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We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground…

统计力学 · 物理学 2020-12-07 Tatsuhiko Shirai , Shu Tanaka , Nozomu Togawa

Electrical machines commonly consist of moving and stationary parts. The field simulation of such devices can be very demanding if the underlying numerical scheme is solely based on a domain discretization, such as in case of the Finite…

计算工程、金融与科学 · 计算机科学 2017-09-18 Lars Kielhorn , Thomas Rüberg , Jürgen Zechner

This work reports on the development of a new approach to the multiscale computational modelling of the focused electron beam-induced deposition (FEBID), realised using the advanced software packages: MBN Explorer and MBN Studio. Our…

计算物理 · 物理学 2025-06-24 Ilia A. Solov'yov , Alexey Prosvetov , Gennady Sushko , Andrey V. Solov'yov

Physics-Informed Machine Learning (PIML) offers a powerful paradigm of integrating data with physical laws to address important scientific problems, such as parameter estimation, inferring hidden physics, equation discovery, and state…

计算工程、金融与科学 · 计算机科学 2025-10-31 Letian Yi , Siyuan Yang , Ying Cui , Zhilu Lai

The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individual shortcomings of data- or physics-only methods. In this…

机器学习 · 计算机科学 2024-04-23 Marcus Haywood-Alexander , Wei Liu , Kiran Bacsa , Zhilu Lai , Eleni Chatzi

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

数值分析 · 数学 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

统计理论 · 数学 2025-12-15 Piotr Bania , Anna Wójcik

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

统计计算 · 统计学 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

机器学习 · 计算机科学 2024-01-30 Joel A. Paulson , Calvin Tsay

We present an efficient B-spline finite element method (FEM) for cloth simulation. While higher-order FEM has long promised higher accuracy, its adoption in cloth simulators has been limited by its larger computational costs while…

图形学 · 计算机科学 2026-05-05 Yuqi Meng , Yihao Shi , Kemeng Huang , Zixuan Lu , Ning Guo , Taku Komura , Yin Yang , Minchen Li

Interactive Machine Learning (IML) seeks to integrate human expertise into machine learning processes. However, most existing algorithms cannot be applied to Realworld Scenarios because their state spaces and/or action spaces are limited to…

机器人学 · 计算机科学 2024-01-24 Nikolaus Feith , Elmar Rueckert

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

最优化与控制 · 数学 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

机器学习 · 统计学 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann

The safety factor profile is a key property in determining the stability of tokamak plasmas. To design the safety factor profile in the United Kingdom's proposed Spherical Tokamak for Energy Production (STEP), we apply multi-objective…

等离子体物理 · 物理学 2024-08-29 Theodore Brown , Stephen Marsden , Vignesh Gopakumar , Alexander Terenin , Hong Ge , Francis Casson

We propose a novel Bayesian optimization (BO) procedure aimed at identifying the ``profile optima'' of a deterministic black-box computer simulation that has a single control parameter and multiple nuisance parameters. The profile optima…

统计方法学 · 统计学 2025-12-30 Courtney Kyger , James Fernandez , John A. Grunenwald , James Braun , Annie Booth

A recent nature inspired optimization algorithm, Fish School Search (FSS) is applied to the finite element model (FEM) updating problem. This method is tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm are…

计算工程、金融与科学 · 计算机科学 2013-08-13 I. Boulkabeit , L. Mthembu , T. Marwala , F. De Lima Neto

Electrical discharge machining (EDM) is a crucial process in precision manufacturing, leveraging electro-thermal energy to remove material without electrode contact. In this study, we delve into the realm of Machine Learning (ML) to enhance…

介观与纳米尺度物理 · 物理学 2026-05-15 Mohsen Asghari Ilani , Yaser Mike Banad

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

计算工程、金融与科学 · 计算机科学 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin

Scientific Machine Learning (SciML) integrates physics and data into the learning process, offering improved generalization compared with purely data-driven models. Despite its potential, applications of SciML in prognostics remain limited,…

机器学习 · 计算机科学 2025-11-04 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , David Pardo , Jose I. Aizpurua