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In this paper, we propose a unified framework and an algorithm for the problem of group recommendation where a fixed number of items or alternatives can be recommended to a group of users. The problem of group recommendation arises…

Information Retrieval · Computer Science 2017-12-27 Shameem A Puthiya Parambath , Nishant Vijayakumar , Sanjay Chawla

This paper introduces GODDeS: a fully distributed self-organizing decision-theoretic routing algorithm designed to effectively exploit high quality paths in lossy ad-hoc wireless environments, typically with a large number of nodes. The…

Networking and Internet Architecture · Computer Science 2012-03-24 Ishanu Chattopadhyay

Random walk can be used as a centrality measure of a directed graph. However, if the graph is reducible the random walk will be absorbed in some subset of nodes and will never visit the rest of the graph. In Google PageRank the problem was…

Networking and Internet Architecture · Computer Science 2009-04-17 Konstantin Avrachenkov , Vivek Borkar , Danil Nemirovsky

Ranking and selection (R&S) aims to select the best alternative with the largest mean performance from a finite set of alternatives. Recently, considerable attention has turned towards the large-scale R&S problem which involves a large…

Methodology · Statistics 2025-09-09 Zaile Li , Weiwei Fan , L. Jeff Hong

We study exploration properties of a random walk on a network. For a fully connected network we find that the problem can be mapped to the well known coupon collector problem, thus allowing us to estimate form of $P(S,t)$: the distribution…

Physics and Society · Physics 2026-04-24 Sarvesh K. Upadhyay , Trifce Sandev , Sanjay Kumar , R. K. Singh

We introduce a set of techniques that allow for efficiently generating many independent random walks in the Massive Parallel Computation (MPC) model with space per machine strongly sublinear in the number of vertices. In this…

Data Structures and Algorithms · Computer Science 2019-11-07 Jakub Łącki , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

In the dynamic set cover problem, the input is a dynamic universe of elements and a fixed collection of sets. As elements are inserted or deleted, the goal is to efficiently maintain an approximate minimum set cover. While the past decade…

Data Structures and Algorithms · Computer Science 2026-04-06 Amitai Uzrad

In a graph, a watchman's walk is a minimum closed dominating walk. Given a graph $G$ and a single watchman, the length of a watchman's walk in $G$ (the watchman number) is denoted by $w(G)$ and the typical goals of the watchman's walk…

Combinatorics · Mathematics 2020-07-29 Danny Dyer , Jared Howell , Brittany Pittman

Numerous problems of both theoretical and practical interest are related to finding shortest (or otherwise optimal) paths in networks, frequently in the presence of some obstacles or constraints. A somewhat related class of problems focuses…

Statistical Mechanics · Physics 2021-03-01 Ricardo Gutiérrez , Carlos Pérez-Espigares

Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

This paper explores decentralized learning in a graph-based setting, where data is distributed across nodes. We investigate a decentralized SGD algorithm that utilizes a random walk to update a global model based on local data. Our focus is…

Machine Learning · Computer Science 2024-07-31 Zonghong Liu , Salim El Rouayheb , Matthew Dwyer

In the present work, we study random walks on complex networks subject to stochastic resetting when the resetting probability is node-dependent. Using a renewal approach, we derive the exact expressions of the stationary occupation…

Statistical Mechanics · Physics 2022-05-05 Yanfei Ye , Hanshuang Chen

We consider two capacity problems in P2P networks. In the first one, the nodes have an infinite amount of data to send and the goal is to optimally allocate their uplink bandwidths such that the demands of every peer in terms of receiving…

Data Structures and Algorithms · Computer Science 2009-09-18 Jacob Chakareski , Pascal Frossard , Hervé Kerivin , Jimmy Leblet , Gwendal Simon

We propose a greedy algorithm to select $N$ important features among $P$ input features for a non-linear prediction problem. The features are selected one by one sequentially, in an iterative loss minimization procedure. We use neural…

Machine Learning · Computer Science 2023-09-14 Sandipan Das , Alireza M. Javid , Prakash Borpatra Gohain , Yonina C. Eldar , Saikat Chatterjee

In the Roman domination problem, an undirected simple graph $G(V,E)$ is given. The objective of Roman domination problem is to find a function $f:V\rightarrow {\{0,1,2\}}$ such that for any vertex $v\in V$ with $f(v)=0$ must be adjacent to…

Combinatorics · Mathematics 2021-11-18 Sasmita Rout , Gautam K. Das

We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Swan Dubois , Mohamed-Hamza Kaaouachi , Franck Petit

This work addresses the problem of exploration in an unknown environment. For linear dynamical systems, we use an experimental design framework and introduce an online greedy policy where the control maximizes the information of the next…

Machine Learning · Statistics 2023-04-27 Matthieu Blanke , Marc Lelarge

The concept of walkable urban development has gained increased attention due to its public health, economic, and environmental sustainability benefits. Unfortunately, land zoning and historic under-investment have resulted in spatial…

Optimization and Control · Mathematics 2022-12-13 Weimin Huang , Elias B. Khalil

We show for several computational problems how classical greedy algorithms for special cases can be derived in a simple way from dynamic programs for the general case: interval scheduling (restricted to unit weights), knapsack (restricted…

Data Structures and Algorithms · Computer Science 2026-02-26 Dieter van Melkebeek

We consider a class of discrete optimization problems that aim to maximize a submodular objective function subject to a distributed partition matroid constraint. More precisely, we consider a networked scenario in which multiple agents…

Optimization and Control · Mathematics 2020-11-19 Alexander Robey , Arman Adibi , Brent Schlotfeldt , George J. Pappas , Hamed Hassani