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To solve large-scale or high-resolution topology optimization problem, a novel algorithm is developed based on modified bi-directional evolutionary structure optimization (BESO) and extended finite element method (XFEM). Within XFEM, a set…

Applied Physics · Physics 2026-04-07 Hongxin Wang , Jie Liu , Guilin Wen

The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material distribution concept. The typical methods of the topology…

Computational Engineering, Finance, and Science · Computer Science 2013-09-24 Jun-ichi Koga , Jiro Koga , Shunji Homma

Maximizing a target variable as an operational objective within a structural causal model is a fundamental problem. Causal Bayesian Optimization (CBO) approaches typically achieve this either by performing interventions that modify the…

Machine Learning · Computer Science 2026-02-02 Shaogang Ren , Zihao Wang , Yuzhou Chen , Xiaoning Qian

Consensus-based optimization (CBO) is a powerful and versatile zero-order multi-particle method designed to provably solve high-dimensional global optimization problems, including those that are genuinely nonconvex or nonsmooth. The method…

Optimization and Control · Mathematics 2026-02-13 Massimo Fornasier , Hui Huang , Jona Klemenc , Greta Malaspina

Bayesian optimization (BO) is a model-based approach to sequentially optimize expensive black-box functions, such as the validation error of a deep neural network with respect to its hyperparameters. In many real-world scenarios, the…

Machine Learning · Statistics 2019-10-17 Valerio Perrone , Iaroslav Shcherbatyi , Rodolphe Jenatton , Cedric Archambeau , Matthias Seeger

A new approach to the solution of boundary value problems within the so-called fictitious domain methods philosophy is proposed which avoids well known shortcomings of other fictitious domain methods, including the need to generate…

Numerical Analysis · Mathematics 2019-01-17 Daniel Agress , Patrick Guidotti

In high-dimensional settings, Bayesian optimization (BO) can be expensive and infeasible. The random embedding Bayesian optimization algorithm is commonly used to address high-dimensional BO challenges. However, this method relies on the…

Machine Learning · Computer Science 2024-08-12 Jiaming Lu , Rong J. B. Zhu

In this paper we propose a novel methodology to assist in identifying vulnerabilities in a real-world complex heterogeneous industrial control systems (ICS) using two evolutionary multiobjective optimisation (EMO) algorithms, NSGA-II and…

Cryptography and Security · Computer Science 2020-05-28 Nilufer Tuptuk , Stephen Hailes

In gradient-based time domain topology optimization, design sensitivity analysis (DSA) of the dynamic response is essential, and requires high computational cost to directly differentiate, especially for high-order dynamic system. To…

Numerical Analysis · Mathematics 2023-08-22 Shuhao Li , Hu Wang , Jichao Yin , Xinchao Jiang , Yaya Zhang

We critically assess the performance of several variants of dual and dual-primal domain decomposition strategies in problems with fixed subdomain partitioning and high heterogeneity in stiffness coefficients typically arising in topology…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Tomáš Medřický , Martin Doškář , Ivana Pultarová , Jan Zeman

This work proposes an evolutionary computing-based image segmentation approach for analyzing soundness in Additive Friction Stir Deposition (AFSD) processes. Particle Swarm Optimization (PSO) was employed to determine optimal segmentation…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Akshansh Mishra , Eyob Mesele Sefene , Shivraman Thapliyal

Bayesian optimization (BO) is one of the most powerful strategies to solve computationally expensive-to-evaluate blackbox optimization problems. However, BO methods are conventionally used for optimization problems of small dimension…

Optimization and Control · Mathematics 2025-02-10 Rémy Priem , Youssef Diouane , Nathalie Bartoli , Sylvain Dubreuil , Paul Saves

The concurrent optimization of topology and fibre orientation is a promising approach to pursue higher strength and lighter weight of variable-stiffness structure. This study proposes a novel discrete-continuous scheme for the concurrent…

Geometric Topology · Mathematics 2023-06-22 Yaya Zhanga , Hu Wang , Jichao Yin , Shuhao Li , Mengzhu Yang

The goal of Feature Selection - comprising filter, wrapper, and embedded approaches - is to find the optimal feature subset for designated downstream tasks. Nevertheless, current feature selection methods are limited by: 1) the selection…

Machine Learning · Computer Science 2023-09-18 Meng Xiao , Dongjie Wang , Min Wu , Pengfei Wang , Yuanchun Zhou , Yanjie Fu

This article presents a high order conservative flux optimization (CFO) finite element method for the elliptic diffusion equations. The numerical scheme is based on the classical Galerkin finite element method enhanced by a flux…

Numerical Analysis · Mathematics 2019-11-13 Yujie Liu , Yue Feng , Ran Zhang

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

In this paper, we study the conditional stochastic optimization (CSO) problem which covers a variety of applications including portfolio selection, reinforcement learning, robust learning, causal inference, etc. The sample-averaged gradient…

Machine Learning · Computer Science 2023-12-05 Lie He , Shiva Prasad Kasiviswanathan

Making high-quality decisions in strategic spatial planning is heavily dependent on extracting knowledge from vast amounts of data. Although many decision-making problems like developing urban areas require such perception and reasoning,…

Artificial Intelligence · Computer Science 2017-04-24 Amir Hossein Goudarzi , Nasser Ghadiri

Topology optimization (TO) is a common technique used in free-form designs. However, conventional TO-based design approaches suffer from high computational cost due to the need for repetitive forward calculations and/or sensitivity…

Artificial Intelligence · Computer Science 2020-09-15 Chao Qian , Wenjing Ye

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

Machine Learning · Computer Science 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner
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