ar X iv : 1 11 1 . 10 37 v 2 [ m at h . FA ] 1 7 Fe b 20 12 Vector - valued Reproducing Kernel Banach Spaces with Applications to Multi - task Learning ∗
نویسندگان
چکیده
Motivated by multi-task machine learning with Banach spaces, we propose the notion of vectorvalued 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.
منابع مشابه
Vector-valued reproducing kernel Banach spaces with applications to multi-task learning
Motivated by multi-task machine learning with Banach spaces, we propose the notion of vector-valued reproducing kernel Banach spaces (RKBSs). 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 RKBSs. The theory is then applied to multi-task machine learning. Especially, ...
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