-
2
-
-
0002431823
-
A time series approach to numerical differentiation
-
Feb.
-
R. S. Anderssen and P. Bloomfield, “A time series approach to numerical differentiation,” Technometrics, vol. 16, no. 1, pp. 69-75, Feb. 1974.
-
(1974)
Technometrics
, vol.16
, Issue.1
, pp. 69-75
-
-
Anderssen, R.S.1
Bloomfield, P.2
-
3
-
-
0006090408
-
Computational methods for generalized cross-validation with large data sets
-
C. T. H. Baker and G. F. Miller, Eds. New York: Academic
-
D. M. Bates and G. Wahba, “Computational methods for generalized cross-validation with large data sets,” in Treatment of Integral Equations by Numerical Methods, C. T. H. Baker and G. F. Miller, Eds. New York: Academic, 1982.
-
(1982)
Treatment of Integral Equations by Numerical Methods
-
-
Bates, D.M.1
Wahba, G.2
-
4
-
-
0010048243
-
GCVPACK-Routines for generalized cross-validation
-
Dep. Statistics, Univ. Wisconsin, Tech. Rep. 775, Nov., also in
-
D. M. Bates, M. J. Lindstrom, G. Wahba, and B. S. Yandel, “GCVPACK-Routines for generalized cross-validation,” Dep. Statistics, Univ. Wisconsin, Tech. Rep. 775, Nov. 1985; also in
-
(1985)
-
-
Bates, D.M.1
Lindstrom, M.J.2
Wahba, G.3
Yandel, B.S.4
-
7
-
-
84918609813
-
Techniques of testing consistency of regression relationships over time
-
R. L. Brown, J. Durbin, and J. M. Evans, “Techniques of testing consistency of regression relationships over time,” J. Royal Stat. Assoc., vol. 70, pp. 70-79, 1975.
-
(1975)
J. Royal Stat. Assoc.
, vol.70
, pp. 70-79
-
-
Brown, R.L.1
Durbin, J.2
Evans, J.M.3
-
8
-
-
34250263445
-
Smoothing noisy data with spline functions-Estimating the correct degree of smoothing by the method of generalized cross-validation
-
P. Craven and G. Wahba, “Smoothing noisy data with spline functions-Estimating the correct degree of smoothing by the method of generalized cross-validation,” Numerische Mathematik, no. 31, pp. 377-403, 1979.
-
(1979)
Numerische Mathematik
, Issue.31
, pp. 377-403
-
-
Craven, P.1
Wahba, G.2
-
9
-
-
0001935440
-
Splines minimizing rotation-invariant semi-norms in Sobolev spaces
-
W. Schempp and K. Zeller, Eds.
-
J. Duchon, “Splines minimizing rotation-invariant semi-norms in Sobolev spaces,” in Constructive Theory of Functions of Several Variables, W. Schempp and K. Zeller, Eds. 1976, pp. 85-100.
-
(1976)
Constructive Theory of Functions of Several Variables
, pp. 85-100
-
-
Duchon, J.1
-
10
-
-
0000565315
-
Algorithms for the regularization of ill-conditioned least squares problems
-
L. Elden, “Algorithms for the regularization of ill-conditioned least squares problems,” BIT, vol. 17, pp. 134-145, 1977.
-
(1977)
BIT
, vol.17
, pp. 134-145
-
-
Elden, L.1
-
11
-
-
0002626762
-
A note on the computation of generalized cross-validation function for ill-conditioned least squares problems
-
“A note on the computation of generalized cross-validation function for ill-conditioned least squares problems,” BIT, vol. 24, pp. 467-472, 1984.
-
(1984)
BIT
, vol.24
, pp. 467-472
-
-
-
12
-
-
84950645271
-
The predictive sample reuse method with applications
-
S. Geisser, “The predictive sample reuse method with applications,” J. Amer. Stat. Assoc., vol. 70, no. 350, pp. 320-328, 1975.
-
(1975)
J. Amer. Stat. Assoc.
, vol.70
, Issue.350
, pp. 320-328
-
-
Geisser, S.1
-
13
-
-
32044449925
-
Generalized cross-validation as a method for choosing a good ridge parameter
-
May
-
G. H. Golub, M. Heath, and G. Wahba, “Generalized cross-validation as a method for choosing a good ridge parameter,” Technometrics, vol. 21, no. 2, pp. 215-223, May 1979.
-
(1979)
Technometrics
, vol.21
, Issue.2
, pp. 215-223
-
-
Golub, G.H.1
Heath, M.2
Wahba, G.3
-
14
-
-
0020642298
-
An implementation of a computational theory of visual surface interpolation
-
W. E. L. Grimson, “An implementation of a computational theory of visual surface interpolation,” Comput. Vision, Graphics, Image Processing, vol. 22, pp. 39-69, 1983.
-
(1983)
Comput. Vision, Graphics, Image Processing
, vol.22
, pp. 39-69
-
-
Grimson, W.E.L.1
-
16
-
-
0000406385
-
A correspondence between Bayesian estimation on stochastic processes and smoothing by splines
-
G. S. Kimeldorf and G. Wahba, “A correspondence between Bayesian estimation on stochastic processes and smoothing by splines,” Ann. Math. Stat., vol. 41, no. 2, pp. 495-502, 1970.
-
(1970)
Ann. Math. Stat.
, vol.41
, Issue.2
, pp. 495-502
-
-
Kimeldorf, G.S.1
Wahba, G.2
-
17
-
-
0023266934
-
One-dimensional regularization with discontinuities
-
London
-
D. Lee and T. Pavlidis, “One-dimensional regularization with discontinuities,” in Proc. First Int. Conf. Computer Vision, London, 1987, pp. 573-577.
-
(1987)
Proc. First Int. Conf. Computer Vision
, pp. 573-577
-
-
Lee, D.1
Pavlidis, T.2
-
18
-
-
0000840124
-
From Stein's unbiased estimate to the method of generalized cross validation
-
K. C. Li, “From Stein's unbiased estimate to the method of generalized cross validation,” Ann. Stat., vol. 13, no. 4, pp. 1352-1377, 1985.
-
(1985)
Ann. Stat.
, vol.13
, Issue.4
, pp. 1352-1377
-
-
Li, K.C.1
-
19
-
-
0001897992
-
Optimal estimation of linear operators in Hilbert spaces from inaccurate data
-
A. A. Melkman and C. A. Micchelli, “Optimal estimation of linear operators in Hilbert spaces from inaccurate data,” SI AM J. Numer. Anal., vol. 16, pp. 87-105, 1979.
-
(1979)
SI AM J. Numer. Anal.
, vol.16
, pp. 87-105
-
-
Melkman, A.A.1
Micchelli, C.A.2
-
20
-
-
0000024574
-
Cross-validated spline methods for the estimation of Three-dimensional tumor size distributions from observations on two-dimensional crosssections
-
D. Nychka, G. Wahba, S. Goldfrab, and T. Pugh, “Cross-validated spline methods for the estimation of Three-dimensional tumor size distributions from observations on two-dimensional crosssections,” J. Amer. Stat. Assoc., vol. 79, pp. 832-846, 1984.
-
(1984)
J. Amer. Stat. Assoc.
, vol.79
, pp. 832-846
-
-
Nychka, D.1
Wahba, G.2
Goldfrab, S.3
Pugh, T.4
-
21
-
-
0004331063
-
Ill-posed problems and regularization analysis in early vision
-
T. Poggio and V. Torre, “Ill-posed problems and regularization analysis in early vision,” in Proc. DARPA Image Understanding Workshop, 1984, pp. 257-263.
-
(1984)
Proc. DARPA Image Understanding Workshop
, pp. 257-263
-
-
Poggio, T.1
Torre, V.2
-
22
-
-
0022417790
-
Computational vision and regularization theory
-
T. Poggio, V. Torre, and C. Koch, “Computational vision and regularization theory,” Nature, vol. 317, no. 6035, pp. 314-319, 1985.
-
(1985)
Nature
, vol.317
, Issue.6035
, pp. 314-319
-
-
Poggio, T.1
Torre, V.2
Koch, C.3
-
23
-
-
0003604316
-
A regularized solution to edge detection
-
MIT Artificial Intell. Lab., Mem. 883, May
-
T. Poggio, H. Voorhees, and A. Yuille, “A regularized solution to edge detection,” MIT Artificial Intell. Lab., Mem. 883, May 1985.
-
(1985)
-
-
Poggio, T.1
Voorhees, H.2
Yuille, A.3
-
24
-
-
0001607168
-
Error bounds for derivative estimates based on spline smoothing of exact or noisy data
-
D. L. Ragozin, “Error bounds for derivative estimates based on spline smoothing of exact or noisy data,” J. Approximation Theory, no. 37, pp. 335-355, 1983.
-
(1983)
J. Approximation Theory
, Issue.37
, pp. 335-355
-
-
Ragozin, D.L.1
-
25
-
-
34250516079
-
Smoothing by spline functions
-
C. M. Reinsch, “Smoothing by spline functions,” Numerische Mathematik, vol. 10, pp. 177-183, 1967.
-
(1967)
Numerische Mathematik
, vol.10
, pp. 177-183
-
-
Reinsch, C.M.1
-
26
-
-
0001426609
-
Spline functions and the problem of graduation
-
I. J. Schoenberg, “Spline functions and the problem of graduation,” Proc. Nat. Acad. Sci., vol. 52, pp. 947-950, 1964.
-
(1964)
Proc. Nat. Acad. Sci.
, vol.52
, pp. 947-950
-
-
Schoenberg, I.J.1
-
27
-
-
84910708042
-
Measurement of boundary curvature of quantized shapes: A method based on smoothing spline approximation
-
Ph.D. dissertation, Dep. Elec. Eng. Comput. Sci., Univ. Michigan, Ann Arbor
-
B. Shahraray, “Measurement of boundary curvature of quantized shapes: A method based on smoothing spline approximation,” Ph.D. dissertation, Dep. Elec. Eng. Comput. Sci., Univ. Michigan, Ann Arbor, 1985.
-
(1985)
-
-
Shahraray, B.1
-
28
-
-
0022565976
-
Optimal smoothing of digitized contours
-
Miami, FL, June 22-26
-
B. Shahraray and D. J. Anderson, “Optimal smoothing of digitized contours,” in Proc. IEEE Comput. Soc. Conf. Computer Vision and Pattern Recognition, Miami, FL, June 22-26, 1986, pp. 210-218.
-
(1986)
Proc. IEEE Comput. Soc. Conf. Computer Vision and Pattern Recognition
, pp. 210-218
-
-
Shahraray, B.1
Anderson, D.J.2
-
29
-
-
0011048473
-
Smoothing spline estimation of functions with discontinuities
-
Ph.D. dissertation, Dep. Stat., Univ. Wisconsin, Madison
-
J. H. Shiau, “Smoothing spline estimation of functions with discontinuities,” Ph.D. dissertation, Dep. Stat., Univ. Wisconsin, Madison, 1985.
-
(1985)
-
-
Shiau, J.H.1
-
30
-
-
84950454897
-
A fast and efficient cross-validation method for smoothing parameter choice in spline regression
-
B. W. Silverman, “A fast and efficient cross-validation method for smoothing parameter choice in spline regression,” J. Amer. Stat. Assoc., vol. 79, pp. 584-589, 1984.
-
(1984)
J. Amer. Stat. Assoc.
, vol.79
, pp. 584-589
-
-
Silverman, B.W.1
-
31
-
-
0000629975
-
Cross-validatory choice and assessment of statistical prediction
-
M. Stone, “Cross-validatory choice and assessment of statistical prediction,” J. Roy. Stat. Soc. Ser. B, vol. 36, no. 2, pp. 111-147, 1974.
-
(1974)
J. Roy. Stat. Soc. Ser. B
, vol.36
, Issue.2
, pp. 111-147
-
-
Stone, M.1
-
32
-
-
0022756380
-
Regularization of inverse visual problems involving discontinuities
-
July
-
D. Terzopoulos, “Regularization of inverse visual problems involving discontinuities,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, no. 4, pp. 413-424, July 1986.
-
(1986)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.PAMI-8
, Issue.4
, pp. 413-424
-
-
Terzopoulos, D.1
-
33
-
-
0001300995
-
Regularization of incorrectly posed problems
-
A. N. Tikhonov, “Regularization of incorrectly posed problems,” Sov. Math. Dokl., vol. 4, pp. 1624-1627, 1963.
-
(1963)
Sov. Math. Dokl.
, vol.4
, pp. 1624-1627
-
-
Tikhonov, A.N.1
-
35
-
-
0002617598
-
A completely automatic french curve: Fitting splines by cross validation
-
G. Wahba and S. Wold, “A completely automatic french curve: Fitting splines by cross validation,” Commun. Stat., vol. 4, no. 1, pp. 1-17, 1975.
-
(1975)
Commun. Stat.
, vol.4
, Issue.1
, pp. 1-17
-
-
Wahba, G.1
Wold, S.2
-
36
-
-
0000620787
-
Periodic splines for spectral density estimation: The use ofcross validation for determining the degree of smoothing
-
“Periodic splines for spectral density estimation: The use ofcross validation for determining the degree of smoothing,” Commun. Stat., vol. 4, no. 2, pp. 125-141, 1975.
-
(1975)
Commun. Stat.
, vol.4
, Issue.2
, pp. 125-141
-
-
-
37
-
-
0002328596
-
A survey of some smoothing problems and the method of generalized cross-validation for solving them
-
P. R. Krishnaiah, Ed. Amsterdam, The Netherlands: North-Holland
-
G. Wahba, “A survey of some smoothing problems and the method of generalized cross-validation for solving them,” in Applications of Statistics, P. R. Krishnaiah, Ed. Amsterdam, The Netherlands: North-Holland, 1977, pp. 507-523.
-
(1977)
Applications of Statistics
, pp. 507-523
-
-
Wahba, G.1
-
38
-
-
0039648522
-
Ill-posed problems: Numerical and statistical methods formildy, moderately and severely ill-posed problems with noisy data
-
Dep. Stat., Univ. Wisconsin, Madison, Tech. Rep. 595, also in
-
“Ill-posed problems: Numerical and statistical methods formildy, moderately and severely ill-posed problems with noisy data,” Dep. Stat., Univ. Wisconsin, Madison, Tech. Rep. 595, 1980; also in
-
(1980)
-
-
-
40
-
-
0037577722
-
Constrained regularization for ill-posed linear operator equations with applications in meteorology and medicine
-
S. Gupta and J. O. Berger, Eds. New York: Academic
-
“Constrained regularization for ill-posed linear operator equations with applications in meteorology and medicine,” in Statistical Decision Theory and Related Topics III, vol. 2, S. Gupta and J. O. Berger, Eds. New York: Academic, 1982, pp. 383-418.
-
(1982)
Statistical Decision Theory and Related Topics III
, vol.2
, pp. 383-418
-
-
-
41
-
-
0000681041
-
Some new mathematical methods for variational objective analysis using splines and cross-validation
-
G. Wahba and J. Wendelberger, “Some new mathematical methods for variational objective analysis using splines and cross-validation,” Monthly Weather Rev., vol. 108, pp. 36-57, 1980.
-
(1980)
Monthly Weather Rev.
, vol.108
, pp. 36-57
-
-
Wahba, G.1
Wendelberger, J.2
-
42
-
-
0000608177
-
A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem
-
G. Wahba, “A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem,” Ann. Stat., vol. 13, no. 4, pp. 1378-1402, 1985.
-
(1985)
Ann. Stat.
, vol.13
, Issue.4
, pp. 1378-1402
-
-
Wahba, G.1
-
43
-
-
1842346447
-
The computation of Laplacian smoothing splines with examples
-
Dep. Stat., Univ. Wisconsin, Madison, Tech. Rep. 648
-
J. Wendelberger, “The computation of Laplacian smoothing splines with examples,” Dep. Stat., Univ. Wisconsin, Madison, Tech. Rep. 648, 1981.
-
(1981)
-
-
Wendelberger, J.1
-
44
-
-
0037539583
-
Smoothing noisy data with multidimensional splines and generalized cross-validation
-
Ph.D. dissertation, Dep. Stat., Univ. Wisconsin, Madison
-
J. Wendelberger, “Smoothing noisy data with multidimensional splines and generalized cross-validation,” Ph.D. dissertation, Dep. Stat., Univ. Wisconsin, Madison, 1983.
-
(1983)
-
-
Wendelberger, J.1
-
45
-
-
84975992278
-
On a new method of graduation
-
E. T. Whittaker, “On a new method of graduation,” Proc. Edinburgh Math. Soc., vol. 41, pp. 63-75, 1923.
-
(1923)
Proc. Edinburgh Math. Soc.
, vol.41
, pp. 63-75
-
-
Whittaker, E.T.1
-
46
-
-
0022752205
-
Robust estimation of Three-dimensional motion parameters from a sequence of image frames using regularization
-
July
-
Y. Yasumoto and G. Medioni, “Robust estimation of Three-dimensional motion parameters from a sequence of image frames using regularization,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, no. 4, pp. 464-471, July 1986.
-
(1986)
IEEE Trans. Pattern Anal. Machine Intell.
, vol.PAMI-8
, Issue.4
, pp. 464-471
-
-
Yasumoto, Y.1
Medioni, G.2
|