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We introduce a Gaussian process-based model for handling of non-stationarity. The warping is achieved non-parametrically, through imposing a prior on the relative change of distance between subsequent observation inputs. The model allows…

Machine Learning · Statistics 2019-12-06 David Tolpin

This letter proposes a new approach for online detection of low-quality synchrophasor data under both normal and event conditions. The proposed approach utilizes the features of synchrophasor data in time and frequency domains to…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Wenyun Ju , Horacio Silva-Saravia , Neeraj Nayak , Wenxuan Yao , Yichen Zhang , Qingxin Shi , Fan Ye

The online monitoring data in distribution networks contain rich information on the running states of the networks. By leveraging the data, this paper proposes a spatio-temporal correlation analysis approach for anomaly detection and…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Xin Shi , Robert Qiu , Zenan Ling , Fan Yang , Haosen Yang , Xing He

Many industrial and engineering processes monitored as times series have smooth trends that indicate normal behavior and occasionally anomalous patterns that can indicate a problem. This kind of behavior can be modeled by a smooth trend,…

Methodology · Statistics 2024-08-07 Matthew Hofkes , Douglas Nychka , Tzahi Cath , Amanda Hering , Craig McGonagill

Multivariate time-series anomaly detection is critically important in many applications, including retail, transportation, power grid, and water treatment plants. Existing approaches for this problem mostly employ either statistical models…

Machine Learning · Computer Science 2023-11-17 Yu Zheng , Huan Yee Koh , Ming Jin , Lianhua Chi , Khoa T. Phan , Shirui Pan , Yi-Ping Phoebe Chen , Wei Xiang

This paper proposes a novel Gaussian process approach to fault removal in time-series data. Fault removal does not delete the faulty signal data but, instead, massages the fault from the data. We assume that only one fault occurs at any one…

Machine Learning · Statistics 2015-07-03 Steven Reece , Roman Garnett , Michael Osborne , Stephen Roberts

We propose a novel group of Gaussian Process based algorithms for fast approximate optimal stopping of time series with specific applications to financial markets. We show that structural properties commonly exhibited by financial time…

Machine Learning · Statistics 2022-10-11 Kshama Dwarakanath , Danial Dervovic , Peyman Tavallali , Svitlana S Vyetrenko , Tucker Balch

Online learning algorithms update models via one sample per iteration, thus efficient to process large-scale datasets and useful to detect malicious events for social benefits, such as disease outbreak and traffic congestion on the fly.…

Machine Learning · Computer Science 2019-05-28 Baojian Zhou , Feng Chen , Yiming Ying

To reduce the curse of dimensionality for Gaussian processes (GP), they can be decomposed into a Gaussian Process Network (GPN) of coupled subprocesses with lower dimensionality. In some cases, intermediate observations are available within…

Machine Learning · Computer Science 2025-02-20 Saksham Kiroriwal , Julius Pfrommer , Jürgen Beyerer

Gaussian process state-space models (GPSSMs) offer a principled framework for learning and inference in nonlinear dynamical systems with uncertainty quantification. However, existing GPSSMs are limited by the use of multiple independent…

Machine Learning · Statistics 2025-12-11 Zhidi Lin , Ying Li , Feng Yin , Juan Maroñas , Alexandre H. Thiéry

Ensuring secure and reliable operations of the power grid is a primary concern of system operators. Phasor measurement units (PMUs) are rapidly being deployed in the grid to provide fast-sampled operational data that should enable quicker…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Christopher Hannon , Deepjyoti Deka , Dong Jin , Marc Vuffray , Andrey Y. Lokhov

A Gaussian process (GP)-based methodology is proposed to emulate complex dynamical computer models (or simulators). The method relies on emulating the numerical flow map of the system over an initial (short) time step, where the flow map is…

Methodology · Statistics 2024-11-26 Hossein Mohammadi , Peter Challenor , Marc Goodfellow

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

Machine Learning · Computer Science 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

Gaussian Processes (\textbf{GPs}) are flexible non-parametric models with strong probabilistic interpretation. While being a standard choice for performing inference on time series, GPs have few techniques to work in a streaming setting.…

Machine Learning · Statistics 2021-07-22 Théo Galy-Fajou , Manfred Opper

Supervised classification methods have been widely utilized for the quality assurance of the advanced manufacturing process, such as additive manufacturing (AM) for anomaly (defects) detection. However, since abnormal states (with defects)…

Machine Learning · Computer Science 2022-11-29 Jihoon Chung , Bo Shen , Zhenyu , Kong

The detection of anomalies in real time is paramount to maintain performance and efficiency across a wide range of applications including web services and smart manufacturing. This paper presents a novel algorithm to detect anomalies in…

Signal Processing · Electrical Eng. & Systems 2020-07-22 Caitríona M. Ryan , Andrew Parnell , Catherine Mahoney

The increasing complexity and scale of telecommunication networks have led to a growing interest in automated anomaly detection systems. However, the classification of anomalies detected on network Key Performance Indicators (KPI) has…

Machine Learning · Computer Science 2023-09-01 Korantin Bordeau-Aubert , Justin Whatley , Sylvain Nadeau , Tristan Glatard , Brigitte Jaumard

Gaussian process state-space models (GPSSMs) provide a principled and flexible approach to modeling the dynamics of a latent state, which is observed at discrete-time points via a likelihood model. However, inference in GPSSMs is…

Machine Learning · Computer Science 2023-07-18 Xuhui Fan , Edwin V. Bonilla , Terence J. O'Kane , Scott A. Sisson

This paper presents an efficient variational inference framework for deriving a family of structured gaussian process regression network (SGPRN) models. The key idea is to incorporate auxiliary inducing variables in latent functions and…

Machine Learning · Computer Science 2021-11-19 Rui Meng , Herbie Lee , Kristofer Bouchard

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo
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