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In online convex optimization, the player aims to minimize regret, or the difference between her loss and that of the best fixed decision in hindsight over the entire repeated game. Algorithms that minimize (standard) regret may converge to…

机器学习 · 计算机科学 2023-02-14 Zhou Lu , Elad Hazan

The need for fast and robust optimization algorithms are of critical importance in all areas of machine learning. This paper treats the task of designing optimization algorithms as an optimal control problem. Using regret as a metric for an…

机器学习 · 计算机科学 2021-01-21 Philippe Casgrain , Anastasis Kratsios

The shortest secure path (routing) problem in communication networks has to deal with multiple attack layers e.g., man-in-the-middle, eavesdropping, packet injection, packet insertion, etc. Consider different probabilities for each such…

数据结构与算法 · 计算机科学 2021-04-07 Yefim Dinitz , Shlomi Dolev , Manish Kumar

We study the problem of dynamic regret minimization in online convex optimization, in which the objective is to minimize the difference between the cumulative loss of an algorithm and that of an arbitrary sequence of comparators. While the…

机器学习 · 计算机科学 2024-11-05 Andrew Jacobsen , Francesco Orabona

This paper considers the distributed online convex-concave optimization with constraint sets over a multiagent network, in which each agent autonomously generates a series of decision pairs through a designable mechanism to cooperatively…

最优化与控制 · 数学 2025-08-14 Wentao Zhang , Baoyong Zhang , Deming Yuan , Shengyuan Xu , Vincent K. N. Lau

Emergency evacuation is the process of movement of people away from the threat or actual occurrence of hazards such as natural disasters, terrorist attacks, fires and bombs. In this paper, we focus on evacuation from a building, but the…

数据结构与算法 · 计算机科学 2016-05-05 Gopinath Mishra , Subhra Mazumdar , Arindam Pal

We consider the problem of controlling a Linear Quadratic Regulator (LQR) system over a finite horizon $T$ with fixed and known cost matrices $Q,R$, but unknown and non-stationary dynamics $\{A_t, B_t\}$. The sequence of dynamics matrices…

机器学习 · 计算机科学 2022-03-21 Yuwei Luo , Varun Gupta , Mladen Kolar

In this paper, we address tracking of a time-varying parameter with unknown dynamics. We formalize the problem as an instance of online optimization in a dynamic setting. Using online gradient descent, we propose a method that sequentially…

机器学习 · 计算机科学 2016-03-17 Aryan Mokhtari , Shahin Shahrampour , Ali Jadbabaie , Alejandro Ribeiro

In this paper, we consider the problem of distributed online convex optimization, where a group of agents collaborate to track the global minimizers of a sum of time-varying objective functions in an online manner. Specifically, we propose…

最优化与控制 · 数学 2020-10-14 Yan Zhang , Robert J. Ravier , Vahid Tarokh , Michael M. Zavlanos

We study episodic linear mixture MDPs with the unknown transition and adversarial rewards under full-information feedback, employing dynamic regret as the performance measure. We start with in-depth analyses of the strengths and limitations…

机器学习 · 计算机科学 2024-11-06 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

最优化与控制 · 数学 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

最优化与控制 · 数学 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

We consider the classic problem of online convex optimisation. Whereas the notion of static regret is relevant for stationary problems, the notion of switching regret is more appropriate for non-stationary problems. A switching regret is…

机器学习 · 计算机科学 2025-03-07 Stephen Pasteris , Chris Hicks , Vasilios Mavroudis , Mark Herbster

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

机器学习 · 计算机科学 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

This paper presents an event-driven way finding algorithm for pedestrians in an evacuation scenario, which operates on a graph-based structure. The motivation of each pedestrian is to leave the facility. The events used to redirect…

其他计算机科学 · 计算机科学 2011-03-22 A. U. Kemloh Wagoum , A. Seyfried , S. Holl

We introduce an online convex optimization algorithm which utilizes projected subgradient descent with optimal adaptive learning rates. Our method provides second-order minimax-optimal dynamic regret guarantee (i.e. dependent on the sum of…

最优化与控制 · 数学 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

We introduce a novel extension of the canonical multi-armed bandit problem that incorporates an additional strategic innovation: abstention. In this enhanced framework, the agent is not only tasked with selecting an arm at each time step,…

机器学习 · 计算机科学 2026-03-24 Junwen Yang , Tianyuan Jin , Vincent Y. F. Tan

We investigate online convex optimization in non-stationary environments and choose the dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

机器学习 · 计算机科学 2020-12-01 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

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

Making judicious channel access and transmission scheduling decisions is essential for improving performance as well as energy and spectral efficiency in multichannel wireless systems. This problem has been a subject of extensive study in…

机器学习 · 计算机科学 2015-04-07 Yang Liu , Mingyan Liu