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The utilization of statistical methods an their applications within the new field of study known as Topological Data Analysis has has tremendous potential for broadening our exploration and understanding of complex, high-dimensional data…

Applications · Statistics 2016-07-19 Patrick S. Medina , R. W. Doerge

The current need for atomic data to model stellar spectra obtained in various wavelength ranges is described. The level of completeness and accuracy of these data is discussed.

Instrumentation and Methods for Astrophysics · Physics 2015-10-01 R. Monier

We present a time-domain method to detect and correct spectral alterations of signals by employing statistical characterization of waveforms and a pattern-recognition procedure using simple Artificial Neural Networks. The proposed strategy…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Guillermo H. Bustos , Héctor H. Segnorile

This handbook chapter gives a modern introduction to spectral analysis of celestial X-ray sources. Concepts presented include the instrumentation response, the linear modelling approximation, Poisson count statistics and the Gaussian…

High Energy Astrophysical Phenomena · Physics 2023-09-13 Johannes Buchner , Peter Boorman

Machine Learning (ML) models have gained popularity in medical imaging analysis given their expert level performance in many medical domains. To enhance the trustworthiness, acceptance, and regulatory compliance of medical imaging models…

Human-Computer Interaction · Computer Science 2025-06-06 Mischa Dombrowski , Andrea Prenner , Bernhard Kainz

Context. Recently our ability to study stars using asteroseismic techniques has increased dramatically, largely through the use of space based photometric observations. Work has also been done using ground based spectroscopic observations…

Solar and Stellar Astrophysics · Physics 2018-10-03 Jesper Schou

We briefly review recent progress in techniques for modeling and analyzing hyperspectral images and movies, in particular for detecting plumes of both known and unknown chemicals. For detecting chemicals of known spectrum, we extend the…

Machine Learning · Statistics 2016-02-01 Yi , Wang , Guangliang Chen , Mauro Maggioni

Consideration is given to the methods of gaining experimental data on the substances which constitute a part of multicomponent samples to be measured. The methods are applicable to the samples comprising an arbitrary number of components;…

Data Analysis, Statistics and Probability · Physics 2011-12-20 A. Yu. Buki

Spectrum maps, which provide RF spectrum metrics such as power spectral density for every location in a geographic area, find numerous applications in wireless communications such as interference control, spectrum management, resource…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Yves Teganya , Daniel Romero

We present conditions for which X-ray spectra can be ``unfolded'' to present accurate representation of the true source spectra. The method we use to unfold the data is implemented in the \textit{Interactive Spectral Interpretation…

Instrumentation and Methods for Astrophysics · Physics 2024-10-30 Sean J. Gunderson , David P. Huenemoerder

In this work, we propose a novel method for continuous real-time measurement of the dynamics of the nonlinear refractive index n2. This is particularly important for characterizing phenomena or materials (such as biological tissues, gases…

We present a refinement of the Spectral Method by incorporating an optimization method into it and generalize it to two space dimensions. We then apply this Refined Spectral Method as an extremely accurate technique for finding the bound…

Mathematical Physics · Physics 2007-05-23 P. Pedram , M. Mirzaei , S. S. Gousheh

A possible diagnostic is proposed which may be used to infer the different scales underlying the dynamical structure of hadronic resonances using the phenomenon of Schottky anomaly.

High Energy Physics - Phenomenology · Physics 2017-04-28 Aritra Biswas

Wearable devices and sensors have recently become a popular way to collect data, especially in the health sciences. The use of sensors allows patients to be monitored over a period of time with a high observation frequency. Due to the…

Methodology · Statistics 2024-10-16 Nihan Acar-Denizli , Pedro Delicado

To process data obtained during interference experiments in high-energy physics, methods of spectral analysis are employed. Methods of spectral analysis, in which an autoregression model of experimental data is used, such as the maximum…

High Energy Physics - Experiment · Physics 2009-09-25 B. Z. Belashev , M. K. Suleymanov

Automatic discovery and curve fitting of absorption bands in hyperspectral data can enable the analyst to identify materials present in a scene by comparison with library spectra. This procedure is common in laboratory spectra, but is…

Instrumentation and Methods for Astrophysics · Physics 2014-01-23 Adrian J. Brown

Understanding the loss of information in spectral analytics is a crucial first step towards finding root causes for failures and uncertainties using spectral data in artificial intelligence models built from modern complex data science…

Data Analysis, Statistics and Probability · Physics 2025-03-28 A. Schelle , H. Lüling

The widespread adoption of mobile communication technology has led to a severe shortage of spectrum resources, driving the development of cognitive radio technologies aimed at improving spectrum utilization, with spectrum sensing being the…

Signal Processing · Electrical Eng. & Systems 2025-04-11 Shilian Zheng , Zhihao Ye , Luxin Zhang , Keqiang Yue , Zhijin Zhao

Spectral Method is a commonly used scheme to cluster data points lying close to Union of Subspaces by first constructing a Random Geometry Graph, called Subspace Clustering. This paper establishes a theory to analyze this method. Based on…

Machine Learning · Computer Science 2019-07-26 Gen Li , Yuantao Gu

Pseudospectral numerical schemes for solving the Dirac equation in general static curved space are derived using a pseudodifferential representation of the Dirac equation along with a simple Fourier-basis technique. Owing to the presence of…

Numerical Analysis · Mathematics 2020-04-22 Xavier Antoine , François Fillion-Gourdeau , Emmanuel Lorin , Steve McLean