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We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

机器学习 · 计算机科学 2023-04-10 Michael Muehlebach

This paper describes a novel approach to planning which takes advantage of decision theory to greatly improve robustness in an uncertain environment. We present an algorithm which computes conditional plans of maximum expected utility. This…

人工智能 · 计算机科学 2013-02-28 Stephen G. Pimentel , Lawrence M. Brem

Recently, there has been rising interest in Bayesian optimization -- the optimization of an unknown function with assumptions usually expressed by a Gaussian Process (GP) prior. We study an optimization strategy that directly uses an…

机器学习 · 统计学 2018-08-14 Zi Wang , Bolei Zhou , Stefanie Jegelka

When an AI system interacts with multiple users, it frequently needs to make allocation decisions. For instance, a virtual agent decides whom to pay attention to in a group setting, or a factory robot selects a worker to deliver a part.…

机器学习 · 计算机科学 2019-12-18 Yifang Chen , Alex Cuellar , Haipeng Luo , Jignesh Modi , Heramb Nemlekar , Stefanos Nikolaidis

The safe operation of an autonomous system is a complex endeavor, one pivotal element being its decision-making. Decision-making logic can formally be analyzed using model checking or other formal verification approaches. Yet, the…

多智能体系统 · 计算机科学 2023-10-05 Jan Vermaelen , Tom Holvoet

Addressing uncertainty is critical for autonomous systems to robustly adapt to the real world. We formulate the problem of model uncertainty as a continuous Bayes-Adaptive Markov Decision Process (BAMDP), where an agent maintains a…

机器人学 · 计算机科学 2019-05-09 Gilwoo Lee , Brian Hou , Aditya Mandalika , Jeongseok Lee , Sanjiban Choudhury , Siddhartha S. Srinivasa

Batch policy optimization considers leveraging existing data for policy construction before interacting with an environment. Although interest in this problem has grown significantly in recent years, its theoretical foundations remain…

机器学习 · 计算机科学 2021-04-07 Chenjun Xiao , Yifan Wu , Tor Lattimore , Bo Dai , Jincheng Mei , Lihong Li , Csaba Szepesvari , Dale Schuurmans

Sequential portfolio selection has attracted increasing interests in the machine learning and quantitative finance communities in recent years. As a mathematical framework for reinforcement learning policies, the stochastic multi-armed…

投资组合管理 · 定量金融 2017-09-14 Xiaoguang Huo , Feng Fu

The study of online algorithms with machine-learned predictions has gained considerable prominence in recent years. One of the common objectives in the design and analysis of such algorithms is to attain (Pareto) optimal tradeoffs between…

机器学习 · 计算机科学 2024-08-09 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Yanni Lefki

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

机器学习 · 计算机科学 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Many applications require a learner to make sequential decisions given uncertainty regarding both the system's payoff function and safety constraints. In safety-critical systems, it is paramount that the learner's actions do not violate the…

机器学习 · 计算机科学 2020-05-06 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

机器人学 · 计算机科学 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

Motivated by the task of hyperparameter optimization, we introduce the non-stochastic best-arm identification problem. Within the multi-armed bandit literature, the cumulative regret objective enjoys algorithms and analyses for both the…

机器学习 · 计算机科学 2015-03-02 Kevin Jamieson , Ameet Talwalkar

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

计算机科学中的逻辑 · 计算机科学 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

Gaussian Process (GP) models have also become extremely useful for optimization under uncertainty algorithms, especially where the objective functions are costly to compute. Yet, the more classical methods usually adopt strategies that, in…

最优化与控制 · 数学 2025-07-22 Nishant Gadde

This paper discusses a scenario approach to robust optimization of a blackbox function in a bandit setting. We assume that the blackbox function can be modeled as a Gaussian Process (GP) for every realization of the uncertain parameter. We…

最优化与控制 · 数学 2018-05-01 Shaunak D. Bopardikar , Vaibhav Srivastava

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

人工智能 · 计算机科学 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of…

机器学习 · 计算机科学 2025-01-24 Zhirui Chen , P. N. Karthik , Yeow Meng Chee , Vincent Y. F. Tan

Time-constrained decision processes have been ubiquitous in many fundamental applications in physics, biology and computer science. Recently, restart strategies have gained significant attention for boosting the efficiency of…

机器学习 · 计算机科学 2020-07-02 Semih Cayci , Atilla Eryilmaz , R. Srikant