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Koray Kayabol



Authors and WSEAS

Koray Kayabol


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 16, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 16, 2017



Spectral-Spatial Classification of Hyperspectral Images Using Approximate Sparse Multinomial Logistic Regression

AUTHORS: Koray Kayabol

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ABSTRACT: We propose the sparse multinomial logistic regression (SMLR) model for spectral-spatial classification of hyperspectral images. In the proposed method, the parameters of SMLR are iteratively estimated from logposterior by using Laplace approximation. The proposed update rule provides a faster convergence compared to the state-of the-art methods used for SMLR parameter estimation. The estimated parameters are used for spectralspatial classification of hyperspectral images using a spatial prior. The experimental results on real hyperspectral images show that the classification accuracy of proposed method is also better than those of state-of-the art methods.

KEYWORDS: Sparse multinomial logistic regression, softmax, hyperspectral images, spatial-spectral classification

REFERENCES:

[1] Ian Goodfellow Yoshua Bengio and Aaron Courville. Deep learning. Book in preparation for MIT Press, 2016. 0 10 20 30 40 50 60 70 80 90 100 20 30 40 50 60 70 80 90 100 Number of iterations OA LORSAL CWSMLR APSMLR Figure 1: Iteration number versus overall accuracy (OA) for Salinas data.

[2] J. Besag. On the statistical analysis of dirty pictures. J. R. Stat. Soc. B, 48(3):259302, 1986.

[3] J. Bioucas-Dias and M. Figueiredo. Logistic regression via variable splitting and augmented Lagrangian tools. Technical report, Instituto Superior Tecnico, TULisbon, Lisbon, Portugal, August 2009.

[4] C. M. Bishop. Pattern Recognition and Machine Learning. Springer, 2006.

[5] D. Bohning. Multinomial logistic regression algorithm. Annals of the Inst. of Statistical Math., 44:197–200, 1992.

[6] J. Borges, J. Bioucas-Dias, and A. Marcal. Fast sparse multinomial regression applied to hyperspectral data. In Int. Conf. Image Analysis and Recognition, ICIAR, Povoa de Varzim, Portugal, 2006.

[7] J. Borges, J. Bioucas-Dias, and A. Marcal. Bayesian hyperspectral image segmentation with discriminative class learning. IEEE Trans. Geosci. Remote Sens., 49(6):2151–2164, 2011.

[8] K. Kayabol. Approximate sparse multinomial logistic regression for classification. IEEE Trans. Pattern Anal. Machine Intell., Submitted, 2016.

[9] K. Kayabol and S. Kutluk. Bayesian classifi- cation of hyperspectral images using spatiallyvarying Gaussian mixture model. Digital Signal Processing, 59:106–114, 2016.

[10] K. Kayabol and J. Zerubia. Unsupervised amplitude and texture classification of SAR images with multinomial latent model. IEEE Trans. Image Process., 22(2):561–572, 2013.

[11] B. Krishnapuram, L. Carin, M. A. T. Figueiredo, and A. J. Hartemink. Sparse multinomial logistic regression: Fast algorithms and generalization bounds. IEEE Trans. Pattern Anal. Machine Intell., 27(6):957–968, 2016.

[12] J. Li, J. Bioucas-Dias, and A. Plaza. Hyperspectral image segmentation using a new Bayesian approach with active learning. IEEE Trans. Geosci. Remote Sens., 49(10):3947–3960, 2011.

[13] A. Quarteroni, R. Sacco, and F.Saleri. Numerical Mathematics. Springer-Verlag, New York, 2000.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #7, pp. 57-61


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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