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Angular x-ray cross-correlation analysis (XCCA) is an approach to study the structure of disordered systems using the results of coherent x-ray scattering experiments. Here, we present the results of simulations that validate our…

Disordered Systems and Neural Networks · Physics 2012-06-07 R. P. Kurta , M. Altarelli , E. Weckert , I. A. Vartanyants

We propose an application of the Angular X-ray Cross-Correlation Analysis (AXCCA) to the scattered intensity distribution measured in three-dimensional (3D) reciprocal space from a single crystalline sample. Contrary to the conventional…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Dmitry Lapkin , Anatoly Shabalin , Janne-Mieke Meijer , Ruslan Kurta , Michael Sprung , Andrei V. Petukhov , Ivan A. Vartanyants

Angular x-ray cross-correlation analysis (AXCCA) is a technique which allows quantitative measurement of the angular anisotropy of x-ray diffraction patterns and provides insights into the orientational order in the system under…

We present the results of a computational X-ray cross correlation analysis (XCCA) study on two dimensional polygonal model structures. We show how to detect and identify the orientational order of such systems, demonstrate how to eliminate…

Materials Science · Physics 2014-06-25 Felix Lehmkühler , Gerhard Grübel , Christian Gutt

In a recent article (P.Wochner et al., PNAS (2009)) x-ray scattering intensity correlations around a ring, in the speckle diffraction pattern of a colloidal glass, were shown to display a remarkable ~ cos(n $\phi$) dependence on the angular…

Disordered Systems and Neural Networks · Physics 2011-07-08 M. Altarelli , R. P. Kurta , I. A. Vartanyants

We applied angular X-ray Cross-Correlation analysis (XCCA) to scattering images from a femtosecond resolution LCLS X-ray free-electron laser (XFEL) pump-probe experiment with solvated PtPOP ([Pt$_2$(P$_2$O$_5$H$_2$)$_4$]$^{4-}$) metal…

We develop the analysis of x-ray intensity correlations from dilute ensembles of identical particles in a number of ways. First, we show that the 3D particle structure can be determined if the particles can be aligned with respect to a…

Data Analysis, Statistics and Probability · Physics 2015-05-28 Veit Elser

Established x-ray diffraction methods allow for high-resolution structure determination of crystals, crystallized protein structures or even single molecules. While these techniques rely on coherent scattering, incoherent processes like…

While the implementation of single particle coherent diffraction imaging for non-crystalline particles is complicated by current limitations in photon flux, hit rate, and sample delivery a concept of many-particle coherent diffraction…

Disordered Systems and Neural Networks · Physics 2013-02-22 R. P. Kurta , R. Dronyak , M. Altarelli , E. Weckert , I. A. Vartanyants

X-ray crystallography (XC) is an experimental technique used to determine three-dimensional crystalline structures. The acquired data in XC, called diffraction patterns, is the Fourier magnitudes of the unknown crystalline structure. To…

Image and Video Processing · Electrical Eng. & Systems 2019-07-09 Samuel Pinilla , Jorge Bacca , Cesar Vargas , Juan Carlos Poveda-Jaramillo , Henry Arguello

We propose a novel algorithm - Multifractal Cross-Correlation Analysis (MFCCA) - that constitutes a consistent extension of the Detrended Cross-Correlation Analysis (DCCA) and is able to properly identify and quantify subtle characteristics…

Data Analysis, Statistics and Probability · Physics 2014-02-25 Paweł Oświȩcimka , Stanisław Drożdż , Marcin Forczek , Stanisław Jadach , Jarosław Kwapień

Coherent X-ray Diffraction Imaging (CXDI) technique offers unique insights into the nanoscale world, enabling the reconstruction of 3D structures with a nanoscale resolution achieved through computational phase reconstruction from measured…

Computational Physics · Physics 2024-03-26 Fangzhou Ai , Oleg Shpyrko , Vitaliy Lomakin

Here we propose a method, based on detrended covariance which we call detrended cross-correlation analysis (DXA), to investigate power-law cross-correlations between different simultaneously-recorded time series in the presence of…

Statistical Finance · Quantitative Finance 2009-11-13 Boris Podobnik , H. Eugene Stanley

X-ray coronary angiography (XCA) is a principal approach employed for identifying coronary disorders. Deep learning-based networks have recently shown tremendous promise in the diagnosis of coronary disorder from XCA scans. A deep…

Image and Video Processing · Electrical Eng. & Systems 2021-09-06 Supriti Mulay , Keerthi Ram , Balamurali Murugesan , Mohanasankar Sivaprakasam

The use of coherent x-ray beams has been greatly developing for the past decades. They are now used by a wide scientific community to study biological materials, phase transitions in crystalline materials, soft matter, magnetism, strained…

Materials Science · Physics 2010-09-01 V. L. R. Jacques , S. Ravy , D. Le Bolloc'h , E. Pinsolle , M. Sauvage-Simkin , F. Livet

We have analyzed a set of deep ROSAT observations with a total sky coverage of 40 square degrees to search for clustering of faint X-ray sources. Using the resulting catalog of discrete X-ray sources, we detect, for the first time in…

Astrophysics · Physics 2009-10-28 A. Vikhlinin , W. Forman

The angular correlation is a method for measuring the distribution of structure in the Universe, through the statistical properties of the angular distribution of galaxies on the sky. We measure the angular correlation of galaxies from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-20 Brandon Venville , David Parkinson , Natasha Hurley-Walker , Tim Galvin , Kathryn Ross

Canonical correlation analysis (CCA) is a widely used technique for estimating associations between two sets of multi-dimensional variables. Recent advancements in CCA methods have expanded their application to decipher the interactions of…

Machine Learning · Statistics 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

X-ray polarimetric measurements are based on studying the distribution of the directions of scattered photons or photoelectrons and on the search of a sinusoidal modulation with a period of {\pi}. We developed two tools for investigating…

Instrumentation and Methods for Astrophysics · Physics 2018-01-08 Enrico Massaro , Sergio Fabiani , Riccardo Campana , Enrico Costa , Ettore Del Monte , Fabio Muleri , Paolo Soffitta
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