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The key task of physical simulation is to solve partial differential equations (PDEs) on discretized domains, which is known to be costly. In particular, high-fidelity solutions are much more expensive than low-fidelity ones. To reduce the…

机器学习 · 统计学 2020-06-11 Zheng Wang , Wei Xing , Robert Kirby , Shandian Zhe

Multi-armed bandit algorithms provide solutions for sequential decision-making where learning takes place by interacting with the environment. In this work, we model a distributed optimization problem as a multi-agent kernelized multi-armed…

机器学习 · 计算机科学 2023-12-11 Ayush Rai , Shaoshuai Mou

Most algorithms for the multi-armed bandit problem in reinforcement learning aimed to maximize the expected reward, which are thus useful in searching the optimized candidate with the highest reward (function value) for diverse applications…

机器学习 · 计算机科学 2022-01-03 Bin Chong , Yingguang Yang , Zi-Le Wang , Hang Xing , Zhirong Liu

I present the first algorithm for stochastic finite-armed bandits that simultaneously enjoys order-optimal problem-dependent regret and worst-case regret. Besides the theoretical results, the new algorithm is simple, efficient and…

机器学习 · 计算机科学 2016-02-25 Tor Lattimore

Bayesian optimization is widely used for optimizing expensive black box functions, but most existing approaches focus on scalar responses. In many scientific and engineering settings the response is functional, varying smoothly over an…

机器学习 · 计算机科学 2026-04-28 Pouya Ahadi , Reza Marzban , Ali Adibi , Kamran Paynabar

Federated multi-armed bandits (FMAB) is a new bandit paradigm that parallels the federated learning (FL) framework in supervised learning. It is inspired by practical applications in cognitive radio and recommender systems, and enjoys…

机器学习 · 计算机科学 2021-03-04 Chengshuai Shi , Cong Shen

Gaussian process optimization is a successful class of algorithms(e.g. GP-UCB) to optimize a black-box function through sequential evaluations. However, for functions with continuous domains, Gaussian process optimization has to rely on…

机器学习 · 计算机科学 2022-03-15 Marco Rando , Luigi Carratino , Silvia Villa , Lorenzo Rosasco

This work focuses on the design of experiments of multi-fidelity computer experiments. We consider the autoregressive Gaussian process model proposed by Kennedy and O'Hagan (2000) and the optimal nested design that maximizes the prediction…

统计方法学 · 统计学 2024-06-03 Gecheng Chen , Rui Tuo

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

机器学习 · 计算机科学 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

Bayesian optimization has recently emerged as a popular method for the sample-efficient optimization of expensive black-box functions. However, the application to high-dimensional problems with several thousand observations remains…

机器学习 · 计算机科学 2020-02-26 David Eriksson , Michael Pearce , Jacob R Gardner , Ryan Turner , Matthias Poloczek

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…

机器学习 · 计算机科学 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

We develop asymptotically optimal policies for the multi armed bandit (MAB), problem, under a cost constraint. This model is applicable in situations where each sample (or activation) from a population (bandit) incurs a known bandit…

机器学习 · 统计学 2015-12-18 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

This paper proposes a new algorithm, referred to as GMAB, that combines concepts from the reinforcement learning domain of multi-armed bandits and random search strategies from the domain of genetic algorithms to solve discrete stochastic…

神经与进化计算 · 计算机科学 2023-02-16 Deniz Preil , Michael Krapp

Simulation-based falsification is a practical testing method to increase confidence that the system will meet safety requirements. Because full-fidelity simulations can be computationally demanding, we investigate the use of simulators with…

系统与控制 · 电气工程与系统科学 2023-05-02 Zahra Shahrooei , Mykel J. Kochenderfer , Ali Baheri

Satisficing is a relaxation of maximizing and allows for less risky decision making in the face of uncertainty. We propose two sets of satisficing objectives for the multi-armed bandit problem, where the objective is to achieve reward-based…

机器学习 · 计算机科学 2016-12-20 Paul Reverdy , Vaibhav Srivastava , Naomi Ehrich Leonard

Motivated by applications of bandit algorithms in education, we consider a stochastic multi-armed bandit problem with $\varepsilon$-contaminated rewards. We allow an adversary to give arbitrary unbounded contaminated rewards with full…

机器学习 · 统计学 2020-06-19 Laura Niss , Ambuj Tewari

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

机器学习 · 统计学 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas

Existing frameworks for evaluating and comparing generative models consider an offline setting, where the evaluator has access to large batches of data produced by the models. However, in practical scenarios, the goal is often to identify…

机器学习 · 计算机科学 2025-03-12 Xiaoyan Hu , Ho-fung Leung , Farzan Farnia

We consider the sequential optimization of an unknown, continuous, and expensive to evaluate reward function, from noisy and adversarially corrupted observed rewards. When the corruption attacks are subject to a suitable budget $C$ and the…

机器学习 · 统计学 2022-03-30 Ilija Bogunovic , Zihan Li , Andreas Krause , Jonathan Scarlett

An automatic machine learning (AutoML) task is to select the best algorithm and its hyper-parameters simultaneously. Previously, the hyper-parameters of all algorithms are joint as a single search space, which is not only huge but also…

机器学习 · 计算机科学 2019-06-03 Yi-Qi Hu , Yang Yu , Jun-Da Liao