Kernel Methods for Remote Sensing Data Analysis

Abstract

About the editors. List of authors. Preface. Acknowledgments. List of symbols. List of abbreviations. I Introduction. 1 Machine learning techniques in remote sensing data analysis (Bjorn Waske, Mathieu Fauvel, Jon Atli Benediktsson and Jocelyn Chanussot). 1.1 Introduction. 1.2 Supervised classification: algorithms and applications. 1.3 Conclusion. Acknowledgments. References. 2 An introduction to kernel learning algorithms (Peter V. Gehler and Bernhard Scholkopf). 2.1 Introduction. 2.2 Kernels. 2.3 The representer theorem. 2.4 Learning with kernels. 2.5 Conclusion. References. II Supervised image classification. 3 The Support Vector Machine (SVM) algorithm for supervised classification of hyperspectral remote sensing data (J. Anthony Gualtieri). 3.1 Introduction. 3.2 Aspects of hyperspectral data and its acquisition. 3.3 Hyperspectral remote sensing and supervised classification. 3.4 Mathematical foundations of supervised classification. 3.5 From structural risk minimization to a support vector machine algorithm. 3.6 Benchmark hyperspectral data sets. 3.7 Results. 3.8 Using spatial coherence. 3.9 Why do SVMs perform better than other methods? 3.10 Conclusions. References. 4 On training and evaluation of SVM for remote sensing applications (Giles M. Foody). 4.1 Introduction. 4.2 Classification for thematic mapping. 4.3 Overview of classification by a SVM. 4.4 Training stage. 4.5 Testing stage. 4.6 Conclusion. Acknowledgments. References. 5 Kernel Fisher's Discriminant with heterogeneous kernels (M. Murat Dundar and Glenn Fung). 5.1 Introduction. 5.2 Linear Fisher's Discriminant. 5.3 Kernel Fisher Discriminant. 5.4 Kernel Fisher's Discriminant with heterogeneous kernels. 5.5 Automatic kernel selection KFD algorithm. 5.6 Numerical results. 5.7 Conclusion. References. 6 Multi-temporal image classification with kernels (Jordi Munoz-Mari, Luis Gomez-Choa, Manel Martinez-Ramon, Jose Luis Rojo-Alvarez, Javier Calpe-Maravilla and Gustavo Camps-Valls). 6.1 Introduction. 6.2 Multi-temporal classification and change detection with kernels. 6.3 Contextual and multi-source data fusion with kernels. 6.4 Multi-temporal/-source urban monitoring. 6.5 Conclusions. Acknowledgments. References. 7 Target detection with kernels (Nasser M. Nasrabadi). 7.1 Introduction. 7.2 Kernel learning theory. 7.3 Linear subspace-based anomaly detectors and their kernel versions. 7.4 Results. 7.5 Conclusion. References. 8 One-class SVMs for hyperspectral anomaly detection (Amit Banerjee, Philippe Burlina and Chris Diehl). 8.1 Introduction. 8.2 Deriving the SVDD. 8.3 SVDD function optimization. 8.4 SVDD algorithms for hyperspectral anomaly detection. 8.5 Experimental results. 8.6 Conclusions. References. III Semi-supervised image classification. 9 A domain adaptation SVM and a circular validation strategy for land-cover maps updating (Mattia Marconcini and Lorenzo Bruzzone). 9.1 Introduction. 9.2 Literature survey. 9.3 Proposed domain adaptation SVM. 9.4 Proposed circular validation strategy. 9.5 Experimental results. 9.6 Discussions and conclusion. References. 10 Mean kernels for semi-supervised remote sensing image classification (Luis Gomez-Chova, Javier Calpe-Maravilla, Lorenzo Bruzzone and Gustavo Camps-Valls). 10.1 Introduction. 10.2 Semi-supervised classification with mean kernels. 10.3 Experimental results. 10.4 Conclusions. Acknowledgments. References. IV Function approximation and regression. 11 Kernel methods for unmixing hyperspectral imagery (Joshua Broadwater, Amit Banerjee and Philippe Burlina). 11.1 Introduction. 11.2 Mixing models. 11.3 Proposed kernel unmixing algorithm. 11.4 Experimental results of the kernel unmixing algorithm. 11.5 Development of physics-based kernels for unmixing. 11.6 Physics-based kernel results. 11.7 Summary. References. 12 Kernel-based quantitative remote sensing inversion (Yanfei Wang, Changchun Yang and Xiaowen Li). 12.1 Introduction. 12.2 Typical kernel-based remote sensing inverse problems. 12.3 Well-posedness and ill-posedness. 12.4 Regularization. 12.5 Optimization techniques. 12.6 Kernel-based BRDF model inversion. 12.7 Aerosol particle size distribution function retrieval. 12.8 Conclusion. Acknowledgments. References. 13 Land and sea surface temperature estimation by support vector regression (Gabriele Moser and Sebastiano B. Serpico). 13.1 Introduction. 13.2 Previous work. 13.3 Methodology. 13.4 Experimental results. 13.5 Conclusions. Acknowledgments. References. V Kernel-based feature extraction. 14 Kernel multivariate analysis in remote sensing feature extraction (Jeronimo Arenas-Garcia and Kaare Brandt Petersen). 14.1 Introduction. 14.2 Multivariate analysis methods. 14.3 Kernel multivariate analysis. 14.4 Sparse Kernel OPLS. 14.5 Experiments: pixel-based hyperspectral image classification. 14.6 Conclusions. Acknowledgments. References. 15 KPCA algorithm for hyperspectral target/anomaly detection (Yanfeng Gu). 15.1 Introduction. 15.2 Motivation. 15.3 Kernel-based feature extraction in hypers