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In classical information theory, both the form and performance of the optimal detector for additive noise channels can be precisely derived, based on the assumption that the channel noise follows a specific probability distribution or a…

Information Theory · Computer Science 2026-03-20 Wen-Xuan Lang , Guiying Yan , Zhi-Ming Ma

We consider a setting, where the output of a linear dynamical system (LDS) is, with an unknown but fixed probability, replaced by noise. There, we present a robust method for the prediction of the outputs of the LDS and identification of…

Machine Learning · Computer Science 2018-08-06 Jakub Marecek , Tigran Tchrakian

We consider multi-antenna cooperative spectrum sensing in cognitive radio networks, when there may be multiple primary users. A noise-uncertainty-free detector that is optimal in the low signal to noise ratio regime is analyzed in such a…

Information Theory · Computer Science 2012-03-29 Lu Wei , Prathapasinghe Dharmawansa , Olav Tirkkonen

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

Generalized likelihood ratio (GLR) test statistics are often used in the detection of spatial clustering in case-control and case-population datasets to check for a significantly large proportion of cases within some scanning window. The…

Statistics Theory · Mathematics 2009-11-20 Hock Peng Chan

The detection of anomalous activity in graphs is a statistical problem that arises in many applications, such as network surveillance, disease outbreak detection, and activity monitoring in social networks. Beyond its wide applicability,…

Machine Learning · Statistics 2013-12-12 James Sharpnack , Akshay Krishnamurthy , Aarti Singh

Motivated by modern applications of light detection and ranging (LIDAR), we study the model of an optical receiver based on an avalanche photo-diode (APD), followed by electronic circuitry for detection of reflected optical signals and…

Information Theory · Computer Science 2020-04-07 Ner Merhav

Inertial sensors stimulate very large interest, not only for their application but also for fundamental physics tests. Ring laser gyros, which measure angular rotation rate, are certainly among the most sensitive inertial sensors, with…

General Relativity and Quantum Cosmology · Physics 2020-08-10 Angela D. V. Di Virgilio , Nicolò Beverini , Giorgio Carelli , Donatella Ciampini , Francesco Fuso , Enrico Maccioni

Spectrum scarcity is a prevalent problem in wireless networks due to the strict allotment of the spectrum (frequency bands) to licensed users by network regulatory bodies. Such an operation implies that the unlicensed users (secondary…

Networking and Internet Architecture · Computer Science 2023-10-03 Nyashadzashe Tamuka , Khulumani Sibanda

The proliferation of wireless communications has recently created a bottleneck in terms of spectrum availability. Motivated by the observation that the root of the spectrum scarcity is not a lack of resources but an inefficient managing…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Deborah Cohen , Shahar Tsiper , Yonina C. Eldar

Simultaneous localization and tracking (SLAT) in sensor networks aims to determine the positions of sensor nodes and a moving target in a network, given incomplete and inaccurate range measurements between the target and each of the…

Optimization and Control · Mathematics 2016-08-14 Pınar Oğuz-Ekim , João Gomes , João Xavier , Paulo Oliveira

The field of gamma ray astronomy relies heavily on the statistical analysis of data. Because of the paucity of data, and the often large errors associated with detecting gamma rays, analysis and interpretation of the data require…

Astrophysics · Physics 2007-05-23 W. F. Tompkins

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

Detecting the presence of a random wireless source with minimum latency utilizing an array of radio sensors is considered. The problem is studied under the constraint that the analog-to-digital conversion at each sensor is restricted to…

Signal Processing · Electrical Eng. & Systems 2018-05-01 Manuel S. Stein , Michael Fauß

Machine learning models are known to be susceptible to adversarial attacks which can cause misclassification by introducing small but well designed perturbations. In this paper, we consider a classical hypothesis testing problem in order to…

Machine Learning · Statistics 2022-09-07 Bhagyashree Puranik , Upamanyu Madhow , Ramtin Pedarsani

We propose a modified density estimation problem that is highly effective for detecting anomalies in tabular data. Our approach assumes that the density function is relatively stable (with lower variance) around normal samples. We have…

Machine Learning · Computer Science 2024-05-09 Amit Rozner , Barak Battash , Henry Li , Lior Wolf , Ofir Lindenbaum

In this paper, we address the problem of target detection in passive multiple-input-multiple-output (MIMO) radar networks. A generalized likelihood ratio test is derived, assuming prior knowledge of the signal format used in the…

Signal Processing · Electrical Eng. & Systems 2018-10-17 Anantha K. Karthik , Rick S. Blum

Spectrum sensing is of critical importance in any cognitive radio system. When the primary user's signal has uncertain parameters, the likelihood ratio test, which is the theoretically optimal detector, generally has no closed-form…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Ziyu Ye , Qihang Peng , Kelly Levick , Hui Rong , Andrew Gilman , Pamela Cosman , Larry Milstein

The most important problem in telecommunication is bandwidth limitation due to the uncontrolled growth of wireless technology. Deploying dynamic spectrum access techniques is one of the procedures provided for efficient use of bandwidth. In…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Mahdi Mir

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