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Bayesian Active Learning (BAL) is an efficient framework for learning the parameters of a model, in which input stimuli are selected to maximize the mutual information between the observations and the unknown parameters. However, the…

Quantitative Methods · Quantitative Biology 2022-12-01 Camille Gontier , Simone Carlo Surace , Igor Delvendahl , Martin Müller , Jean-Pascal Pfister

Bayesian optimisation is a powerful tool to solve expensive black-box problems, but fails when the stationary assumption made on the objective function is strongly violated, which is the case in particular for ill-conditioned or…

Machine Learning · Statistics 2019-12-06 Victor Picheny , Sattar Vakili , Artem Artemev

We present a novel approach to help decision-makers efficiently identify preferred solutions from the Pareto set of a multi-objective optimization problem. Our method uses a Bayesian model to estimate the decision-maker's utility function…

Machine Learning · Statistics 2025-11-13 Felix Huber , Sebastian Rojas Gonzalez , Raul Astudillo

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

Artificial Intelligence · Computer Science 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

Expensive multi-objective optimization problems can be found in many real-world applications, where their objective function evaluations involve expensive computations or physical experiments. It is desirable to obtain an approximate Pareto…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Xi Lin , Zhiyuan Yang , Xiaoyuan Zhang , Qingfu Zhang

In recent years, there is a growing interest in combining techniques attributed to the areas of Statistics and Machine Learning in order to obtain the benefits of both approaches. In this article, the statistical technique lasso for…

Machine Learning · Statistics 2023-09-08 David Delgado , Ernesto Curbelo , Danae Carreras

Classical evolutionary approaches for multiobjective optimization are quite accurate but incur a lot of queries to the objectives; this can be prohibitive when objectives are expensive oracles. A sample-efficient approach to solving…

Optimization and Control · Mathematics 2025-02-18 Ashwin Renganathan , Kade E. Carlson

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

Machine Learning · Statistics 2012-12-04 Xun Huan , Youssef M. Marzouk

State-of-the-art multi-objective optimization often assumes a known utility function, learns it interactively, or computes the full Pareto front-each requiring costly expert input.~Real-world problems, however, involve implicit preferences…

Machine Learning · Computer Science 2025-10-01 Farha A. Khan , Tanmay Chakraborty , Jörg P. Dietrich , Christian Wirth

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

Machine Learning · Computer Science 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce…

Machine Learning · Statistics 2016-02-23 Daniel Hernández-Lobato , José Miguel Hernández-Lobato , Amar Shah , Ryan P. Adams

We introduce a means of automating machine learning (ML) for big data tasks, by performing scalable stochastic Bayesian optimisation of ML algorithm parameters and hyper-parameters. More often than not, the critical tuning of ML algorithm…

Machine Learning · Statistics 2014-07-31 Thomas Nickson , Michael A Osborne , Steven Reece , Stephen J Roberts

Reinforcement learning (RL) aims to find an optimal policy by interaction with an environment. Consequently, learning complex behavior requires a vast number of samples, which can be prohibitive in practice. Nevertheless, instead of…

Machine Learning · Computer Science 2021-11-23 Sarah Müller , Alexander von Rohr , Sebastian Trimpe

Particle accelerators require constant tuning during operation to meet beam quality, total charge and particle energy requirements for use in a wide variety of physics, chemistry and biology experiments. Maximizing the performance of an…

Accelerator Physics · Physics 2021-06-16 Ryan Roussel , Adi Hanuka , Auralee Edelen

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

Machine Learning · Computer Science 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

Bayesian Optimization using Gaussian Processes is a popular approach to deal with the optimization of expensive black-box functions. However, because of the a priori on the stationarity of the covariance matrix of classic Gaussian…

Machine Learning · Statistics 2019-05-10 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

We present a probabilistic model for stochastic iterative algorithms with the use case of optimization algorithms in mind. Based on this model, we present PAC-Bayesian generalization bounds for functions that are defined on the trajectory…

Machine Learning · Computer Science 2024-08-22 Michael Sucker , Peter Ochs

Traditional methods for black box optimization require a considerable number of evaluations which can be time consuming, unpractical, and often unfeasible for many engineering applications that rely on accurate representations and expensive…

Machine Learning · Computer Science 2020-07-10 Francesco Grassi , Giorgio Manganini , Michele Garraffa , Laura Mainini

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

Robotics · Computer Science 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

The safety factor profile is a key property in determining the stability of tokamak plasmas. To design the safety factor profile in the United Kingdom's proposed Spherical Tokamak for Energy Production (STEP), we apply multi-objective…