**Gong, J., Wahba, G., Johnson, D. R., and Tribbia, J.**"*Adaptive Tuning of Numerical Weather Prediction Models: Simultaneous Estimation of Weigting, Smoothing and Physical Parameters*" TR 963, July 1996.

Mathematical foundations of the `representer' method may be found in: Some results on Tchebycheffian spline functions, George S. Kimeldorf and Grace Wahba, J. Math. Anal. Applic. 33, 1, 82-95 (1971), see also my book `Spline Models for Observational Data', SIAM 1990.

Recent references of potential interest to atmospheric and oceanic scientists include:

**Wahba, G., Johnson, D. R., Gao, F. and Gong, J.**"*Adaptive tuning of numerical weather prediction models: Part I: randomized GCV and related methods in three and four dimensional data assimilation.*" TR 920, April 1994.*Short version*Monthly Weather Review, 123 (1995), 3358-3369, under the title `Adaptive Tuning of Numerical Weather Prediction Models: Randomized GCV in Three-and Four-Dimensional Data Assimilation.**Luo, Z.**"*Backfitting in Smoothing Spline ANOVA, With Application to Historical Global Temperature Data*" TR 964, July 1996. PhD. Thesis

**Wahba, G. and Luo, Z.**"*Smoothing Spline ANOVA Fits for Very Large, Nearly Regular Data Sets, with Application to Historical Global Climate Data"*TR 952, October 1995.*Slightly revised version*to appear in the Festschrift in Honor of Ted Rivlin, C.Micchelli, Ed., Baltzer Press, 1996.

**Luo, Z. and Wahba, G.**"*Hybrid Adaptive Splines"*TR 947, June 1995, to appear, J. A. S. A.

A `golden oldie' which relates Bayes methods and variational problems is: A correspondence between Bayesian estimation of stochastic processes and smoothing by splines, George S. Kimeldorf and Grace Wahba, Ann. Math. Statist. 41, 2, 495-502 (1970).

Some other work of potential interest to atmospheric scientists is listed in "

*this (1993) bibliography.*"Click "

`here`" for the VDA Workshop post-workshop information.

Click
"`here`"
for the VDA Workshop post-workshop information.

A few of the slides for the Atm-Ocean talk are
"
*here*"

The talk is based on