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- W2023201466 abstract "Summary A linear regression method to predict a scalar from a discretized smooth function is presented. The method takes into account the functional nature of the predictors and the importance of the second derivative in spectroscopic applications. This motivates a functional inner product that can be used as a roughness penalty. Using this inner product, we derive a linear prediction method that is similar to ridge regression but with different shrinkage characteristics. We describe its practical implementation and we address the problem of computing the second derivatives nonparametrically. We apply the method to a calibration example using near infra-red spectra. We conclude with a discussion comparing our approach with other regression algorithms." @default.
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- W2023201466 date "1998-01-01" @default.
- W2023201466 modified "2023-10-06" @default.
- W2023201466 title "Second-derivative Functional Regression with Applications to Near Infra-red Spectroscopy" @default.
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- W2023201466 doi "https://doi.org/10.1111/1467-9868.00111" @default.
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