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
- 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.