Edit Profile (opens in new tab) Wahba, Grace Compute Distance To: Compute Author ID: wahba.grace Published as: Wahba, Grace; Wahba, G.; Wahba, Grace.; Wahba, Gace; Wahba Grace more...less Homepage: http://www.stat.wisc.edu/~wahba/ External Links: MGP · Wikidata · IdRef Documents Indexed: 100 Publications since 1968, including 1 Book 1 Further Contribution Biographic References: 1 Publication Co-Authors: 58 Co-Authors with 57 Joint Publications 1,302 Co-Co-Authors all top 5 Co-Authors 44 single-authored 7 Gu, Chong 7 Nashed, M. Zuhair 6 Lin, Yi 5 Klein, Ronald 4 Bates, Douglas M. 4 Kimeldorf, George S. 4 Klein, Barbara E. 4 Lee, Yoonkyung 4 Wang, Yuedong 3 Wold, Svante 3 Zhang, Hao Helen 2 Chappell, Richard 2 Gao, Fangyu 2 Lu, Fan 2 Luo, Zhen 2 Miranker, Willard Lee 2 Villalobos, Miguel A. 2 Wright, Stephen J. 2 Xiang, Dong 2 Yandell, Brian S. 2 Yuan, Ming 1 1 Anger, Gottfried 1 Athavale, Manohar L. 1 Bamberger, Alain 1 Björck, Åke 1 Bohlin, Torsten 1 Champion, Victoria 1 Chavent, Guy 1 Chen, Zehua 1 Cifka, J. 1 Cox, Dennis D. 1 Craven, Peter 1 Dai, Bin 1 Deregowski, S. M. 1 Desiati, Paolo 1 Ding, Shilin 1 Dyn, Nira 1 Edholm, Paul 1 Eldén, Lars 1 Elfving, Tommy 1 Engquist, Bjorn E. 1 Ferris, Michael C. 1 Geng, Zhigeng 1 Glashoff, Klaus 1 Goldfarb, Stanley 1 Golub, Gene Howard 1 Granlund, Gösta H. 1 Gustafson, Sven-Åke 1 Gustafsson, Bertil 1 Heckman, Nancy E. 1 Hill, Gary C. 1 Hosken, J. W. J. 1 Ingemarsson, Ingemar 1 Johnson, Sterling C. 1 Knutsson, Hans 1 Koh, Eunmee 1 Kristensson, Gerhard 1 Lailly, Patrick 1 Lee, Kristine E. 1 Leng, Chenlei 1 Lin, Xiwu 1 Lindstrom, Mary J. 1 Ljung, Lennart 1 Marek, Ivo 1 Monahan, Patrick O. 1 Natterer, Frank 1 Niordson, Frithiof I. N. 1 Nordling, Nikus 1 Nychka, Douglas W. 1 Olhoff, Niels 1 O’Sullivan, Finbarr 1 Payne, Lawrence Edward 1 Philip, Johan 1 Pironneau, Olivier 1 Pokorná, Olga 1 Pugh, Thomas 1 Rasmussen, Steen Hojlund 1 Reames, Fred 1 Shi, Weiliang 1 Shiau, Jyh-Jen Horng 1 Singh, Vikas Vikram 1 Ström, Staffan 1 Sundström, Arne 1 Sündüz, Keleş 1 van Veldhuizen, M. 1 Voelker, Meta M. 1 Wang, Sijian 1 Wang, Yonghua 1 Wedin, Per-Åke 1 Yu, Menggang 1 Zhang, Luwan 1 Zhou, Hao Henry all top 5 Serials 8 The Annals of Statistics 7 Journal of the American Statistical Association 5 Journal of the Royal Statistical Society. Series B 4 Journal of Approximation Theory 4 Annals of Mathematical Statistics 3 SIAM Journal on Scientific and Statistical Computing 3 Statistics & Probability Letters 3 Communications in Statistics. Simulation and Computation 3 Proceedings of the National Academy of Sciences of the United States of America 3 Statistica Sinica 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Numerische Mathematik 2 Machine Learning 2 Communications in Statistics. Theory and Methods 2 SIAM Journal on Mathematical Analysis 2 Communications in Statistics 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Biometrics 1 Econometrica 1 IEEE Transactions on Automatic Control 1 Journal of Statistical Planning and Inference 1 Sankhyā. Series A. Methods and Techniques 1 SIAM Journal on Numerical Analysis 1 Technometrics 1 Statistical Science 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Statistical Computation and Simulation 1 Computational Statistics and Data Analysis 1 Annals of Numerical Mathematics 1 Bernoulli 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Bulletin of the American Mathematical Society 1 SIAM Journal on Control 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Statistics and Its Interface all top 5 Fields 60 Statistics (62-XX) 52 Numerical analysis (65-XX) 17 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 8 Computer science (68-XX) 6 Operator theory (47-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 2 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 4,208 times in 3,008 Documents Cited by ▼ Year ▼ Spline models for observational data. Zbl 0813.62001Wahba, Grace 1,123 1990 Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation. Zbl 0377.65007Craven, Peter; Wahba, Grace 600 1979 Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059Golub, Gene H.; Heath, Michael; Wahba, Grace 440 1979 Some results on Tchebycheffian spline functions and stochastic processes. Zbl 0201.39702Kimeldorf, G. S.; Wahba, G. 215 1971 A correspondence between Bayesian estimation on stochastic processes and smoothing by splines. Zbl 0193.45201Kimeldorf, G. S.; Wahba, G. 165 1970 Practical approximate solutions to linear operator equations when the data are noisy. Zbl 0402.65032Wahba, Grace 157 1977 Bayesian ”confidence intervals” for the cross-validated smoothing spline. Zbl 0538.65006Wahba, Grace 114 1983 A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. Zbl 0596.65004Wahba, Grace 108 1985 Multicategory support vector machines: theory and application to the classification of microarray data and satellite radiance data. Zbl 1089.62511Lee, Yoonkyung; Lin, Yi; Wahba, Grace 100 2004 Improper priors, spline smoothing and the problem of guarding against model errors in regression. Zbl 0407.62048Wahba, Grace 100 1978 Smoothing noisy data with spline functions. Zbl 0299.65008Wahba, Grace 62 1975 Spline interpolation and smoothing on the sphere. Zbl 0537.65008Wahba, Grace 60 1981 Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. (The 1994 Neyman Memorial Lecture). Zbl 0854.62042Wahba, Grace; Wang, Yuedong; Gu, Chong; Klein, Ronald; Klein, Barbara 51 1995 A note on the Lasso and related procedures in model selection. Zbl 1109.62056Leng, Chenlei; Lin, Yi; Wahba, Grace 48 2006 A completely automatic French curve: Fitting spline functions by cross validation. Zbl 0305.62043Wahba, G.; Wold, S. 47 1975 Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models. Zbl 0673.62017Cox, Dennis; Koh, Eunmee; Wahba, Grace; Yandell, Brian S. 44 1988 Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation. Zbl 0305.62021Wahba, Grace 35 1975 Automatic smoothing of the log periodogram. Zbl 0442.62074Wahba, Grace 31 1980 Hybrid adaptive splines. Zbl 1090.62535Luo, Zhen; Wahba, Grace 29 1997 Support vector machines for classification in nonstandard situations. Zbl 0998.68103Lin, Yi; Lee, Yoonkyung; Wahba, Grace 29 2002 A generalized approximate cross validation for smoothing splines with non-Gaussian data. Zbl 0854.62044Xiang, Dong; Wahba, Grace 26 1996 Data-based optimal smoothing of orthogonal series density estimates. Zbl 0463.62034Wahba, Grace 26 1981 Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method. Zbl 0727.65009Gu, Chong; Wahba, Grace 26 1991 Generalized inverses in reproducing Kernel spaces: An approach to regularization of linear operator equations. Zbl 0287.47009Nashed, M. Z.; Wahba, Grace 25 1975 Spline functions and stochastic processes. Zbl 0226.60064Kimeldorf, George S.; Wahba, Grace. 24 1970 Inequality-constrained multivariate smoothing splines with application to the estimation of posterior probabilities. Zbl 0614.62047Villalobos, Miguel; Wahba, Grace 24 1987 On the regression design problem of Sacks and Ylvisaker. Zbl 0221.62027Wahba, Grace 23 1971 Variable selection and model building via likelihood basis pursuit. Zbl 1117.62459Zhang, Hao Helen; Wahba, Grace; Lin, Yi; Voelker, Meta; Ferris, Michael; Klein, Ronald; Klein, Barbara 21 2004 Interpolating spline methods for density estimation. I: Equi-spaced knots. Zbl 0305.62022Wahba, Grace 21 1975 Cross-validated spline methods for the estimation of three-dimensional tumor size distributions from observations on two-dimensional cross sections. Zbl 0572.62085Nychka, Douglas; Wahba, Grace; Goldfarb, Stanley; Pugh, Thomas 21 1984 Smoothing spline ANOVA models for large data sets with Bernoulli observations and the randomized GACV. Zbl 1105.62358Lin, Xiwu; Wahba, Grace; Xiang, Dong; Gao, Fangyu; Klein, Ronald 20 2000 Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind. Zbl 0252.65100Wahba, Grace 20 1973 Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind. Zbl 0273.45012Nashed, M. Z.; Wahba, Grace 19 1974 Soft and hard classification by reproducing kernel Hilbert space methods. Zbl 1106.62338Wahba, Grace 19 2002 Bootstrap confidence intervals for smoothing splines and their comparison to Bayesian confidence intervals. Zbl 0842.62036Wang, Yuedong; Wahba, Grace 16 1995 Multivariate Bernoulli distribution. Zbl 1440.62227Dai, Bin; Ding, Shilin; Wahba, Grace 14 2013 Semiparametric analysis of variance with tensor product thin plate splines. Zbl 0786.62048Gu, Chong; Wahba, Grace 13 1993 GCVPACK-routines for generalized cross validation. Zbl 0618.62004Bates, Douglas M.; Lindstrom, Mary J.; Wahba, Grace; Yandell, Brian S. 13 1987 When is the optimal regularization parameter insensitive to the choice of the loss function? Zbl 0724.62044Wahba, Grace; Wang, Yonghua 13 1990 A class of approximate solutions to linear operator equations. Zbl 0267.45015Wahba, Grace 13 1973 Surface fitting with scattered noisy data on Euclidean D-space and on the sphere. Zbl 0565.65002Wahba, Grace 13 1984 A cross validated Bayesian retrieval algorithm for nonlinear remote sensing experiments. Zbl 0626.65053O’Sullivan, Finbarr; Wahba, Grace 12 1985 The computation of generalized cross-validation functions through Householder tridiagonalization with applications to the fitting of interaction spline models. Zbl 0685.65134Gu, Chong; Bates, Douglas M.; Chen, Zehua; Wahba, Grace 12 1989 Periodic splines for spectral density estimation: The use of cross validation for determining the degree of smoothing. Zbl 0305.62060Wahba, G.; Wold, S. 12 1975 Spline bases, regularization, and generalized cross validation for solving approximation problems with large quantities of noisy data. Zbl 0485.41012Wahba, Grace 11 1980 Erratum: Spline interpolation and smoothing on the sphere. Zbl 0537.65009Wahba, Grace 11 1982 Convergence rates of ”thin plate” smoothing splines when the data are noisy. (Preliminary report). Zbl 0449.65003Wahba, Grace 11 1979 Framework for kernel regularization with application to protein clustering. Zbl 1135.62345Lu, Fan; Sündüz, Keleş; Wright, Stephen J.; Wahba, Grace 10 2005 On the estimation of functions of several variables from aggregated data. Zbl 0488.65079Dyn, Nira; Wahba, Grace 9 1982 A survey of some smoothing problems and the method of generalized cross- validation for solving them. Zbl 0374.41009Wahba, Grace 9 1977 On the distribution of some statistics useful in the analysis of jointly stationary time series. Zbl 0279.62027Wahba, Grace 9 1968 Regression design for some equivalence classes of kernels. Zbl 0291.62091Wahba, Grace 9 1974 A polynomial algorithm for density estimation. Zbl 0226.62038Wahba, Grace 8 1971 Three topics in ill-posed problems. Zbl 0638.65048Wahba, Grace 8 1987 LASSO-pattern search algorithm with application to ophthalmology and genomic data. Zbl 1230.62093Shi, Weiliang; Wahba, Grace; Wright, Stephen; Lee, Kristine; Klein, Ronald; Klein, Barbara 7 2008 Some tests of independence for stationary multivariate time series. Zbl 0219.62017Wahba, G. 7 1971 Regularization and approximation of linear operator equations in reproducing kernel spaces. Zbl 0309.47012Nashed, M. Z.; Wahba, Grace 7 1974 An averaging method for the stiff highly oscillatory problem. Zbl 0336.65039Miranker, W. L.; Wahba, G. 7 1976 Statistical properties and adaptive tuning of support vector machines. Zbl 0998.68118Lin, Yi; Wahba, Grace; Zhang, Hao; Lee, Yoonkyung 6 2002 Behavior near zero of the distribution of GCV smoothing parameter estimates. Zbl 0838.62028Wahba, Grace; Wang, Yuedong 6 1995 Distance shrinkage and Euclidean embedding via regularized kernel estimation. Zbl 1414.62195Zhang, Luwan; Wahba, Grace; Yuan, Ming 6 2016 Soft classification, a.k.a. risk estimation, via penalized log likelihood and smoothing spline analysis of variance. Zbl 0861.68079Wahba, Grace; Gu, Chong; Wang, Yuedong; Chappell, Richard 5 1995 Smoothing and ill-posed problems. Zbl 0434.65104Wahba, G. 5 1979 Smoothing spline ANOVA for multivariate Bernoulli observations, with application to ophthalmology data. (With comments). Zbl 1014.62082Gao, Fangyu; Wahba, Grace; Klein, Ronald; Klein, Barbara 5 2001 Constrained regularization for ill posed linear operator equations, with applications in meteorology and medicine. Zbl 0583.62066Wahba, Grace 4 1982 Cross validated spline methods for direct and indirect sensing experiments. Zbl 0593.65013Wahba, Grace 4 1984 Rates of convergence of some estimators for a semiparametric model. Zbl 0695.62085Shiau, Jyh-Jen Horng; Wahba Grace 3 1988 Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform. Zbl 0324.65060Nashed, M. Z.; Wahba, Grace 3 1975 Histosplines with knots which are order statistics. Zbl 0329.62034Wahba, Grace 3 1976 On the optimal choice of nodes in the collocation-projection method for solving linear operator equations. Zbl 0329.65040Wahba, Grace 3 1976 Simulation studies of smoothing parameter estimates and Bayesian confidence intervals in Bernoulli SS ANOVA models. Zbl 0850.62340Wang, Y.; Wahba, G.; Chappell, R.; Gu, C. 3 1995 Multivariate thin plate spline estimates for the posterior probabilities in the classification problem. Zbl 0552.62023Villalobos, Miguel A.; Wahba, Grace 2 1983 Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data. Zbl 0502.41004Wahba, Grace 2 1982 Computational methods for generalized cross-validation with large data sets. Zbl 0502.65007Bates, Douglas M.; Wahba, Grace 2 1982 Partial and interaction spline models. Zbl 0704.62054Wahba, G. 2 1988 Estimation of the coefficients in a multidimensional distributed lag model. Zbl 0213.20904Wahba, G. 2 1969 Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data. Zbl 0885.65013Wahba, Grace; Luo, Zhen 2 1997 Getting better contour plots with S and GCVPACK. Zbl 0875.62021Bates, Douglas; Reames, Fred; Wahba, Grace 2 1993 Signal probability estimation with penalized likelihood method on weighted data. Zbl 1096.62051Lu, Fan; Hill, Gary C.; Wahba, Grace; Desiati, Paolo 2 2006 Doubly penalized likelihood estimator in heteroscedastic regression. Zbl 1075.62033Yuan, Ming; Wahba, Grace 2 2004 A note on generalized cross-validation with replicates. Zbl 0850.62358Gu, Chong; Heckman, Nancy; Wahba, Grace 1 1992 Partial spline modelling of the tropopause and other discontinuities. Zbl 0614.76047Wahba, Grace 1 1986 On the minimization of a quadratic functional subject to a continuous family of linear inequality constraints. Zbl 0254.49037Wahba, Grace 1 1973 Generalized inverses in reproducing Kernel spaces: An approach to regularization of linear operator equations. Zbl 0267.47009Nashed, M. Z.; Wahba, Grace 1 1974 Group variable selection via convex log-exp-sum penalty with application to a breast cancer survivor study. Zbl 1419.62166Geng, Zhigeng; Wang, Sijian; Yu, Menggang; Monahan, Patrick O.; Champion, Victoria; Wahba, Grace 1 2015 Comment. Zbl 1246.68189Wahba, Grace 1 2006 Optimal properties and adaptive tuning of standard and nonstandard support vector machines. Zbl 1142.62373Wahba, Grace; Lin, Yi; Lee, Yoonkyung; Zhang, Hao 1 2003 Distance shrinkage and Euclidean embedding via regularized kernel estimation. Zbl 1414.62195Zhang, Luwan; Wahba, Grace; Yuan, Ming 6 2016 Group variable selection via convex log-exp-sum penalty with application to a breast cancer survivor study. Zbl 1419.62166Geng, Zhigeng; Wang, Sijian; Yu, Menggang; Monahan, Patrick O.; Champion, Victoria; Wahba, Grace 1 2015 Multivariate Bernoulli distribution. Zbl 1440.62227Dai, Bin; Ding, Shilin; Wahba, Grace 14 2013 LASSO-pattern search algorithm with application to ophthalmology and genomic data. Zbl 1230.62093Shi, Weiliang; Wahba, Grace; Wright, Stephen; Lee, Kristine; Klein, Ronald; Klein, Barbara 7 2008 A note on the Lasso and related procedures in model selection. Zbl 1109.62056Leng, Chenlei; Lin, Yi; Wahba, Grace 48 2006 Signal probability estimation with penalized likelihood method on weighted data. Zbl 1096.62051Lu, Fan; Hill, Gary C.; Wahba, Grace; Desiati, Paolo 2 2006 Comment. Zbl 1246.68189Wahba, Grace 1 2006 Framework for kernel regularization with application to protein clustering. Zbl 1135.62345Lu, Fan; Sündüz, Keleş; Wright, Stephen J.; Wahba, Grace 10 2005 Multicategory support vector machines: theory and application to the classification of microarray data and satellite radiance data. Zbl 1089.62511Lee, Yoonkyung; Lin, Yi; Wahba, Grace 100 2004 Variable selection and model building via likelihood basis pursuit. Zbl 1117.62459Zhang, Hao Helen; Wahba, Grace; Lin, Yi; Voelker, Meta; Ferris, Michael; Klein, Ronald; Klein, Barbara 21 2004 Doubly penalized likelihood estimator in heteroscedastic regression. Zbl 1075.62033Yuan, Ming; Wahba, Grace 2 2004 Optimal properties and adaptive tuning of standard and nonstandard support vector machines. Zbl 1142.62373Wahba, Grace; Lin, Yi; Lee, Yoonkyung; Zhang, Hao 1 2003 Support vector machines for classification in nonstandard situations. Zbl 0998.68103Lin, Yi; Lee, Yoonkyung; Wahba, Grace 29 2002 Soft and hard classification by reproducing kernel Hilbert space methods. Zbl 1106.62338Wahba, Grace 19 2002 Statistical properties and adaptive tuning of support vector machines. Zbl 0998.68118Lin, Yi; Wahba, Grace; Zhang, Hao; Lee, Yoonkyung 6 2002 Smoothing spline ANOVA for multivariate Bernoulli observations, with application to ophthalmology data. (With comments). Zbl 1014.62082Gao, Fangyu; Wahba, Grace; Klein, Ronald; Klein, Barbara 5 2001 Smoothing spline ANOVA models for large data sets with Bernoulli observations and the randomized GACV. Zbl 1105.62358Lin, Xiwu; Wahba, Grace; Xiang, Dong; Gao, Fangyu; Klein, Ronald 20 2000 Hybrid adaptive splines. Zbl 1090.62535Luo, Zhen; Wahba, Grace 29 1997 Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data. Zbl 0885.65013Wahba, Grace; Luo, Zhen 2 1997 A generalized approximate cross validation for smoothing splines with non-Gaussian data. Zbl 0854.62044Xiang, Dong; Wahba, Grace 26 1996 Smoothing spline ANOVA for exponential families, with application to the Wisconsin epidemiological study of diabetic retinopathy. (The 1994 Neyman Memorial Lecture). Zbl 0854.62042Wahba, Grace; Wang, Yuedong; Gu, Chong; Klein, Ronald; Klein, Barbara 51 1995 Bootstrap confidence intervals for smoothing splines and their comparison to Bayesian confidence intervals. Zbl 0842.62036Wang, Yuedong; Wahba, Grace 16 1995 Behavior near zero of the distribution of GCV smoothing parameter estimates. Zbl 0838.62028Wahba, Grace; Wang, Yuedong 6 1995 Soft classification, a.k.a. risk estimation, via penalized log likelihood and smoothing spline analysis of variance. Zbl 0861.68079Wahba, Grace; Gu, Chong; Wang, Yuedong; Chappell, Richard 5 1995 Simulation studies of smoothing parameter estimates and Bayesian confidence intervals in Bernoulli SS ANOVA models. Zbl 0850.62340Wang, Y.; Wahba, G.; Chappell, R.; Gu, C. 3 1995 Semiparametric analysis of variance with tensor product thin plate splines. Zbl 0786.62048Gu, Chong; Wahba, Grace 13 1993 Getting better contour plots with S and GCVPACK. Zbl 0875.62021Bates, Douglas; Reames, Fred; Wahba, Grace 2 1993 A note on generalized cross-validation with replicates. Zbl 0850.62358Gu, Chong; Heckman, Nancy; Wahba, Grace 1 1992 Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method. Zbl 0727.65009Gu, Chong; Wahba, Grace 26 1991 Spline models for observational data. Zbl 0813.62001Wahba, Grace 1,123 1990 When is the optimal regularization parameter insensitive to the choice of the loss function? Zbl 0724.62044Wahba, Grace; Wang, Yonghua 13 1990 The computation of generalized cross-validation functions through Householder tridiagonalization with applications to the fitting of interaction spline models. Zbl 0685.65134Gu, Chong; Bates, Douglas M.; Chen, Zehua; Wahba, Grace 12 1989 Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models. Zbl 0673.62017Cox, Dennis; Koh, Eunmee; Wahba, Grace; Yandell, Brian S. 44 1988 Rates of convergence of some estimators for a semiparametric model. Zbl 0695.62085Shiau, Jyh-Jen Horng; Wahba Grace 3 1988 Partial and interaction spline models. Zbl 0704.62054Wahba, G. 2 1988 Inequality-constrained multivariate smoothing splines with application to the estimation of posterior probabilities. Zbl 0614.62047Villalobos, Miguel; Wahba, Grace 24 1987 GCVPACK-routines for generalized cross validation. Zbl 0618.62004Bates, Douglas M.; Lindstrom, Mary J.; Wahba, Grace; Yandell, Brian S. 13 1987 Three topics in ill-posed problems. Zbl 0638.65048Wahba, Grace 8 1987 Partial spline modelling of the tropopause and other discontinuities. Zbl 0614.76047Wahba, Grace 1 1986 A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. Zbl 0596.65004Wahba, Grace 108 1985 A cross validated Bayesian retrieval algorithm for nonlinear remote sensing experiments. Zbl 0626.65053O’Sullivan, Finbarr; Wahba, Grace 12 1985 Cross-validated spline methods for the estimation of three-dimensional tumor size distributions from observations on two-dimensional cross sections. Zbl 0572.62085Nychka, Douglas; Wahba, Grace; Goldfarb, Stanley; Pugh, Thomas 21 1984 Surface fitting with scattered noisy data on Euclidean D-space and on the sphere. Zbl 0565.65002Wahba, Grace 13 1984 Cross validated spline methods for direct and indirect sensing experiments. Zbl 0593.65013Wahba, Grace 4 1984 Bayesian ”confidence intervals” for the cross-validated smoothing spline. Zbl 0538.65006Wahba, Grace 114 1983 Multivariate thin plate spline estimates for the posterior probabilities in the classification problem. Zbl 0552.62023Villalobos, Miguel A.; Wahba, Grace 2 1983 Erratum: Spline interpolation and smoothing on the sphere. Zbl 0537.65009Wahba, Grace 11 1982 On the estimation of functions of several variables from aggregated data. Zbl 0488.65079Dyn, Nira; Wahba, Grace 9 1982 Constrained regularization for ill posed linear operator equations, with applications in meteorology and medicine. Zbl 0583.62066Wahba, Grace 4 1982 Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data. Zbl 0502.41004Wahba, Grace 2 1982 Computational methods for generalized cross-validation with large data sets. Zbl 0502.65007Bates, Douglas M.; Wahba, Grace 2 1982 Spline interpolation and smoothing on the sphere. Zbl 0537.65008Wahba, Grace 60 1981 Data-based optimal smoothing of orthogonal series density estimates. Zbl 0463.62034Wahba, Grace 26 1981 Automatic smoothing of the log periodogram. Zbl 0442.62074Wahba, Grace 31 1980 Spline bases, regularization, and generalized cross validation for solving approximation problems with large quantities of noisy data. Zbl 0485.41012Wahba, Grace 11 1980 Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation. Zbl 0377.65007Craven, Peter; Wahba, Grace 600 1979 Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059Golub, Gene H.; Heath, Michael; Wahba, Grace 440 1979 Convergence rates of ”thin plate” smoothing splines when the data are noisy. (Preliminary report). Zbl 0449.65003Wahba, Grace 11 1979 Smoothing and ill-posed problems. Zbl 0434.65104Wahba, G. 5 1979 Improper priors, spline smoothing and the problem of guarding against model errors in regression. Zbl 0407.62048Wahba, Grace 100 1978 Practical approximate solutions to linear operator equations when the data are noisy. Zbl 0402.65032Wahba, Grace 157 1977 A survey of some smoothing problems and the method of generalized cross- validation for solving them. Zbl 0374.41009Wahba, Grace 9 1977 An averaging method for the stiff highly oscillatory problem. Zbl 0336.65039Miranker, W. L.; Wahba, G. 7 1976 Histosplines with knots which are order statistics. Zbl 0329.62034Wahba, Grace 3 1976 On the optimal choice of nodes in the collocation-projection method for solving linear operator equations. Zbl 0329.65040Wahba, Grace 3 1976 Smoothing noisy data with spline functions. Zbl 0299.65008Wahba, Grace 62 1975 A completely automatic French curve: Fitting spline functions by cross validation. Zbl 0305.62043Wahba, G.; Wold, S. 47 1975 Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation. Zbl 0305.62021Wahba, Grace 35 1975 Generalized inverses in reproducing Kernel spaces: An approach to regularization of linear operator equations. Zbl 0287.47009Nashed, M. Z.; Wahba, Grace 25 1975 Interpolating spline methods for density estimation. I: Equi-spaced knots. Zbl 0305.62022Wahba, Grace 21 1975 Periodic splines for spectral density estimation: The use of cross validation for determining the degree of smoothing. Zbl 0305.62060Wahba, G.; Wold, S. 12 1975 Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform. Zbl 0324.65060Nashed, M. Z.; Wahba, Grace 3 1975 Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind. Zbl 0273.45012Nashed, M. Z.; Wahba, Grace 19 1974 Regression design for some equivalence classes of kernels. Zbl 0291.62091Wahba, Grace 9 1974 Regularization and approximation of linear operator equations in reproducing kernel spaces. Zbl 0309.47012Nashed, M. Z.; Wahba, Grace 7 1974 Generalized inverses in reproducing Kernel spaces: An approach to regularization of linear operator equations. Zbl 0267.47009Nashed, M. Z.; Wahba, Grace 1 1974 Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind. Zbl 0252.65100Wahba, Grace 20 1973 A class of approximate solutions to linear operator equations. Zbl 0267.45015Wahba, Grace 13 1973 On the minimization of a quadratic functional subject to a continuous family of linear inequality constraints. Zbl 0254.49037Wahba, Grace 1 1973 Some results on Tchebycheffian spline functions and stochastic processes. Zbl 0201.39702Kimeldorf, G. S.; Wahba, G. 215 1971 On the regression design problem of Sacks and Ylvisaker. Zbl 0221.62027Wahba, Grace 23 1971 A polynomial algorithm for density estimation. Zbl 0226.62038Wahba, Grace 8 1971 Some tests of independence for stationary multivariate time series. Zbl 0219.62017Wahba, G. 7 1971 A correspondence between Bayesian estimation on stochastic processes and smoothing by splines. Zbl 0193.45201Kimeldorf, G. S.; Wahba, G. 165 1970 Spline functions and stochastic processes. Zbl 0226.60064Kimeldorf, George S.; Wahba, Grace. 24 1970 Estimation of the coefficients in a multidimensional distributed lag model. Zbl 0213.20904Wahba, G. 2 1969 On the distribution of some statistics useful in the analysis of jointly stationary time series. Zbl 0279.62027Wahba, Grace 9 1968 all cited Publications top 5 cited Publications all top 5 Cited by 4,533 Authors 28 Wahba, Grace 27 Pillonetto, Gianluigi 21 Lian, Heng 19 Liu, Yufeng 17 Wand, Matthew P. 16 Wang, Yuedong 15 Wasilkowski, Grzegorz W. 15 Woźniakowski, Henryk 14 Lukas, Mark A. 13 Hall, Peter Gavin 13 Wood, Simon N. 12 Hickernell, Fred J. 12 Jbilou, Khalide 12 Kohler, Michael 12 Marin, Liviu 12 Marra, Giampiero 12 Nashed, M. Zuhair 12 Yuan, Ming 11 Cao, Jiguo 11 Gu, Chong 11 Soltani, Fethi 11 Wu, Yichao 11 Zhang, Hao Helen 10 Aydin, Dursun 10 De Nicolao, Giuseppe 10 Pasadas, Miguel 10 Sugiyama, Masashi 10 Suykens, Johan A. K. 10 Van der Vaart, Adrianus Willem 10 Zhou, Dingxuan 9 Bouhamidi, Abderrahman 9 Chung, Julianne M. 9 Du, Pang 9 Huang, Jian 9 Ma, Shuangge 9 Murio, Diego A. 9 Reichel, Lothar 9 Rosasco, Lorenzo A. 9 Rue, Håvard 9 van der Linde, Angelika 8 Anderssen, Robert Scott 8 Antoniadis, Anestis 8 de Hoog, Frank Robert 8 De Vito, Ernesto 8 Hansen, Per Christian 8 Kohn, Robert J. 8 Koukouvinos, Christos 8 Liang, Hua 8 Lin, Lu 8 Marron, James Stephen 8 Martin, Clyde Franklin 8 Pourgholi, Reza 8 Radice, Rosalba 8 Rodriguez, Giuseppe 8 Sloan, Ian Hugh 8 Suzuki, Taiji 7 Cavoretto, Roberto 7 De Canditiis, Daniela 7 Dette, Holger 7 Dias, Ronaldo 7 Fan, Jianqing 7 Freeden, Willi 7 Ghosh, Debashis 7 Heckman, Nancy E. 7 Kauermann, Goran 7 Kim, Peter T. 7 Krzyżak, Adam 7 Kuo, Frances Y. 7 Leng, Chenlei 7 Lin, Xihong 7 Ma, Ping 7 Ramsay, James O. 7 Yilmaz, Ersin 7 Yue, Yu Ryan 7 Zhang, Haizhang 7 Zhu, Lixing 6 Cheng, Guang 6 Coles, C. W. 6 De Rossi, Alessandra 6 Durban, Maria 6 Gijbels, Irène 6 Golubev, Yuriĭ K. 6 Hastie, Trevor John 6 Hegland, Markus 6 Huang, Jianhua Z. 6 Hwang, Changha 6 Kim, YoungJu 6 Koo, Ja-Yong 6 Kosorok, Michael R. 6 Koul, Hira Lal 6 LaRiccia, Vincent N. 6 Lesnic, Daniel 6 Ljung, Lennart 6 Munk, Axel 6 Oh, Heeseok 6 Özkale, M. Revan 6 Sanguineti, Marcello 6 Seatzu, Sebastiano 6 Shang, Han Lin 6 Shang, Zuofeng ...and 4,433 more Authors all top 5 Cited in 375 Serials 164 Computational Statistics and Data Analysis 107 The Annals of Statistics 99 Journal of Statistical Planning and Inference 81 Journal of Multivariate Analysis 72 Communications in Statistics. Theory and Methods 66 Biometrics 64 Communications in Statistics. 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Advances in Statistical Analysis 8 Computer Aided Geometric Design 8 Constructive Approximation 8 Econometric Reviews 8 Annals of Operations Research 8 Journal of Global Optimization 8 Statistical Methodology 8 Inverse Problems and Imaging 8 Mathematical Geosciences 8 SIAM/ASA Journal on Uncertainty Quantification 7 Applicable Analysis 7 Calcolo 7 Journal of Optimization Theory and Applications 7 Numerical Functional Analysis and Optimization 7 Acta Applicandae Mathematicae 7 Applied Mathematics Letters 7 Lifetime Data Analysis 6 International Journal of Systems Science 6 Mathematical Biosciences 6 Psychometrika 6 Computing 6 Fuzzy Sets and Systems 6 SIAM Journal on Numerical Analysis 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Bulletin of the American Mathematical Society. New Series 6 International Journal of Computer Vision ...and 275 more Serials all top 5 Cited in 51 Fields 1,952 Statistics (62-XX) 1,046 Numerical analysis (65-XX) 375 Computer science (68-XX) 206 Approximations and expansions (41-XX) 145 Probability theory and stochastic processes (60-XX) 138 Operations research, mathematical programming (90-XX) 133 Biology and other natural sciences (92-XX) 121 Functional analysis (46-XX) 120 Information and communication theory, circuits (94-XX) 101 Systems theory; control (93-XX) 80 Partial differential equations (35-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Operator theory (47-XX) 59 Integral equations (45-XX) 59 Geophysics (86-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 29 Mechanics of deformable solids (74-XX) 25 Integral transforms, operational calculus (44-XX) 24 Fluid mechanics (76-XX) 21 Ordinary differential equations (34-XX) 14 Special functions (33-XX) 12 Optics, electromagnetic theory (78-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Number theory (11-XX) 8 Combinatorics (05-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Real functions (26-XX) 7 Measure and integration (28-XX) 6 Quantum theory (81-XX) 5 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Abstract harmonic analysis (43-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Astronomy and astrophysics (85-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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