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Radio source detection through conventional algorithms has been unreliable when trying to solve for large number of sources in the presence of low SINR and less number of snapshots. We address this by reformulating source detection as a…

Signal Processing · Electrical Eng. & Systems 2023-02-02 Jayakrishnan Vijayamohanan , Arjun Gupta , Oameed Noakoasteen , Sotirios Goudos , Christos Christodoulou

Big data applications, such as medical imaging and genetics, typically generate datasets that consist of few observations n on many more variables p, a scenario that we denote as p>>n. Traditional data processing methods are often…

Data Analysis, Statistics and Probability · Physics 2016-05-18 Magnus O. Ulfarsson , Frosti Palsson , Jakob Sigurdsson , Johannes R. Sveinsson

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

A method is proposed, based on scan statistics, to detect, identify, and localize illicit radiological material using mobile sensors in an urban environment. Our method handles varying levels of background radiation that change according to…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Michael D. Porter , Alphonse Akakpo

Linear discriminant analysis (LDA) based classifiers tend to falter in many practical settings where the training data size is smaller than, or comparable to, the number of features. As a remedy, different regularized LDA (RLDA) methods…

Machine Learning · Computer Science 2021-03-30 Alam Zaib , Tarig Ballal , Shahid Khattak , Tareq Y. Al-Naffouri

Dynamic spectrum access (DSA) benefits from detection and classification of interference sources including in-network users, out-network users, and jammers that may all coexist in a wireless network. We present a deep learning based signal…

Networking and Internet Architecture · Computer Science 2019-09-27 Yi Shi , Kemal Davaslioglu , Yalin E. Sagduyu , William C. Headley , Michael Fowler , Gilbert Green

Linear Discriminant Analysis (LDA) is a fundamental method for classification. Its simple linear structure facilitates interpretation, and it is naturally suited to multi-class settings. LDA is also closely connected to several classical…

Methodology · Statistics 2026-04-09 Xin Bing , Bingqing Li , Marten Wegkamp

We applied three statistical classification techniques - linear discriminant analysis (LDA), logistic regression and random forests - to three astronomical datasets associated with searches for interstellar masers. We compared the…

Instrumentation and Methods for Astrophysics · Physics 2016-04-27 Ellen M. Manning , Barbara R. Holland , Simon P. Ellingsen , Shari L. Breen , Xi Chen , Melissa Humphries

Despite the growing number of gamma-ray sources detected by Fermi-LAT, about one third of the sources in each survey remains of uncertain type. We present a new deep neural network approach for the classification of unidentified or…

High Energy Astrophysical Phenomena · Physics 2021-09-28 Thorben Finke , Michael Krämer , Silvia Manconi

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

Linear discriminant analysis (LDA) is a widely used technique for data classification. The method offers adequate performance in many classification problems, but it becomes inefficient when the data covariance matrix is ill-conditioned.…

Machine Learning · Statistics 2024-02-08 Maaz Mahadi , Tarig Ballal , Muhammad Moinuddin , Tareq Y. Al-Naffouri , Ubaid M. Al-Saggaf

The ability to search for radiation sources is of interest to the Homeland Security community. The hope is to find any radiation sources which may pose a reasonable chance for harm in a terrorist act. The best chance of success for search…

Signal Processing · Electrical Eng. & Systems 2021-03-11 William P. Ford , Emma Hague , Tom McCullough , Eric Moore , Johanna Turk

Radiation source detection has seen various applications in the past decade, ranging from the detection of dirty bombs in public places to scanning critical nuclear facilities for leakage or flaws, and in the autonomous inspection of…

Robotics · Computer Science 2018-01-10 Dhruv Shah , Sebastian Scherer

Detecting diffuse radio emission, such as from halos, in galaxy clusters is crucial for understanding large-scale structure formation in the universe. Traditional methods, which rely on X-ray and Sunyaev-Zeldovich (SZ) cluster…

Astrophysics of Galaxies · Physics 2025-06-04 Ashutosh K. Mishra , Emma Tolley , Shreyam Parth Krishna , Jean-Paul Kneib

As one of the most popular linear subspace learning methods, the Linear Discriminant Analysis (LDA) method has been widely studied in machine learning community and applied to many scientific applications. Traditional LDA minimizes the…

Machine Learning · Computer Science 2019-07-02 Feiping Nie , Hua Wang , Zheng Wang , Heng Huang

Machine learning has emerged as a powerful tool in the field of gamma-ray astrophysics. The algorithms can distinguish between different source types, such as blazars and pulsars, and help uncover new insights into the high-energy universe.…

High Energy Astrophysical Phenomena · Physics 2024-01-05 Gopal Bhatta , Sarvesh Gharat , Abhimanyu Borthakur , Aman Kumar

The field of radio astronomy is witnessing a boom in the amount of data produced per day due to newly commissioned radio telescopes. One of the most crucial problems in this field is the automatic classification of extragalactic radio…

Instrumentation and Methods for Astrophysics · Physics 2023-08-04 Abdollah Masoud Darya , Ilias Fernini , Marley Vellasco , Abir Hussain

Source localization and spectral estimation are among the most fundamental problems in statistical and array signal processing. Methods which rely on the orthogonality of the signal and noise subspaces, such as Pisarenko's method, MUSIC,…

Information Theory · Computer Science 2019-04-16 Matthew W. Morency , Sergiy A. Vorobyov , Geert Leus

The automatic classification of X-ray detections is a necessary step in extracting astrophysical information from compiled catalogs of astrophysical sources. Classification is useful for the study of individual objects, statistics for…

Instrumentation and Methods for Astrophysics · Physics 2024-01-30 Víctor Samuel Pérez-Díaz , Juan Rafael Martínez-Galarza , Alexander Caicedo , Raffaele D'Abrusco
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