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In this work we are interested in the construction of numerical methods for high dimensional constrained nonlinear optimization problems by particle-based gradient-free techniques. A consensus-based optimization (CBO) approach combined with…

Optimization and Control · Mathematics 2021-11-23 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

This paper considers Bayesian optimization (BO) for problems with known outer problem structure. In contrast to the classic BO setting, where the objective function itself is unknown and needs to be iteratively estimated from noisy…

Optimization and Control · Mathematics 2025-03-19 Katrin Baumgärtner , Moritz Diehl

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

The closed-loop performance of model predictive controllers (MPCs) is sensitive to the choice of prediction models, controller formulation, and tuning parameters. However, prediction models are typically optimized for prediction accuracy…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Farshud Sorourifar , Georgios Makrygirgos , Ali Mesbah , Joel A. Paulson

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

Disordered Systems and Neural Networks · Physics 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

Causal Bayesian Optimization (CBO) is a methodology designed to optimize an outcome variable by leveraging known causal relationships through targeted interventions. Traditional CBO methods require a fully and accurately specified causal…

Machine Learning · Statistics 2025-03-26 Jean Durand , Yashas Annadani , Stefan Bauer , Sonali Parbhoo

We propose an adaptive optimisation approach for tuning stochastic model predictive control (MPC) hyper-parameters while jointly estimating probability distributions of the transition model parameters based on performance rewards. In…

Robotics · Computer Science 2022-06-02 Rel Guzman , Rafael Oliveira , Fabio Ramos

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

Machine Learning · Statistics 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

Bayesian Optimization (BO) is a class of black-box, surrogate-based heuristics that can efficiently optimize problems that are expensive to evaluate, and hence admit only small evaluation budgets. BO is particularly popular for solving…

Machine Learning · Computer Science 2024-06-25 Maria Laura Santoni , Elena Raponi , Renato De Leone , Carola Doerr

Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations. In BO, Gaussian processes (GPs) are employed as probabilistic surrogate models to estimate the objective…

Machine Learning · Computer Science 2025-04-02 Dongwon Kim , Matteo Zecchin , Sangwoo Park , Joonhyuk Kang , Osvaldo Simeone

Closed-loop performance of sequential decision making algorithms, such as model predictive control, depends strongly on the choice of controller parameters. Bayesian optimization allows learning of parameters from closed-loop experiments,…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Sebastian Hirt , Lukas Theiner , Rolf Findeisen

Learning for control can acquire controllers for novel robotic tasks, paving the path for autonomous agents. Such controllers can be expert-designed policies, which typically require tuning of parameters for each task scenario. In this…

Robotics · Computer Science 2020-08-20 Akshara Rai , Rika Antonova , Franziska Meier , Christopher G. Atkeson

Bayesian optimisation (BO) is a powerful framework for global optimisation of costly functions, using predictions from Gaussian process models (GPs). In this work, we apply BO to functions that exhibit invariance to a known group of…

Machine Learning · Computer Science 2024-10-23 Theodore Brown , Alexandru Cioba , Ilija Bogunovic

Bayesian optimization (BO) is a popular method to optimize costly black-box functions. While traditional BO optimizes each new target task from scratch, meta-learning has emerged as a way to leverage knowledge from related tasks to optimize…

Machine Learning · Computer Science 2024-07-01 Jiarong Pan , Stefan Falkner , Felix Berkenkamp , Joaquin Vanschoren

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Bayesian optimization (BO) is a powerful black-box optimization framework that looks to efficiently learn the global optimum of an unknown system by systematically trading-off between exploration and exploitation. However, the use of BO as…

Optimization and Control · Mathematics 2023-03-28 Dinesh Krishnamoorthy , Joel A. Paulson

We study the problem of tuning the parameters of a room temperature controller to minimize its energy consumption, subject to the constraint that the daily cumulative thermal discomfort of the occupants is below a given threshold. We…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Wenjie Xu , Bratislav Svetozarevic , Loris Di Natale , Philipp Heer , Colin N Jones

Adjustable hyperparameters of machine learning models typically impact various key trade-offs such as accuracy, fairness, robustness, or inference cost. Our goal in this paper is to find a configuration that adheres to user-specified limits…

Machine Learning · Computer Science 2023-12-05 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

Black-box zero-th order optimization is a central primitive for applications in fields as diverse as finance, physics, and engineering. In a common formulation of this problem, a designer sequentially attempts candidate solutions, receiving…

Machine Learning · Computer Science 2024-07-08 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Safe Bayesian optimization (BO) with Gaussian processes is an effective tool for tuning control policies in safety-critical real-world systems, specifically due to its sample efficiency and safety guarantees. However, most safe BO…

Optimization and Control · Mathematics 2025-12-15 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann