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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

The Bayesian approach to inverse problems is widely used in practice to infer unknown parameters from noisy observations. In this framework, the ensemble Kalman inversion has been successfully applied for the quantification of uncertainties…

Numerical Analysis · Mathematics 2019-10-15 Neil K. Chada , Claudia Schillings , Simon Weissmann

The Kalman Filter (KF) parameters are traditionally determined by noise estimation, since under the KF assumptions, the state prediction errors are minimized when the parameters correspond to the noise covariance. However, noise estimation…

Machine Learning · Computer Science 2022-07-04 Ido Greenberg , Shie Mannor , Netanel Yannay

Kalman filtering can provide an optimal estimation of the system state from noisy observation data. This algorithm's performance depends on the accuracy of system modeling and noise statistical characteristics, which are usually challenging…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Xun Xiao , Junbo Tie , Jinyue Zhao , Ziqi Wang , Yuan Li , Qiang Dou , Lei Wang

Controller tuning based on black-box optimization allows to automatically tune performance-critical parameters w.r.t. mostly arbitrary high-level closed-loop control objectives. However, a comprehensive benchmark of different black-box…

Systems and Control · Electrical Eng. & Systems 2022-11-07 David Stenger , Dirk Abel

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

Artificial Intelligence · Computer Science 2019-02-06 Ruben Martinez-Cantin

Stochastic models in biomolecular contexts can have a state-dependent process noise covariance. The choice of the process noise covariance is an important parameter in the design of a Kalman Filter for state estimation and the theoretical…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Krishan Kumar Gola , Shaunak Sen

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Finding optimal parameter configurations for tunable GPU kernels is a non-trivial exercise for large search spaces, even when automated. This poses an optimization task on a non-convex search space, using an expensive to evaluate function…

Machine Learning · Computer Science 2021-12-01 Floris-Jan Willemsen , Rob van Nieuwpoort , Ben van Werkhoven

In this paper we are concerned with the error-covariance lower-bounding problem in Kalman filtering: a sensor releases a set of measurements to the data fusion/estimation center, which has a perfect knowledge of the dynamic model, to allow…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Niladri Das , Raktim Bhattacharya

Bayesian optimization is a powerful method for automating tuning of compilers. The complex landscape of autotuning provides a myriad of rarely considered structural challenges for black-box optimizers, and the lack of standardized…

Machine Learning · Computer Science 2025-04-09 Jacob O. Tørring , Carl Hvarfner , Luigi Nardi , Magnus Själander

We consider Bayesian optimization of an expensive-to-evaluate black-box objective function, where we also have access to cheaper approximations of the objective. In general, such approximations arise in applications such as reinforcement…

Machine Learning · Statistics 2016-11-16 Matthias Poloczek , Jialei Wang , Peter I. Frazier

Many robotic sensor estimation problems can characterized in terms of nonlinear measurement systems. These systems are contaminated with noise and may be underdetermined from a single observation. In order to get reliable estimation…

Systems and Control · Computer Science 2013-04-11 Greg Hager , Max Mintz

Bayesian optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

Systems and Control · Computer Science 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

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

Bayesian optimization is used in many areas of AI for the optimization of black-box processes and has achieved impressive improvements of the state of the art for a lot of applications. It intelligently explores large and complex design…

Materials Science · Physics 2021-08-03 Lars Kotthoff , Hud Wahab , Patrick Johnson

This paper examines learning the optimal filtering policy, known as the Kalman gain, for a linear system with unknown noise covariance matrices using noisy output data. The learning problem is formulated as a stochastic policy optimization…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Shahriar Talebi , Amirhossein Taghvaei , Mehran Mesbahi

Bayesian optimization is a powerful tool for expensive stochastic black-box optimization problems such as simulation-based optimization or machine learning hyperparameter tuning. Many stochastic objective functions implicitly require a…

Machine Learning · Statistics 2019-10-22 Michael Pearce , Matthias Poloczek , Juergen Branke

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

Machine Learning · Computer Science 2024-01-30 Joel A. Paulson , Calvin Tsay