[1] MR2005787 Wahba, Grace ; Lin, Yi ; Lee, Yoonkyung ; Zhang, Hao Optimal properties and adaptive tuning of standard and nonstandard support vector machines.
Nonlinear estimation and classification (Berkeley, CA, 2001),
129--147, Lecture Notes in Statist., 171, Springer, New York, 2003. 62H30
[2] MR1947755 Wahba, Grace Soft and hard classification by reproducing kernel Hilbert space methods.
Proc. Natl. Acad. Sci. USA 99 (2002), no. 26, 16524--16530 (electronic). 62H30 (46N30)
[3] MR1952725 (2003m:62176) Gao, Fangyu ; Wahba, Grace ; Klein, Ronald ; Klein, Barbara Smoothing spline ANOVA for multivariate Bernoulli observations, with application to ophthalmology data.
With comments and a rejoinder by the authors.
J. Amer. Statist. Assoc. 96 (2001), no. 453, 127--160. 62H12 (62J05 62J10 62P10)
[4] MR1836583 (2002h:62104) Wahba, G. Adaptive tuning, 4-D Var and representers in RKHS.
State of the art in probability and statistics (Leiden, 1999),
582--592, IMS Lecture Notes Monogr. Ser., 36, Inst. Math. Statist., Beachwood, OH, 2001. (Reviewer: Donald Myers) 62G05 (62H12 86A10)
[5] MR1835032 (2002j:62056) Lin, Xiwu ; Wahba, Grace ; Xiang, Dong ; Gao, Fangyu ; Klein, Ronald ; Klein, Barbara Smoothing spline ANOVA models for large data sets with Bernoulli observations and the randomized GACV.
Ann. Statist. 28 (2000), no. 6, 1570--1600. (Reviewer: Andreas Futschik) 62G08 (62J10 65D10 68T05)
[6] MR1436101 (98e:62061) Luo, Zhen ; Wahba, Grace Hybrid adaptive splines.
J. Amer. Statist. Assoc. 92 (1997), no. 437, 107--116. (Reviewer: Girdhar G. Agarwal) 62G05
[7] MR1422706 (97i:65027) Wahba, Grace ; Luo, Zhen Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data.
The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin.
Ann. Numer. Math. 4 (1997), no. 1-4, 579--597. 65D10
[8] MR1410740 (98f:62117) Xiang, Dong ; Wahba, Grace A generalized approximate cross validation for smoothing splines with non-Gaussian data.
Statist. Sinica 6 (1996), no. 3, 675--692. 62G05
[9] MR1389856 (97f:62074) Wahba, Grace ; Wang, Yuedong ; Gu, Chong ; Klein, Ronald ; Klein, Barbara
Smoothing spline ANOVA for exponential families, with application to
the Wisconsin Epidemiological Study of Diabetic Retinopathy.
Ann. Statist. 23 (1995), no. 6, 1865--1895. (Reviewer: Girdhar G. Agarwal) 62G05 (41A15 65D07 92D30)
[10] MR1365026 (96h:62082) Wahba, Grace ; Wang, Yuedong Behavior near zero of the distribution of GCV smoothing parameter estimates.
Statist. Probab. Lett. 25 (1995), no. 2, 105--111. 62G05
[11] MR1272389 (94m:62144) Gu, Chong ; Wahba, Grace Smoothing spline ANOVA with component-wise Bayesian "confidence intervals".
J. Comput. Graph. Statist. 2 (1993), no. 1, 97--117. 62G15 (62J10)
[12] MR1224400 (94h:62056) Gu, Chong ; Wahba, Grace Semiparametric analysis of variance with tensor product thin plate splines.
J. Roy. Statist. Soc. Ser. B 55 (1993), no. 2, 353--368. 62G05
[13] MR1179628 Gu, Chong ; Heckman, Nancy ; Wahba, Grace A note on generalized cross-validation with replicates.
Statist. Probab. Lett. 14 (1992), no. 4, 283--287. 62G05
[14] MR1123782 Wahba, Grace Multivariate model building with additive interaction and tensor product thin plate splines.
Curves and surfaces (Chamonix-Mont-Blanc, 1990),
491--504, Academic Press, Boston, MA, 1991. 65D07
[15] MR1087766 (92a:65051) Gu, Chong ; Wahba, Grace Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method.
SIAM J. Sci. Statist. Comput. 12 (1991), no. 2, 383--398. 65D10 (49M15 65K10 65Y10)
[16] MR1075497 (91j:65201) Wahba, Grace ; Wang, Yong Hua When is the optimal regularization parameter insensitive to the choice of the loss function?
Comm. Statist. Theory Methods 19 (1990), no. 5, 1685--1700. 65R20 (45L99 62G99)
[17] MR1045442 (91g:62028) Wahba, Grace Spline models for observational data.
CBMS-NSF Regional Conference Series in Applied Mathematics, 59. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1990. xii+169 pp. ISBN: 0-89871-244-0 (Reviewer: Girdhar G. Agarwal) 62G05 (62J02 65D10 65U05)
[18] MR1016796 (90m:65084) Gu, Chong ; Bates, Douglas M. ; Chen, Ze Hua ; Wahba, Grace
The computation of generalized cross-validation functions through
Householder tridiagonalization with applications to the fitting of
interaction spline models.
SIAM J. Matrix Anal. Appl. 10 (1989), no. 4, 457--480. 65F30 (41A65 62J07 65U05)
[19] MR1008061 (90h:62103) Wahba, G. Partial and interaction spline models.
Bayesian statistics, 3 (Valencia, 1987),
479--491, Oxford Sci. Publ., Oxford Univ. Press, New York, 1988. 62G05 (62J02 65D07)
[20] MR0971580 (90a:62109) Horng Shiau, Jyh-Jen ; Wahba, Grace Rates of convergence of some estimators for a semiparametric model.
Comm. Statist. Simulation Comput. 17 (1988), no. 4, 1117--1133. 62G05
[21] MR0924859 (89f:62037) Cox, Dennis ; Koh, Eunmee ; Wahba, Grace ; Yandell, Brian S. Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models.
Ann. Statist. 16 (1988), no. 1, 113--119. (Reviewer: Wilfried Grossmann) 62G05 (62F03)
[22] MR1020307 (90j:65149) Wahba, Grace Three topics in ill-posed problems.
Inverse and ill-posed problems (Sankt Wolfgang, 1986),
37--51, Notes Rep. Math. Sci. Engrg., 4, Academic Press, Boston, MA, 1987. (Reviewer: Autorreferat) 65P05
[23] MR0883352 (88e:62106) Villalobos, Miguel ; Wahba, Grace Inequality-constrained multivariate smoothing splines with application to the estimation of posterior probabilities.
J. Amer. Statist. Assoc. 82 (1987), no. 397, 239--248. (Reviewer: M. Hu\v sková) 62G05 (62H12)
[24] MR0883131 Bates, Douglas M. ; Lindstrom, Mary J. ; Wahba, Grace ; Yandell, Brian S. GCVPACK-routines for generalized cross validation.
Comm. Statist. B---Simulation Comput. 16 (1987), no. 1, 263--297. 62-04
[25] MR0927524 (88k:41019) Wahba, Grace Multivariate thin plate spline smoothing with positivity and other linear inequality constraints.
Statistical image processing and graphics (Luray, Va., 1983),
275--289, Statist. Textbooks Monogr., 72, Dekker, New York, 1986. (Reviewer: A. Bultheel) 41A15 (65D07)
[26] MR0870453 (88a:86008) Wahba, Grace Partial spline modelling of the tropopause and other discontinuities.
Function estimates (Arcata, Calif., 1985),
125--135, Contemp. Math., 59, Amer. Math. Soc., Providence, RI, 1986. 86A35 (65D07)
[27] MR0811498 (87h:65030) Wahba, Grace A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem.
Ann. Statist. 13 (1985), no. 4, 1378--1402. (Reviewer: G. P. Bhattacharjee) 65D10 (62G05 62J02 65D05)
[28] MR0787253 Wahba, Grace Cross validated spline methods for direct and indirect sensing experiments.
Statistical signal processing (Annapolis, Md., 1982),
179--190, Statist. Textbooks Monogr., 53, Dekker, New York, 1984. 65D07
[29] MR0770276 (86b:62118) Nychka, Douglas ; Wahba, Grace ; Goldfarb, Stanley ; Pugh, Thomas
Cross-validated spline methods for the estimation of three-dimensional
tumor size distributions from observations on two-dimensional cross
sections.
J. Amer. Statist. Assoc. 79 (1984), no. 388, 832--846. (Reviewer: E. F. Schuster) 62J99 (62G05)
[30] MR0736179 (86c:65017) Wahba, Grace Surface fitting with scattered noisy data on Euclidean $D$-space and on the sphere.
Surfaces (Stanford, Calif., 1982).
Rocky Mountain J. Math. 14 (1984), no. 1, 281--299. (Reviewer: Wolfgang Boehm) 65D10 (65D07)
[31] MR0701084 (84k:62054) Wahba, Grace Bayesian "confidence intervals" for the cross-validated smoothing spline.
J. Roy. Statist. Soc. Ser. B 45 (1983), no. 1, 133--150. 62F15 (62J02)
[32] MR0697810 (84e:62072) Villalobos, Miguel A. ; Wahba, Grace Multivariate thin plate spline estimates for the posterior probabilities in the classification problem.
Comm. Statist. A---Theory Methods 12 (1983), no. 13, 1449--1479. 62G05 (62H30 65D07)
[33] MR0755363 Bates, Douglas M. ; Wahba, Grace Computational methods for generalized cross-validation with large data sets.
Treatment of integral equations by numerical methods (Durham, 1982),
283--296, Academic Press, London, 1982. 65R20 (65D10)
[34] MR0719923 (85k:65015) Wahba, Grace Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data.
Multivariate approximation theory, II (Oberwolfach, 1982),
407--429, Internat. Ser. Numer. Math., 61, Birkhäuser, Basel, 1982. (Reviewer: D. C. Handscomb) 65D10 (41A15 62M20)
[35] MR0705326 (85e:45011) Wahba, Grace Constrained regularization for ill-posed linear operator equations, with applications in meteorology and medicine.
Statistical decision theory and related topics, III, Vol. 2 (West Lafayette, Ind., 1981),
383--418, Academic Press, New York, 1982. (Reviewer: V. V. Vasin) 45L05 (65R20 92A07)
[36] MR0667835 (84j:65016b) Wahba, Grace Erratum: "Spline interpolation and smoothing on the sphere".
SIAM J. Sci. Statist. Comput. 3 (1982), no. 3, 385--386. 65D07 (41A15 65D05)
[37] MR0641546 (83a:65014) Dyn, Nira ; Wahba, Grace On the estimation of functions of several variables from aggregated data.
SIAM J. Math. Anal. 13 (1982), no. 1, 134--152. 65D07 (92A15 92A20)
[38] MR0720405 (84m:65135) Wahba, Grace A new approach to the numerical evaluation of the inverse Radon transform with discrete, noisy data.
Mathematical aspects of computerized tomography (Oberwolfach, 1980),
189--203, Lecture Notes in Med. Inform., 8, Springer, Berlin-New York, 1981. (Reviewer: F. W. Stallmann) 65R10 (92A07)
[39] MR0642576 (82m:62252) Wahba, Grace Numerical experiments with the thin plate histospline.
Comm. Statist. A---Theory Methods 10 (1981), no. 24, 2475--2514. 62P99 (92A15)
[40] MR0618629 (84j:65016a) Wahba, Grace Spline interpolation and smoothing on the sphere.
SIAM J. Sci. Statist. Comput. 2 (1981), no. 1, 5--16. 65D07 (41A15 65D05)
[41] MR0615422 (83a:41035) Micchelli, Charles A. ; Wahba, Grace Design problems for optimal surface interpolation.
Approximation theory and applications (Proc. Workshop, Technion---Israel Inst. Tech., Haifa, 1980),
pp. 329--348, Academic Press, New York-London, 1981. (Reviewer: Avraham A. Melkman) 41A63 (41A05 65D05)
[42] MR0600541 (82c:62059) Wahba, Grace Data-based optimal smoothing of orthogonal series density estimates.
Ann. Statist. 9 (1981), no. 1, 146--156. (Reviewer: Bradford R. Crain) 62G05
[43] MR0602818 (82b:65009) Wahba, Grace
Spline bases, regularization, and generalized cross validation for
solving approximation problems with large quantities of noisy data.
Approximation theory, III (Proc. Conf., Univ. Texas, Austin, Tex., 1980),
pp. 905--912, Academic Press, New York-London, 1980. (Reviewer: Dietrich Braess) 65D15 (41A15 41A63)
[44] MR0567380 (81g:62159) Wahba, Grace Parameter estimation in linear dynamic systems.
IEEE Trans. Automat. Control 25 (1980), no. 2, 235--238. (Reviewer: Bennett Eisenberg) 62M10 (62K99 93E11)
[45] MR0564269 (81h:65137) Wahba, G. Smoothing and ill-posed problems.
Solution methods for integral equations,
pp. 183--194, Math. Concepts Methods Sci. Engrg., 18, Plenum, New York-London, 1979. (Reviewer: Charles W. Groetsch) 65R20 (65D25)
