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On the Relationship Between Generalization Error, Hypothesis Complexity, and Sample Complexity for Radial Basis Functions

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dc.creator Niyogi, Partha
dc.creator Girosi, Federico
dc.date 2004-10-08T20:34:39Z
dc.date 2004-10-08T20:34:39Z
dc.date 1994-02-01
dc.date.accessioned 2013-10-09T02:46:10Z
dc.date.available 2013-10-09T02:46:10Z
dc.date.issued 2013-10-09
dc.identifier AIM-1467
dc.identifier http://hdl.handle.net/1721.1/6624
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description In this paper, we bound the generalization error of a class of Radial Basis Function networks, for certain well defined function learning tasks, in terms of the number of parameters and number of examples. We show that the total generalization error is partly due to the insufficient representational capacity of the network (because of its finite size) and partly due to insufficient information about the target function (because of finite number of samples). We make several observations about generalization error which are valid irrespective of the approximation scheme. Our result also sheds light on ways to choose an appropriate network architecture for a particular problem.
dc.format 261921 bytes
dc.format 1092393 bytes
dc.format application/octet-stream
dc.format application/pdf
dc.language en_US
dc.relation AIM-1467
dc.title On the Relationship Between Generalization Error, Hypothesis Complexity, and Sample Complexity for Radial Basis Functions


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