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We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

We introduce the application of online learning in a Stackelberg game pertaining to a system with two learning agents in a dyadic exchange network, consisting of a supplier and retailer, specifically where the parameters of the demand…

计算工程、金融与科学 · 计算机科学 2024-10-15 Larkin Liu , Yuming Rong

Achieving sample efficiency in online episodic reinforcement learning (RL) requires optimally balancing exploration and exploitation. When it comes to a finite-horizon episodic Markov decision process with $S$ states, $A$ actions and…

机器学习 · 计算机科学 2022-10-18 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi

We consider a variant of the classical online linear optimization problem in which at every step, the online player receives a "hint" vector before choosing the action for that round. Rather surprisingly, it was shown that if the hint…

机器学习 · 计算机科学 2020-10-05 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

机器学习 · 计算机科学 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

We study the problem of online learning in predictive control of an unknown linear dynamical system with time varying cost functions which are unknown apriori. Specifically, we study the online learning problem where the control algorithm…

机器学习 · 计算机科学 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Dileep Kalathil , Pramod P. Khargonekar

We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

系统与控制 · 电气工程与系统科学 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

Recently, several universal methods have been proposed for online convex optimization which can handle convex, strongly convex and exponentially concave cost functions simultaneously. However, most of these algorithms have been designed…

机器学习 · 计算机科学 2023-02-14 Arnold Salas

We consider a family of learning strategies for online optimization problems that evolve in continuous time and we show that they lead to no regret. From a more traditional, discrete-time viewpoint, this continuous-time approach allows us…

最优化与控制 · 数学 2014-02-28 Joon Kwon , Panayotis Mertikopoulos

Many prediction domains, such as ad placement, recommendation, trajectory prediction, and document summarization, require predicting a set or list of options. Such lists are often evaluated using submodular reward functions that measure…

机器学习 · 计算机科学 2013-05-14 Stephane Ross , Jiaji Zhou , Yisong Yue , Debadeepta Dey , J. Andrew Bagnell

We study an online forecasting setting in which, over $T$ rounds, $N$ strategic experts each report a forecast to a mechanism, the mechanism selects one forecast, and then the outcome is revealed. In any given round, each expert has a…

机器学习 · 计算机科学 2025-02-18 Junpei Komiyama , Nishant A. Mehta , Ali Mortazavi

We propose a new partial-observability model for online learning problems where the learner, besides its own loss, also observes some noisy feedback about the other actions, depending on the underlying structure of the problem. We represent…

机器学习 · 计算机科学 2026-04-16 Tomáš Kocák , Gergely Neu , Michal Valko

In two-player zero-sum games, the learning dynamic based on optimistic Hedge achieves one of the best-known regret upper bounds among strongly-uncoupled learning dynamics. With an appropriately chosen learning rate, the social and…

机器学习 · 计算机科学 2025-10-14 Taira Tsuchiya

We consider the problem of controlling an unknown linear quadratic Gaussian (LQG) system consisting of multiple subsystems connected over a network. Our goal is to minimize and quantify the regret (i.e. loss in performance) of our strategy…

系统与控制 · 电气工程与系统科学 2021-08-19 Sagar Sudhakara , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

We study the problem of meta-learning several contextual stochastic bandits tasks by leveraging their concentration around a low-dimensional affine subspace, which we learn via online principal component analysis to reduce the expected…

机器学习 · 计算机科学 2024-04-02 Steven Bilaj , Sofien Dhouib , Setareh Maghsudi

In this work, we develop linear bandit algorithms that automatically adapt to different environments. By plugging a novel loss estimator into the optimization problem that characterizes the instance-optimal strategy, our first algorithm not…

机器学习 · 计算机科学 2021-06-15 Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei , Mengxiao Zhang , Xiaojin Zhang

Influence maximization, adaptive routing, and dynamic spectrum allocation all require choosing the right action from a large set of alternatives. Thanks to the advances in combinatorial optimization, these and many similar problems can be…

机器学习 · 计算机科学 2020-12-29 Alihan Hüyük , Cem Tekin

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

Most work on sequential learning assumes a fixed set of actions that are available all the time. However, in practice, actions can consist of picking subsets of readings from sensors that may break from time to time, road segments that can…

机器学习 · 计算机科学 2026-04-29 Gergely Neu , Michal Valko

As we move towards safety-critical cyber-physical systems that operate in non-stationary and uncertain environments, it becomes crucial to close the gap between classical optimal control algorithms and adaptive learning-based methods. In…

系统与控制 · 电气工程与系统科学 2022-11-15 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate
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