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We present a new anytime algorithm that achieves near-optimal regret for any instance of finite stochastic partial monitoring. In particular, the new algorithm achieves the minimax regret, within logarithmic factors, for both "easy" and…

机器学习 · 计算机科学 2012-07-03 Gabor Bartok , Navid Zolghadr , Csaba Szepesvari

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Partial monitoring is a general model for sequential learning with limited feedback formalized as a game between two players. In this game, the learner chooses an action and at the same time the opponent chooses an outcome, then the learner…

机器学习 · 统计学 2015-10-01 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

In multi-objective decision-making with hierarchical preferences, lexicographic bandits provide a natural framework for optimizing multiple objectives in a prioritized order. In this setting, a learner repeatedly selects arms and observes…

机器学习 · 计算机科学 2025-11-11 Bo Xue , Yuanyu Wan , Zhichao Lu , Qingfu Zhang

In this work, we focus on the design of optimal controllers that must comply with an information structure. State-of-the-art approaches do so based on the H2 or Hinfty norm to minimize the expected or worst-case cost in the presence of…

系统与控制 · 电气工程与系统科学 2025-11-24 Daniele Martinelli , Andrea Martin , Giancarlo Ferrari-Trecate , Luca Furieri

The performance measure of an algorithm is a crucial part of its analysis. The performance can be determined by the study on the convergence rate of the algorithm in question. It is necessary to study some (hopefully convergent) sequence…

最优化与控制 · 数学 2016-07-25 Sandra Astete-Morales , Marie-Liesse Cauwet , Olivier Teytaud

Regret theory is a theory that describes human decision-making under risk. The key of obtaining a quantitative model of regret theory is to measure the preference in humans' mind when they choose among a set of options. Unlike physical…

人机交互 · 计算机科学 2018-10-02 Longsheng Jiang , Yue Wang

In this paper, we investigate the existence of online learning algorithms with bandit feedback that simultaneously guarantee $O(1)$ regret compared to a given comparator strategy, and $\tilde{O}(\sqrt{T})$ regret compared to any fixed…

机器学习 · 计算机科学 2025-06-05 Adrian Müller , Jon Schneider , Stratis Skoulakis , Luca Viano , Volkan Cevher

In practical applications, data is used to make decisions in two steps: estimation and optimization. First, a machine learning model estimates parameters for a structural model relating decisions to outcomes. Second, a decision is chosen to…

最优化与控制 · 数学 2022-10-28 Samuel Tan , Peter I. Frazier

This paper considers the distributed online convex optimization problem with time-varying constraints over a network of agents. This is a sequential decision making problem with two sequences of arbitrarily varying convex loss and…

最优化与控制 · 数学 2022-12-29 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Tianyou Chai , Karl H. Johansson

We propose information-directed sampling -- a new approach to online optimization problems in which a decision-maker must balance between exploration and exploitation while learning from partial feedback. Each action is sampled in a manner…

机器学习 · 计算机科学 2017-07-10 Daniel Russo , Benjamin Van Roy

Incentive design constitutes a foundational paradigm for influencing the behavior of strategic agents, wherein a system planner (principal) publicly commits to an incentive mechanism designed to align individual objectives with collective…

最优化与控制 · 数学 2026-04-08 Georgios Vasileiou , Lantian Zhang , Silun Zhang

This work considered an online distributed optimization problem, with a group of agents whose local objective functions vary with time. Moreover, the value of the objective function is revealed to the corresponding agent after the decision…

最优化与控制 · 数学 2021-08-16 Yipeng Pang , Guoqiang Hu

Motivated by applications in service systems, we consider queueing systems where each customer must be handled by a server with the right skill set. We focus on optimizing the routing of customers to servers in order to maximize the total…

机器学习 · 计算机科学 2024-12-16 Sanne van Kempen , Jaron Sanders , Fiona Sloothaak , Maarten G. Wolf

RegretNet is a recent breakthrough in the automated design of revenue-maximizing auctions. It combines the flexibility of deep learning with the regret-based approach to relax the Incentive Compatibility (IC) constraint (that participants…

机器学习 · 计算机科学 2022-11-01 Dmitry Ivanov , Iskander Safiulin , Igor Filippov , Ksenia Balabaeva

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

机器学习 · 计算机科学 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan

We study revenue optimization learning algorithms for posted-price auctions with strategic buyers. We analyze a very broad family of monotone regret minimization algorithms for this problem, which includes the previously best known…

机器学习 · 计算机科学 2014-11-25 Mehryar Mohri , Andres Muñoz Medina

Online learning algorithms have been successfully used to design caching policies with sublinear regret in the total number of requests, with no statistical assumption about the request sequence. Most existing algorithms involve…

机器学习 · 计算机科学 2025-03-05 Younes Ben Mazziane , Francescomaria Faticanti , Sara Alouf , Giovanni Neglia

Interactive NLP is a promising paradigm to close the gap between automatic NLP systems and the human upper bound. Preference-based interactive learning has been successfully applied, but the existing methods require several thousand…

计算与语言 · 计算机科学 2019-06-10 Yang Gao , Christian M. Meyer , Iryna Gurevych

This paper describes an efficient reduction of the learning problem of ranking to binary classification. The reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret, improving a recent…

机器学习 · 计算机科学 2007-12-07 Nir Ailon , Mehryar Mohri