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There is a growing interest in designing Graph Neural Networks (GNNs) for seeded graph matching, which aims to match two unlabeled graphs using only topological information and a small set of seed nodes. However, most previous GNNs for this…

机器学习 · 计算机科学 2023-07-11 Liren Yu , Jiaming Xu , Xiaojun Lin

Finding the seed set that maximizes the influence spread over a network is a well-known NP-hard problem. Though a greedy algorithm can provide near-optimal solutions, the subproblem of influence estimation renders the solutions inefficient.…

Enumerating the minimal hitting sets of a hypergraph is a problem which arises in many data management applications that include constraint mining, discovering unique column combinations, and enumerating database repairs. Previously, Eiter…

数据库 · 计算机科学 2025-01-28 Batya Kenig , Dan Shlomo Mizrahi

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

社会与信息网络 · 计算机科学 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

We propose a framework to model the distribution of sequential data coming from a set of entities connected in a graph with a known topology. The method is based on a mixture of shared hidden Markov models (HMMs), which are jointly trained…

机器学习 · 计算机科学 2019-04-02 Diogo Pernes , Jaime S. Cardoso

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

数据结构与算法 · 计算机科学 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

Information spreading in complex networks is often modeled as diffusing information with certain probability from nodes that possess it to their neighbors that do not. Information cascades are triggered when the activation of a set of…

We introduce a mixture-model of beta distributions to identify significant correlations among $P$ predictors when $P$ is large. The method relies on theorems in convex geometry, which we use to show how to control the error rate of edge…

统计方法学 · 统计学 2021-06-29 Haim Bar , Martin T. Wells

Influence Diagrams (ID) are a flexible tool to represent discrete stochastic optimization problems, including Markov Decision Process (MDP) and Partially Observable MDP as standard examples. More precisely, given random variables considered…

最优化与控制 · 数学 2019-07-08 Axel Parmentier , Victor Cohen , Vincent Leclère , Guillaume Obozinski , Joseph Salmon

The transversal hypergraph problem is the task of enumerating the minimal hitting sets of a hypergraph. It is a long-standing open question whether this can be done in output-polynomial time. For hypergraphs whose solutions have bounded…

数据结构与算法 · 计算机科学 2021-10-25 Thomas Bläsius , Tobias Friedrich , Julius Lischeid , Kitty Meeks , Martin Schirneck

Single-cell transcriptomics and proteomics have become a great source for data-driven insights into biology, enabling the use of advanced deep learning methods to understand cellular heterogeneity and gene expression at the single-cell…

基因组学 · 定量生物学 2025-12-15 Hiren Madhu , João Felipe Rocha , Tinglin Huang , Siddharth Viswanath , Smita Krishnaswamy , Rex Ying

We investigate the joint distribution of the vertex degrees in three models of random bipartite graphs. Namely, we can choose each edge with a specified probability, choose a specified number of edges, or specify the vertex degrees in one…

组合数学 · 数学 2022-12-22 Brendan D. McKay , Fiona Skerman

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

机器学习 · 计算机科学 2021-10-04 Shahana Ibrahim , Xiao Fu

For a hereditary graph class $\mathcal{H}$, the $\mathcal{H}$-elimination distance of a graph $G$ is the minimum number of rounds needed to reduce $G$ to a member of $\mathcal{H}$ by removing one vertex from each connected component in each…

数据结构与算法 · 计算机科学 2021-06-09 Bart M. P. Jansen , Jari J. H. de Kroon

d-Hitting Set is the NP-hard problem of selecting at most k vertices of a hypergraph so that each hyperedge, all of which have cardinality at most d, contains at least one selected vertex. The applications of d-Hitting Set are, for example,…

离散数学 · 计算机科学 2014-07-16 René van Bevern

We present a novel graph embedding space (i.e., a set of measures on graphs) for performing statistical analyses of networks. Key improvements over existing approaches include discovery of "motif-hubs" (multiple overlapping significant…

无序系统与神经网络 · 物理学 2007-05-23 Etay Ziv , Robin Koytcheff , Manuel Middendorf , Chris Wiggins

Time-varying mixture densities occur in many scenarios, for example, the distributions of keywords that appear in publications may evolve from year to year, video frame features associated with multiple targets may evolve in a sequence. Any…

机器学习 · 统计学 2016-04-19 Cheng Luo , Yang Xiang , Richard Yi Da Xu

Various types of promising techniques have come into being for influence maximization whose aim is to identify influential nodes in complex networks. In essence, real-world applications usually have high requirements on the balance between…

社会与信息网络 · 计算机科学 2024-09-24 Yi Liu , Xiaoan Tang , Witold Pedrycz , Qiang Zhang

Hitting Set is a classic problem in combinatorial optimization. Its input consists of a set system F over a finite universe U and an integer t; the question is whether there is a set of t elements that intersects every set in F. The Hitting…

数据结构与算法 · 计算机科学 2015-07-27 Bart M. P. Jansen

We propose the deep demixing (DDmix) model, a graph autoencoder that can reconstruct epidemics evolving over networks from partial or aggregated temporal information. Assuming knowledge of the network topology but not of the epidemic model,…

社会与信息网络 · 计算机科学 2023-06-14 Boning Li , Gojko Čutura , Ananthram Swami , Santiago Segarra