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We address the problem of sequentially selecting and observing processes from a given set to find the anomalies among them. The decision-maker observes one process at a time and obtains a noisy binary indicator of whether or not the…

Machine Learning · Computer Science 2021-05-14 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

Kernel-based estimators such as local polynomial estimators in regression discontinuity designs are often evaluated at multiple bandwidths as a form of sensitivity analysis. However, if in the reported results, a researcher selects the…

Applications · Statistics 2018-03-29 Timothy B. Armstrong , Michal Kolesár

This study explores the concept of high-density anomalies. As opposed to the traditional concept of anomalies as isolated occurrences, high-density anomalies are deviant cases positioned in the most normal regions of the data space. Such…

Machine Learning · Computer Science 2021-04-06 Ralph Foorthuis

This paper presents new methodology for computationally efficient kernel density estimation. It is shown that a large class of kernels allows for exact evaluation of the density estimates using simple recursions. The same methodology can be…

Computation · Statistics 2019-11-12 David P. Hofmeyr

We consider the problem of detecting anomalies in a large dataset. We propose a framework called Partial Identification which captures the intuition that anomalies are easy to distinguish from the overwhelming majority of points by…

Machine Learning · Computer Science 2019-12-10 Parikshit Gopalan , Vatsal Sharan , Udi Wieder

Generating random bit streams is required in various applications, most notably cyber-security. Ensuring high-quality and robust randomness is crucial to mitigate risks associated with predictability and system compromise. True random…

Cryptography and Security · Computer Science 2026-01-27 Cesare Gerolimetto Fabrello , Valeria Rossi , Kamil Witek , Alberto Trombetta , Massimo Caccia

Kernel-based nonparametric hazard rate estimation is considered with a special class of infinite-order kernels that achieves favorable bias and mean square error properties. A fully automatic and adaptive implementation of a density and…

Statistics Theory · Mathematics 2018-10-17 Arthur Berg , Dimitris N Politis , Kagba Suaray , Hui Zeng

Anomaly detection based on one-class classification algorithms is broadly used in many applied domains like image processing (e.g. detection of whether a patient is "cancerous" or "healthy" from mammography image), network intrusion…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Pavel Erofeev , Dmitry Smolyakov

A kernel based procedure for correcting experimental data for distortions due to the finite resolution and limited detector acceptance is presented. The unfolding problem is known to be an ill-posed problem that can not be solved without…

Data Analysis, Statistics and Probability · Physics 2012-09-19 N. D. Gagunashvili , M. Schmelling

This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The…

Machine Learning · Computer Science 2024-08-15 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

This paper proposes an extension of Random Projection Depth (RPD) to cope with multiple modalities and non-convexity on data clouds. In the framework of the proposed method, the RPD is computed in a reproducing kernel Hilbert space. With…

Machine Learning · Statistics 2023-09-07 Akira Tamamori

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data…

Data Analysis, Statistics and Probability · Physics 2015-02-27 Anton Poluektov

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 present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot density estimate. In addition, we…

Statistics Theory · Mathematics 2010-11-12 Z. I. Botev , J. F. Grotowski , D. P. Kroese

The nodes' interconnections on a social network often reflect their dependencies and information-sharing behaviors. Nevertheless, abnormal nodes, which significantly deviate from most of the network concerning patterns or behaviors, can…

Multiagent Systems · Computer Science 2025-08-28 Xiaotong Cheng , Setareh Maghsudi

We leverage recent breakthroughs in neural density estimation to propose a new unsupervised anomaly detection technique (ANODE). By estimating the probability density of the data in a signal region and in sidebands, and interpolating the…

High Energy Physics - Phenomenology · Physics 2020-05-12 Benjamin Nachman , David Shih

Anomaly detection in random fields is an important problem in many applications including the detection of cancerous cells in medicine, obstacles in autonomous driving and cracks in the construction material of buildings. Such anomalies are…

Statistics Theory · Mathematics 2023-11-17 Claudia Kirch , Philipp Klein , Marco Meyer

Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi

Averaging provides an alternative to bandwidth selection for density kernel estimation. We propose a procedure to combine linearly several kernel estimators of a density obtained from different, possibly data-driven, bandwidths. The method…

Statistics Theory · Mathematics 2019-11-05 O. Chernova , F. Lavancier , P. Rochet

The leading workhorse of anomaly (and attack) detection in the literature has been residual-based detectors, where the residual is the discrepancy between the observed output provided by the sensors (inclusive of any tampering along the…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Navid Hashemi , Eduardo Verdugo German , Jonatan Pena Ramirez , Justin Ruths