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Some Simulation Results for the Performance of DNA Classification of Noisy Image Data

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Modelling and Prediction Honoring Seymour Geisser
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Abstract

The Directional Neighborhoods Approach (DNA) to classifying pixels and reconstructing images from remotely sensed noisy data is a newly proposed, computer intensive, Bayesian-type procedure. It uses the observational data to select an optimal, generally asymmetric, but relatively homogeneous, neighborhood for contextually classifying pixels. We provide Monte Carlo simulations for a 2-population image and compare DNA results with those from a reference Bayesian contextual classification. We show that DNA improves substantially upon the reference classification procedure.

The author is grateful for NSF travel grant NSF/INT-9016175. He is also grateful to Getachew Dagne for his help with the computer simulation work in Section 3.

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References

  • Geisser, S (1964), “Posterior Odds for Multivariate Normal Classification”, Journal of the Royal Statistical Soceity, Ser. B, 26, 69–76.

    MATH  MathSciNet  Google Scholar 

  • Geisser, S. (1965), “Bayesian Estimation in Multivariate Analysis”, The Annals of Mathematical Statistics, 36, 150–159

    Article  MATH  MathSciNet  Google Scholar 

  • Geisser, S. (1966), “Predictive Discrimination”, in Multivariate Analysis, ed. P. R. Krishnaiah, New York: Academic Press, pp. 149–163

    Google Scholar 

  • Klein, R, and Press, SJ (1989), “Contextual Bayesian Classification of Remotely Sensed Data”, Communications in Statistics, Part A Theory and Methods, 18, 3177–3202

    Google Scholar 

  • Klein, R., and Press, S. J. (1990a), “Bayesian Contextual Classification with Neighbors Correlated with Training Data”, in Bayesian and Likelihood Methods in Statistics and Econometrics: Essays in Honor of George A. Bernard, eds. S. Geisser, J. Hodges, S.J. Press, and A. Zellner, New York: North-Holland pp. 337–355

    Google Scholar 

  • Klein, R., and Press, S. J. (1990b), “Bayesian Classification of Remotely Sensed Data When Training Data is Part of the Scene”, Revista Brasileira de Probabilidade e Estatistica, 4, 43–67

    MATH  Google Scholar 

  • Klein, R., and Press, S. J. (1992), “Adaptive Bayesian Classification of Spatial Data”, Journal of the American Asssociation, Vol. 87, No. 419, pp. 844–851

    Google Scholar 

  • Klein, R., and Press, S. J. (1993), “Adaptive Bayesian Classification with a Locally Proportional Prior”, Communications in Statistics - Theory and Methods, 22 (10), 2925–2940

    Article  MATH  Google Scholar 

  • Mardia, K. V. (1984), “Spatial Discrimination and Classification Maps”, Communications in Statistics–Theory and Methods, 13, 2181–2197

    Article  MATH  MathSciNet  Google Scholar 

  • Press, SJ (1996), “The Directonal Neighborhood Approach To Contextual Classification of Image From Noisy Data”, Jour. Amer Stat. Assn., in press.

    Google Scholar 

  • Switzer, P. (1980), “Extensions of Linear Discriminant Analysis for Statistical Classification of Remotely Sensed Satellite Imagery”, Mathematical Geology, 12, 367–376

    Article  MathSciNet  Google Scholar 

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© 1996 Springer Science+Business Media New York

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Press, S.J. (1996). Some Simulation Results for the Performance of DNA Classification of Noisy Image Data. In: Lee, J.C., Johnson, W.O., Zellner, A. (eds) Modelling and Prediction Honoring Seymour Geisser. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2414-3_11

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  • DOI: https://doi.org/10.1007/978-1-4612-2414-3_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7529-9

  • Online ISBN: 978-1-4612-2414-3

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