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Round-based models are very common message-passing models; combinatorial topology applied to distributed computing provides sweeping results like general lower bounds. We combine both to study the computability of k-set agreement. Among all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-15 Adam Shimi , Armando Castañeda

We study a Faulty Congested Clique model, in which an adversary may fail nodes in the network throughout the computation. We show that any task of $O(n\log{n})$-bit input per node can be solved in roughly $n$ rounds, where $n$ is the size…

Data Structures and Algorithms · Computer Science 2025-09-10 Keren Censor-Hillel , Pedro Soto

We study the problem of gossip in dynamic networks controlled by an adversary that can modify the network arbitrarily from one round to another, provided that the network is always connected. In the gossip problem, $n$ tokens are…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-20 John Augustine , Chen Avin , Mehraneh Liaee , Gopal Pandurangan , Rajmohan Rajaraman

Caching at the base stations brings the contents closer to the users, reduces the traffic through the backhaul links, and reduces the delay experienced by the cellular users. The cellular network operator may charge the content providers…

Networking and Internet Architecture · Computer Science 2015-09-11 Ammar Gharaibeh , Abdallah Khreishah , Bo Ji , Moussa Ayyash

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We study lower bounds on information dissemination in adversarial dynamic networks. Initially, k pieces of information (henceforth called tokens) are distributed among n nodes. The tokens need to be broadcast to all nodes through a…

Data Structures and Algorithms · Computer Science 2012-08-31 Bernhard Haeupler , Fabian Kuhn

We consider computations over networks with multiple broadcast channels that intersect at a single party. Each broadcast link suffers from random bit-flip noise that affects the receivers independently. We design interactive coding schemes…

Information Theory · Computer Science 2021-05-05 Manuj Mukherjee , Ran Gelles

We study the problem of information gathering in ad-hoc radio networks without collision detection, focussing on the case when the network forms a tree, with edges directed towards the root. Initially, each node has a piece of information…

Data Structures and Algorithms · Computer Science 2014-07-08 Marek Chrobak , Kevin Costello , Leszek Gasieniec , Dariusz R. Kowalski

Several well-studied online resource allocation problems can be formulated in terms of infinite, increasing sequences of positive values, in which each element is associated with a corresponding allocation value. Examples include problems…

Data Structures and Algorithms · Computer Science 2021-11-10 Spyros Angelopoulos , Diogo Arsénio , Shahin Kamali

Many streaming algorithms provide only a high-probability relative approximation. These two relaxations, of allowing approximation and randomization, seem necessary -- for many streaming problems, both relaxations must be employed…

Data Structures and Algorithms · Computer Science 2023-05-16 Vladimir Braverman , Robert Krauthgamer , Aditya Krishnan , Shay Sapir

A lot of effort has been invested into characterizing the convergence rates of gradient based algorithms for non-linear convex optimization. Recently, motivated by large datasets and problems in machine learning, the interest has shifted…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-23 Konstantinos I. Tsianos , Michael G. Rabbat

We give lower bounds on the communication complexity of graph problems in the multi-party blackboard model. In this model, the edges of an $n$-vertex input graph are partitioned among $k$ parties, who communicate solely by writing messages…

Data Structures and Algorithms · Computer Science 2021-03-15 Christian Konrad , Peter Robinson , Viktor Zamaraev

We study the problem of explainable clustering in the setting first formalized by Dasgupta, Frost, Moshkovitz, and Rashtchian (ICML 2020). A $k$-clustering is said to be explainable if it is given by a decision tree where each internal node…

Data Structures and Algorithms · Computer Science 2021-10-26 Buddhima Gamlath , Xinrui Jia , Adam Polak , Ola Svensson

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

A framework is proposed for the design and analysis of \emph{network-oblivious algorithms}, namely, algorithms that can run unchanged, yet efficiently, on a variety of machines characterized by different degrees of parallelism and…

Data Structures and Algorithms · Computer Science 2014-04-15 Gianfranco Bilardi , Andrea Pietracaprina , Geppino Pucci , Michele Scquizzato , Francesco Silvestri

We consider the problem of estimating the value of MAX-CUT in a graph in the streaming model of computation. At one extreme, there is a trivial $2$-approximation for this problem that uses only $O(\log n)$ space, namely, count the number of…

Data Structures and Algorithms · Computer Science 2018-11-28 Michael Kapralov , Dmitry Krachun

We propose a new partial-observability model for online learning problems where the learner, besides its own loss, also observes some noisy feedback about the other actions, depending on the underlying structure of the problem. We represent…

Machine Learning · Computer Science 2026-04-16 Tomáš Kocák , Gergely Neu , Michal Valko

In the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

Data Structures and Algorithms · Computer Science 2025-06-03 Allan Borodin , Christodoulos Karavasilis

The communication complexity of a voting rule is the worst-case number of bits that n voters must transmit to a central authority under the most efficient elicitation protocol in an election with m candidates. We study the communication…

Multiagent Systems · Computer Science 2026-05-25 Élie de Panafieu , François Durand , Jérôme Lang

Mobile edge caching enables content delivery within the radio access network, which effectively alleviates the backhaul burden and reduces response time. To fully exploit edge storage resources, the most popular contents should be…

Networking and Internet Architecture · Computer Science 2018-09-05 Peng Yang , Ning Zhang , Shan Zhang , Li Yu , Junshan Zhang , Xuemin Shen