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The method of obtaining confidence intervals on a subset of the total number of parameters (p) of a model used for fitting X-ray spectra is to perturb the best-fitting model until, for each parameter, a range is found for which the change…

Astrophysics · Physics 2009-10-30 T. Yaqoob

Hyperspectral images provide much more information than conventional imaging techniques, allowing a precise identification of the materials in the observed scene, but because of the limited spatial resolution, the observations are usually…

Image and Video Processing · Electrical Eng. & Systems 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

Substances such as chemical compounds are invisible to human eyes, they are usually captured by sensing equipments with their spectral fingerprints. Though spectra of pure chemicals can be identified by visual inspection, the spectra of…

Numerical Analysis · Mathematics 2015-01-07 Yuanchang Sun , Wensong Wu , Jack Xin

The methods of obtaining the average spectral shape in a low statistics regime are presented. Different approaches to averaging are extensively tested with simulated spectra, based on the ASCA responses. The issue of binning up the spectrum…

Astrophysics · Physics 2009-11-10 Piotr Lubinski

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

Methodology · Statistics 2010-11-05 Christopher J. Paciorek

Microscopy is routinely used to image biological structures of interest. Due to imaging constraints, acquired images, also called as micrographs, are typically low-SNR and contain noise. Over the last few years, regression-based tasks like…

Image and Video Processing · Electrical Eng. & Systems 2024-10-16 Ashesh Ashesh , Joran Deschamps , Florian Jug

A general purpose fitting model for one-dimensional astrometric signals is developed, building on a maximum likelihood framework, and its performance is evaluated by simulation over a set of realistic image instances. The fit quality is…

Instrumentation and Methods for Astrophysics · Physics 2013-05-20 M. Gai , D. Busonero , R. Cancelliere

To find efficient screening methods for high dimensional linear regression models, this paper studies the relationship between model fitting and screening performance. Under a sparsity assumption, we show that a subset that includes the…

Methodology · Statistics 2013-03-20 Shifeng Xiong

To accurately estimate locations and velocities of surrounding targets (cars) is crucial for advanced driver assistance systems based on radar sensors. In this paper we derive methods for fusing data from multiple radar sensors in order to…

Signal Processing · Electrical Eng. & Systems 2019-08-08 Bin Zhu , Augusto Ferrante , Johan Karlsson , Mattia Zorzi

In dealing with high-dimensional data sets, factor models are often useful for dimension reduction. The estimation of factor models has been actively studied in various fields. In the first part of this paper, we present a new approach to…

Statistical Finance · Quantitative Finance 2017-11-27 Joongyeub Yeo , George Papanicolaou

The large-scale structure growth index $\gamma$ provides a consistency test of the standard cosmology and is a potential indicator of modified gravity. We investigate the constraints on $\gamma$ from next-generation spectroscopic surveys,…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-12 José Fonseca , Jan-Albert Viljoen , Roy Maartens

Although the theory of constrained least squares (CLS) estimation is well known, it is usually applied with the view that the constraints to be imposed are unavoidable. However, there are cases in which constraints are optional. For…

Computer Vision and Pattern Recognition · Computer Science 2022-01-26 Ramakrishna Kakarala , Jun Wei

Purpose: With the development of spectral CT, several novel spectral filters have been introduced to modulate the spectra, such as split filters and spectral modulators. However, due to the finite size of the focal spot of X-ray source,…

Medical Physics · Physics 2024-11-05 Yifan Deng , Hao Zhou , Hewei Gao

We use the Fisher matrix formalism to study the expansion and growth history of the Universe using galaxy clustering with 2D angular cross-correlation tomography in spectroscopic or high resolution photometric redshift surveys. The radial…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-26 Alex Alarcon , Martin Eriksen , Enrique Gaztanaga

Matching a target spectrum with known spectra in a spectral library is a common method for material identification in hyperspectral imaging research. Hyperspectral spectra exhibit precise absorption features across different wavelength…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Sampriti Soor , Priyanka Kumari , B. S. Daya Sagar , Amba Shetty

The forthcoming generation of wide-field galaxy surveys will probe larger volumes and galaxy densities, thus allowing for a much larger signal-to-noise ratio for higher-order clustering statistics, in particular the galaxy bispectrum.…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Azadeh Moradinezhad Dizgah , Hayden Lee , Marcel Schmittfull , Cora Dvorkin

Cumulative sum (CUSUM) statistics are widely used in the change point inference and identification. For the problem of testing for existence of a change point in an independent sample generated from the mean-shift model, we introduce a…

Statistics Theory · Mathematics 2021-01-05 Mengjia Yu , Xiaohui Chen

Clustering of the large scale structure provides complementary information to the measurements of the cosmic microwave background anisotropies through power spectrum and bispectrum of density perturbations. Extracting the bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-19 Ji-Ping Dai , Licia Verde , Jun-Qing Xia

Cumulant mapping employs a statistical reconstruction of the whole by sampling its parts. The theory developed in this work formalises and extends ad hoc methods of `multi-fold' or `multi-dimensional' covariance mapping. Explicit formulae…

Data Analysis, Statistics and Probability · Physics 2023-11-06 Leszek J. Frasinski

We use the presently observed number density of large X-ray clusters and linear mass power spectra to constrain the shape parameter ($\Gamma$), the spectral index ($n$), the amplitude of matter density perturbations on the scale of $8…

Astrophysics · Physics 2010-12-13 Jiun-Huei Proty Wu
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