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Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

Recent advances in digitization have led to the availability of multivariate time series data in various domains, enabling real-time monitoring of operations. Identifying abnormal data patterns and detecting potential failures in these…

Machine Learning · Computer Science 2023-10-10 Fan Wang , Keli Wang , Boyu Yao

Adaptive learning is necessary for non-stationary environments where the learning machine needs to forget past data distribution. Efficient algorithms require a compact model update to not grow in computational burden with the incoming data…

Machine Learning · Computer Science 2023-07-11 Vanessa Gómez-Verdejo , Emilio Parrado-Hernández , Manel Martínez-Ramón

State-space models are used in a wide range of time series analysis formulations. Kalman filtering and smoothing are work-horse algorithms in these settings. While classic algorithms assume Gaussian errors to simplify estimation, recent…

Optimization and Control · Mathematics 2018-07-02 Jonathan Jonker , Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster

Unsupervised anomaly detection in time series is essential in industrial applications, as it significantly reduces the need for manual intervention. Multivariate time series pose a complex challenge due to their feature and temporal…

Machine Learning · Computer Science 2024-08-26 Zhe Liu , Xiang Huang , Jingyun Zhang , Zhifeng Hao , Li Sun , Hao Peng

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

The prevalence of networked sensors and actuators in many real-world systems such as smart buildings, factories, power plants, and data centers generate substantial amounts of multivariate time series data for these systems. The rich sensor…

Machine Learning · Computer Science 2019-01-17 Dan Li , Dacheng Chen , Lei Shi , Baihong Jin , Jonathan Goh , See-Kiong Ng

We propose a novel online Gaussian process (GP) model that is capable of capturing long-term memory in sequential data in an online learning setting. Our model, Online HiPPO Sparse Variational Gaussian Process (OHSVGP), leverages the HiPPO…

Machine Learning · Computer Science 2025-09-30 Wenlong Chen , Naoki Kiyohara , Harrison Bo Hua Zhu , Jacob Curran-Sebastian , Samir Bhatt , Yingzhen Li

We propose a new method for automatically detecting monotonic input-output relationships from data using Gaussian Process (GP) models with virtual derivative observations. Our results on synthetic and real datasets show that the proposed…

Methodology · Statistics 2016-10-19 Eero Siivola , Juho Piironen , Aki Vehtari

Anomaly detection in process mining focuses on identifying anomalous cases or events in process executions. The resulting diagnostics are used to provide measures to prevent fraudulent behavior, as well as to derive recommendations for…

Machine Learning · Computer Science 2022-03-21 Suhwan Lee , Xixi Lu , Hajo A. Reijers

Modern distributed cyber-physical systems (CPSs) encounter a large variety of physical faults and cyber anomalies and in many cases, they are vulnerable to catastrophic fault propagation scenarios due to strong connectivity among the…

Machine Learning · Computer Science 2016-05-23 Chao Liu , Sambuddha Ghosal , Zhanhong Jiang , Soumik Sarkar

In this work, we propose a new, fast and scalable method for anomaly detection in large time-evolving graphs. It may be a static graph with dynamic node attributes (e.g. time-series), or a graph evolving in time, such as a temporal network.…

Social and Information Networks · Computer Science 2019-01-29 Volodymyr Miz , Benjamin Ricaud , Kirell Benzi , Pierre Vandergheynst

We examine an analytic variational inference scheme for the Gaussian Process State Space Model (GPSSM) - a probabilistic model for system identification and time-series modelling. Our approach performs variational inference over both the…

Machine Learning · Statistics 2018-12-11 Alessandro Davide Ialongo , Mark van der Wilk , Carl Edward Rasmussen

When an agent, person, vehicle or robot is moving through an unknown environment without GNSS signals, online mapping of nonlinear terrains can be used to improve position estimates when the agent returns to a previously mapped area.…

Machine Learning · Computer Science 2025-05-22 Frida Marie Viset , Rudy Helmons , Manon Kok

Sparse pseudo-point approximations for Gaussian process (GP) models provide a suite of methods that support deployment of GPs in the large data regime and enable analytic intractabilities to be sidestepped. However, the field lacks a…

Machine Learning · Statistics 2017-11-15 Thang D. Bui , Cuong V. Nguyen , Richard E. Turner

Differential equations are important mechanistic models that are integral to many scientific and engineering applications. With the abundance of available data there has been a growing interest in data-driven physics-informed models.…

Machine Learning · Computer Science 2025-02-04 Oliver Hamelijnck , Arno Solin , Theodoros Damoulas

Sepsis is a poorly understood and potentially life-threatening complication that can occur as a result of infection. Early detection and treatment improves patient outcomes, and as such it poses an important challenge in medicine. In this…

Despite the many attempts and approaches for anomaly detection explored over the years, the automatic detection of rare events in data communication networks remains a complex problem. In this paper we introduce Net-GAN, a novel approach to…

Artificial Intelligence · Computer Science 2020-10-19 Gastón García González , Pedro Casas , Alicia Fernández , Gabriel Gómez

Boundary detection has long been a fundamental tool for image processing and computer vision, supporting the analysis of static and time-varying data. In this work, we built upon the theory of Graph Signal Processing to propose a novel…

Graphics · Computer Science 2019-09-10 Luis Gustavo Nonato , Fabiano Petronetto e Claudio Silva

Earth observation from satellite sensory data poses challenging problems, where machine learning is currently a key player. In recent years, Gaussian Process (GP) regression has excelled in biophysical parameter estimation tasks from…

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