Reproducing kernel Banach spaces for machine learning

Haizhang Zhang, Yuesheng Xu, Jun Zhang
2009 2009 International Joint Conference on Neural Networks  
We introduce the notion of reproducing kernel Banach spaces (RKBS) and study special semiinner-product RKBS by making use of semi-inner-products and the duality mapping. Properties of an RKBS and its reproducing kernel are investigated. As applications, we develop in the framework of RKBS standard learning schemes including minimal norm interpolation, regularization network, support vector machines, and kernel principal component analysis. In particular, existence, uniqueness and representer theorems are established.
doi:10.1109/ijcnn.2009.5179093 dblp:conf/ijcnn/ZhangXZ09 fatcat:mlvsler6rfakznwatd7d225gci