Construction of confidence intervals for neural networks based on least squares estimation

作者: I. Rivals , L. Personnaz

DOI: 10.1016/S0893-6080(99)00080-5

关键词: Generalized least squaresLeast squaresApplied mathematicsArtificial neural networkMathematicsStatisticsTaylor seriesLinear modelNonlinear regressionNon-linear least squaresSimple linear regression

摘要: We present the theoretical results about construction of confidence intervals for a nonlinear regression based on least squares estimation and using linear Taylor expansion model output. stress assumptions which these are based, in order to derive an appropriate methodology neural black-box modeling; latter is then analyzed illustrated simulated real processes. show that output also gives tool detect possible ill-conditioning network candidates, estimate their performance. Finally, we approach compares favorably with other analytic approaches, it efficient economic alternative nonanalytic computationally intensive bootstrap methods.

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