Evaluation of Classification Criteria in the 4M Method Applied to Ordinary Chondrites

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M. Jakubowska
J. Gałązka-Friedman
M. Woźniak
K. Szopa
K. Brzózka
A. Grabias

Abstract

In  2019,  our  group  introduced  a  new  method for  the classification of ordinary  chondrites  based  on  Mössbauer  spectroscopy  results. In 2026, this method was further developed. In the original version, the classification criterion was the level of similarity determined on the basis of the Mahalanobis distance, whereas in the updated version a Bayesian approach based on maximum a posteriori probability was proposed. The aim of the study is to evaluate the effectiveness of the new approach used in the revised 4M method, with particular emphasis on the role of a priori probability in the classification procedure. Three classification variants were compared.
 

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How to Cite
[1]
M. Jakubowska, J. Gałązka-Friedman, M. Woźniak, K. Szopa, K. Brzózka, and A. Grabias, “Evaluation of Classification Criteria in the 4M Method Applied to Ordinary Chondrites”, Acta Phys. Pol. A, vol. 150, no. 1-3, p. S20, Oct. 2026, doi: 10.12693/APhysPolA.150.S20.
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References

M. Woźniak, J. Gałązka-Friedman, P. Duda, M. Jakubowska, P. Rzepecka, Ł. Karwowski, Meteorit. Planet. Sci. 54, 1828 (2019), https://doi.org/10.1111/maps.13314

M. Jakubowska, J. Gałązka-Friedman, M. Woźniak, K. Szopa, K. Brzózka, B. Pospíšilová, A. Grabias, Meteorit. Planet. Sci. 61, 679 (2026), https://doi.org/10.1111/maps.70122

B.S. Paliwal, R.P. Tripathi, H.C. Verma, S.K. Sharma, Meteorit. Planet. Sci. 35, 639 (2000), https://doi.org/10.1111/j.1945-5100.2000.tb01444.x

H.C. Verma, A. Rawat, B.S. Paliwal, R.P. Tripathi, Hyperfine Interact. 142, 643 (2002), https://doi.org/10.1023/A:1022463415096

H.C. Verma, K. Jee, R.P. Tripathi, Meteorit. Planet. Sci. 38, 963 (2003), https://doi.org/10.1111/j.1945-5100.2003.tb00290.x

J. Gałązka-Friedman, M. Woźniak, P. Bogusz, M. Jakubowska, Ł. Karwowski, P. Duda, Hyperfine Interact. 241, 11 (2020), https://doi.org/10.1007/s10751-019-1661-0

P.C. Mahalanobis, Proc. Natl. Inst. Sci. India 2, 49 (1936)

B. de Finetti, Theory of Probability: A Critical Introductory Treatment, John Wiley & Sons, Hoboken 2017, https://doi.org/10.1002/9781119286387

W. Niemiro, "Statystyka Bayesowska i Teoria Decyzji", Uniwersytet Warszawski, Warszawa 2021

R. van de Schoot, D. Kaplan, J. Denissen, J.B. Asendorpf, F.J. Neyer, M.A. van Aken, Child Dev. 85, 842 (2014), https://doi.org/10.1111/cdev.12169

A.A. Maksimova, M.I. Oshtrakh, I. Felner, A.V. Chukin, M.S. Karabanalov, V.A. Semionkin, J. Mol. Struct. 1140, 122 (2017), https://doi.org/10.1016/j.molstruc.2016.11.042

A.A. Maksimova, M.I. Oshtrakh, E.V. Petrova, V.I. Grokhovsky, V.A. Semionkin, Spectrochim. Acta A 172, 65 (2017), https://doi.org/10.1016/j.saa.2016.04.032

M.I. Oshtrakh, E.V. Petrova, V.I. Grokhovsky, V.A. Semionkin, Meteorit. Planet. Sci. 43, 941 (2008), https://doi.org/10.1111/j.1945-5100.2008.tb01091.x

K. Lagarec, D.G. Rancourt, Recoil: Mössbauer Spectral Analysis Software for Windows, Version 1.0, University of Ottawa, Ottawa 1998}

J. Lemański, 4M method script (accessed Sep. 2026), http://4mb-basev1.woreczko.pl/4mmlist.php