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We study a gossip-based algorithm for searching data objects in a multipeer communication network. All of the nodes in the network are able to communicate with each other. There exists an initiator node that starts a round of searches by…

Networking and Internet Architecture · Computer Science 2009-07-16 Eva Jaho , Ioannis Koukoutsidis , Siyu Tang , Ioannis Stavrakakis , Piet Van Mieghem

Knapsack is one of the most fundamental problems in theoretical computer science. In the $(1 - \epsilon)$-approximation setting, although there is a fine-grained lower bound of $(n + 1 / \epsilon) ^ {2 - o(1)}$ based on the $(\min,…

Data Structures and Algorithms · Computer Science 2025-08-12 Xiao Mao

The influence of node mobility on the convergence time of averaging gossip algorithms in networks is studied. It is shown that a small number of fully mobile nodes can yield a significant decrease in convergence time. A method is developed…

Networking and Internet Architecture · Computer Science 2011-06-22 Anand D. Sarwate , Alexandros G. Dimakis

The maximal clique problem, to find the maximally sized clique in a given graph, is classically an NP-complete computational problem, which has potential applications ranging from electrical engineering, computational chemistry,…

Quantum Physics · Physics 2018-04-18 Weng-Long Chang , Qi Yu , Zhaokai Li , Jiahui Chen , Xinhua Peng , Mang Feng

The study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

Data Structures and Algorithms · Computer Science 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris

Given a graph $G$ with $n$ nodes and two nodes $u,v\in G$, the {\em CoSimRank} value $s(u,v)$ quantifies the similarity between $u$ and $v$ based on graph topology. Compared to SimRank, CoSimRank is shown to be more accurate and effective…

Social and Information Networks · Computer Science 2024-02-21 Renchi Yang , Xiaokui Xiao

We consider unknown ad-hoc radio networks, when the underlying network is bidirectional and nodes can have polynomially large labels. For this model, we present a deterministic protocol for gossiping which takes $O(n \lg^2 n \lg \lg n)$…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-04 Shailesh Vaya

This paper presents an $O(\log\log \bar{d})$ round massively parallel algorithm for $1+\epsilon$ approximation of maximum weighted $b$-matchings, using near-linear memory per machine. Here $\bar{d}$ denotes the average degree in the graph…

Data Structures and Algorithms · Computer Science 2022-11-16 Mohsen Ghaffari , Christoph Grunau , Slobodan Mitrović

The search task is one of the most difficult when it comes to execution speed, and reducing the latter is important both when working with large data and with small samples, if they need to be processed frequently and in a limited time.…

Quantum Physics · Physics 2025-04-24 Karina Zakharova

Decentralized learning on resource-constrained edge devices demands algorithms that are communication-efficient, robust to data corruption, and lightweight in memory. State-of-the-art gossip-based methods address communication efficiency,…

Machine Learning · Computer Science 2026-05-08 Anna van Elst , Igor Colin , Stephan Clémençon

We design an algorithm for approximating the size of \emph{Max Cut} in dense graphs. Given a proximity parameter $\varepsilon \in (0,1)$, our algorithm approximates the size of \emph{Max Cut} of a graph $G$ with $n$ vertices, within an…

Data Structures and Algorithms · Computer Science 2021-12-21 Arijit Ghosh , Gopinath Mishra , Rahul Raychaudhury , Sayantan Sen

In this paper, we propose a practically efficient model for securely computing rank-based statistics, e.g., median, percentiles and quartiles, over distributed datasets in the malicious setting without leaking individual data privacy. Based…

Cryptography and Security · Computer Science 2023-02-17 Nan Wang , Sid Chi-Kin Chau

Social networks allow rapid spread of ideas and innovations while the negative information can also propagate widely. When the cascades with different opinions reaching the same user, the cascade arriving first is the most likely to be…

Social and Information Networks · Computer Science 2017-11-10 Guangmo Tong , Weili Wu , Ling Guo , Deying Li , Cong Liu , Bin Liu , Ding-Zhu Du

This paper considers the minimization of a sum of smooth and strongly convex functions dispatched over the nodes of a communication network. Previous works on the subject either focus on synchronous algorithms, which can be heavily slowed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-09 Mathieu Even , Hadrien Hendrikx , Laurent Massoulié

We consider the problem of finding the minimum element in a list of length $N$ using a noisy comparator. The noise is modelled as follows: given two elements to compare, if the values of the elements differ by at least $\alpha$ by some…

Quantum Physics · Physics 2020-03-31 Yihui Quek , Clement Canonne , Patrick Rebentrost

In this paper, we study the fundamental problem of gossip in the mobile telephone model: a recently introduced variation of the classical telephone model modified to better describe the local peer-to-peer communication services implemented…

Data Structures and Algorithms · Computer Science 2017-05-29 Calvin Newport

We study the problem of decentralized optimization over time-varying networks with strongly convex smooth cost functions. In our approach, nodes run a multi-step gossip procedure after making each gradient update, thus ensuring approximate…

Optimization and Control · Mathematics 2022-11-08 Alexander Rogozin , Vladislav Lukoshkin , Alexander Gasnikov , Dmitry Kovalev , Egor Shulgin

In this paper we investigate the limit performance of Floating Gossip, a new, fully distributed Gossip Learning scheme which relies on Floating Content to implement location-based probabilistic evolution of machine learning models in an…

Machine Learning · Statistics 2023-11-23 Gianluca Rizzo , Noelia Perez Palma , Marco Ajmone Marsan , Vincenzo Mancuso

We have recently proposed quantized gossip algorithms which solve the consensus and averaging problems on directed graphs with the least restrictive connectivity requirements. In this paper we study the convergence time of these algorithms.…

Systems and Control · Computer Science 2011-11-10 Kai Cai , Hideaki Ishii

We consider gossiping in a fully-connected wireless network consisting of $n$ nodes. The network receives Poisson updates from a source, which generates new information. The nodes gossip their available information with the neighboring…

Information Theory · Computer Science 2023-03-09 Purbesh Mitra , Sennur Ulukus
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