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• W2163696743 abstract "We investigate a class of hierarchical mixtures-of-experts (HME) models where generalized linear models with nonlinear mean functions of the form psi (alpha + xT beta) are mixed. Here psi (.) is the inverse link function. It is shown that mixtures of such mean functions can approximate a class of smooth functions of the form psi (h(x)), where h(.) epsilon W2;K infinity (a Sobolev class over [0, 1]s), as the number of experts m in the network increases. An upper bound of the approximation rate is given as O(m-2/s) in Lp norm. This rate can be achieved within the family of HME structures with no more than s-layers, where s is the dimension of the predictor x." @default.
• W2163696743 created "2016-06-24" @default.
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• W2163696743 date "1999-07-01" @default.
• W2163696743 modified "2023-09-26" @default.
• W2163696743 title "On the Approximation Rate of Hierarchical Mixtures-of-Experts for Generalized Linear Models" @default.
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• W2163696743 doi "https://doi.org/10.1162/089976699300016403" @default.
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