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The heterogeneous structure implies that a very few nodes may play the critical role in maintaining structural and functional properties of a large-scale network. Identifying these vital nodes is one of the most important tasks in network…

Physics and Society · Physics 2020-02-14 Yong Yu , Ming Jing , Na Zhao , Tao Zhou

Identifying important nodes is one of the central tasks in network science, which is crucial for analyzing the structure of a network and understanding the dynamical processes on a network. Most real-world systems are time-varying and can…

Physics and Society · Physics 2021-05-19 Jialin Bi , Ji Jin , Cunquan Qu , Xiuxiu Zhan , Guanghui Wang

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

Critical nodes in networks are extremely vulnerable to malicious attacks to trigger negative cascading events such as the spread of misinformation and diseases. Therefore, effective moderation of critical nodes is very vital for mitigating…

Social and Information Networks · Computer Science 2023-09-13 Changan Liu , Xiaotian Zhou , Ahad N. Zehmakan , Zhongzhi Zhang

In this paper, we address the challenge of discovering hidden nodes in unknown social networks, formulating three types of hidden-node discovery problems, namely, Sybil-node discovery, peripheral-node discovery, and influencer discovery. We…

Social and Information Networks · Computer Science 2025-07-01 Sho Tsugawa , Hiroyuki Ohsaki

The notion of network connectivity is used to characterize the robustness and failure tolerance of networks, with high connectivity being a desirable feature. In this paper, we develop a novel approach to the problem of identifying critical…

Optimization and Control · Mathematics 2019-10-29 Vishaal Krishnan , Sonia Martínez

How efficiently can we find an unknown graph using distance or shortest path queries between its vertices? Let $G = (V,E)$ be an unweighted, connected graph of bounded degree. The edge set $E$ is initially unknown, and the graph can be…

Data Structures and Algorithms · Computer Science 2015-02-19 Sampath Kannan , Claire Mathieu , Hang Zhou

Optimal selection of a subset of items from a given set is a hard problem that requires combinatorial optimization. In this paper, we propose a subset selection algorithm that is trainable with gradient-based methods yet achieves…

Machine Learning · Computer Science 2018-10-31 Thomas Powers , Rasool Fakoor , Siamak Shakeri , Abhinav Sethy , Amanjit Kainth , Abdel-rahman Mohamed , Ruhi Sarikaya

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

Machine Learning · Computer Science 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

A trust network is a social network in which edges represent the trust relationship between two nodes in the network. In a trust network, a fundamental question is how to assess and compute the bias and prestige of the nodes, where the bias…

Social and Information Networks · Computer Science 2015-06-05 Rong-Hua Li , Jeffrey Xu Yu , Xin Huang , Hong Cheng

The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchronization. In this paper we propose and explore a greedy…

Adaptation and Self-Organizing Systems · Physics 2022-09-21 Damien Beecroft , Juan G. Restrepo , David Angulo-Garcia

Finding efficient tensor contraction paths is essential for a wide range of problems, including model counting, quantum circuits, graph problems, and language models. There exist several approaches to find efficient paths, such as the…

Quantum Physics · Physics 2024-05-17 Sheela Orgler , Mark Blacher

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

Information Theory · Computer Science 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

Navigability of networks, that is the ability to find any given destination vertex starting from any other vertex, is crucial to their usefulness. In 2000 Kleinberg showed that optimal navigability could be achieved in small-world networks…

Statistical Mechanics · Physics 2015-05-13 Cecile Caretta Cartozo , Paolo De Los Rios

Many optimization, inference and learning tasks can be accomplished efficiently by means of decentralized processing algorithms where the network topology (i.e., the graph) plays a critical role in enabling the interactions among…

Multiagent Systems · Computer Science 2020-08-06 Vincenzo Matta , Augusto Santos , Ali H. Sayed

The Kirchhoff index, which is the sum of the resistance distance between every pair of nodes in a network, is a key metric for gauging network performance, where lower values signify enhanced performance. In this paper, we study the problem…

Discrete Mathematics · Computer Science 2025-03-28 Xiaotian Zhou , Ahad N. Zehmakan , Zhongzhi Zhang

A fundamental problem in the study of networks is the identification of important nodes. This is typically achieved using centrality metrics, which rank nodes in terms of their position in the network. This approach works well for static…

Computational Engineering, Finance, and Science · Computer Science 2022-10-19 Isobel Seabrook , Paolo Barucca , Fabio Caccioli

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

Physics and Society · Physics 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

The largest balanced element in signed graphs plays a vital role in helping researchers understand the fundamental structure of the graph, as it reveals valuable information about the complex relationships between vertices in the network.…

Social and Information Networks · Computer Science 2025-01-16 Muhieddine Shebaro , Jelena Tešić

Navigation on graphs is the problem how an agent walking on the graph can get from a source to a target with limited information about the graph. The information and the way to exploit it can vary. In this paper, we study navigation on…

Populations and Evolution · Quantitative Biology 2018-10-17 Sang Hoon Lee , Petter Holme