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Finding optimal policies which maximize long term rewards of Markov Decision Processes requires the use of dynamic programming and backward induction to solve the Bellman optimality equation. However, many real-world problems require…

机器学习 · 计算机科学 2023-01-10 Mridul Agarwal , Vaneet Aggarwal

We study a variation of the canonical online resource allocation problem in which resources are throughput, rather than budget, constrained. As in the classical setting, the decision-maker must assign sequentially arriving jobs to one of…

最优化与控制 · 数学 2025-09-17 Chamsi Hssaine , Huseyin Topaloglu , Garrett van Ryzin

In this paper, we consider a distributed online convex optimization problem over a time-varying multi-agent network. The goal of this network is to minimize a global loss function through local computation and communication with neighbors.…

最优化与控制 · 数学 2024-06-17 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

We investigate the Distributionally Robust Regret-Optimal (DR-RO) control of discrete-time linear dynamical systems with quadratic cost over an infinite horizon. Regret is the difference in cost obtained by a causal controller and a…

系统与控制 · 电气工程与系统科学 2024-01-01 Taylan Kargin , Joudi Hajar , Vikrant Malik , Babak Hassibi

We study the multinomial logit (MNL) contextual bandit problem for sequential assortment selection. Although most existing research assumes utility functions to be linear in item features, this linearity assumption restricts the modeling of…

机器学习 · 计算机科学 2026-01-13 Taehyun Hwang , Dahngoon Kim , Min-hwan Oh

We study non-monetary mechanisms for the fair and efficient allocation of reusable public resources, i.e., resources used for varying durations. We consider settings where a limited resource is repeatedly shared among a set of agents, each…

计算机科学与博弈论 · 计算机科学 2023-10-17 Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

We study fair and efficient allocation of divisible goods, in an online manner, among $n$ agents. The goods arrive online in a sequence of $T$ time periods. The agents' values for a good are revealed only after its arrival, and the online…

计算机科学与博弈论 · 计算机科学 2021-09-03 Siddharth Barman , Arindam Khan , Arnab Maiti

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

机器学习 · 计算机科学 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

机器学习 · 计算机科学 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

机器学习 · 计算机科学 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

Mobility-on-demand systems are transforming the way we think about the transportation of people and goods. Most research effort has been placed on scalability issues for systems with a large number of agents and simple pick-up/drop-off…

形式语言与自动机理论 · 计算机科学 2022-08-15 Kaier Liang , Cristian-Ioan Vasile

Restless bandit problems assume time-varying reward distributions of the arms, which adds flexibility to the model but makes the analysis more challenging. We study learning algorithms over the unknown reward distributions and prove a…

机器学习 · 计算机科学 2019-10-15 Young Hun Jung , Marc Abeille , Ambuj Tewari

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

数据结构与算法 · 计算机科学 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

Optimal allocation of agricultural water in the event of droughts is an important global problem. In addressing this problem, many aspects, including the welfare of farmers, the economy, and the environment, must be considered. Under this…

Motivated by applications such as cloud platforms allocating GPUs to users or governments deploying mobile health units across competing regions, we study the dynamic allocation of a reusable resource to strategic agents with private…

计算机科学与博弈论 · 计算机科学 2025-07-15 Yan Dai , Negin Golrezaei , Patrick Jaillet

We study lifelong reinforcement learning (RL) in a regret minimization setting of linear contextual Markov decision process (MDP), where the agent needs to learn a multi-task policy while solving a streaming sequence of tasks. We propose an…

机器学习 · 计算机科学 2022-06-02 Sanae Amani , Lin F. Yang , Ching-An Cheng

In several social choice problems, agents collectively make decisions over the allocation of multiple divisible and heterogeneous resources with capacity constraints to maximize utilitarian social welfare. The agents are constrained through…

最优化与控制 · 数学 2023-11-02 Syed Eqbal Alam , Fabian Wirth , Jia Yuan Yu , Robert Shorten

Online optimization has recently opened avenues to study optimal control for time-varying cost functions that are unknown in advance. Inspired by this line of research, we study the distributed online linear quadratic regulator (LQR)…

最优化与控制 · 数学 2022-02-08 Ting-Jui Chang , Shahin Shahrampour

The fair allocation of indivisible resources is a fundamental problem. Existing research has developed various allocation mechanisms or algorithms to satisfy different fairness notions. For example, round robin (RR) was proposed to meet the…

人工智能 · 计算机科学 2025-05-13 Ryota Maruo , Koh Takeuchi , Hisashi Kashima

We study the classical rent division problem, where $n$ agents must allocate $n$ indivisible rooms and split a fixed total rent $R$. The goal is to compute an envy-free (EF) allocation, where no agent prefers another agent's room and rent…

计算机科学与博弈论 · 计算机科学 2025-10-08 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani