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Quantum lattice models with large local Hilbert spaces emerge across various fields in quantum many-body physics. Problems such as the interplay between fermions and phonons, the BCS-BEC crossover of interacting bosons, or decoherence in…

Strongly Correlated Electrons · Physics 2021-04-26 Thomas Köhler , Jan Stolpp , Sebastian Paeckel

New types of designs called nested space-filling designs have been proposed for conducting multiple computer experiments with different levels of accuracy. In this article, we develop several approaches to constructing such designs. The…

Statistics Theory · Mathematics 2009-09-04 Peter Z. G. Qian , Mingyao Ai , C. F. Jeff Wu

This paper addresses the overwhelming computational resources needed with standard numerical approaches to simulate architected materials. Those multiscale heterogeneous lattice structures gain intensive interest in conjunction with the…

Numerical Analysis · Mathematics 2023-08-23 Thibaut Hirschler , Robin Bouclier , Pablo Antolin , Annalisa Buffa

The design of new devices and experiments in science and engineering has historically relied on the intuitions of human experts. This credo, however, has changed. In many disciplines, computer-inspired design processes, also known as…

Quantum Physics · Physics 2020-10-28 Mario Krenn , Manuel Erhard , Anton Zeilinger

In this article, an adaption of an algorithm for the creation of experimental designs by Lekivetz and Jones (2015) is suggested, dealing with constraints around randomization. Split-plot design of experiments is used, when the levels of…

Methodology · Statistics 2020-03-24 Thomas Muehlenstaedt , Maria Lanzerath

Model Predictive Control (MPC) is a computationally demanding control technique that allows dealing with multiple-input and multiple-output systems, while handling constraints in a systematic way. The necessity of solving an optimization…

Systems and Control · Computer Science 2021-12-16 Bulat Khusainov , Eric C. Kerrigan , George A. Constantinides

Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices…

High Energy Physics - Lattice · Physics 2021-12-15 Christopher Culver , David Schaich

Space-filling designs are commonly used in computer experiments to fill the space of inputs so that the input-output relationship can be accurately estimated. However, in certain applications such as inverse design or feature-based…

Methodology · Statistics 2023-09-08 Shangkun Wang , Adam P. Generale , Surya R. Kalidindi , V. Roshan Joseph

High-performance computing systems are more and more often based on accelerators. Computing applications targeting those systems often follow a host-driven approach in which hosts offload almost all compute-intensive sections of the code…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-15 E. Calore , A. Gabbana , S. F. Schifano , R. Tripiccione

High-fidelity physics simulations are powerful tools in the design and optimization of charged particle accelerators. However, the computational burden of these simulations often limits their use in practice for design optimization and…

Accelerator Physics · Physics 2020-04-15 Auralee Edelen , Nicole Neveu , Yannick Huber , Mattias Frey , Christopher Mayes , Andreas Adelmann

Semi-Latin squares have been extensively studied. They can be interpreted as a special case of latinized block designs where the number of columns is equal to the number of replicates in the design. Latinized row-column designs are…

Methodology · Statistics 2025-05-20 E. R. Williams

Quantum heuristics have shown promise in solving various optimization problems, including lattice protein folding. Equally relevant is the inverse problem, protein design, where one seeks sequences that fold to a given target structure. The…

We introduce statistical techniques required to handle complex computer models with potential applications to astronomy. Computer experiments play a critical role in almost all fields of scientific research and engineering. These computer…

Instrumentation and Methods for Astrophysics · Physics 2021-09-01 Joshua Lukemire , Qian Xiao , Abhyuday Mandal , Weng Kee Wong

Solving large-scale optimization on-the-fly is often a difficult task for real-time computer graphics applications. To tackle this challenge, model reduction is a well-adopted technique. Despite its usefulness, model reduction often…

Graphics · Computer Science 2015-06-30 Jianbo Ye , Zhixin Yan

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

Optimization problems associated with the interaction of linked particles are at the heart of polymer science, protein folding and other important problems in the physical sciences. In this review we explain how to recast these problems as…

Computer experiments refer to the study of real systems using complex simulation models. They have been widely used as alternatives to physical experiments. Design and analysis of computer experiments have attracted great attention in past…

Methodology · Statistics 2025-04-29 Anita Shahrokhian , Xinwei Deng , C. Devon Lin

The goal of our research was to enhance local search heuristics used to construct Latin Hypercube Designs. First, we introduce the \textit{1D-move} perturbation to improve the space exploration performed by these algorithms. Second, we…

Artificial Intelligence · Computer Science 2016-08-26 Pierre Bergé , Kaourintin Le Guiban , Arpad Rimmel , Joanna Tomasik

Computer experiments are often performed to allow modeling of a response surface of a physical experiment that can be too costly or difficult to run except using a simulator. Running the experiment over a dense grid can be prohibitively…

Applications · Statistics 2009-05-25 Robert B. Gramacy , Herbert K. H. Lee

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

Optimization and Control · Mathematics 2016-09-12 Gian Luca Brunetti