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Gaussian process regression is a well-established Bayesian machine learning method. We propose a new approach to Gaussian process regression using quantum kernels based on parameterized quantum circuits. By employing a hardware-efficient…

量子物理 · 物理学 2024-02-06 Frederic Rapp , Marco Roth

Bayesian optimization (BO) has demonstrated potential for optimizing control performance in data-limited settings, especially for systems with unknown dynamics or unmodeled performance objectives. The BO algorithm efficiently trades-off…

机器学习 · 计算机科学 2022-11-02 Ankush Chakrabarty

Many real-world multi-objective optimisation problems rely on computationally expensive function evaluations. Multi-objective Bayesian optimisation (BO) can be used to alleviate the computation time to find an approximated set of Pareto…

机器学习 · 统计学 2022-04-29 Tinkle Chugh

Bayesian posterior distributions arising in modern applications, including inverse problems in partial differential equation models in tomography and subsurface flow, are often computationally intractable due to the large computational cost…

机器学习 · 统计学 2023-02-10 Tapio Helin , Andrew Stuart , Aretha Teckentrup , Konstantinos Zygalakis

In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model $y$ with a surrogate model $y_s$ that can be evaluated quickly leads to a significant speedup. The…

数值分析 · 数学 2024-05-15 Phillip Semler , Martin Weiser

We present an optimizer which uses Bayesian optimization to tune the system parameters of distributed stochastic gradient descent (SGD). Given a specific context, our goal is to quickly find efficient configurations which appropriately…

机器学习 · 统计学 2016-12-04 Valentin Dalibard , Michael Schaarschmidt , Eiko Yoneki

Surrogate models are used to alleviate the computational burden in engineering tasks, which require the repeated evaluation of computationally demanding models of physical systems, such as the efficient propagation of uncertainties. For…

机器学习 · 统计学 2022-09-28 Felix Schneider , Iason Papaioannou , Gerhard Müller

In the field of machine learning (ML) for materials optimization, active learning algorithms, such as Bayesian Optimization (BO), have been leveraged for guiding autonomous and high-throughput experimentation systems. However, very few…

Latent space models (LSMs) are often used to analyze dynamic (time-varying) networks that evolve in continuous time. Existing approaches to Bayesian inference for these models rely on Markov chain Monte Carlo algorithms, which cannot handle…

统计方法学 · 统计学 2024-01-19 Joshua Daniel Loyal

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

机器学习 · 统计学 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to…

最优化与控制 · 数学 2026-05-14 André L. Marchildon , David W. Zingg

Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

人工智能 · 计算机科学 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

We propose a practical Bayesian optimization method using Gaussian process regression, of which the marginal likelihood is maximized where the number of model selection steps is guided by a pre-defined threshold. Since Bayesian optimization…

机器学习 · 统计学 2020-10-19 Jungtaek Kim , Seungjin Choi

Posterior sampling for high-dimensional Bayesian inverse problems is a common challenge in real-world applications. Randomized Maximum Likelihood (RML) is an optimization based methodology that gives samples from an approximation to the…

统计计算 · 统计学 2024-09-05 Valentin Breaz , Richard Wilkinson

Bayesian optimization (BO) is a sequential decision-making tool widely used for optimizing expensive black-box functions. Recently, Large Language Models (LLMs) have shown remarkable adaptability in low-data regimes, making them promising…

机器学习 · 计算机科学 2025-10-10 Chih-Yu Chang , Milad Azvar , Chinedum Okwudire , Raed Al Kontar

The application of the lasso is espoused in high-dimensional settings where only a small number of the regression coefficients are believed to be nonzero. Moreover, statistical properties of high-dimensional lasso estimators are often…

统计方法学 · 统计学 2015-01-07 Bala Rajaratnam , Steven Roberts , Doug Sparks , Onkar Dalal

Extending Bayesian optimization to batch evaluation can enable the designer to make the most use of parallel computing technology. However, most of current batch approaches do not scale well with the batch size. That is, their performances…

机器学习 · 计算机科学 2025-04-25 Dawei Zhan , Zhaoxi Zeng , Shuoxiao Wei , Ping Wu

The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows the formulation of expert knowledge or physical constraints in a probabilistic fashion and plays an important role for the…

机器学习 · 统计学 2022-11-08 Manuel Marschall , Gerd Wübbeler , Franko Schmähling , Clemens Elster

The purpose of this paper is twofold. On one side, we present a general framework for Bayesian optimization and we compare it with some related fields in active learning and Bayesian numerical analysis. On the other hand, Bayesian…

机器人学 · 计算机科学 2018-02-13 Ruben Martinez-Cantin

This work studies how an AI-controlled dog-fighting agent with tunable decision-making parameters can learn to optimize performance against an intelligent adversary, as measured by a stochastic objective function evaluated on simulated…

机器学习 · 计算机科学 2017-08-01 Brett W. Israelsen , Nisar Ahmed , Kenneth Center , Roderick Green , Winston Bennett