2,124
Views
8
CrossRef citations to date
0
Altmetric
New topics/Others

Development of spectral decomposition based on Bayesian information criterion with estimation of confidence interval

ORCID Icon, ORCID Icon, ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Pages 402-419 | Received 04 Mar 2020, Accepted 20 May 2020, Published online: 02 Jul 2020

References

  • Kobayashi K, Yabashi M. High resolution-high energy x-ray photoelectron spectroscopy using third-generation synchrotron radiation source, and its application to Si-high k insulator systems. Appl Phys Lett. 2003;83:1005–1007.
  • Takata Y, Yabashi M, Tamasaku K, et al. Development of hard X-ray photoelectron spectroscopy at BL29XU in SPring-8. Nucl Instrum Methods Phys Res, Sec A. 2005;547:50–55.
  • Hook AL, Anderson DG, Langer R, et al. High throughput methods applied in biomaterial development and discovery. Biomaterials. 2010;31:187–198.
  • Matsumura T, Nagamura N, Akaho S, et al. Spectrum adapted expectation-maximization algorithm for high-throughput peak shift analysis. Sci Technol Adv Mater. 2019;20:733–745.
  • Shinotsuka H, Yoshikawa H, Murakami R, et al. Automated information compression of XPS spectrum using information criteria. J Electron Spectrosc Relat Phenom. 2020;239:146903.
  • Nagata K, Sugita S, Okada M. Bayesian spectral deconvolution with the exchange Monte Carlo method. Neural Netw. 2012;28:82–89.
  • Hesse R, Streubel P, Szargan R. Product or sum: comparative tests of Voigt, and product or sum of Gaussian and Lorentzian functions in the fitting of synthetic Voigt-based X-ray photoelectron spectra. Surf Interface Anal. 2007;39:381–391.
  • Hukushima K, Nemoto K. Exchange Monte Carlo method and application to spin glass simulations. J Phys Soc Jpn. 1996;65:1604–1608.
  • Levenberg K. A method for the solution of certain non-linear problems in least squares. Q Appl Math. 1944;2:164–168.
  • Marquardt DW. An algorithm for least squares estimation of nonlinear parameters. J Soc Ind Appl Math. 1963;11:431–441.
  • Fletcher R. A Modified Marquardt Subroutine for Nonlinear Least Squares. Harwell: AERE-R 6799; 1971.
  • Watanabe S. Algebraic analysis for nonidentifiable learning machines. Neural Comput. 2001;13:899–933.
  • Watanabe S. Algebraic geometrical methods for hierarchical learning machines. Neural Netw. 2001;14:1049–1060.
  • Nagata K, Watanabe S. Asymptotic behavior of exchange ratio in exchange Monte Carlo method. Neural Netw. 2008;21:980–988.
  • Yoshihara K. The introduction of common data processing system version 12. J Surf Anal. 2017;23:138–148.
  • Ogata Y. A Monte Carlo method for an objective Bayesian procedure. Ann Inst Stat Math. 1990;42:403–433.
  • Branch MA, Coleman TF, Li Y. A subspace, interior, and conjugate gradient method for large-scale bound-constrained minimization problems. SIAM J Sci Comput. 1999;21:1–23.