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Information-theoretic Bayesian optimisation techniques have demonstrated state-of-the-art performance in tackling important global optimisation problems. However, current information-theoretic approaches require many approximations in…

机器学习 · 统计学 2018-06-07 Binxin Ru , Mark McLeod , Diego Granziol , Michael A. Osborne

High-dimensional simulation optimization is notoriously challenging. We propose a new sampling algorithm that converges to a global optimal solution and suffers minimally from the curse of dimensionality. The algorithm consists of two…

机器学习 · 统计学 2021-07-21 Liang Ding , Rui Tuo , Xiaowei Zhang

This paper proposes an automatic controller tuning framework based on linear optimal control combined with Bayesian optimization. With this framework, an initial set of controller gains is automatically improved according to a pre-defined…

机器人学 · 计算机科学 2017-09-21 Alonso Marco , Philipp Hennig , Jeannette Bohg , Stefan Schaal , Sebastian Trimpe

Bayesian optimization (BO) is a powerful approach to sample-efficient optimization of black-box objective functions. However, the application of BO to areas such as recommendation systems often requires taking the interpretability and…

机器学习 · 计算机科学 2023-03-06 Sulin Liu , Qing Feng , David Eriksson , Benjamin Letham , Eytan Bakshy

Deep learning models are full of hyperparameters, which are set manually before the learning process can start. To find the best configuration for these hyperparameters in such a high dimensional space, with time-consuming and expensive…

机器学习 · 计算机科学 2021-07-05 Daniel T. Chang

Bayesian optimization (BO) is a popular approach for sample-efficient optimization of black-box objective functions. While BO has been successfully applied to a wide range of scientific applications, traditional approaches to…

机器学习 · 计算机科学 2023-05-04 Natalie Maus , Kaiwen Wu , David Eriksson , Jacob Gardner

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…

机器学习 · 计算机科学 2020-06-30 Divya Grover , Debabrota Basu , Christos Dimitrakakis

The performance of Bayesian optimization (BO), a highly sample-efficient method for expensive black-box problems, is critically governed by the selection of its hyperparameters, including the kernel and acquisition functions. This presents…

机器学习 · 计算机科学 2026-05-25 Joon-Hyun Park , Mujin Cheon , Jeongsu Wi , Dong-Yeun Koh

One way to reduce the time of conducting optimization studies is to evaluate designs in parallel rather than just one-at-a-time. For expensive-to-evaluate black-boxes, batch versions of Bayesian optimization have been proposed. They work by…

最优化与控制 · 数学 2023-04-04 Mickael Binois , Nicholson Collier , Jonathan Ozik

Bayesian hierarchical models have been demonstrated to provide efficient algorithms for finding sparse solutions to ill-posed inverse problems. The models comprise typically a conditionally Gaussian prior model for the unknown, augmented by…

数值分析 · 数学 2023-03-31 Daniela Calvetti , Erkki Somersalo

Bayesian Optimisation (BO) methods seek to find global optima of objective functions which are only available as a black-box or are expensive to evaluate. Such methods construct a surrogate model for the objective function, quantifying the…

机器学习 · 统计学 2023-01-10 Enrico Crovini , Simon L. Cotter , Konstantinos Zygalakis , Andrew B. Duncan

Automatic cubatures approximate multidimensional integrals to user-specified error tolerances. For high dimensional problems, it makes sense to fix the sampling density but determine the sample size, $n$, automatically. Bayesian cubature…

数值分析 · 数学 2021-02-16 R. Jagadeeswaran , Fred J. Hickernell

We present Bencher, a modular benchmarking framework for black-box optimization that fundamentally decouples benchmark execution from optimization logic. Unlike prior suites that focus on combining many benchmarks in a single project,…

机器学习 · 计算机科学 2025-05-28 Leonard Papenmeier , Luigi Nardi

Portfolio optimization involves selecting asset weights to minimize a risk-reward objective, such as the portfolio variance in the classical minimum-variance framework. Sparse portfolio selection extends this by imposing a cardinality…

机器学习 · 统计学 2025-05-16 Sarat Moka , Matias Quiroz , Vali Asimit , Samuel Muller

Quadratic constrained quadratic programming problems often occur in various fields such as engineering practice, management science, and network communication. This article mainly studies a non convex quadratic programming problem with…

最优化与控制 · 数学 2023-12-29 Bo Zhang , YueLin Gao , Xia Liu , XiaoLi Huang

We introduce an optimisation method for variational quantum algorithms and experimentally demonstrate a 100-fold improvement in efficiency compared to naive implementations. The effectiveness of our approach is shown by obtaining…

This paper introduces a Moment-Quaternion-Sum-of-Squares (QSOS) hierarchy for solving a class of quaternion polynomial optimization problems. This hierarchy is formulated directly in the quaternion domain and consists of a sequence of…

最优化与控制 · 数学 2026-05-13 Yanqing Liu , Jie Wang

Selecting the optimal combination of a machine learning (ML) algorithm and its hyper-parameters is crucial for the development of high-performance ML systems. However, since the combination of ML algorithms and hyper-parameters is enormous,…

机器学习 · 计算机科学 2025-02-14 Kazuki Ishikawa , Ryota Ozaki , Yohei Kanzaki , Ichiro Takeuchi , Masayuki Karasuyama

Many real world applications can be framed as multi-objective optimization problems, where we wish to simultaneously optimize for multiple criteria. Bayesian optimization techniques for the multi-objective setting are pertinent when the…

机器学习 · 计算机科学 2019-06-24 Biswajit Paria , Kirthevasan Kandasamy , Barnabás Póczos

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

机器学习 · 计算机科学 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy