Joint projection learning and structured analysis-synthesis dictionary pair learning for pattern classification

Abstract

Analysis-synthesis dictionary pair learning has attracted much attention in the field of pattern classification. To reduce the negative effect of trivial information contained in raw training samples and improve the computation efficiency, most existing dictionary pair learning methods first learn a projection matrix to project raw training samples into a low-dimensional subspace and then use the dimensionality-reduced samples for dictionary pair learning. However, the separation of projection learning (PL) and dictionary pair learning may make the dimensionality-reduced training samples not fit well for dictionary pair learning. To address this issue, we proposed a joint PL and structured analysis-synthesis dictionary pair learning (PLSDPL) method for pattern classification. Specifically, PLSDPL integrates PL and dictionary pair learning into a unified framework, so the dimensionality-reduced training samples are more suitable for the structured analysis-synthesis dictionary pair learning, thus making the learned analysis-synthesis dictionary pair have powerful discrimination capability. In addition, PLSDPL also imposes a low-rank constraint on each synthesis sub-dictionary to reduce the negative effect of noise contained in training samples. Experimental results on several image datasets show that PLSDPL is effective for pattern classification tasks.