Gaussian process regression within an active learning scheme

In this work, we face the problem of training sample collection for the estimation of biophysical parameters by adopting the active learning approach. In particular, we propose two active learning strategies specifically developed for Gaussian Process (GP) regression. The first one is based on adding samples that are distant from the current training samples in the kernel space while the second one exploits an intrinsic GP regression outcome to pick up the most difficult samples. Experiments on simulated and real data sets show the effectiveness of active selection of training samples for regression problems.

[1]  S. Casadio,et al.  Application of neural algorithms for a real-time estimation of ozone profiles from GOME measurements , 2002, IEEE Trans. Geosci. Remote. Sens..

[2]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[3]  José Luis Rojo-Álvarez,et al.  Robust support vector regression for biophysical variable estimation from remotely sensed images , 2006, IEEE Geoscience and Remote Sensing Letters.

[4]  Joydeep Ghosh,et al.  An Active Learning Approach to Hyperspectral Data Classification , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[5]  Farid Melgani,et al.  Gaussian Process Regression for Estimating Chlorophyll Concentration in Subsurface Waters From Remote Sensing Data , 2010, IEEE Geoscience and Remote Sensing Letters.

[6]  Farid Melgani,et al.  Semisupervised PSO-SVM Regression for Biophysical Parameter Estimation , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Farid Melgani,et al.  Active Learning Methods for Electrocardiographic Signal Classification , 2010, IEEE Transactions on Information Technology in Biomedicine.

[8]  Lorenzo Bruzzone,et al.  Robust multiple estimator systems for the analysis of biophysical parameters from remotely sensed data , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[9]  William J. Emery,et al.  Active Learning Methods for Remote Sensing Image Classification , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[10]  A. Dyk,et al.  Comparison of methods for estimation of Kyoto Protocol products of forests from multitemporal Landsat , 2001, IGARSS 2001. Scanning the Present and Resolving the Future. Proceedings. IEEE 2001 International Geoscience and Remote Sensing Symposium (Cat. No.01CH37217).

[11]  Lawrence Carin,et al.  Detection of buried targets via active selection of labeled data: application to sensing subsurface UXO , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[12]  Davide D'Alimonte,et al.  Phytoplankton determination in an optically complex coastal region using a multilayer perceptron neural network , 2003, IEEE Trans. Geosci. Remote. Sens..

[13]  Carl E. Rasmussen,et al.  In Advances in Neural Information Processing Systems , 2011 .

[14]  Farid Melgani,et al.  Support Vector Machine Active Learning Through Significance Space Construction , 2011, IEEE Geoscience and Remote Sensing Letters.