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1 Introduction In this paper, we consider the problem of scene classification, which is an important issue in many fields such as robotics and Unmanned Aerial Vehicle (UAV). Scene classification is often solved as a machine learning problem. A machine learning-based scene classification system consists of two main components, namely feature extraction and pattern classification. ). In scene classification tasks, SVM [5, 6] classifiers are widely used. One common but intractable problem in scene classification is that there are limited number of labeled image data for training while the dimensionality of image feature space is usually very high.

We consider the corresponding augmented Lagrangian function given by L???? (????, ????, ????) = m m ( ) ∑ ) ???? C ∑‖ 1 2 2 ⊺( ‖ ‖ ‖ ???? ???? ???? − T + − ???? + − ???? ‖????‖22 + H ???? i ‖2 i ‖2 i 2 2 i=1 ‖ i i 2‖ i i=1 (12) { { } } Starting from some initial vector ???? 0 = ????10 , ????20 , … , ????m0 , ????0 = ????01 , ????02 , … , ????0m , ????0 , the variables at iteration k ≥ 0 are updated in the framework of ADMM as 50 M. Luo et al. ( ) ???? k+1 = arg min L???? ????, ????k , ????k ???? ( ) k+1 = arg min L???? ???? k+1 , ????, ????k ???? ???? ( ) ????k+1 =????ki + ???? ????ik+1 − ????k+1 i = 1, 2, … , m.

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