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Online learning algorithms. (English) Zbl 1119.68098

Summary: In this paper, we study an online learning algorithm in reproducing Kernel Hilbert spaces (RKHSs) and general Hilbert spaces. We present a general form of the stochastic gradient method to minimize a quadratic potential function by an independent identically distributed (i.i.d.) sample sequence, and show a probabilistic upper bound for its convergence.

MSC:

68T05 Learning and adaptive systems in artificial intelligence
62L20 Stochastic approximation
93E35 Stochastic learning and adaptive control
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