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This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathematical framework that generalizes the three standard…

Information Theory · Computer Science 2014-06-24 Ben Adcock , Anders C. Hansen , Clarice Poon , Bogdan Roman

Anomaly detection has the potential to discover new physics in unexplored regions of the data. However, choosing the best anomaly detector for a given data set in a model-agnostic way is an important challenge which has hitherto largely…

High Energy Physics - Phenomenology · Physics 2026-01-27 Marie Hein , Gregor Kasieczka , Michael Krämer , Louis Moureaux , Alexander Mück , David Shih

The ability to discriminate similar visual stimuli is an important index of memory function. This ability is widely thought to be supported by expanding the dimensionality of relevant neural codes, such that neural representations for…

Neurons and Cognition · Quantitative Biology 2025-10-14 Dale Zhou , Sharon Mina Noh , Nora C Harhen , Nidhi V Banavar , C. Brock Kirwan , Michael A Yassa , Aaron M Bornstein

In this paper we consider the task of detecting abnormal communication volume occurring at node-level in communication networks. The signal of the communication activity is modeled by means of a clique stream: each occurring communication…

Machine Learning · Computer Science 2019-02-13 Batiste Le Bars , Argyris Kalogeratos

This paper addresses a regression problem in which output label values are the results of sensing the magnitude of a phenomenon. A low value of such labels can mean either that the actual magnitude of the phenomenon was low or that the…

Machine Learning · Computer Science 2023-06-01 Takayuki Katsuki , Takayuki Osogami

Given the scarcity of anomalies in real-world applications, the majority of literature has been focusing on modeling normality. The learned representations enable anomaly detection as the normality model is trained to capture certain key…

Machine Learning · Computer Science 2022-07-05 Feng Xue , Weizhong Yan

With the increasing complexity of the traffic environment, the importance of safety perception in intelligent driving is growing. Conventional methods in the robust perception of intelligent driving focus on training models with anomalous…

Artificial Intelligence · Computer Science 2023-02-03 Haobo Yang , Shiyan Zhang , Zhuoyi Yang , Xinyu Zhang

Anomaly detection is the process of finding data points that deviate from a baseline. In a real-life setting, anomalies are usually unknown or extremely rare. Moreover, the detection must be accomplished in a timely manner or the risk of…

Machine Learning · Computer Science 2019-04-26 Mariem Ben Fadhel , Kofi Nyarko

This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribution F; it includes all models - e.g.…

Information Theory · Computer Science 2010-11-23 Emmanuel J. Candes , Yaniv Plan

The detection of anomalies is essential mining task for the security and reliability in computer systems. Logs are a common and major data source for anomaly detection methods in almost every computer system. They collect a range of…

Machine Learning · Computer Science 2020-08-24 Sasho Nedelkoski , Jasmin Bogatinovski , Alexander Acker , Jorge Cardoso , Odej Kao

Anomaly detection is the task of identifying rarely occurring (i.e. anormal or anomalous) samples that differ from almost all other samples in a dataset. As the patterns of anormal samples are usually not known a priori, this task is highly…

Applications · Statistics 2025-06-30 Nicolas Thewes , Philipp Steinhauer , Patrick Trampert , Markus Pauly , Georg Schneider

Model compression techniques allow to significantly reduce the computational cost associated with data processing by deep neural networks with only a minor decrease in average accuracy. Simultaneously, reducing the model size may have a…

Machine Learning · Computer Science 2021-09-28 Sebastian Cygert , Andrzej Czyżewski

We draw a certain analogy between the classical information-theoretic problem of lossy data compression (source coding) of memoryless information sources and the statistical mechanical behavior of a certain model of a chain of connected…

Statistical Mechanics · Physics 2015-05-20 Neri Merhav

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

Functional Analysis · Mathematics 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

Information Theory · Computer Science 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

Statistical Mechanics · Physics 2024-08-20 Mikiya Doi , Masayuki Ohzeki

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

Information Theory · Computer Science 2013-11-01 Ankit Kundu , Pradosh K. Roy

Industrial control applications require detecting system anomalies as accurately and quickly as possible to enable prompt maintenance. In this context, it is common to consider several possible plant models, each linked to a different…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Alejandro Penacho Riveiros , Matthieu Barreau , Nicola Bastianello

Most deep anomaly detection models are based on learning normality from datasets due to the difficulty of defining abnormality by its diverse and inconsistent nature. Therefore, it has been a common practice to learn normality under the…

Machine Learning · Computer Science 2023-09-19 Minkyung Kim , Jongmin Yu , Junsik Kim , Tae-Hyun Oh , Jun Kyun Choi
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