The authors design a functional mirror descent for reproducing kernel Banach spaces and prove conditional linear and O(1/√t) convergence, with a finite-center p-norm RKBS instantiation.
A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces
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abstract
We give a simple proof of the Baillon-Haddad theorem for convex functions defined on open and convex subsets of Hilbert spaces. We also state some generalizations and limitations. In particular, we discuss equivalent characterizations of the Lipschitz continuity of the derivative of convex functions on open and convex subsets of Banach spaces.
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cs.LG 1years
2024 1verdicts
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Mirror Descent on Reproducing Kernel Banach Spaces
The authors design a functional mirror descent for reproducing kernel Banach spaces and prove conditional linear and O(1/√t) convergence, with a finite-center p-norm RKBS instantiation.