Neural Netw 2021 Apr 28;142:105-118. Epub 2021 Apr 28.
Institute of Marine Electronics and Intelligent Systems, Ocean College, Zhejiang University, The Key Laboratory of Ocean Observation-Imaging Testbed of Zhejiang Province, The Engineering Research Center of Oceanic Sensing Technology and Equipment, Ministry of Education, Zhoushan, 316021, China. Electronic address:
In this paper, we develop a new classification method for manifold-valued data in the framework of probabilistic learning vector quantization. In many classification scenarios, the data can be naturally represented by symmetric positive definite matrices, which are inherently points that live on a curved Riemannian manifold. Due to the non-Euclidean geometry of Riemannian manifolds, traditional Euclidean machine learning algorithms yield poor results on such data. Read More