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We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

In data stream clustering, systematic theory of stream clustering algorithms remains relatively scarce. Recently, density-based methods have gained attention. However, existing algorithms struggle to simultaneously handle arbitrarily…

Machine Learning · Computer Science 2026-05-07 Qifen Zeng , Haomin Bao , Yuanzhuo Hu , Zirui Zhang , Yuheng Zheng , Luosheng Wen

A growing number of applications that generate massive streams of data need intelligent data processing and online analysis. Real-time surveillance systems, telecommunication systems, sensor networks and other dynamic environments are such…

Databases · Computer Science 2011-05-11 Mahnoosh Kholghi , Mohammadreza Keyvanpour

The problem of dimension reduction is of increasing importance in modern data analysis. In this paper, we consider modeling the collection of points in a high dimensional space as a union of low dimensional subspaces. In particular we…

Machine Learning · Statistics 2020-06-12 Weiwei Li , Jan Hannig , Sayan Mukherjee

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

We consider the problem of clustering a set of high-dimensional data points into sets of low-dimensional linear subspaces. The number of subspaces, their dimensions, and their orientations are unknown. We propose a simple and low-complexity…

Information Theory · Computer Science 2013-03-18 Reinhard Heckel , Helmut Bölcskei

Identification of the clusters from an unlabeled data set is one of the most important problems in Unsupervised Machine Learning. The state of the art clustering algorithms are based on either the statistical properties or the geometric…

Machine Learning · Computer Science 2018-01-04 Sambarta Dasgupta , Keivan Ebrahimi , Umesh Vaidya

We present methods for k-means clustering on a stream with a focus on providing fast responses to clustering queries. Compared to the current state-of-the-art, our methods provide substantial improvement in the query time for cluster…

Data Structures and Algorithms · Computer Science 2018-12-10 Yu Zhang , Kanat Tangwongsan , Srikanta Tirthapura

Many real-world data stream applications not only suffer from concept drift but also class imbalance. Yet, very few existing studies investigated this joint challenge. Data difficulty factors, which have been shown to be key challenges in…

Machine Learning · Computer Science 2023-08-30 Chun Wai Chiu , Leandro L. Minku

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

Data Structures and Algorithms · Computer Science 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

Examining most streaming clustering algorithms leads to the understanding that they are actually incremental classification models. They model existing and newly discovered structures via summary information that we call footprints.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Wenlong Wu , James M. Keller , Jeffrey Dale , James C. Bezdek

We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

Statistics Theory · Mathematics 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

Given a graph with millions of nodes, what patterns exist in the distributions of node characteristics, and how can we detect them and separate anomalous nodes in a way similar to human vision? In this paper, we propose a vision-guided…

Social and Information Networks · Computer Science 2017-10-25 Wenjie Feng , Shenghua Liu , Christos Faloutsos , Bryan Hooi , Huawei Shen , Xueqi Cheng

The paper considers the problem of anomaly detection in 3D images of fibre materials. The spatial Stochastic Expectation Maximisation algorithm and Adaptive Weights Clustering are applied to solve this problem. The initial 3D grey scale…

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

Machine Learning · Computer Science 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? Existing approaches aim to detect individually…

Machine Learning · Computer Science 2020-08-25 Siddharth Bhatia , Bryan Hooi , Minji Yoon , Kijung Shin , Christos Faloutsos

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…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Data stream mining aims at extracting meaningful knowledge from continually evolving data streams, addressing the challenges posed by nonstationary environments, particularly, concept drift which refers to a change in the underlying data…

Machine Learning · Computer Science 2025-01-03 Kleanthis Malialis , Jin Li , Christos G. Panayiotou , Marios M. Polycarpou

An important task in network analysis is the detection of anomalous events in a network time series. These events could merely be times of interest in the network timeline or they could be examples of malicious activity or network…

Machine Learning · Computer Science 2016-08-03 Timothy La Fond , Jennifer Neville , Brian Gallagher

Traffic congestion anomaly detection is of paramount importance in intelligent traffic systems. The goals of transportation agencies are two-fold: to monitor the general traffic conditions in the area of interest and to locate road segments…

Machine Learning · Computer Science 2022-06-30 Zhuangwei Kang , Ayan Mukhopadhyay , Aniruddha Gokhale , Shijie Wen , Abhishek Dubey