. Meldgaard , Esben L. Kolsbjerg , Bjørk Hammer

We present a method for reliably determining the lowest energy structure of an atomic cluster in an arbitrary model potential. The method is based on a genetic algorithm, which operates on a population of candidate structures to produce new…

mtrl-th · Physics 2009-10-28 D. M. Deaven , K. M. Ho

Rapid development of universal machine learning potentials (uMLPs) and expansion of training data sets are reshaping the state of the art in atomistic simulation, highlighting the need for concurrent systematic benchmarking of their…

Materials Science · Physics 2026-03-02 Edan T. Marcial , Laxman Chaudhary , Olesya Gorbunova , Aleksey N. Kolmogorov

A simple approach is proposed to investigate the protein structure. Using a low complexity model, a simple pairwise interaction and the concept of global optimization, we are able to calculate ground states of proteins, which are in…

Biomolecules · Quantitative Biology 2015-06-26 F. Dressel , S. Kobe

We introduce a novel heuristic global optimization method, energy landscape paving (ELP), which combines core ideas from energy surface deformation and tabu search. In appropriate limits, ELP reduces to existing techniques. The approach is…

Computational Physics · Physics 2009-11-07 Luc T. Wille , U. H. E. Hansmann

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

Probabilistic graphical models with frustration exhibit rugged energy landscapes that trap iterative optimization dynamics. These landscapes are shaped not only by local interactions, but crucially also by the global loop structure of the…

Disordered Systems and Neural Networks · Physics 2026-02-03 Timothee Leleu , Sam Reifenstein , Atsushi Yamamura , Surya Ganguli

We present a global optimizer, based on a conditional generative neural network, which can output ensembles of highly efficient topology-optimized metasurfaces operating across a range of parameters. A key feature of the network is that it…

Machine Learning · Computer Science 2019-07-18 Jiaqi Jiang , Jonathan A. Fan

We present an analysis of landscape features for predicting the performance of multi-objective combinatorial optimization algorithms. We consider features from the recently proposed compressed Pareto Local Optimal Solutions Networks…

Neural and Evolutionary Computing · Computer Science 2025-07-03 Ana Nikolikj , Gabriela Ochoa , Tome Eftimov

Locating the global minimum of a complex potential energy surface is facilitated by considering a homotopy, namely a family of surfaces that interpolate continuously from an arbitrary initial potential to the system under consideration.…

Computational Physics · Physics 2009-11-07 J. S. Hunjan , S. Sarkar , R. Ramaswamy

In recent years, many types of machine learning potentials (MLPs) have been introduced, which are able to represent high-dimensional potential-energy surfaces (PES) with close to first-principles accuracy. Most current MLPs rely on atomic…

Materials Science · Physics 2022-04-06 Marius Herbold , Jörg Behler

Local Optima Networks (LONs) represent the global structure of search spaces as graphs, but their construction requires iterative execution of a search algorithm to find local optima and approximate transitions between Basins of Attraction…

Neural and Evolutionary Computing · Computer Science 2026-04-24 Kippei Mizuta , Shoichiro Tanaka , Shuhei Tanaka , Toshiharu Hatanaka

Machine learned interatomic potentials (MLIPs) are becoming a standard method for DFT-level accurate molecular dynamics simulation and large-scale studies of crystal energetics. Increasingly popular are universal pre-trained potentials,…

Materials Science · Physics 2026-02-03 Abhijith S Parackal , Rickard Armiento , Florian Trybel

A central problem of materials science is to determine whether a hypothetical material is stable without being synthesized, which is mathematically equivalent to a global optimization problem on a highly non-linear and multi-modal potential…

Applications · Statistics 2023-05-02 Arvind Krishna , Huan Tran , Chaofan Huang , Rampi Ramprasad , V. Roshan Joseph

Structural optimization has been a crucial component in computational materials research, and structure predictions have relied heavily on this technique in particular. In this study, we introduce a novel method that enhances the efficiency…

Materials Science · Physics 2024-01-26 Shuo Tao , Xuecheng Shao , Li Zhu

Advanced structure prediction methods developed over the past decades include an unorthodox strategy of allowing atoms to displace into extra dimensions. A recently implemented global optimization of structures from hyperspace (GOSH) has…

Materials Science · Physics 2025-07-21 Daviti Gochitashvili , Maxwell Meyers , Cindy Wang , Aleksey N. Kolmogorov

We present an efficient approach for generating highly accurate molecular potential energy surfaces (PESs) using self-correcting, kernel ridge regression (KRR) based machine learning (ML). We introduce structure-based sampling to…

Chemical Physics · Physics 2018-08-20 Pavlo O. Dral , Alec Owens , Sergei N. Yurchenko , Walter Thiel

Efficient and reliable identification and optimization of transition state structures is a longstanding challenge in computational chemistry. Popular chain-of-states methods require hundreds if not thousands of ab initio calculations to…

Chemical Physics · Physics 2025-11-27 Diptarka Hait , Jan D. Estrada Pabón , Martin Stöhr , Todd J. Martínez

Machine learning potentials (MLPs) have become indispensable for conducting accurate large-scale atomistic simulations and for the efficient prediction of crystal structures. Polynomial MLPs, defined by polynomial rotational invariants,…

Materials Science · Physics 2024-08-05 Atsuto Seko
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