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Reinforcement learning often needs to deal with the exponential growth of states and actions when exploring optimal control in high-dimensional spaces (often known as the curse of dimensionality). In this work, we address this issue by…

Machine Learning · Computer Science 2023-06-23 Yining Li , Peizhong Ju , Ness Shroff

It is known that reinforcement learning (RL) is data-hungry. To improve sample-efficiency of RL, it has been proposed that the learning algorithm utilize data from 'approximately similar' processes. However, since the process models are…

Machine Learning · Computer Science 2025-11-24 Vinay Kanakeri , Shivam Bajaj , Ashwin Verma , Vijay Gupta , Aritra Mitra

Points-based rewards programs are a prevalent way to incentivize customer loyalty; in these programs, customers who make repeated purchases from a seller accumulate points, working toward eventual redemption of a free reward. These programs…

Machine Learning · Computer Science 2025-06-05 Chamsi Hssaine , Yichun Hu , Ciara Pike-Burke

Federated Learning (FL) algorithms commonly sample a random subset of clients to address the straggler issue and improve communication efficiency. While recent works have proposed various client sampling methods, they have limitations in…

Machine Learning · Computer Science 2024-05-15 Jiaxiang Geng , Yanzhao Hou , Xiaofeng Tao , Juncheng Wang , Bing Luo

We consider the \mnk{classical} problem of a controller activating (or sampling) sequentially from a finite number of $N \geq 2$ populations, specified by unknown distributions. Over some time horizon, at each time $n = 1, 2, \ldots$, the…

Machine Learning · Statistics 2015-12-18 Wesley Cowan , Michael N. Katehakis

Since DeepSeek-R1 popularized, Group Relative Policy Optimization (GRPO) has become the core part of training Reasoning LLMs. However, we find some deficiency that influences RL stability and inference efficiency, like zero-variance in…

Computation and Language · Computer Science 2025-09-30 Chen Li , Nazhou Liu , Kai Yang

This paper studies prototypical strategies to sequentially aggregate independent decisions. We consider a collection of agents, each performing binary hypothesis testing and each obtaining a decision over time. We assume the agents are…

Applications · Statistics 2010-08-30 Sandra H. Dandach , Ruggero Carli , Francesco Bullo

The problem of constrained reinforcement learning (CRL) holds significant importance as it provides a framework for addressing critical safety satisfaction concerns in the field of reinforcement learning (RL). However, with the introduction…

Machine Learning · Computer Science 2023-05-24 Chengbin Xuan , Feng Zhang , Faliang Yin , Hak-Keung Lam

This paper studies a central planner's decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude…

Mathematical Finance · Quantitative Finance 2025-10-15 Shuoqing Deng , Xiang Yu , Jiacheng Zhang

Constrained Reinforcement Learning (CRL) is a subset of machine learning that introduces constraints into the traditional reinforcement learning (RL) framework. Unlike conventional RL which aims solely to maximize cumulative rewards, CRL…

Artificial Intelligence · Computer Science 2024-12-02 Xiaoshan Lin , Sadık Bera Yüksel , Yasin Yazıcıoğlu , Derya Aksaray

We consider the problem of reward maximization in the dueling bandit setup along with constraints on resource consumption. As in the classic dueling bandits, at each round the learner has to choose a pair of items from a set of $K$ items…

Machine Learning · Computer Science 2023-12-29 Rohan Deb , Aadirupa Saha

The assessment of a job's Quality of Service (QoS) often revolves around its flow time, also referred to as response time. This study delves into two fundamental objectives for scheduling jobs: the average flow time and the maximum flow…

Data Structures and Algorithms · Computer Science 2025-05-02 Tung-Wei Kuo

We study optimal distributed first-order optimization algorithms when the network (i.e., communication constraints between the agents) changes with time. This problem is motivated by scenarios where agents experience network malfunctions.…

Optimization and Control · Mathematics 2019-12-02 Alexander Rogozin , César A. Uribe , Alexander Gasnikov , Nikolay Malkovsky , Angelia Nedić

In many federated learning (FL) models, a common strategy employed to ensure the progress in the training process, is to wait for at least $M$ clients out of the total $N$ clients to send back their local gradients based on a reporting…

Machine Learning · Computer Science 2024-05-27 Sahan Liyanaarachchi , Kanchana Thilakarathna , Sennur Ulukus

In the experts problem, on each of $T$ days, an agent needs to follow the advice of one of $n$ ``experts''. After each day, the loss associated with each expert's advice is revealed. A fundamental result in learning theory says that the…

Data Structures and Algorithms · Computer Science 2023-03-10 Binghui Peng , Aviad Rubinstein

We propose Fuzzy Group Relative Policy Reward (FGRPR), a novel framework that integrates Group Relative Policy Optimization (GRPO) with a fuzzy reward function to enhance learning efficiency. Unlike the conventional binary 0/1 accuracy…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Zhiqiang Wang , Pengbin Feng , Yanbin Lin , Shuzhang Cai , Zongao Bian , Jinghua Yan , Xingquan Zhu

We show that learning algorithms satisfying a $\textit{low approximate regret}$ property experience fast convergence to approximate optimality in a large class of repeated games. Our property, which simply requires that each learner has…

Computer Science and Game Theory · Computer Science 2016-12-19 Dylan J. Foster , Zhiyuan Li , Thodoris Lykouris , Karthik Sridharan , Eva Tardos

We consider a seller faced with buyers which have the ability to delay their decision, which we call patience. Each buyer's type is composed of value and patience, and it is sampled i.i.d. from a distribution. The seller, using posted…

Computer Science and Game Theory · Computer Science 2022-06-28 Eitan-Hai Mashiah , Idan Attias , Yishay Mansour

We consider the problem of selecting $k$ seed nodes in a network to maximize the minimum probability of activation under an independent cascade beginning at these seeds. The motivation is to promote fairness by ensuring that even the least…

Social and Information Networks · Computer Science 2025-02-20 Dennis Robert Windham , Caroline J. Wendt , Alex Crane , Madelyn J Warr , Freda Shi , Sorelle A. Friedler , Blair D. Sullivan , Aaron Clauset

The paper studies a fundamental federated learning (FL) problem involving multiple clients with heterogeneous constrained resources. Compared with the numerous training parameters, the computing and communication resources of clients are…

Machine Learning · Computer Science 2024-06-21 Ruirui Zhang , Xingze Wu , Yifei Zou , Zhenzhen Xie , Peng Li , Xiuzhen Cheng , Dongxiao Yu
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