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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 propose the combination of forward shape derivatives and the use of an iterative inversion scheme for Bayesian optimization to find optimal designs of nanophotonic devices. This approach widens the range of applicability of Bayesian…

Computational Physics · Physics 2021-01-12 Xavier Garcia-Santiago , Sven Burger , Carsten Rockstuhl , Philipp-Immanuel Schneider

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

Numerical Analysis · Mathematics 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

In an indirect Gaussian sequence space model lower and upper bounds are derived for the concentration rate of the posterior distribution of the parameter of interest shrinking to the parameter value $\theta^\circ$ that generates the data.…

Statistics Theory · Mathematics 2015-02-03 Jan Johannes , Anna Simoni , Rudolf Schenk

Many contemporary machine learning models require extensive tuning of hyperparameters to perform well. A variety of methods, such as Bayesian optimization, have been developed to automate and expedite this process. However, tuning remains…

Machine Learning · Computer Science 2020-02-25 Setareh Ariafar , Zelda Mariet , Ehsan Elhamifar , Dana Brooks , Jennifer Dy , Jasper Snoek

\noindent Hyper-parameter selection is a central practical problem in modern machine learning, governing regularization strength, model capacity, and robustness choices. Cross-validation is often computationally prohibitive at scale, while…

Machine Learning · Statistics 2025-12-24 Hedibert Lopes , Nick Polson , Vadim Sokolov

Bayesian optimization is a methodology to optimize black-box functions. Traditionally, it focuses on the setting where you can arbitrarily query the search space. However, many real-life problems do not offer this flexibility; in…

Bayesian model selection methods provide a self-consistent probabilistic framework to test the validity of competing scenarios given a set of data. We present a case study application to strong gravitational lens parametric models. Our goal…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-22 Irène Balmès , Pier-Stefano Corasaniti

Bayesian Optimization is an effective method for searching the global maxima of an objective function especially if the function is unknown. The process comprises of using a surrogate function and choosing an acquisition function followed…

Machine Learning · Computer Science 2021-11-10 Ashish Anil Pawar , Ujwal Warbhe

We have evaluated the data-efficient Bayesian optimization method for the specific task of injection tuning in a circular accelerator. In this paper, we describe the implementation of this method at the Karlsruhe Research Accelerator with…

Controller tuning is a labor-intensive process that requires human intervention and expert knowledge. Bayesian optimization has been applied successfully in different fields to automate this process. However, when tuning on hardware, such…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Johanna Menn , Pietro Pelizzari , Michael Fleps-Dezasse , Sebastian Trimpe

We study Bayesian inference methods for solving linear inverse problems, focusing on hierarchical formulations where the prior or the likelihood function depend on unspecified hyperparameters. In practice, these hyperparameters are often…

Numerical Analysis · Mathematics 2018-08-01 Qingping Zhou , Wenqing Liu , Jinglai Li , Youssef M. Marzouk

In a Gaussian graphical model, the conditional independence between two variables are characterized by the corresponding zero entries in the inverse covariance matrix. Maximum likelihood method using the smoothly clipped absolute deviation…

Methodology · Statistics 2009-09-07 Xin Gao , Daniel Q. Pu , Yuehua Wu , Hong Xu

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

Several approaches exist to model gravitational lens systems. In this study, we apply global optimization methods to find the optimal set of lens parameters using a genetic algorithm. We treat the full optimization procedure as a two-step…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Adam Rogers , Jason D. Fiege

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

Dynamical Systems · Mathematics 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

We consider the problem of transforming samples from one continuous source distribution into samples from another target distribution. We demonstrate with optimal transport theory that when the source distribution can be easily sampled from…

Machine Learning · Statistics 2015-09-30 Sanggyun Kim , Diego Mesa , Rui Ma , Todd P. Coleman

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

Machine Learning · Computer Science 2023-04-04 Afonso Eduardo , Michael U. Gutmann

Bayesian Optimization, leveraging Gaussian process models, has proven to be a powerful tool for minimizing expensive-to-evaluate objective functions by efficiently exploring the search space. Extensions such as constrained Bayesian…

Computation · Statistics 2025-06-03 Yezhuo Li , Qiong Zhang , Madhura Limaye , Gang Li

This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

Computation · Statistics 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas