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引用
期刊论文
Vector-valued reproducing kernel Banach spaces with applications to multi-task learning
Journal of Complexity,2013,29(2):195-215 | 2013年04月01日 | https://doi.org/10.1016/j.jco.2012.09.002
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, the representer theorem and characterization equations for the minimizer of regularized learning schemes in vector-valued RKBSs are established.
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