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Robust anomaly detection is a requirement for monitoring complex modern systems with applications such as cyber-security, fraud prevention, and maintenance. These systems generate multiple correlated time series that are highly seasonal and…

Machine Learning · Computer Science 2019-11-19 Farzaneh Khoshnevisan , Zhewen Fan

This paper presents a practical approach for detecting non-stationarity in time series prediction. This method is called SAFE and works by monitoring the evolution of the spectral contents of time series through a distance function. This…

Machine Learning · Computer Science 2018-05-18 Arief Koesdwiady , Fakhri Karray

Robust low-rank approximation under row-wise adversarial corruption can be achieved with a single pass, randomized procedure that detects and removes outlier rows by thresholding their projected norms. We propose a scalable, non-iterative…

Machine Learning · Computer Science 2025-04-04 Aidan Tiruvan

Evaluating anomaly detection algorithms in time series data is critical as inaccuracies can lead to flawed decision-making in various domains where real-time analytics and data-driven strategies are essential. Traditional performance…

Machine Learning · Computer Science 2024-05-21 Ramin Ghorbani , Marcel J. T. Reinders , David M. J. Tax

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

Reservoir computing (RC) establishes the basis for the processing of time-series data by exploiting the high-dimensional spatiotemporal response of a recurrent neural network to an input signal. In particular, RC trains only the output…

Machine Learning · Computer Science 2025-10-17 Hayato Nihei , Sou Nobukawa , Yusuke Sakemi , Kazuyuki Aihara

This paper presents a new approach, based on polynomial optimization and the method of moments, to the problem of anomaly detection. The proposed technique only requires information about the statistical moments of the normal-state…

Optimization and Control · Mathematics 2015-06-02 Jose A. Lopez , Octavia Camps , Mario Sznaier

Random projection is a common technique for designing algorithms in a variety of areas, including information retrieval, compressive sensing and measuring of outlyingness. In this work, the original random projection outlyingness measure is…

Signal Processing · Electrical Eng. & Systems 2021-08-02 Martin Bauw , Santiago Velasco-Forero , Jesus Angulo , Claude Adnet , Olivier Airiau

Anomaly detection in dynamic graphs presents a significant challenge due to the temporal evolution of graph structures and attributes. The conventional approaches that tackle this problem typically employ an unsupervised learning framework,…

Machine Learning · Computer Science 2024-08-16 Jie Liu , Xuequn Shang , Xiaolin Han , Kai Zheng , Hongzhi Yin

Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

Machine Learning · Computer Science 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

We present a novel algorithm for anomaly detection on very large datasets and data streams. The method, named EXPected Similarity Estimation (EXPoSE), is kernel-based and able to efficiently compute the similarity between new data points…

Machine Learning · Computer Science 2016-06-07 Markus Schneider , Wolfgang Ertel , Fabio Ramos

We propose a robust principal component analysis (RPCA) framework to recover low-rank and sparse matrices from temporal observations. We develop an online version of the batch temporal algorithm in order to process larger datasets or…

Machine Learning · Statistics 2022-08-04 Hong-Lan Botterman , Julien Roussel , Thomas Morzadec , Ali Jabbari , Nicolas Brunel

Random projections (RP) are a popular tool for reducing dimensionality while preserving local geometry. In many applications the data set to be projected is given to us in advance, yet the current RP techniques do not make use of…

Machine Learning · Computer Science 2019-06-25 Nick Ryder , Zohar Karnin , Edo Liberty

Anomalies in time-series data give essential and often actionable information in many applications. In this paper we consider a model-free anomaly detection method for univariate time-series which adapts to non-stationarity in the data…

Machine Learning · Statistics 2017-06-13 Vladislav Ishimtsev , Ivan Nazarov , Alexander Bernstein , Evgeny Burnaev

Online sensing plays an important role in advancing modern manufacturing. The real-time sensor signals, which can be stored as high-resolution time series data, contain rich information about the operation status. One of its popular usages…

Machine Learning · Computer Science 2025-10-14 Frida Cantu , Salomon Ibarra , Arturo Gonzales , Jesus Barreda , Chenang Liu , Li Zhang

Approximate variational inference has shown to be a powerful tool for modeling unknown complex probability distributions. Recent advances in the field allow us to learn probabilistic models of sequences that actively exploit spatial and…

Machine Learning · Statistics 2016-06-15 Maximilian Soelch , Justin Bayer , Marvin Ludersdorfer , Patrick van der Smagt

Time series anomaly detection plays a crucial role in a wide range of real-world applications. Given that time series data can exhibit different patterns at different sampling granularities, multi-scale modeling has proven beneficial for…

Machine Learning · Computer Science 2025-10-15 Beibu Li , Qichao Shentu , Yang Shu , Hui Zhang , Ming Li , Ning Jin , Bin Yang , Chenjuan Guo

As large-scale time-series data can easily be found in real-world applications, multivariate time-series anomaly detection has played an essential role in diverse industries. It enables productivity improvement and maintenance cost…

Machine Learning · Computer Science 2022-02-22 Heejeong Choi , Subin Kim , Pilsung Kang

Anomaly detection of multivariate time series is meaningful for system behavior monitoring. This paper proposes an anomaly detection method based on unsupervised Short- and Long-term Mask Representation learning (SLMR). The main idea is to…

Machine Learning · Computer Science 2022-08-24 Qiucheng Miao , Chuanfu Xu , Jun Zhan , Dong Zhu , Chengkun Wu

We consider a class of systems with time-varying parameters, which are written as linear regressions with bounded disturbances. The task is to estimate such parameters under the condition that the regressor is finitely exciting (FE).…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Anton Glushchenko , Konstantin Lastochkin