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Related papers: Planted Hitting Set Recovery in Hypergraphs

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A hitting set for a collection of sets is a set that has a non-empty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum cardinality. Motivated by instances of the hitting set problem…

Data Structures and Algorithms · Computer Science 2011-02-09 Karthekeyan Chandrasekaran , Richard Karp , Erick Moreno-Centeno , Santosh Vempala

In this paper, we focus on learning sparse graphs with a core-periphery structure. We propose a generative model for data associated with core-periphery structured networks to model the dependence of node attributes on core scores of the…

Machine Learning · Computer Science 2021-10-11 Sravanthi Gurugubelli , Sundeep Prabhakar Chepuri

We study graph matching between two correlated networks in the almost fully seeded regime, where all but a vanishing fraction of vertex correspondences are revealed. Concretely, we consider the correlated stochastic block model and assume…

Statistics Theory · Mathematics 2026-02-10 Nicolas Fraiman , Michael Nisenzon

Evaluating node importance is a critical aspect of analyzing complex systems, with broad applications in digital marketing, rumor suppression, and disease control. However, existing methods typically rely on conventional network structures…

Social and Information Networks · Computer Science 2025-07-29 Xiaonan Ni , Guangyuan Mei , Su-Su Zhang , Yang Chen , Xin Xu , Chuang Liu , Xiu-Xiu Zhan

In recent years, deep learning has achieved remarkable success in the field of image restoration. However, most convolutional neural network-based methods typically focus on a single scale, neglecting the incorporation of multi-scale…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 Jiatao Jiang , Zhen Cui , Chunyan Xu , Jian Yang

A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise versions measured…

Combinatorics · Mathematics 2018-12-05 Gregory Berkolaiko , Nick Duffield , Mahmood Ettehad , Kyriakos Manousakis

The large spatial/temporal/frequency scale of geoscience and remote-sensing datasets causes memory issues when using convolutional neural networks for (sub-) surface data segmentation. Recently developed fully reversible or fully invertible…

Geophysics · Physics 2024-07-02 Bas Peters , Eldad Haber , Keegan Lensink

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

With the rising interest in graph representation learning, a variety of approaches have been proposed to effectively capture a graph's properties. While these approaches have improved performance in graph machine learning tasks compared to…

Machine Learning · Computer Science 2019-10-09 Antonia Gogoglou , C. Bayan Bruss , Keegan E. Hines

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

We consider the statistical inference problem of recovering an unknown perfect matching, hidden in a weighted random graph, by exploiting the information arising from the use of two different distributions for the weights on the edges…

Disordered Systems and Neural Networks · Physics 2020-08-10 Guilhem Semerjian , Gabriele Sicuro , Lenka Zdeborová

The value of graph-based big data can be unlocked by exploring the topology and metrics of the networks they represent, and the computational approaches to this exploration take on many forms. The use-case of performing global computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Miguel E. Coimbra , Alexandre P. Francisco , Luís Veiga

In recent years, the widespread adoption of distributed microservice architectures within the industry has significantly increased the demand for enhanced system availability and robustness. Due to the complex service invocation paths and…

Machine Learning · Computer Science 2025-04-23 Ziming Zhao , Zhenwei Wang , Tiehua Zhang , Zhishu Shen , Hai Dong , Zhen Lei , Xingjun Ma , Gaowei Xu , Zhijun Ding , Yun Yang

A model of an evolving network of interacting molecular species is shown to exhibit repeated rounds of crashes in which several species get rapidly depopulated, followed by recoveries. The network inevitably self-organizes into an…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Sanjay Jain , Sandeep Krishna

Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

Machine Learning · Statistics 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time. These data are better described by…

Physics and Society · Physics 2021-04-01 Federico Musciotto , Federico Battiston , Rosario N. Mantegna

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

Community detection, aiming to group the graph nodes into clusters with dense inner-connection, is a fundamental graph mining task. Recently, it has been studied on the heterogeneous graph, which contains multiple types of nodes and edges,…

Social and Information Networks · Computer Science 2021-09-07 Linhao Luo , Yixiang Fang , Xin Cao , Xiaofeng Zhang , Wenjie Zhang

This paper aims for set-to-hypergraph prediction, where the goal is to infer the set of relations for a given set of entities. This is a common abstraction for applications in particle physics, biological systems, and combinatorial…

Machine Learning · Computer Science 2023-01-18 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek