论文信息 - An additional hidden unit test for neglected nonlinearity in multilayer feedforward networks

An additional hidden unit test for neglected nonlinearity in multilayer feedforward networks

The author presents a statistical test of the hypothesis that a given multilayer feedforward network exactly represents some unknown mapping subject to inherent noise against the alternative that the network neglects some nonlinear structure in the mapping, leading to potentially avoidable approximation errors. The tests are based on methods that statistically determine whether or not there is some advantage to be gained by adding hidden units to the network.<<ETX>>

H. White | H. White

[1] Calyampudi R. Rao. Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation , 1948, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] R. Engle. A general approach to lagrange multiplier model diagnostics , 1982 .

[3] H. Bierens. Consistent model specification tests , 1982 .

[4] H. Bierens. Model specification testing of time series regressions , 1984 .

[5] H. Bierens. Armax model specification testing, with an application to unemployment in the Netherlands , 1987 .

[6] A consistent Hausman-type model specification test , 1987 .

[7] H. White. Some Asymptotic Results for Learning in Single Hidden-Layer Feedforward Network Models , 1989 .