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Optimal portfolio allocation is often formulated as a constrained risk problem, where one aims to minimize a risk measure subject to some performance constraints. This paper presents new Bayesian Optimization algorithms for such constrained…

Portfolio Management · Quantitative Finance 2025-03-25 Robert Millar , Jinglai Li

We address the problem of Bayesian reinforcement learning using efficient model-based online planning. We propose an optimism-free Bayes-adaptive algorithm to induce deeper and sparser exploration with a theoretical bound on its performance…

Machine Learning · Computer Science 2020-06-30 Divya Grover , Debabrota Basu , Christos Dimitrakakis

We consider a task of surveillance-evading path-planning in a continuous setting. An Evader strives to escape from a 2D domain while minimizing the risk of detection (and immediate capture). The probability of detection is path-dependent…

Machine Learning · Computer Science 2023-02-24 Dongping Qi , David Bindel , Alexander Vladimirsky

Bayesian optimization (BO) is a popular method for optimizing expensive-to-evaluate black-box functions. BO budgets are typically given in iterations, which implicitly assumes each evaluation has the same cost. In fact, in many BO…

Machine Learning · Computer Science 2021-06-14 Eric Hans Lee , David Eriksson , Valerio Perrone , Matthias Seeger

We present a tutorial on Bayesian optimization, a method of finding the maximum of expensive cost functions. Bayesian optimization employs the Bayesian technique of setting a prior over the objective function and combining it with evidence…

Machine Learning · Computer Science 2010-12-14 Eric Brochu , Vlad M. Cora , Nando de Freitas

We investigate modifications to Bayesian Optimization for a resource-constrained setting of sequential experimental design where changes to certain design variables of the search space incur a switching cost. This models the scenario where…

Machine Learning · Computer Science 2024-05-16 Stefan Pricopie , Richard Allmendinger , Manuel Lopez-Ibanez , Clyde Fare , Matt Benatan , Joshua Knowles

A recurring and important task in control engineering is parameter tuning under constraints, which conceptually amounts to optimization of a blackbox function accessible only through noisy evaluations. For example, in control practice…

Systems and Control · Electrical Eng. & Systems 2025-01-24 Christian Fiedler , Johanna Menn , Sebastian Trimpe

Before autonomous systems can be deployed in safety-critical applications, we must be able to understand and verify the safety of these systems. For cases where the risk or cost of real-world testing is prohibitive, we propose a…

Robotics · Computer Science 2023-09-18 Charles Dawson , Chuchu Fan

Bayesian optimisation has proven to be a powerful tool for expensive global black-box optimisation problems. In this paper, we propose new Bayesian optimisation variants of the popular Knowledge Gradient acquisition functions for problems…

Machine Learning · Computer Science 2025-12-22 Xietao Wang Lin , Juan Ungredda , Max Butler , James Town , Alma Rahat , Hemant Singh , Juergen Branke

Bayesian optimization (BO) has proven to be a powerful tool for automatically tuning control parameters without requiring knowledge of the underlying system dynamics. Safe BO methods, in addition, guarantee safety during the optimization…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Antonia Holzapfel , Paul Brunzema , Sebastian Trimpe

This paper considers data-driven chance-constrained stochastic optimization problems in a Bayesian framework. Bayesian posteriors afford a principled mechanism to incorporate data and prior knowledge into stochastic optimization problems.…

Statistics Theory · Mathematics 2023-08-07 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

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

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

Machine Learning · Statistics 2018-10-11 Ricardo Baptista , Matthias Poloczek

Controller tuning and parameter optimization are crucial in system design to improve closed-loop system performance. Bayesian optimization has been established as an efficient model-free controller tuning and adaptation method. However,…

Systems and Control · Electrical Eng. & Systems 2024-04-24 Christopher König , Raamadaas Krishnadas , Efe C. Balta , Alisa Rupenyan

Solving optimal design problems through crowdsourcing faces a dilemma: On one hand, human beings have been shown to be more effective than algorithms at searching for good solutions of certain real-world problems with high-dimensional or…

Machine Learning · Computer Science 2017-04-28 Thurston Sexton , Max Yi Ren

Bayesian optimization (BO) aims to minimize a given blackbox function using a model that is updated whenever new evidence about the function becomes available. Here, we address the problem of BO under partially right-censored response data,…

Artificial Intelligence · Computer Science 2013-10-09 Frank Hutter , Holger Hoos , Kevin Leyton-Brown

Traditional scientific discovery relies on an iterative hypothesise-experiment-refine cycle that has driven progress for centuries, but its intuitive, ad-hoc implementation often wastes resources, yields inefficient designs, and misses…

Bayesian optimization (BO) is a powerful framework for estimating parameters of expensive simulation models, particularly in settings where the likelihood is intractable and evaluations are costly. In stochastic models every simulation is…

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

Methodology · Statistics 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

We target the problem of accuracy and robustness in causal inference from finite data sets. Some state-of-the-art algorithms produce clear output complete with solid theoretical guarantees but are susceptible to propagating erroneous…

Artificial Intelligence · Computer Science 2012-10-19 Tom Claassen , Tom Heskes