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We present a multi-objective evolutionary optimization algorithm that uses Gaussian process (GP) regression-based models to select trial solutions in a multi-generation iterative procedure. In each generation, a surrogate model is…

神经与进化计算 · 计算机科学 2020-05-22 Xiaobiao Huang , Minghao Song , Zhe Zhang

Structured sparsity is an important modeling tool that expands the applicability of convex formulations for data analysis, however it also creates significant challenges for efficient algorithm design. In this paper we investigate the…

最优化与控制 · 数学 2014-10-20 Yaoliang Yu , Xinhua Zhang , Dale Schuurmans

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many…

统计计算 · 统计学 2015-03-13 Hua Zhou , Kenneth Lange , Marc A. Suchard

Gaussian process (GP) models are widely used to analyze spatially referenced data and to predict values at locations without observations. In contrast to many algorithmic procedures, GP models are based on a statistical framework, which…

统计计算 · 统计学 2020-01-01 Florian Gerber , Douglas W. Nychka

In machine learning, nonconvex optimization problems with multiple local optimums are often encountered. Graduated Optimization Algorithm (GOA) is a popular heuristic method to obtain global optimums of nonconvex problems through…

机器学习 · 计算机科学 2017-07-11 Li Chen , Shuisheng Zhou , Zhuan Zhang

Gaussian process (GP) model based optimization is widely applied in simulation and machine learning. In general, it first estimates a GP model based on a few observations from the true response and then employs this model to guide the…

机器学习 · 统计学 2021-07-08 Qun Meng , Songhao Wang , Szu Hui Ng

The Gaussian process (GP) model, which has been extensively applied as priors of functions, has demonstrated excellent performance. The specification of a large number of parameters affects the computational efficiency and the feasibility…

机器学习 · 统计学 2020-02-13 Shisheng Cui , Chia-Jung Chang

The number of cores on graphical computing units (GPUs) is reaching thousands nowadays, whereas the clock speed of processors stagnates. Unfortunately, constraint programming solvers do not take advantage yet of GPU parallelism. One reason…

分布式、并行与集群计算 · 计算机科学 2022-07-26 Pierre Talbot , Frédéric Pinel , Pascal Bouvry

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

分布式、并行与集群计算 · 计算机科学 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

Monte Carlo Localization is a widely used approach in the field of mobile robotics. While this problem has been well studied in the 2D case, global localization in 3D maps with six degrees of freedom has so far been too computationally…

机器人学 · 计算机科学 2023-10-09 Marc Eisoldt , Alexander Mock , Mario Porrmann , Thomas Wiemann

The Gaussian Process (GP) based Chance-Constrained Optimal Power Flow (CC-OPF) is an open-source Python code developed for solving economic dispatch (ED) problem in modern power grids. In recent years, integrating a significant amount of…

This document introduces a set of 24 box-constrained numerical global optimization problem instances, systematically constructed using the Generalized Numerical Benchmark Generator (GNBG). These instances cover a broad spectrum of problem…

最优化与控制 · 数学 2023-12-13 Amir H. Gandomi , Danial Yazdani , Mohammad Nabi Omidvar , Kalyanmoy Deb

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

数值分析 · 数学 2023-09-08 Sergei Manzhos , Manabu Ihara

Distributed algorithms to solve linear equations in multi-agent networks have attracted great research attention and many iteration-based distributed algorithms have been developed. The convergence speed is a key factor to be considered for…

分布式、并行与集群计算 · 计算机科学 2021-07-30 Haodi Ping , Yongcai Wang , Deying Li

Geometric programming (GP) provides a power tool for solving a variety of optimization problems. In the real world, many applications of geometric programming (GP) are engineering design problems in which some of the problem parameters are…

数值分析 · 计算机科学 2010-02-08 A. K. Ojha , A. K. Das

The vast quantity of information brought by big data as well as the evolving computer hardware encourages success stories in the machine learning community. In the meanwhile, it poses challenges for the Gaussian process (GP) regression, a…

机器学习 · 统计学 2019-04-10 Haitao Liu , Yew-Soon Ong , Xiaobo Shen , Jianfei Cai

Graph Generation is a recently introduced enhanced Column Generation algorithm for solving expanded Linear Programming relaxations of mixed integer linear programs without weakening the expanded relaxations which characterize these methods.…

最优化与控制 · 数学 2022-02-04 Julian Yarkony , Amelia Regan

In this paper, we present a computationally efficient trajectory optimizer that can exploit GPUs to jointly compute trajectories of tens of agents in under a second. At the heart of our optimizer is a novel reformulation of the non-convex…

机器人学 · 计算机科学 2020-11-10 Fatemeh Rastgar , Houman Masnavi , Jatan Shrestha , Karl Kruusamae , Alvo Aabloo , Arun Kumar Singh

This work proposes a novel approach to evaluate and analyze the behavior of multi-population parallel genetic algorithms (PGAs) when running on a cluster of multi-core processors. In particular, we deeply study their numerical and…

神经与进化计算 · 计算机科学 2025-08-05 Tomohiro Harada , Enrique Alba , Gabriel Luque

This work presents a GPU-accelerated solver for the unit commitment (UC) problem in large-scale power grids. The solver uses the Primal-Dual Hybrid Gradient (PDHG) algorithm to efficiently solve the relaxed linear subproblem, achieving…

最优化与控制 · 数学 2025-12-09 Hussein Sharadga , Javad Mohammadi