Transductive SVMs for semisupervised classification of hyperspectral data

This paper presents transductive support vector machines (TSVMs) for the semisupervised classification of hyperspectral remote sensing images. On the basis of the analysis of TSVMs recently introduced in the machine learning literature and of the properties of hyperspectral classification problems, a specific TSVM algorithm is proposed to alleviate the Hughes phenomenon in a nonparametric and kernel-based classification framework. The extension of the proposed technique to multiclass cases is also discussed. Experimental results obtained on a real hyperspectral image point out that when small-size training data are available, the proposed TSVMs outperform standard inductive support vector machines (ISVMs).

[1]  Qiong Jackson,et al.  An adaptive method for combined covariance estimation and classification , 2002, IEEE Trans. Geosci. Remote. Sens..

[2]  Lorenzo Bruzzone,et al.  Classification of hyperspectral remote sensing images with support vector machines , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Lorenzo Bruzzone,et al.  Classification of hyperspectral images with support vector machines: multiclass strategies , 2004, SPIE Remote Sensing.

[4]  Lorenzo Bruzzone,et al.  Kernel-based methods for hyperspectral image classification , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[5]  Guoping Wang,et al.  Learning with progressive transductive support vector machine , 2003, Pattern Recognit. Lett..

[6]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[7]  David A. Landgrebe,et al.  The effect of unlabeled samples in reducing the small sample size problem and mitigating the Hughes phenomenon , 1994, IEEE Trans. Geosci. Remote. Sens..

[8]  S. Sathiya Keerthi,et al.  Improvements to Platt's SMO Algorithm for SVM Classifier Design , 2001, Neural Computation.

[9]  John C. Platt,et al.  Fast training of support vector machines using sequential minimal optimization, advances in kernel methods , 1999 .

[10]  J. Platt Sequential Minimal Optimization : A Fast Algorithm for Training Support Vector Machines , 1998 .

[11]  Thorsten Joachims,et al.  Transductive Inference for Text Classification using Support Vector Machines , 1999, ICML.