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Consider the problem of finding a population or a probability distribution amongst many with the largest mean when these means are unknown but population samples can be simulated or otherwise generated. Typically, by selecting largest…

Probability · Mathematics 2018-09-11 Peter Glynn , Sandeep Juneja

Both the human brain and artificial learning agents operating in real-world or comparably complex environments are faced with the challenge of online model selection. In principle this challenge can be overcome: hierarchical Bayesian…

Machine Learning · Computer Science 2017-12-05 David G. Nagy , Gergő Orbán

Despite a surge of interest in submodular maximization in the data stream model, there remain significant gaps in our knowledge about what can be achieved in this setting, especially when dealing with multiple constraints. In this work, we…

Data Structures and Algorithms · Computer Science 2022-04-12 Moran Feldman , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

Data Structures and Algorithms · Computer Science 2018-08-24 Sepehr Assadi , Sanjeev Khanna

The linear ordering problem (LOP), which consists in ordering M objects from their pairwise comparisons, is commonly applied in many areas of research. While efforts have been made to devise efficient LOP algorithms, verification of whether…

Machine Learning · Computer Science 2023-05-23 Leszek Szczecinski , Harsh Sukheja

The effectiveness of collective decision-making is often challenged by the bounded rationality and inherent stochasticity of individual agents. We investigate this by analyzing how to aggregate decisions from n experts, each receiving a…

Computer Science and Game Theory · Computer Science 2026-03-17 Zhihuan Huang , Yichong Xia , Yuqing Kong

We study the assignment problem of objects to agents with heterogeneous preferences under distributional constraints. Each agent is associated with a publicly known type and has a private ordinal ranking over objects. We are interested in…

Data Structures and Algorithms · Computer Science 2019-05-02 Itai Ashlagi , Amin Saberi , Ali Shameli

Consider that there are $k\le n$ agents in a simple, connected, and undirected graph $G=(V,E)$ with $n$ nodes and $m$ edges. The goal of the dispersion problem is to move these $k$ agents to mutually distinct nodes. Agents can communicate…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

Distributed optimization problems have received much attention due to their privacy preservation, parallel computation, less communication, and strong robustness. This paper presents and studies the time-varying distributed optimization…

Optimization and Control · Mathematics 2025-03-18 Wan-ying Li , Nan-jing Huang

Conservatism has led to significant progress in offline reinforcement learning (RL) where an agent learns from pre-collected datasets. However, as many real-world scenarios involve interaction among multiple agents, it is important to…

Machine Learning · Computer Science 2022-04-05 Ling Pan , Longbo Huang , Tengyu Ma , Huazhe Xu

The problem of task scheduling with communication delays is strongly NP-hard. State-space search algorithms such as A* have been shown to be a promising approach to solving small to medium sized instances optimally. A recently proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-15 Michael Orr , Oliver Sinnen

We study reinforcement learning for global decision-making in the presence of local agents, where the global decision-maker makes decisions affecting all local agents, and the objective is to learn a policy that maximizes the joint rewards…

Machine Learning · Computer Science 2024-10-24 Emile Anand , Guannan Qu

In this paper, we present an efficient massively parallel approximation algorithm for the $k$-means problem. Specifically, we provide an MPC algorithm that computes a constant-factor approximation to an arbitrary $k$-means instance in…

Data Structures and Algorithms · Computer Science 2025-07-21 Vincent Cohen-Addad , Fabian Kuhn , Zahra Parsaeian

Parallel data collection has redefined Reinforcement Learning (RL), unlocking unprecedented efficiency and powering breakthroughs in large-scale real-world applications. In this paradigm, $N$ identical agents operate in $N$ replicas of an…

Machine Learning · Computer Science 2025-06-25 Vincenzo De Paola , Riccardo Zamboni , Mirco Mutti , Marcello Restelli

Large Language Models (LLMs) have demonstrated strong capabilities across various domains, with recent advancements in challenging reasoning tasks such as mathematics and programming. However, solving reasoning tasks often requires an LLM…

Machine Learning · Computer Science 2025-06-02 Junhao Hu , Wenrui Huang , Weidong Wang , Zhenwen Li , Tiancheng Hu , Zhixia Liu , Xusheng Chen , Tao Xie , Yizhou Shan

We initiate the study of Preference-Based Multi-Agent Reinforcement Learning (PbMARL), exploring both theoretical foundations and empirical validations. We define the task as identifying the Nash equilibrium from a preference-only offline…

Machine Learning · Computer Science 2025-01-10 Natalia Zhang , Xinqi Wang , Qiwen Cui , Runlong Zhou , Sham M. Kakade , Simon S. Du

We propose a self-stabilizing leader election (SS-LE) protocol on ring networks in the population protocol model. Given a rough knowledge $\psi = \lceil \log n \rceil + O(1)$ on the population size $n$, the proposed protocol lets the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Daisuke Yokota , Yuichi Sudo , Fukuhito Ooshita , Toshimitsu Masuzawa

When allocating indivisible items to agents, it is known that the only strategyproof mechanisms that satisfy a set of rather mild conditions are constrained serial dictatorships: given a fixed order over agents, at each step the designated…

Computer Science and Game Theory · Computer Science 2025-02-28 Sylvain Bouveret , Hugo Gilbert , Jérôme Lang , Guillaume Méroué

Optimising queries in real-world situations under imperfect conditions is still a problem that has not been fully solved. We consider finding the optimal order in which to execute a given set of selection operators under partial ignorance…

Databases · Computer Science 2015-07-30 Khaled H. Alyoubi , Sven Helmer , Peter T. Wood

We study a \emph{Plurality-Consensus} process in which each of $n$ anonymous agents of a communication network initially supports an opinion (a color chosen from a finite set $[k]$). Then, in every (synchronous) round, each agent can revise…

Discrete Mathematics · Computer Science 2015-07-28 Luca Becchetti , Andrea Clementi , Emanuele Natale , Francesco Pasquale , Riccardo Silvestri , Luca Trevisan