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In the context of industrial engineering, it is important to integrate efficient computational optimization methods in the product development process. Some of the most challenging simulation-based engineering design optimization problems…

Neural and Evolutionary Computing · Computer Science 2018-07-13 Ramses Sala , Niccolo Baldanzini , Marco Pierini

Quantum algorithms are of great interest for their possible use in optimization problems. In particular, variational algorithms that use classical counterparts to optimize parameters hold promise for use in currently existing devices.…

Quantum Physics · Physics 2026-05-13 Bruno Oziel Fernandez , Rodrigo Bloot , Marcelo Moret

Factor analysis and principal component analysis (PCA) are used in many application areas. The first step, choosing the number of components, remains a serious challenge. Our work proposes improved methods for this important problem. One of…

Methodology · Statistics 2019-09-17 Edgar Dobriban , Art B. Owen

Parameterized quantum circuits are a promising technology for achieving a quantum advantage. An important application is the variational simulation of time evolution of quantum systems. To make the most of quantum hardware, variational…

Quantum Physics · Physics 2021-07-28 Marcello Benedetti , Mattia Fiorentini , Michael Lubasch

This paper introduces a novel competitive mechanism into differential evolution (DE), presenting an effective DE variant named competitive DE (CDE). CDE features a simple yet efficient mutation strategy: DE/winner-to-best/1. Essentially,…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Rui Zhong , Yang Cao , Enzhi Zhang , Masaharu Munetomo

Identifying the number of lags to include in an autoregressive model remains an open research problem due to the computational burden of treating it as a hyperparameter, especially in complex models. This study explores model-agnostic…

Methodology · Statistics 2025-09-09 Juan Pablo Montaño , Mario E. Arrieta-Prieto

Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

Numerical Analysis · Mathematics 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

We propose a dynamic multiplicative factor model for process data, which arise from complex problem-solving items, an emerging testing mode in large-scale educational assessment. The proposed model can be viewed as an extension of the…

Methodology · Statistics 2026-02-26 Fangyi Chen , Hok Kan Ling , Zhiliang Ying

A quantum algorithm that solves the time-dependent Dirac equation on a digital quantum computer is developed and analyzed. The time evolution is performed by an operator splitting decomposition technique that allows for a mapping of the…

Quantum Physics · Physics 2017-05-03 F. Fillion-Gourdeau , S. MacLean , R. Laflamme

In this paper, a novel uncertain fractional-orders and parameters' inversion mechanism via the differential evolution algorithms (DE) with a general mathematical model is proposed for non-commensurate and hyper fractional chaotic systems.…

Chaotic Dynamics · Physics 2012-09-10 Fei Gao , Feng-xia Fei , Qian Xu , Yan-fang Deng , Yi-bo Qi

High failure rates in cardiac drug development necessitate virtual clinical trials via electrocardiogram (ECG) generation to reduce risks and costs. However, existing ECG generation models struggle to balance morphological realism with…

Machine Learning · Computer Science 2026-03-31 Qian Shao , Bang Du , Zepeng Li , Qiyuan Chen , Jiahe Chen , Hongxia Xu , Jimeng Sun , Jian Wu , Jintai Chen

Operating matter-wave interferometers as quantum detectors for fundamental physics or inertial sensors with unprecedented accuracies relies on noise rejection, often implemented by correlating multiple sensors. They can be spatially…

Quantum Physics · Physics 2026-05-11 Daniel Derr , Dominik Pfeiffer , Ludwig Lind , Gerhard Birkl , Enno Giese

Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the…

Statistical Mechanics · Physics 2025-12-17 Sudhir Ranjan Jain , Pierre Gaspard

This chapter discusses the development and implementation of algorithms based on Equation-Free/Dynamic Data Driven Applications Systems (EF/DDDAS) protocols for the computer-assisted study of the bifurcation structure of complex dynamical…

Computational Engineering, Finance, and Science · Computer Science 2023-05-05 M. O. Williams , Y. M. Psarellis , D. Pozharskiy , C. Chong , F. Li , J. Yang , P. G. Kevrekidis , I. G. Kevrekidis

Cellular automata are capable of developing complex behaviors based on simple local interactions between their elements. Some of these characteristics have been used to propose and improve meta-heuristics for global optimization; however,…

We study the continuous-time structure of the difference-of-convex algorithm (DCA) for smooth DC decompositions with a strongly convex component. In dual coordinates, classical DCA is exactly the full-step explicit Euler discretization of a…

Optimization and Control · Mathematics 2026-04-09 Yi-Shuai Niu

Differential Evolution (DE) is quite powerful for real parameter single objective optimization. However, the ability of extending or changing search area when falling into a local optimum is still required to be developed in DE for…

Artificial Intelligence · Computer Science 2020-03-03 Chengjun Li , Yang Li

One of the most important quantities characterizing the microscopic properties of quantum systems are dynamical correlation functions. These correlations are obtained by time-evolving a perturbation of an eigenstate of the system, typically…

Quantum Physics · Physics 2025-02-26 Reinis Irmejs , Raul A. Santos

The runtime of evolutionary algorithms (EAs) depends critically on their parameter settings, which are often problem-specific. Automated schemes for parameter tuning have been developed to alleviate the high costs of manual parameter…

Neural and Evolutionary Computing · Computer Science 2016-06-20 Duc-Cuong Dang , Per Kristian Lehre

The automatic design of robots has existed for 30 years but has been constricted by serial non-differentiable design evaluations, premature convergence to simple bodies or clumsy behaviors, and a lack of sim2real transfer to physical…

Robotics · Computer Science 2024-05-28 Luke Strgar , David Matthews , Tyler Hummer , Sam Kriegman
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