Abstract
This paper deals with a machine-learning model arising from the healthcare sector, namely diabetes progression. The model is reformulated into a regularized optimization problem. The term of the fidelity is the L1 norm and the optimization space of the minimum is constructed by a reproducing kernel Hilbert space (RKSH). The numerical approximation of the model is realized by the Adam method, which shows its success in the numerical experiments (if compared to the stochastic gradient descent (SGD) algorithm).
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