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While a common assumption in graph signal analysis is the smoothness of the signals or the band-limitedness of their spectrum, in many instances the spectrum of real graph data may be concentrated at multiple regions of the spectrum,…

Machine Learning · Statistics 2025-02-20 Osman Furkan Kar , Gülce Turhan , Elif Vural

We propose a new approach, the calibrated nonparametric scan statistic (CNSS), for more accurate detection of anomalous patterns in large-scale, real-world graphs. Scan statistics identify connected subgraphs that are interesting or…

Methodology · Statistics 2022-06-28 Chunpai Wang , Daniel B. Neill , Feng Chen

This paper studies graph-based active learning, where the goal is to reconstruct a binary signal defined on the nodes of a weighted graph, by sampling it on a small subset of the nodes. A new sampling algorithm is proposed, which…

Machine Learning · Computer Science 2016-05-19 Eyal En Gad , Akshay Gadde , A. Salman Avestimehr , Antonio Ortega

The subgraph isomorphism finding problem is a well-studied problem in the field of computer science and graph theory, and it aims to enumerate all instances of a query graph in the respective data graph. In this paper, we propose an…

Databases · Computer Science 2023-12-07 Zubair Ali Ansari , Muhammad Abulaish , Irfan Rashid Thoker , Jahiruddin

We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality in ensembles of graphs can be useful in a variety of…

Data Analysis, Statistics and Probability · Physics 2013-06-18 Karthikeyan Rajendran , Ioannis G. Kevrekidis

In graph signal processing, learning the weighted connections between nodes from a set of sample signals is a fundamental task when the underlying relationships are not known a priori. This task is typically addressed by finding a graph…

Machine Learning · Computer Science 2025-06-30 Benjamin T. Brown , Haoxiang Zhang , Daniel L. Lau , Gonzalo R. Arce

Subsequence anomaly detection in long sequences is an important problem with applications in a wide range of domains. However, the approaches proposed so far in the literature have severe limitations: they either require prior domain…

Machine Learning · Computer Science 2022-07-26 Paul Boniol , Themis Palpanas

Real-world data is often times associated with irregular structures that can analytically be represented as graphs. Having access to this graph, which is sometimes trivially evident from domain knowledge, provides a better representation of…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Muhammad Asad Lodhi , Waheed U. Bajwa

The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

Machine Learning · Computer Science 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

While graph-derived signals are widely used in tabular learning, existing studies typically rely on limited experimental setups and average performance comparisons, leaving the statistical reliability and robustness of observed gains…

Artificial Intelligence · Computer Science 2026-03-17 Mario Heidrich , Jeffrey Heidemann , Rüdiger Buchkremer , Gonzalo Wandosell Fernández de Bobadilla

Many studies have been conducted on seeking the efficient solution for subgraph similarity search over certain (deterministic) graphs due to its wide application in many fields, including bioinformatics, social network analysis, and…

Databases · Computer Science 2012-05-31 Ye Yuan , Guoren Wang , Lei Chen , Haixun Wang

Subgraph matching is to find all subgraphs in a data graph that are isomorphic to an existing query graph. Subgraph matching is an NP-hard problem, yet has found its applications in many areas. Many learning-based methods have been proposed…

Discrete Mathematics · Computer Science 2022-11-09 Zixun Lan , Ye Ma , Limin Yu , LingLong Yuan , Fei Ma

We present a novel approach for finding multiple noisily embedded template graphs in a very large background graph. Our method builds upon the graph-matching-matched-filter technique proposed in Sussman et al., with the discovery of…

Machine Learning · Statistics 2024-07-08 Zhirui Li , Ben Johnson , Daniel L. Sussman , Carey E. Priebe , Vince Lyzinski

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Self-supervised learning has shown its promising capability in graph representation learning in recent work. Most existing pre-training strategies usually choose the popular Graph neural networks (GNNs), which can be seen as a special form…

Machine Learning · Computer Science 2023-06-16 Yilin Ding , Zhen Liu , Hao Hao

Graph representation learning seeks to transform complex, high-dimensional graph structures into compact vector spaces that preserve both topology and semantics. Among the various strategies, subgraph-based methods provide an interpretable…

Machine Learning · Computer Science 2025-12-05 Yeamin Kaiser , Muhammed Tasnim Bin Anwar , Bholanath Das

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

Social and Information Networks · Computer Science 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improve the performance of subsequent machine learning tasks, like…

Machine Learning · Computer Science 2020-12-29 Yanyong Huang , Zongxin Shen , Fuxu Cai , Tianrui Li , Fengmao Lv

This paper studies learning the representations of whole graphs in both unsupervised and semi-supervised scenarios. Graph-level representations are critical in a variety of real-world applications such as predicting the properties of…

Machine Learning · Computer Science 2020-01-20 Fan-Yun Sun , Jordan Hoffmann , Vikas Verma , Jian Tang