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The analysis of large collections of image data is still a challenging problem due to the difficulty of capturing the true concepts in visual data. The similarity between images could be computed using different and possibly multimodal…

Information Retrieval · Computer Science 2017-03-07 Renata Khasanova , Xiaowen Dong , Pascal Frossard

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

Statistics Theory · Mathematics 2019-06-18 Jason M. Klusowski , Yihong Wu

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-02-14 Madeline Navarro , Santiago Segarra

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

Exploring small connected and induced subgraph patterns (CIS patterns, or graphlets) has recently attracted considerable attention. Despite recent efforts on computing the number of instances a specific graphlet appears in a large graph…

Social and Information Networks · Computer Science 2016-05-02 Pinghui Wang , Xiangliang Zhang , Zhenguo Li , Jiefeng Cheng , John C. S. Lui , Don Towsley , Junzhou Zhao , Jing Tao , Xiaohong Guan

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

Graph embedding has recently gained momentum in the research community, in particular after the introduction of random walk and neural network based approaches. However, most of the embedding approaches focus on representing the local…

Machine Learning · Computer Science 2020-02-19 Joerg Schloetterer , Martin Wehking , Fatemeh Salehi Rizi , Michael Granitzer

Network sampling is integral to the analysis of social, information, and biological networks. Since many real-world networks are massive in size, continuously evolving, and/or distributed in nature, the network structure is often sampled in…

Social and Information Networks · Computer Science 2012-11-16 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

In the past few years, the storage and analysis of large-scale and fast evolving networks present a great challenge. Therefore, a number of different techniques have been proposed for sampling large networks. In general, network exploration…

Social and Information Networks · Computer Science 2015-06-10 Neli Blagus , Lovro Šubelj , Marko Bajec

Many real-world problems are naturally modeled as heterogeneous graphs, where nodes and edges represent multiple types of entities and relations. Existing learning models for heterogeneous graph representation usually depend on the…

Graphlets are defined as k-node connected induced subgraph patterns. For an undirected graph, 3-node graphlets include close triangle and open triangle. When k = 4, there are six types of graphlets, e.g., tailed-triangle and clique are two…

Machine Learning · Computer Science 2018-10-09 Xutong Liu , Yu-Zhen Janice Chen , John C. S. Lui , Konstantin Avrachenkov

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Graph neural networks have gained prominence due to their excellent performance in many classification and prediction tasks. In particular, they are used for node classification and link prediction which have a wide range of applications in…

Machine Learning · Computer Science 2022-02-09 Cenk Baykal , Vamsi K. Potluru , Sameena Shah , Manuela M. Veloso

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

From social science to biology, numerous applications often rely on graphlets for intuitive and meaningful characterization of networks at both the global macro-level as well as the local micro-level. While graphlets have witnessed a…

Social and Information Networks · Computer Science 2016-02-17 Nesreen K. Ahmed , Jennifer Neville , Ryan A. Rossi , Nick Duffield , Theodore L. Willke

Efficient techniques to navigate networks with local information are fundamental to sample large-scale online social systems and to retrieve resources in peer-to-peer systems. Biased random walks, i.e. walks whose motion is biased on…

Physics and Society · Physics 2016-06-29 Federico Battiston , Vincenzo Nicosia , Vito Latora

Traditionally, graph neural networks have been trained using a single observed graph. However, the observed graph represents only one possible realization. In many applications, the graph may encounter uncertainties, such as having…

Machine Learning · Computer Science 2024-10-10 See Hian Lee , Feng Ji , Kelin Xia , Wee Peng Tay

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

Information Theory · Computer Science 2018-01-16 Mihai-Alin Badiu , Justin P. Coon