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First-order algorithms have been popular for solving convex and non-convex optimization problems. A key assumption for the majority of these algorithms is that the gradient of the objective function is globally Lipschitz continuous, but…

最优化与控制 · 数学 2024-02-07 Junyu Zhang , Mingyi Hong

Reliability-based design optimization (RBDO) is traditionally formulated as a nested optimization and reliability problem. Although surrogate models are generally employed to improve efficiency, the approach remains computationally…

统计计算 · 统计学 2026-04-08 M. Moustapha , B. Sudret

Recently, intelligent scheduling approaches using surrogate models have been proposed to efficiently allocate volatile tasks in heterogeneous fog environments. Advances like deterministic surrogate models, deep neural networks (DNN) and…

分布式、并行与集群计算 · 计算机科学 2021-12-17 Shreshth Tuli , Giuliano Casale , Nicholas R. Jennings

Recent advances in derivative-free optimization allow efficient approximation of the global-optimal solutions of sophisticated functions, such as functions with many local optima, non-differentiable and non-continuous functions. This…

机器学习 · 计算机科学 2022-09-28 Yu-Ren Liu , Yi-Qi Hu , Hong Qian , Chao Qian , Yang Yu

We present a data-driven Bayesian nonparametric approach for global optimization (DaBNO) of stochastic black-box function. The function value depends on the distribution of a random vector. However, this distribution is usually complex and…

最优化与控制 · 数学 2024-02-28 Haowei Wang , Xun Zhang , Szu Hui Ng , Songhao Wang

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

最优化与控制 · 数学 2013-01-08 Enlu Zhou , Jiaqiao Hu

We present a reformulation of stochastic global optimization as a filtering problem. The motivation behind this reformulation comes from the fact that for many optimization problems we cannot evaluate exactly the objective function to be…

数值分析 · 数学 2009-12-22 Panagiotis Stinis

Continuous p-dispersion problems with and without boundary constraints are NP-hard optimization problems with numerous real-world applications, notably in facility location and circle packing, which are widely studied in mathematics and…

最优化与控制 · 数学 2024-05-28 Xiangjing Lai , Zhenheng Lin , Jin-Kao Hao , Qinghua Wu

This article presents a generic method to solve 2D multi-objective placement problem for free-form components. The proposed method is a relaxed placement technique combined with an hybrid algorithm based on a genetic algorithm and a…

经典物理 · 物理学 2010-06-01 Guillaume Jacquenot , Fouad Bennis , Jean-Jacques Maisonneuve , Philippe Wenger

In this paper, we consider derivative free optimization problems, where the objective function is smooth but is computed with some amount of noise, the function evaluations are expensive and no derivative information is available. We are…

最优化与控制 · 数学 2019-06-05 Albert S Berahas , Liyuan Cao , Krzysztof Choromanski , Katya Scheinberg

The exploration of novel architectures requires physics-based simulation due to a lack of prior experience to start from, which introduces two specific challenges for optimization algorithms: evaluations become more expensive (in time) and…

机器学习 · 计算机科学 2025-04-14 Jasper Bussemaker , Paul Saves , Nathalie Bartoli , Thierry Lefebvre , Björn Nagel

The superiorization methodology is intended to work with input data of constrained minimization problems, that is, a target function and a set of constraints. However, it is based on an antipodal way of thinking to what leads to constrained…

最优化与控制 · 数学 2020-10-26 Yair Censor , Edgar Garduño , Elias S. Helou , Gabor T. Herman

In this paper we discuss Grover Adaptive Search (GAS) for Constrained Polynomial Binary Optimization (CPBO) problems, and in particular, Quadratic Unconstrained Binary Optimization (QUBO) problems, as a special case. GAS can provide a…

量子物理 · 物理学 2021-06-08 Austin Gilliam , Stefan Woerner , Constantin Gonciulea

Ensuring safety in industrial control systems usually involves imposing constraints at the design stage of the control algorithm. Enforcing constraints is challenging if the underlying functional form is unknown. The challenge can be…

最优化与控制 · 数学 2023-06-09 Marta Zagorowska , Efe C. Balta , Varsha Behrunani , Alisa Rupenyan , John Lygeros

This paper shows how a class of non-convex optimization problems constrained by discretized nonlinear partial differential equations may be solved to global optimality using an interior point continuation method. The solution procedure…

最优化与控制 · 数学 2020-03-13 Jorn Baayen , Teresa Piovesan , Jesse VanderWees

In this paper, Lipschitz univariate constrained global optimization problems where both the objective function and constraints can be multiextremal are considered. The constrained problem is reduced to a discontinuous unconstrained problem…

最优化与控制 · 数学 2015-03-19 Yaroslav D. Sergeyev , Domenico Famularo , Paolo Pugliese

Gradient-based optimization is now ubiquitous across graphics, but unfortunately can not be applied to problems with undefined or zero gradients. To circumvent this issue, the loss function can be manually replaced by a ``surrogate'' that…

计算机视觉与模式识别 · 计算机科学 2024-05-08 Michael Fischer , Tobias Ritschel

We present DDTO--deferred-decision trajectory optimization--a framework for trajectory generation with resilience to unmodeled uncertainties and contingencies. The key idea is to ensure that a collection of candidate targets is reachable…

最优化与控制 · 数学 2025-02-11 Purnanand Elango , Selahattin Burak Sarsilmaz , Behcet Acikmese

We study the convergence of a variant of distributed gradient descent (DGD) on a distributed low-rank matrix approximation problem wherein some optimization variables are used for consensus (as in classical DGD) and some optimization…

最优化与控制 · 数学 2018-12-27 Zhihui Zhu , Qiuwei Li , Xinshuo Yang , Gongguo Tang , Michael B. Wakin