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Many physical processes involve spatio-temporal observations, which can be studied at different spatial and temporal scales. For example, rainfall data measured daily by rain gauges can be considered at daily, monthly or annual temporal…

Applications · Statistics 2017-11-02 Adway Mitra

We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. Similarity-based anomaly detection algorithms detect abnormally large amounts of similarity or…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Ko-Jen Hsiao , Kevin S. Xu , Jeff Calder , Alfred O. Hero

Anomaly detection aims to identify deviations from normal patterns within data. This task is particularly crucial in dynamic graphs, which are common in applications like social networks and cybersecurity, due to their evolving structures…

Machine Learning · Computer Science 2024-12-24 Xiao Yang , Xuejiao Zhao , Zhiqi Shen

Stochastic gradient methods are the workhorse (algorithms) of large-scale optimization problems in machine learning, signal processing, and other computational sciences and engineering. This paper studies Markov chain gradient descent, a…

Optimization and Control · Mathematics 2018-09-13 Tao Sun , Yuejiao Sun , Wotao Yin

Daily operation of a large-scale experiment is a resource consuming task, particularly from perspectives of routine data quality monitoring. Typically, data comes from different sub-detectors and the global quality of data depends on the…

Data Analysis, Statistics and Probability · Physics 2017-11-21 V. Azzolini , M. Borisyak , G. Cerminara , D. Derkach , G. Franzoni , F. De Guio , O. Koval , M. Pierini , A. Pol , F. Ratnikov , F. Siroky , A. Ustyuzhanin , J-R. Vlimant

In this paper we propose novel randomized subspace methods to detect anomalies in Internet Protocol networks. Given a data matrix containing information about network traffic, the proposed approaches perform a normal-plus-anomalous matrix…

Information Theory · Computer Science 2017-04-20 M. Kaloorazi , R. C. de Lamare

Ever growing volume and velocity of data coupled with decreasing attention span of end users underscore the critical need for real-time analytics. In this regard, anomaly detection plays a key role as an application as well as a means to…

Machine Learning · Statistics 2017-10-16 Dhruv Choudhary , Arun Kejariwal , Francois Orsini

Anomaly detection is a crucial task in complex distributed systems. A thorough understanding of the requirements and challenges of anomaly detection is pivotal to the security of such systems, especially for real-world deployment. While…

Deep Learning (DL) is vulnerable to out-of-distribution and adversarial examples resulting in incorrect outputs. To make DL more robust, several posthoc (or runtime) anomaly detection techniques to detect (and discard) these anomalous…

Machine Learning · Computer Science 2021-02-23 Saikiran Bulusu , Bhavya Kailkhura , Bo Li , Pramod K. Varshney , Dawn Song

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

Statistics Theory · Mathematics 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. We review large deviations techniques useful…

Neurons and Cognition · Quantitative Biology 2018-08-15 Rodrigo Cofre , Cesar Maldonado , Fernando Rosas

Because it determines a center-outward ordering of observations in $\mathbb{R}^d$ with $d\geq 2$, the concept of statistical depth permits to define quantiles and ranks for multivariate data and use them for various statistical tasks (e.g.…

Machine Learning · Statistics 2022-02-07 Guillaume Staerman , Pavlo Mozharovskyi , Stéphan Clémençon

Inspired by recent advances in coverage-guided analysis of neural networks, we propose a novel anomaly detection method. We show that the hidden activation values contain information useful to distinguish between normal and anomalous…

Cryptography and Security · Computer Science 2021-02-25 Philip Sperl , Jan-Philipp Schulze , Konstantin Böttinger

We present a novel method for image anomaly detection, where algorithms that use samples drawn from some distribution of "normal" data, aim to detect out-of-distribution (abnormal) samples. Our approach includes a combination of encoder and…

Image and Video Processing · Electrical Eng. & Systems 2020-03-02 Nina Tuluptceva , Bart Bakker , Irina Fedulova , Anton Konushin

Anomaly detection aims to detect data that do not conform to regular patterns, and such data is also called outliers. The anomalies to be detected are often tiny in proportion, containing crucial information, and are suitable for…

Machine Learning · Computer Science 2023-06-06 Fan Xu , Nan Wang , Xibin Zhao

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of sequences of networks were less developed. In this paper we focus on networks…

Disordered Systems and Neural Networks · Physics 2017-04-18 Daniel Fraiman , Nicolas Fraiman , Ricardo Fraiman

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

Methodology · Statistics 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

In general, anomaly detection is the problem of distinguishing between normal data samples with well defined patterns or signatures and those that do not conform to the expected profiles. Financial transactions, customer reviews, social…

Machine Learning · Computer Science 2022-06-10 Paul Irofti , Andrei Patrascu , Andra Baltoiu

Large-scale monitoring, anomaly detection, and root cause analysis of metrics are essential requirements of the internet-services industry. To address the need to continuously monitor millions of metrics, many anomaly detection approaches…

Machine Learning · Computer Science 2022-03-18 Nikhil Galagali