Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task LearningReportar como inadecuado



 Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning


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Motivated by multi-task machine learning with Banach spaces, we propose the notion of vector-valued reproducing kernel Banach spaces RKBS. Basic properties of the spaces and the associated reproducing kernels are investigated. We also present feature map constructions and several concrete examples of vector-valued RKBS. The theory is then applied to multi-task machine learning. Especially, the representer theorem and characterization equations for the minimizer of regularized learning schemes in vector-valued RKBS are established.



Autor: Haizhang Zhang; Jun Zhang

Fuente: https://archive.org/







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