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Gaussian processes are the model of choice in Bayesian optimization and active learning. Yet, they are highly dependent on cleverly chosen hyperparameters to reach their full potential, and little effort is devoted to finding good…

Machine Learning · Computer Science 2024-02-16 Carl Hvarfner , Erik Hellsten , Frank Hutter , Luigi Nardi

Bayesian optimization (BO) is a powerful approach to sample-efficient optimization of black-box functions. However, in settings with very few function evaluations, a successful application of BO may require transferring information from…

Machine Learning · Computer Science 2024-09-10 Aryan Deshwal , Sait Cakmak , Yuhou Xia , David Eriksson

A long-standing belief holds that Bayesian Optimization (BO) with standard Gaussian processes (GP) -- referred to as standard BO -- underperforms in high-dimensional optimization problems. While this belief seems plausible, it lacks both…

Machine Learning · Computer Science 2025-03-12 Zhitong Xu , Haitao Wang , Jeff M Phillips , Shandian Zhe

We present HIghly Parallelisable Pareto Optimisation (HIPPO) -- a batch acquisition function that enables multi-objective Bayesian optimisation methods to efficiently exploit parallel processing resources. Multi-Objective Bayesian…

Machine Learning · Computer Science 2022-06-28 Andrei Paleyes , Henry B. Moss , Victor Picheny , Piotr Zulawski , Felix Newman

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

Machine Learning · Statistics 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

Optimizing multiple competing black-box objectives is a challenging problem in many fields, including science, engineering, and machine learning. Multi-objective Bayesian optimization (MOBO) is a sample-efficient approach for identifying…

Machine Learning · Computer Science 2021-10-28 Samuel Daulton , Maximilian Balandat , Eytan Bakshy

Despite recent progress in constructing generalizable parallel algorithm portfolios (PAPs), no general-purpose approach is yet available for multi-objective binary optimization problems (MOBOPs). To fill this gap, this paper proposes…

Neural and Evolutionary Computing · Computer Science 2026-05-18 Zhiyuan Wang , Shengcai Liu , Shaofeng Zhang , Ke Tang

Attributed graphs, which contain rich contextual features beyond just network structure, are ubiquitous and have been observed to benefit various network analytics applications. Graph structure optimization, aiming to find the optimal…

Machine Learning · Computer Science 2019-06-03 Jiaxu Cui , Bo Yang , Xia Hu

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

Bayesian optimization (BO) has been widely used in machine learning and simulation optimization. With the increase in computational resources and storage capacities in these fields, high-dimensional and large-scale problems are becoming…

Machine Learning · Computer Science 2022-06-02 Haowei Wang , Ercong Zhang , Szu Hui Ng , Giulia Pedrielli

Multi-objective optimization (MOO) aims to optimize multiple, possibly conflicting objectives with widespread applications. We introduce a novel interacting particle method for MOO inspired by molecular dynamics simulations. Our approach…

Machine Learning · Computer Science 2024-11-22 Yinuo Ren , Tesi Xiao , Tanmay Gangwani , Anshuka Rangi , Holakou Rahmanian , Lexing Ying , Subhajit Sanyal

Bayesian optimization (BO) has been widely used to optimize expensive and gradient-free objective functions across various domains. However, existing BO methods have not addressed the objective where both inputs and outputs are functions,…

Machine Learning · Statistics 2025-12-11 Jingru Huang , Haijie Xu , Manrui Jiang , Chen Zhang

In Symbolic Regression (SR), achieving a proper balance between accuracy and interpretability remains a key challenge. The Genetic Programming variant of the Gene-pool Optimal Mixing Evolutionary Algorithm (GP-GOMEA) is of particular…

Neural and Evolutionary Computing · Computer Science 2025-07-08 Joe Harrison , Tanja Alderliesten. Peter A. N. Bosman

Motivated by the increasing concern about privacy in nowadays data-intensive online learning systems, we consider a black-box optimization in the nonparametric Gaussian process setting with local differential privacy (LDP) guarantee.…

Machine Learning · Computer Science 2020-10-15 Xingyu Zhou , Jian Tan

Most of the existing robotic exploration schemes use occupancy grid representations and geometric targets known as frontiers. The occupancy grid representation relies on the assumption of independence between grid cells and ignores…

Robotics · Computer Science 2019-05-22 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

Machine Learning · Computer Science 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

Operator learning offers a powerful paradigm for solving parametric partial differential equations (PDEs), but scaling probabilistic neural operators such as the recently proposed Gaussian Processes Operators (GPOs) to high-dimensional,…

Machine Learning · Statistics 2025-06-23 Sawan Kumar , Tapas Tripura , Rajdip Nayek , Souvik Chakraborty

Preferential Bayesian optimisation (PBO) deals with optimisation problems where the objective function can only be accessed via preference judgments, such as "this is better than that" between two candidate solutions (like in A/B tests or…

Machine Learning · Computer Science 2021-04-02 Alessio Benavoli , Dario Azzimonti , Dario Piga

Bayesian Optimization is an iterative method, tailored to optimizing expensive black box objective functions. Surrogate models like Gaussian Processes, which are the gold standard in Bayesian Optimization, can be inefficient for inputs with…

Machine Learning · Computer Science 2026-05-22 Sofianos Panagiotis Fotias , Vassilis Gaganis

We introduce new Gaussian Process (GP) high-order approximations to linear operations that are frequently used in various numerical methods. Our method employs the kernel-based GP regression modeling, a non-parametric Bayesian approach to…

Computational Physics · Physics 2025-06-09 Christopher DeGrendele , Dongwook Lee