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Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra

A data-driven bin-width optimization for the histograms of measured data sets based on inhomogeneous Poisson processes was developed in a neurophysiology study [Shimazaki & Shinomoto (2007). Neural Comput. 19, 1503–1527], and a subsequent study [Muto, Sakamoto, Matsuura, Arima & Okada (2019)...

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Autores principales: Tatsumi, Kazuyoshi, Inamura, Yasuhiro, Kofu, Maiko, Kiyanagi, Ryoji, Shimazaki, Hideaki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9172031/
https://www.ncbi.nlm.nih.gov/pubmed/35719304
http://dx.doi.org/10.1107/S1600576722003624
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author Tatsumi, Kazuyoshi
Inamura, Yasuhiro
Kofu, Maiko
Kiyanagi, Ryoji
Shimazaki, Hideaki
author_facet Tatsumi, Kazuyoshi
Inamura, Yasuhiro
Kofu, Maiko
Kiyanagi, Ryoji
Shimazaki, Hideaki
author_sort Tatsumi, Kazuyoshi
collection PubMed
description A data-driven bin-width optimization for the histograms of measured data sets based on inhomogeneous Poisson processes was developed in a neurophysiology study [Shimazaki & Shinomoto (2007). Neural Comput. 19, 1503–1527], and a subsequent study [Muto, Sakamoto, Matsuura, Arima & Okada (2019). J. Phys. Soc. Jpn, 88, 044002] proposed its application to inelastic neutron scattering (INS) data. In the present study, the results of the method on experimental INS time-of-flight data collected under different measurement conditions from a copper single crystal are validated. The extrapolation of the statistics on a given data set to other data sets with different total counts precisely infers the optimal bin widths on the latter. The histograms with the optimized bin widths statistically verify two fine-spectral-feature examples in the energy and momentum transfer cross sections: (i) the existence of phonon band gaps; and (ii) the number of plural phonon branches located close to each other. This indicates that the applied method helps in the efficient and rigorous observation of spectral structures important in physics and materials science like novel forms of magnetic excitation and phonon states correlated to thermal conductivities.
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spelling pubmed-91720312022-06-17 Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra Tatsumi, Kazuyoshi Inamura, Yasuhiro Kofu, Maiko Kiyanagi, Ryoji Shimazaki, Hideaki J Appl Crystallogr Research Papers A data-driven bin-width optimization for the histograms of measured data sets based on inhomogeneous Poisson processes was developed in a neurophysiology study [Shimazaki & Shinomoto (2007). Neural Comput. 19, 1503–1527], and a subsequent study [Muto, Sakamoto, Matsuura, Arima & Okada (2019). J. Phys. Soc. Jpn, 88, 044002] proposed its application to inelastic neutron scattering (INS) data. In the present study, the results of the method on experimental INS time-of-flight data collected under different measurement conditions from a copper single crystal are validated. The extrapolation of the statistics on a given data set to other data sets with different total counts precisely infers the optimal bin widths on the latter. The histograms with the optimized bin widths statistically verify two fine-spectral-feature examples in the energy and momentum transfer cross sections: (i) the existence of phonon band gaps; and (ii) the number of plural phonon branches located close to each other. This indicates that the applied method helps in the efficient and rigorous observation of spectral structures important in physics and materials science like novel forms of magnetic excitation and phonon states correlated to thermal conductivities. International Union of Crystallography 2022-05-25 /pmc/articles/PMC9172031/ /pubmed/35719304 http://dx.doi.org/10.1107/S1600576722003624 Text en © Kazuyoshi Tatsumi et al. 2022 https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.
spellingShingle Research Papers
Tatsumi, Kazuyoshi
Inamura, Yasuhiro
Kofu, Maiko
Kiyanagi, Ryoji
Shimazaki, Hideaki
Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title_full Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title_fullStr Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title_full_unstemmed Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title_short Optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
title_sort optimization and inference of bin widths for histogramming inelastic neutron scattering spectra
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9172031/
https://www.ncbi.nlm.nih.gov/pubmed/35719304
http://dx.doi.org/10.1107/S1600576722003624
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