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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…

Computation · Statistics 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Discovering optimal designs through sequential data collection is essential in many real-world applications. While Bayesian Optimization (BO) has achieved remarkable success in this setting, growing attention has recently turned to…

Machine Learning · Computer Science 2026-04-22 Chih-Yu Chang , Qiyuan Chen , Tianhan Gao , David Fenning , Chinedum Okwudire , Neil Dasgupta , Wei Lu , Raed Al Kontar

Collaborative Optimization (CO) is a multidisciplinary design optimization (MDO) framework that decomposes large-scale engineering problems into parallel, independently solvable subsystems coordinated by a system-level optimizer. Its…

Optimization and Control · Mathematics 2026-05-08 Mohamed Ali Belhafnaoui , Youssef Diouane

Bayesian optimization (BO) is increasingly employed in critical applications to find the optimal design with minimal cost. While BO is known for its sample efficiency, relying solely on costly high-fidelity data can still result in high…

Artificial Intelligence · Computer Science 2025-03-25 Zahra Zanjani Foumani , Ramin Bostanabad

Bayesian Optimization (BO) is a well-established method for addressing black-box optimization problems. In many real-world scenarios, optimization often involves multiple functions, emphasizing the importance of leveraging data and learned…

Machine Learning · Computer Science 2025-03-11 Khoa Nguyen , Viet Huynh , Binh Tran , Tri Pham , Tin Huynh , Thin Nguyen

Polymeric nano- and micro-scale particles have critical roles in tackling critical healthcare and energy challenges with their miniature characteristics. However, tailoring their synthesis process to meet specific design targets has…

Machine Learning · Computer Science 2025-08-29 Fanjin Wang , Maryam Parhizkar , Anthony Harker , Mohan Edirisinghe

We study Consensus-Based Optimization (CBO) for two-layer neural network training. We compare the performance of CBO against Adam on two test cases and demonstrate how a hybrid approach, combining CBO with Adam, provides faster convergence…

Machine Learning · Computer Science 2025-12-03 William De Deyn , Michael Herty , Giovanni Samaey

We calibrate parameters of neural networks that model forces in interaction dynamics with the help of the Consensus-based global optimization method (CBO). We state the general framework of interaction particle systems driven by neural…

Optimization and Control · Mathematics 2021-09-13 Simone Göttlich , Claudia Totzeck

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

Machine Learning · Computer Science 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

This paper introduces the BOW Planner, a scalable motion planning algorithm designed to navigate robots through complex environments using constrained Bayesian optimization (CBO). Unlike traditional methods, which often struggle with…

Robotics · Computer Science 2026-05-01 Sourav Raxit , Abdullah Al Redwan Newaz , Paulo Padrao , Jose Fuentes , Leonardo Bobadilla

Bayesian optimization (BO) for high-dimensional constrained problems remains a significant challenge due to the curse of dimensionality. We propose Local Constrained Bayesian Optimization (LCBO), a novel framework tailored for such…

Machine Learning · Statistics 2026-03-10 Jing Jingzhe , Fan Zheyi , Szu Hui Ng , Qingpei Hu

In complex real-world settings, optimization is challenged by the presence of diverse models of differing fidelity. In many optimization problems, a single model is treated as the most accurate representation of the underlying system, while…

Machine Learning · Statistics 2026-05-07 Danielle F. Morey , Giulia Pedrielli , Cherry Y. Wakayama , Zelda B. Zabinsky

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

Machine Learning · Computer Science 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

In this letter, we first propose a \underline{Z}eroth-\underline{O}rder c\underline{O}ordinate \underline{M}ethod~(ZOOM) to solve the stochastic optimization problem over a decentralized network with only zeroth-order~(ZO) oracle feedback…

Optimization and Control · Mathematics 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

Computational design problems arise in a number of settings, from synthetic biology to computer architectures. In this paper, we aim to solve data-driven model-based optimization (MBO) problems, where the goal is to find a design input that…

Machine Learning · Computer Science 2021-07-15 Brandon Trabucco , Aviral Kumar , Xinyang Geng , Sergey Levine

For many applications of reinforcement learning it can be more convenient to specify both a reward function and constraints, rather than trying to design behavior through the reward function. For example, systems that physically interact…

Machine Learning · Computer Science 2017-05-31 Joshua Achiam , David Held , Aviv Tamar , Pieter Abbeel

We study the problem of optimizing expensive blackbox functions over combinatorial spaces (e.g., sets, sequences, trees, and graphs). BOCS (Baptista and Poloczek, 2018) is a state-of-the-art Bayesian optimization method for tractable…

Machine Learning · Computer Science 2020-08-20 Aryan Deshwal , Syrine Belakaria , Janardhan Rao Doppa

Derivative-free optimization (DFO) is the mathematical study of the optimization algorithms that do not use derivatives. One branch of DFO focuses on model-based DFO methods, where an approximation of the objective function is used to guide…

Numerical Analysis · Mathematics 2016-12-16 Warren Hare

Contextual Bayesian optimization (CBO) is a powerful framework for sequential decision-making given side information, with important applications, e.g., in wind energy systems. In this setting, the learner receives context (e.g., weather…

Machine Learning · Statistics 2022-10-18 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Andreas Krause , Ilija Bogunovic

This paper studies consensus-based decentralized stochastic optimization for minimizing possibly non-convex expected objectives with convex non-smooth regularizers and nonlinear functional inequality constraints. We reformulate the…

Optimization and Control · Mathematics 2026-01-29 Shivangi Dubey Sharma , Basil M. Idrees , Lavish Arora , Ketan Rajawat
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