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We study the convergence of a variant of distributed gradient descent (DGD) on a distributed low-rank matrix approximation problem wherein some optimization variables are used for consensus (as in classical DGD) and some optimization…

Optimization and Control · Mathematics 2018-12-27 Zhihui Zhu , Qiuwei Li , Xinshuo Yang , Gongguo Tang , Michael B. Wakin

Atomistic simulations are a powerful tool for studying the dynamics of molecules, proteins, and materials on wide time and length scales. Their reliability and predictiveness, however, depend directly on the accuracy of the underlying…

Chemical Physics · Physics 2024-11-28 Silvan Käser , Debasish Koner , Markus Meuwly

Modern approaches to the search of Relative and Global minima of potential energy function of Biomacromolecular structures include techniques of combinatorial optimization like the study of Steiner Points and Steiner Trees. These methods…

Mathematical Physics · Physics 2007-05-23 R. P. Mondaini

Constrained density functional theory (cDFT) is a versatile electronic structure method that enables ground-state calculations to be performed subject to physical constraints. It thereby broadens their applicability and utility. Automated…

Other Condensed Matter · Physics 2016-08-03 David D. O'Regan , Gilberto Teobaldi

Simulation of surface processes is a key part of computational chemistry that offers atomic-scale insights into mechanisms of heterogeneous catalysis, diffusion dynamics, as well as quantum tunneling phenomena. The most common theoretical…

Chemical Physics · Physics 2023-05-01 Wei Fang , Yu-Cheng Zhu , Yi-Han Cheng , Yi-Ping Hao , Jeremy O. Richardson

We describe a global optimization technique using `basin-hopping' in which the potential energy surface is transformed into a collection of interpenetrating staircases. This method has been designed to exploit the features which recent work…

Condensed Matter · Physics 2007-05-23 David Wales , Jonathan Doye

One of the most promising techniques used for studying the electronic properties of materials is based on Density Functional Theory (DFT) approach and its extensions. DFT has been widely applied in traditional solid state physics problems…

Materials Science · Physics 2013-06-03 Nicola Varini , Davide Ceresoli , Layla Martin-Samos , Ivan Girotto , Carlo Cavazzoni

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

We have designed a new method to fit the energy and atomic forces using a single artificial neural network (SANN) for any number of chemical species present in a molecular system. The traditional approach for fitting the potential energy…

Chemical Physics · Physics 2018-12-05 Shweta Jindal , Satya S. Bulusu

This paper presents a methodological framework for training, self-optimising, and self-organising surrogate models to approximate and speed up multiobjective optimisation of technical systems based on multiphysics simulations. At the hand…

Machine Learning · Computer Science 2024-04-04 Diego Botache , Jens Decke , Winfried Ripken , Abhinay Dornipati , Franz Götz-Hahn , Mohamed Ayeb , Bernhard Sick

Efficient Global Optimization (EGO) is widely used for the optimization of computationally expensive black-box functions. It uses a surrogate modeling technique based on Gaussian Processes (Kriging). However, due to the use of a stationary…

Optimization and Control · Mathematics 2018-09-14 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

We introduce numerical optimization of multi-site support functions in the linear-scaling DFT code CONQUEST. Multi-site support functions, which are linear combinations of pseudo-atomic orbitals on a target atom and those neighbours within…

Materials Science · Physics 2016-01-20 Ayako Nakata , David R. Bowler , Tsuyoshi Miyazaki

In this investigation, we propose several algorithms to recover the location and intensity of a radiation source located in a simulated 250 m x 180 m block in an urban center based on synthetic measurements. Radioactive decay and detection…

Applications · Statistics 2016-07-05 Razvan Stefanescu , Kathleen Schmidt , Jason Hite , Ralph Smith , John Mattingly

Crystal structure prediction (CSP) for inorganic materials is one of the central and most challenging problems in materials science and computational chemistry. This problem can be formulated as a global optimization problem in which global…

Materials Science · Physics 2021-01-27 Jianjun Hu , Wenhui Yang , Edirisuriya M. Dilanga Siriwardane

Supported nanoparticle catalysts are widely used in the chemical industry. Computational modeling of supported nanoparticles based on density functional theory (DFT) often involves structural searches of stable local minimum energy…

Materials Science · Physics 2026-03-26 Jiayan Xu , Abhirup Patra , Amar Deep Pathak , Sharan Shetty , Detlef Hohl , Roberto Car

A fast metasurface optimization strategy for finite-size metasurfaces modeled using integral equations is presented. The metasurfaces considered are constructed from finite patterned metallic claddings supported by grounded dielectric…

Numerical Analysis · Mathematics 2023-06-16 Jordan Budhu , Anthony Grbic

Gaussian processes~(Kriging) are interpolating data-driven models that are frequently applied in various disciplines. Often, Gaussian processes are trained on datasets and are subsequently embedded as surrogate models in optimization…

Optimization and Control · Mathematics 2024-01-17 Artur M. Schweidtmann , Dominik Bongartz , Daniel Grothe , Tim Kerkenhoff , Xiaopeng Lin , Jaromil Najman , Alexander Mitsos

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

Orbital-free density functional theory as an extension of traditional Thomas-Fermi theory has attracted a lot of interest in the past decade because of developments in both more accurate kinetic energy functionals and highly efficient…

Materials Science · Physics 2009-11-10 Hong Jiang , Weitao Yang

Simulation of materials at the atomistic level is an important tool in studying microscopic structure and processes. The atomic interactions necessary for the simulation are correctly described by Quantum Mechanics. However, the…

Materials Science · Physics 2015-03-13 Albert P. Bartók
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