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Although many authors have considered how many ternary comparisons it takes to sort a multiset $S$ of size $n$, the best known upper and lower bounds still differ by a term linear in $n$. In this paper we restrict our attention to online…

Data Structures and Algorithms · Computer Science 2009-07-07 Travis Gagie , Yakov Nekrich

We consider a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

Computer Science and Game Theory · Computer Science 2021-03-25 Bart de Keijzer , Dominik Wojtczak

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

Data Structures and Algorithms · Computer Science 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

We propose a combinatorial optimisation model called Limited Query Graph Connectivity Test. We consider a graph whose edges have two possible states (On/Off). The edges' states are hidden initially. We could query an edge to reveal its…

Data Structures and Algorithms · Computer Science 2023-12-19 Mingyu Guo , Jialiang Li , Aneta Neumann , Frank Neumann , Hung Nguyen

Data collection is crucial for learning robust world models in model-based reinforcement learning. The most prevalent strategies are to actively collect trajectories by interacting with the environment during online training or training on…

Machine Learning · Computer Science 2025-09-09 Jiaqi Chen , Ji Shi , Cansu Sancaktar , Jonas Frey , Georg Martius

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

Data Structures and Algorithms · Computer Science 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

This paper studies an online cost optimization problem for distributed storage and access. The goal is to dynamically create and delete copies of data objects over time at geo-distributed servers to serve access requests and minimize the…

Data Structures and Algorithms · Computer Science 2025-10-29 Tianyu Zuo , Xueyan Tang , Bu Sung Lee , Jianfei Cai

The Adwords and Online Bipartite Matching problems have enjoyed a renewed attention over the past decade due to their connection to Internet advertising. Our community has contributed, among other things, new models (notably stochastic) and…

Data Structures and Algorithms · Computer Science 2016-06-28 Yajun Wang , Sam Chiu-wai Wong

Consider a communication network to which a sequence of self-interested users come and send requests for data transmission between nodes. This work studies the question of how to guide the path selection choices made by those…

Data Structures and Algorithms · Computer Science 2024-07-09 Ying Cao , Siyuan Yu , Xiaoqi Tan , Danny H. K. Tsang

Building agents that can explore their environments intelligently is a challenging open problem. In this paper, we make a step towards understanding how a hierarchical design of the agent's policy can affect its exploration capabilities.…

Machine Learning · Computer Science 2018-11-19 Maruan Al-Shedivat , Lisa Lee , Ruslan Salakhutdinov , Eric Xing

Online bipartite matching is a classical problem in online algorithms and we know that both the deterministic fractional and randomized integral online matchings achieve the same competitive ratio of $1-\frac{1}{e}$. In this work, we study…

Data Structures and Algorithms · Computer Science 2025-11-21 Amey Bhangale , Arghya Chakraborty , Prahladh Harsha

Conventional distributed approaches to coverage control may suffer from lack of convergence and poor performance, due to the fact that agents have limited information, especially in non-convex discrete environments. To address this issue,…

Computer Science and Game Theory · Computer Science 2024-04-09 Tatsuya Iwase , Aurélie Beynier , Nicolas Bredeche , Nicolas Maudet , Jason R. Marden

Optimizing the cellular network's cell locations is one of the most fundamental problems of network design. The general objective is to provide the desired Quality-of-Service (QoS) with the minimum system cost. In order to meet a growing…

Networking and Internet Architecture · Computer Science 2013-07-23 Weisi Guo , Siyi Wang , Xiaoli Chu , Jiming Chen , Hui Song , Jie Zhang

In the online balanced graph repartitioning problem, one has to maintain a clustering of $n$ nodes into $\ell$ clusters, each having $k = n / \ell$ nodes. During runtime, an online algorithm is given a stream of communication requests…

Data Structures and Algorithms · Computer Science 2021-08-26 Marcin Bienkowski , Martin Böhm , Martin Koutecký , Thomas Rothvoß , Jiří Sgall , Pavel Veselý

We revisit the online bipartite matching problem on $d$-regular graphs, for which Cohen and Wajc (SODA 2018) proposed an algorithm with a competitive ratio of $1-2\sqrt{H_d/d} = 1-O(\sqrt{(\log d)/d})$ and showed that it is asymptotically…

Data Structures and Algorithms · Computer Science 2025-10-02 Yilong Feng , Haolong Li , Xiaowei Wu , Shengwei Zhou

We develop an online gradient algorithm for optimizing the performance of product-form networks through online adjustment of control parameters. The use of standard algorithms for finding optimal parameter settings is hampered by the…

Optimization and Control · Mathematics 2012-08-31 Jaron Sanders , Sem C. Borst , Johan S. H. van Leeuwaarden

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the obvious influence of spatial constraints on agents' performance. Yet hand-designing improved environment…

Robotics · Computer Science 2022-09-26 Zhan Gao , Amanda Prorok

Motivated by Internet targeted advertising, we address several ad allocation problems. Prior work has established these problems admit no randomized online algorithm better than $(1-\frac{1}{e})$-competitive…

Data Structures and Algorithms · Computer Science 2015-04-30 Joseph , Naor , David Wajc

Exploring unknown environments is a fundamental task in many domains, e.g., robot navigation, network security, and internet search. We initiate the study of a learning-augmented variant of the classical, notoriously hard online graph…

Machine Learning · Computer Science 2021-12-13 Franziska Eberle , Alexander Lindermayr , Nicole Megow , Lukas Nölke , Jens Schlöter

Web crawling is the problem of keeping a cache of webpages fresh, i.e., having the most recent copy available when a page is requested. This problem is usually coupled with the natural restriction that the bandwidth available to the web…

Machine Learning · Computer Science 2019-11-26 Utkarsh Upadhyay , Robert Busa-Fekete , Wojciech Kotlowski , David Pal , Balazs Szorenyi