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Time series anomaly detection (TSAD) focuses on identifying whether observations in streaming data deviate significantly from normal patterns. With the prevalence of connected devices, anomaly detection on time series has become paramount,…

Machine Learning · Computer Science 2025-06-11 Samy-Melwan Vilhes , Gilles Gasso , Mokhtar Z Alaya

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges and subgraphs in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? For example, in intrusion…

Data Structures and Algorithms · Computer Science 2023-07-18 Siddharth Bhatia , Mohit Wadhwa , Kenji Kawaguchi , Neil Shah , Philip S. Yu , Bryan Hooi

Data quality is critical to Intelligent Transportation Systems (ITS), as complete and accurate traffic data underpin reliable decision-making in traffic control and management. Recent advances in low-rank tensor recovery algorithms have…

Machine Learning · Computer Science 2025-11-04 Yiyang Yang , Xiejian Chi , Shanxing Gao , Kaidong Wang , Yao Wang

Tensor, an extension of the vector and matrix to the multi-dimensional case, is a natural way to describe the N-ary relational data. Recently, tensor decomposition methods have been introduced into N-ary relational data and become…

Machine Learning · Computer Science 2021-04-22 Shimin Di , Quanming Yao , Lei Chen

In this article, we derive a Bayesian model to learning the sparse and low rank PARAFAC decomposition for the observed tensor with missing values via the elastic net, with property to find the true rank and sparse factor matrix which is…

Numerical Analysis · Mathematics 2017-05-30 Songting Shi , Xiang Li , Arkadiusz Sitek , Quanzheng Li

This research addresses the problem of adaptive modeling in time-series data streams with clear input-output relationships. This problem is challenging because rapid system changes (regime shifts) caused by environmental factors or input…

Machine Learning · Computer Science 2026-05-27 Ren Fujiwara , Yasuko Matsubara , Yasushi Sakurai

Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

Emerging Technologies · Computer Science 2014-08-26 Andrzej Cichocki

Anomaly detection (AD) plays a vital role across a wide range of real-world domains by identifying data instances that deviate from expected patterns, potentially signaling critical events such as system failures, fraudulent activities, or…

Machine Learning · Computer Science 2025-07-11 Amirhossein Sadough , Mahyar Shahsavari , Mark Wijtvliet , Marcel van Gerven

Modern technological advances have expanded the scope of applications requiring analysis of large-scale datastreams that comprise multiple indefinitely long time series. There is an acute need for statistical methodologies that perform…

Methodology · Statistics 2021-11-03 Jingshen Wang , Lilun Du , Changliang Zou , Zhenke Wu

Given a huge, online stream of time-evolving events with multiple attributes, such as online shopping logs: (item, price, brand, time), and local mobility activities: (pick-up and drop-off locations, time), how can we summarize large,…

Machine Learning · Computer Science 2023-07-07 Kota Nakamura , Yasuko Matsubara , Koki Kawabata , Yuhei Umeda , Yuichiro Wada , Yasushi Sakurai

Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

Machine Learning · Computer Science 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Dynamic Adaptive Streaming over HTTP (DASH) has emerged as an increasingly popular paradigm for video streaming [13], in which a video is segmented into many chunks delivered to users by HTTP request/response over Transmission Control…

Multimedia · Computer Science 2016-07-06 Wen Hu , Zhi Wang , Lifeng Sun

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

Fluid Dynamics · Physics 2019-01-14 Oliver T. Schmidt , Aaron Towne

The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile data analysis tools. We show that…

Numerical Analysis · Computer Science 2015-06-19 A. Cichocki , D. Mandic , A-H. Phan , C. Caiafa , G. Zhou , Q. Zhao , L. De Lathauwer

Consider a stream of retweet events - how can we spot fraudulent lock-step behavior in such multi-aspect data (i.e., tensors) evolving over time? Can we detect it in real time, with an accuracy guarantee? Past studies have shown that dense…

Social and Information Networks · Computer Science 2017-06-13 Kijung Shin , Bryan Hooi , Jisu Kim , Christos Faloutsos

Tensor decomposition (TD) is essential for analyzing high-dimensional sparse data, yet its irregular computations and memory-access patterns pose major performance challenges on modern parallel processors. Prior works rely on…

Machine Learning · Computer Science 2025-09-03 Ahmed E. Helal , Fabio Checconi , Jan Laukemann , Yongseok Soh , Jesmin Jahan Tithi , Fabrizio Petrini , Jee Choi

Low-tubal-rank tensor approximation has been proposed to analyze large-scale and multi-dimensional data. However, finding such an accurate approximation is challenging in the streaming setting, due to the limited computational resources. To…

Machine Learning · Computer Science 2021-08-24 Qianxin Yi , Chenhao Wang , Kaidong Wang , Yao Wang

Given a stream of heterogeneous graphs containing different types of nodes and edges, how can we spot anomalous ones in real-time while consuming bounded memory? This problem is motivated by and generalizes from its application in security…

Social and Information Networks · Computer Science 2016-02-23 Emaad A. Manzoor , Sadegh Momeni , Venkat N. Venkatakrishnan , Leman Akoglu

Coupled matrix and tensor factorizations (CMTF) have emerged as an effective data fusion tool to jointly analyze data sets in the form of matrices and higher-order tensors. The PARAFAC2 model has shown to be a promising alternative to the…

Machine Learning · Computer Science 2023-06-05 Carla Schenker , Xiulin Wang , Evrim Acar

Practical tensor data is often along with time information. Most existing temporal decomposition approaches estimate a set of fixed factors for the objects in each tensor mode, and hence cannot capture the temporal evolution of the objects'…

Machine Learning · Computer Science 2023-11-09 Shikai Fang , Xin Yu , Shibo Li , Zheng Wang , Robert Kirby , Shandian Zhe