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The ability to quickly and accurately detect anomalous structure within data sequences is an inference challenge of growing importance. This work extends recently proposed post-hoc (offline) anomaly detection methodology to the sequential…

Methodology · Statistics 2020-09-16 Alexander T. M. Fisch , Lawrence Bardwell , Idris A. Eckley

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

Applications · Statistics 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

Features in machine learning problems are often time-varying and may be related to outputs in an algebraic or dynamical manner. The dynamic nature of these machine learning problems renders current higher order accelerated gradient descent…

Optimization and Control · Mathematics 2019-05-29 Joseph E. Gaudio , Travis E. Gibson , Anuradha M. Annaswamy , Michael A. Bolender

We study a statistical procedure based on higher criticism (HC) to address the sparse multi-stream quickest change-point detection problem. Namely, we aim to detect a potential change in the distribution of multiple data streams at some…

Methodology · Statistics 2025-04-22 Tingnan Gong , Alon Kipnis , Yao Xie

Verification of real-time systems involving hard timing constraints and concurrency is of utmost importance. Parametric timed model checking allows for formal verification in the presence of unknown timing constants or uncertainty (e.g.…

Logic in Computer Science · Computer Science 2019-07-31 André Étienne

We propose a methodology for testing linear hypothesis in high-dimensional linear models. The proposed test does not impose any restriction on the size of the model, i.e. model sparsity or the loading vector representing the hypothesis.…

Methodology · Statistics 2019-07-09 Yinchu Zhu , Jelena Bradic

This manuscript makes two contributions to the field of change-point detection. In a generalchange-point setting, we provide a generic algorithm for aggregating local homogeneity testsinto an estimator of change-points in a time series.…

Statistics Theory · Mathematics 2022-12-09 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

We consider the problem of detecting jumps in an otherwise smoothly evolving trend whilst the covariance and higher-order structures of the system can experience both smooth and abrupt changes over time. The number of jump points is allowed…

Methodology · Statistics 2023-12-27 Weichi Wu , Zhou Zhou

In a bivariate setting, we consider the problem of detecting a sparse contamination or mixture component, where the effect manifests itself as a positive dependence between the variables, which are otherwise independent in the main…

Statistics Theory · Mathematics 2020-01-13 Ery Arias-Castro , Rong Huang , Nicolas Verzelen

The progress in modelling time series and, more generally, sequences of structured data has recently revamped research in anomaly detection. The task stands for identifying abnormal behaviors in financial series, IT systems, aerospace…

Machine Learning · Computer Science 2023-04-13 Alessandro Flaborea , Bardh Prenkaj , Bharti Munjal , Marco Aurelio Sterpa , Dario Aragona , Luca Podo , Fabio Galasso

Timely detection of concerning events is an important problem in clinical practice. In this paper, we consider the problem of conditional anomaly detection that aims to identify data instances with an unusual response, such as the omission…

Machine Learning · Computer Science 2026-04-27 Michal Valko , Hamed Valizadegan , Branislav Kveton , Gregory F. Cooper , Milos Hauskrecht

This paper considers the detection of change points in parallel data streams, a problem widely encountered when analyzing large-scale real-time streaming data. Each stream may have its own change point, at which its data has a…

Methodology · Statistics 2023-01-18 Zexian Lu , Yunxiao Chen , Xiaoou Li

The continued digitization of societal processes translates into a proliferation of time series data that cover applications such as fraud detection, intrusion detection, and energy management, where anomaly detection is often essential to…

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

Statistics Theory · Mathematics 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

Many experiments are concerned with the comparison of counts between treatment groups. Examples include the number of successful signups in conversion rate experiments, or the number of errors produced by software versions in canary…

Methodology · Statistics 2023-12-14 Michael Lindon , Alan Malek

Anomaly detection in multivariate time series is an important problem across various fields such as healthcare, financial services, manufacturing or physics detector monitoring. Accurately identifying when unexpected errors or faults occur…

Machine Learning · Computer Science 2025-06-26 Laura Boggia , Rafael Teixeira de Lima , Bogdan Malaescu

Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general…

Statistics Theory · Mathematics 2019-04-02 Daniil Ryabko

Instrumenting programs for performing run-time checking of properties, such as regular shapes, is a common and useful technique that helps programmers detect incorrect program behaviors. This is specially true in dynamic languages such as…

Programming Languages · Computer Science 2018-04-09 Maximiliano Klemen , Nataliia Stulova , Pedro Lopez-Garcia , José F. Morales , Manuel V. Hermenegildo

In the class of streaming anomaly detection algorithms for univariate time series, the size of the sliding window over which various statistics are calculated is an important parameter. To address the anomalous variation in the scale of the…

Applications · Statistics 2017-06-22 B Ravi Kiran
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