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We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

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

Understanding the local structure of a graph provides valuable insights about the underlying phenomena from which the graph has originated. Sampling and examining k-subgraphs is a widely used approach to understand the local structure of a…

Data Structures and Algorithms · Computer Science 2020-01-28 Ryuta Matsuno , Aristides Gionis

Pattern counting in graphs is a fundamental primitive for many network analysis tasks, and a number of methods have been developed for scaling subgraph counting to large graphs. Many real-world networks carry a natural notion of strength of…

Social and Information Networks · Computer Science 2019-10-03 Raunak Kumar , Paul Liu , Moses Charikar , Austin R. Benson

This study presents a hierarchical mining framework for high-dimensional imbalanced data, leveraging a depth graph model to address the inherent performance limitations of conventional approaches in handling complex, high-dimensional data…

Machine Learning · Computer Science 2025-02-07 Yijiashun Qi , Quanchao Lu , Shiyu Dou , Xiaoxuan Sun , Muqing Li , Yankaiqi Li

Consistent sampling is a technique for specifying, in small space, a subset $S$ of a potentially large universe $U$ such that the elements in $S$ satisfy a suitably chosen sampling condition. Given a subset $\mathcal{I}\subseteq U$ it…

Data Structures and Algorithms · Computer Science 2014-04-21 Konstantin Kutzkov , Rasmus Pagh

Based on further studying the low-rank subspace clustering (LRSC) and L2-graph subspace clustering algorithms, we propose a F-graph subspace clustering algorithm with a symmetric constraint (FSSC), which constructs a new objective function…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Kai Xu , Xiao-Jun Wu , Wen-Bo Hu

Data mining has traditionally focused on the task of drawing inferences from large datasets. However, many scientific and engineering domains, such as fluid dynamics and aircraft design, are characterized by scarce data, due to the expense…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Naren Ramakrishnan , Chris Bailey-Kellogg

We consider the problem of sampling from data defined on the nodes of a weighted graph, where the edge weights capture the data correlation structure. As shown recently, using spectral graph theory one can define a cut-off frequency for the…

Information Theory · Computer Science 2014-11-13 Ilan Shomorony , A. Salman Avestimehr

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Sampling random nodes is a fundamental algorithmic primitive in the analysis of massive networks, with many modern graph mining algorithms critically relying on it. We consider the task of generating a large collection of random nodes in…

Social and Information Networks · Computer Science 2021-10-27 Omri Ben-Eliezer , Talya Eden , Joel Oren , Dimitris Fotakis

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

Data Structures and Algorithms · Computer Science 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

The vast amounts of data used in social, business or traffic networks, biology and other natural sciences are often managed in graph-based data sets, consisting of a few thousand up to billions and trillions of vertices and edges,…

Databases · Computer Science 2021-10-22 Matthias Hauck , Ismail Oukid , Holger Fröning

In this paper, we consider the problem of counting and sampling structures in graphs. We define a class of "edge universal labeling problems"---which include proper $k$-colorings, independent sets, and downsets---and describe simple…

Data Structures and Algorithms · Computer Science 2020-08-20 Christine T. Cheng , Will Rosenbaum

Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

Data Structures and Algorithms · Computer Science 2023-03-17 Shanshan Wang , Chenglong Xiao

Over the years, frequent subgraphs have been an important sort of targeted patterns in the pattern mining literatures, where most works deal with databases holding a number of graph transactions, e.g., chemical structures of compounds.…

Databases · Computer Science 2013-07-26 Jialong Han , Ji-Rong Wen

Finding dense subgraphs in a graph is a fundamental graph mining task, with applications in several fields. Algorithms for identifying dense subgraphs are used in biology, in finance, in spam detection, etc. Standard formulations of this…

Data Structures and Algorithms · Computer Science 2018-07-10 G. Nikolentzos , P. Meladianos , Y. Stavrakas , M. Vazirgiannis

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

Small subgraphs (graphlets) are important features to describe fundamental units of a large network. The calculation of the subgraph frequency distributions has a wide application in multiple domains including biology and engineering.…

Machine Learning · Computer Science 2022-07-15 Zhongren Chen , Xinyue Xu , Shengyi Jiang , Hao Wang , Lu Mi