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In recent years, spectral clustering has become one of the most popular modern clustering algorithms. It is simple to implement, can be solved efficiently by standard linear algebra software, and very often outperforms traditional…

Data Structures and Algorithms · Computer Science 2007-11-02 Ulrike von Luxburg

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

Methodology · Statistics 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

In the present era of large scale surveys, big data presents new challenges to the discovery process for anomalous data. Such data can be indicative of systematic errors, extreme (or rare) forms of known phenomena, or most interestingly,…

Instrumentation and Methods for Astrophysics · Physics 2020-09-17 Daniel Giles , Lucianne Walkowicz

We propose a novel Bayesian optimisation procedure for outlier detection in the Capital Asset Pricing Model. We use a parametric product partition model to robustly estimate the systematic risk of an asset. We assume that the returns follow…

Applications · Statistics 2011-11-18 Maria Elena De Giuli , Mario Alessandro Maggi , Claudia Tarantola

Choosing a meaningful subset of features from high-dimensional observations in unsupervised settings can greatly enhance the accuracy of downstream analysis, such as clustering or dimensionality reduction, and provide valuable insights into…

Machine Learning · Computer Science 2024-12-23 Daniel Segal , Ofir Lindenbaum , Ariel Jaffe

Graph anomaly detection plays a vital role for identifying abnormal instances in complex networks. Despite advancements of methodology based on deep learning in recent years, existing benchmarking approaches exhibit limitations that hinder…

Machine Learning · Computer Science 2024-03-08 Jing Gu , Dongmian Zou

This paper presents a framework for classifying and detecting spatial commission outliers in maritime environments using seabed acoustic sensor networks and log Gaussian Cox processes (LGCPs). By modeling target arrivals as a mixture of…

Machine Learning · Computer Science 2025-08-19 Mingyu Kim , Daniel Stilwell , Jorge Jimenez

We propose a sampling algorithm to perform system identification from a set of input-output graph signal pairs. The dynamics of the systems we study are given by a partially known adjacency matrix and a generic parametric graph filter of…

Signal Processing · Electrical Eng. & Systems 2024-01-01 Martín Sevilla , Santiago Segarra

Unsupervised learning methods are well established in the area of anomaly detection and achieve state of the art performances on outlier datasets. Outliers play a significant role, since they bear the potential to distort the predictions of…

Machine Learning · Computer Science 2024-07-02 Andreas Lohrer , Daniyal Kazempour , Maximilian Hünemörder , Peer Kröger

We present a new methodology for detecting out-of-distribution (OOD) images by utilizing norms of the score estimates at multiple noise scales. A score is defined to be the gradient of the log density with respect to the input data. Our…

Machine Learning · Computer Science 2021-03-24 Ahsan Mahmood , Junier Oliva , Martin Styner

Efficient prediction of internet traffic is essential for ensuring proactive management of computer networks. Nowadays, machine learning approaches show promising performance in modeling real-world complex traffic. However, most existing…

Machine Learning · Computer Science 2022-05-10 Sajal Saha , Anwar Haque , Greg Sidebottom

Detecting outliers which are grossly different from or inconsistent with the remaining dataset is a major challenge in real-world KDD applications. Existing outlier detection methods are ineffective on scattered real-world datasets due to…

Machine Learning · Computer Science 2009-12-30 Ke Zhang , Marcus Hutter , Huidong Jin

An efficient spatial regularization method using superpixel segmentation and graph Laplacian regularization is proposed for sparse hyperspectral unmixing method. Since it is likely to find spectrally similar pixels in a homogeneous region,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Taner Ince

Clustering the nodes of a graph is a cornerstone of graph analysis and has been extensively studied. However, some popular methods are not suitable for very large graphs: e.g., spectral clustering requires the computation of the spectral…

Machine Learning · Computer Science 2025-06-13 Etienne Lasalle , Rémi Vaudaine , Titouan Vayer , Pierre Borgnat , Rémi Gribonval , Paulo Gonçalves , Màrton Karsai

Because of the significant increase in size and complexity of the networks, the distributed computation of eigenvalues and eigenvectors of graph matrices has become very challenging and yet it remains as important as before. In this paper…

Numerical Analysis · Mathematics 2017-11-27 Konstantin Avrachenkov , Philippe Jacquet , Jithin Sreedharan

Most of existing outlier detection methods assume that the outlier factors (i.e., outlierness scoring measures) of data entities (e.g., feature values and data objects) are Independent and Identically Distributed (IID). This assumption does…

Machine Learning · Computer Science 2021-03-23 Guansong Pang , Longbing Cao , Ling Chen

The outlier exposure method is an effective approach to address the unsupervised anomaly sound detection problem. The key focus of this method is how to make the model learn the distribution space of normal data. Based on biological…

Sound · Computer Science 2025-09-22 Xinxin Meng , Jiangtao Guo , Yunxiang Zhang , Shun Huang

We propose a data-analytic method for detecting cellwise outliers. Given a robust covariance matrix, outlying cells (entries) in a row are found by the cellHandler technique which combines lasso regression with a stepwise application of…

Methodology · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw

In a corpus of data, outliers are either errors: mistakes in the data that are counterproductive, or are unique: informative samples that improve model robustness. Identifying outliers can lead to better datasets by (1) removing noise in…

With the progressive advancements in deep graph learning, out-of-distribution (OOD) detection for graph data has emerged as a critical challenge. While the efficacy of auxiliary datasets in enhancing OOD detection has been extensively…

Machine Learning · Computer Science 2024-08-01 Junwei He , Qianqian Xu , Yangbangyan Jiang , Zitai Wang , Yuchen Sun , Qingming Huang
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