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Related papers: Collective anomaly detection in High-dimensional V…

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In recent years, there has been a growing interest in identifying anomalous structure within multivariate data streams. We consider the problem of detecting collective anomalies, corresponding to intervals where one or more of the data…

Methodology · Statistics 2019-09-05 Alexander T M Fisch , Idris A Eckley , Paul Fearnhead

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis

In this manuscript, we study quantile regression in partial functional linear model where response is scalar and predictors include both scalars and multiple functions. Wavelet basis are adopted to better approximate functional slopes while…

Statistics Theory · Mathematics 2017-12-05 Dengdeng Yu , Li Zhang , Ivan Mizera , Bei Jiang , Linglong Kong

Recent efforts towards video anomaly detection (VAD) try to learn a deep autoencoder to describe normal event patterns with small reconstruction errors. The video inputs with large reconstruction errors are regarded as anomalies at the test…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Yuandu Lai , Yahong Han , Yaowei Wang

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is performed by solving an L1-regularized linear regression problem, commonly referred to as Lasso or Basis Pursuit. In this…

Machine Learning · Statistics 2015-05-19 Pablo Sprechmann , Ignacio Ramírez , Guillermo Sapiro , Yonina Eldar

Detecting anomalies in time series data is a critical task across many domains. The challenge intensifies when anomalies are sparse and the data are multivariate with relational dependencies across sensors or nodes. Traditional univariate…

Machine Learning · Computer Science 2025-03-06 Sneh Pillai

Low-count time series describe sparse or intermittent events, which are prevalent in large-scale online platforms that capture and monitor diverse data types. Several distinct challenges surface when modelling low-count time series,…

Machine Learning · Computer Science 2023-11-21 Philipp Renz , Kurt Cutajar , Niall Twomey , Gavin K. C. Cheung , Hanting Xie

The problem of broad practical interest in spatiotemporal data analysis, i.e., discovering interpretable dynamic patterns from spatiotemporal data, is studied in this paper. Towards this end, we develop a time-varying reduced-rank vector…

Machine Learning · Computer Science 2022-11-29 Xinyu Chen , Chengyuan Zhang , Xiaoxu Chen , Nicolas Saunier , Lijun Sun

This paper considers the recovery of group sparse signals over a multi-agent network, where the measurements are subject to sparse errors. We first investigate the robust group LASSO model and its centralized algorithm based on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-12 Manxi Wang , Yongcheng Li , Xiaohan Wei , Qing Ling

Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider settings where the units of interest result in multiple…

Methodology · Statistics 2025-12-22 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro

Network data are increasingly common in the social sciences and infectious disease epidemiology. Analyses often link network structure to node-level covariates, but existing methods falter with sparse networks and high-dimensional node…

Methodology · Statistics 2026-02-05 Emma G Crenshaw , Yuhua Zhang , Jukka-Pekka Onnela

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. In this article, the problem of detecting…

Methodology · Statistics 2017-08-10 Abolfazl Safikhani , Ali Shojaie

Intrusion detection for computer network systems becomes one of the most critical tasks for network administrators today. It has an important role for organizations, governments and our society due to its valuable resources on computer…

Machine Learning · Computer Science 2017-03-30 Loic Bontemps , Van Loi Cao , James McDermott , Nhien-An Le-Khac

We consider sparse matrix estimation where the goal is to estimate an $n\times n$ matrix from noisy observations of a small subset of its entries. We analyze the estimation error of the popularly utilized collaborative filtering algorithm…

Statistics Theory · Mathematics 2025-07-29 Christian Borgs , Jennifer Chayes , Devavrat Shah , Christina Lee Yu

Sparse prediction with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm for selection…

Methodology · Statistics 2021-12-22 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel

We consider online change detection of high dimensional data streams with sparse changes, where only a subset of data streams can be observed at each sensing time point due to limited sensing capacities. On the one hand, the detection…

Machine Learning · Statistics 2020-09-23 Jie Guo , Hao Yan , Chen Zhang , Steven Hoi

We consider the change detection problem where the pre-change observation vectors are purely noise and the post-change observation vectors are noise-corrupted compressive measurements of sparse signals with a common support, measured using…

Signal Processing · Electrical Eng. & Systems 2019-01-25 Aditi Jain , Pradeep Sarvepalli , Srikrishna Bhashyam , Arun Pachai Kannu

We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

Machine Learning · Statistics 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

In this work we consider the problem of anomaly detection in heterogeneous, multivariate, variable-length time series datasets. Our focus is on the aviation safety domain, where data objects are flights and time series are sensor readings…

Machine Learning · Computer Science 2016-03-01 Igor Melnyk , Arindam Banerjee , Bryan Matthews , Nikunj Oza