-
1
-
-
3142725508
-
"Optimal aggregation of classifiers in statistical learning"
-
A. B. Tsybakov, "Optimal aggregation of classifiers in statistical learning," Ann. Statist., vol. 32, no. 1, pp. 135-166, 2004.
-
(2004)
Ann. Statist.
, vol.32
, Issue.1
, pp. 135-166
-
-
Tsybakov, A.B.1
-
3
-
-
0001347323
-
"Complexity regularization with application to artificial neural networks"
-
ser. NATO ASI, G. Roussas, Ed. Dordrecht, The Netherlands: Kluwer
-
A. Barron, "Complexity regularization with application to artificial neural networks," in Nonparametric Functional Estimation and Related Topics. ser. NATO ASI, G. Roussas, Ed. Dordrecht, The Netherlands: Kluwer, 1991, pp. 561-576.
-
(1991)
Nonparametric Functional Estimation and Related Topics
, pp. 561-576
-
-
Barron, A.1
-
4
-
-
0029754587
-
"Concept learning using complexity regularization"
-
Jan
-
G. Lugosi and K. Zeger, "Concept learning using complexity regularization," IEEE Trans. Inf. Theory, vol. 42, no. 1, pp. 48-54, Jan, 1996.
-
(1996)
IEEE Trans. Inf. Theory
, vol.42
, Issue.1
, pp. 48-54
-
-
Lugosi, G.1
Zeger, K.2
-
5
-
-
84898998236
-
"Dyadic classification trees via structural risk minimization"
-
S. Becker, S. Thrun, and K. Obermayer, Eds. Cambridge, MA: MIT Press
-
C. Scott and R. Nowak, "Dyadic classification trees via structural risk minimization," in Advances in Neural Information Processing Systems, S. Becker, S. Thrun, and K. Obermayer, Eds. Cambridge, MA: MIT Press, 2003, vol. 15.
-
(2003)
Advances in Neural Information Processing Systems
, vol.15
-
-
Scott, C.1
Nowak, R.2
-
6
-
-
85009724776
-
"Nonlinear approximation"
-
R. A. De Vore, "Nonlinear approximation," Acta Numerica, vol. 7, pp. 51-150, 1998.
-
(1998)
Acta Numerica
, vol.7
, pp. 51-150
-
-
De Vore, R.A.1
-
7
-
-
0035447035
-
"Tree approximation and optimal encoding"
-
A. Cohen, W. Dahmen, I. Daubechies, and R. A. DeVore, "Tree approximation and optimal encoding," Appl. Comput. Harmonic Anal., vol. 11, no. 2, pp. 192-226, 2001.
-
(2001)
Appl. Comput. Harmonic Anal.
, vol.11
, Issue.2
, pp. 192-226
-
-
Cohen, A.1
Dahmen, W.2
Daubechies, I.3
DeVore, R.A.4
-
8
-
-
0033248623
-
"Wedgelets: Nearly minimax estimation of edges"
-
D. Donoho, "Wedgelets: Nearly minimax estimation of edges," Ann. Statist., vol. 27, pp. 859-897, 1999.
-
(1999)
Ann. Statist.
, vol.27
, pp. 859-897
-
-
Donoho, D.1
-
10
-
-
0033234630
-
"Smooth discrimination analysis"
-
E. Mammen and A. B. Tsybakov, "Smooth discrimination analysis," Ann. Statist., vol. 27, pp. 1808-1829, 1999.
-
(1999)
Ann. Statist.
, vol.27
, pp. 1808-1829
-
-
Mammen, E.1
Tsybakov, A.B.2
-
11
-
-
0009289545
-
"Optimal rates of convergence to Bayes risk in nonparametric discrimination"
-
J. S. Marron, "Optimal rates of convergence to Bayes risk in nonparametric discrimination," Ann. Statist., vol. 11, no. 4, pp. 1142-1155, 1983.
-
(1983)
Ann. Statist.
, vol.11
, Issue.4
, pp. 1142-1155
-
-
Marron, J.S.1
-
12
-
-
0033321586
-
"Minimax nonparametric classification - Part I: Rates of convergence"
-
Nov
-
Y. Yang, "Minimax nonparametric classification - Part I: Rates of convergence," IEEE Trans. Inf. Theory, vol. 45, no. 7, pp. 2271-2284, Nov. 1999.
-
(1999)
IEEE Trans. Inf. Theory
, vol.45
, Issue.7
, pp. 2271-2284
-
-
Yang, Y.1
-
13
-
-
33645704704
-
"PAC-Bayesian statistical learning theory"
-
Ph.D. dissertation, Université Paris 6, Paris, France, Jun
-
J.-Y. Audibert, "PAC-Bayesian statistical learning theory," Ph.D. dissertation, Université Paris 6, Paris, France, Jun. 2004.
-
(2004)
-
-
Audibert, J.-Y.1
-
14
-
-
23744505130
-
"Square root penalty: Adaptation to the margin in classification and in edge estimation"
-
A. B. Tsybakov and S. A. van de Geer, "Square root penalty: Adaptation to the margin in classification and in edge estimation," Ann. Statist., vol. 33, no. 3, pp. 1203-1224, 2005.
-
(2005)
Ann. Statist.
, vol.33
, Issue.3
, pp. 1203-1224
-
-
Tsybakov, A.B.1
van de Geer, S.A.2
-
15
-
-
1542367492
-
"Convexity, classification, and risk bounds"
-
Dep. Statistics Univ. California, Berkeley, Tech. Rep. 638, to be published
-
P. Bartlett, M. Jordan, and J. McAuliffe, "Convexity, classification, and risk bounds," J. Amer. Statist. Assoc.. Dep. Statistics, Univ. California, Berkeley, Tech. Rep. 638, 2003, to be published.
-
(2003)
J. Amer. Statist. Assoc.
-
-
Bartlett, P.1
Jordan, M.2
McAuliffe, J.3
-
16
-
-
3042675892
-
"On the rate of convergence of regularized boosting classifiers"
-
G. Blanchard, G. Lugosi, and N. Vayatis, "On the rate of convergence of regularized boosting classifiers," J. Mach. Learning Res., vol. 4, pp. 861-894, 2003.
-
(2003)
J. Mach. Learning Res.
, vol.4
, pp. 861-894
-
-
Blanchard, G.1
Lugosi, G.2
Vayatis, N.3
-
17
-
-
17444414754
-
"Fast rates for support vector machines"
-
Los Alamos Nat. Lab., Tech. Rep. LA-UR 03-9117
-
J. C. Scovel and I. Steinwart, "Fast rates for support vector machines," Los Alamos Nat. Lab., Tech. Rep. LA-UR 03-9117, 2003.
-
(2003)
-
-
Scovel, J.C.1
Steinwart, I.2
-
18
-
-
33750600958
-
"Multi-kernel regularized classifiers"
-
submitted for publication
-
Q. Wu, Y. Ying, and D. X. Zhou, "Multi-kernel regularized classifiers," J. Complexity, submitted for publication.
-
J. Complexity
-
-
Wu, Q.1
Ying, Y.2
Zhou, D.X.3
-
19
-
-
33645705850
-
"Approximation with polynomial kernels and SVM classifiers"
-
submitted for publication
-
D. X. Zhou and K. Jetter, "Approximation with polynomial kernels and SVM classifiers," Adv. Comput. Math., 2004, submitted for publication.
-
(2004)
Adv. Comput. Math.
-
-
Zhou, D.X.1
Jetter, K.2
-
20
-
-
27744464536
-
"Near-minimax optimal classification with dyadic classification trees"
-
S. Thrun, L. Saul, and B. Schölkopf, Eds. Cambridge, MA: MIT Press
-
C. Scott and R. Nowak, "Near-minimax optimal classification with dyadic classification trees," in Advances in Neural Information Processing Systems, S. Thrun, L. Saul, and B. Schölkopf, Eds. Cambridge, MA: MIT Press, 2004, vol. 16.
-
(2004)
Advances in Neural Information Processing Systems
, vol.16
-
-
Scott, C.1
Nowak, R.2
-
21
-
-
0002431740
-
"Automatic construction of decision trees from data: A multi-disciplinary survey"
-
S. Murthy, "Automatic construction of decision trees from data: A multi-disciplinary survey," Data Mining and Knowledge Discovery, vol. 2, no. 4, pp. 345-389, 1998.
-
(1998)
Data Mining and Knowledge Discovery
, vol.2
, Issue.4
, pp. 345-389
-
-
Murthy, S.1
-
22
-
-
0003802343
-
-
Belmont, CA: Wadsworth
-
L. Breiman, J. Friedman, R. Olshen, and C. Stone, Classification and Regression Trees. Belmont, CA: Wadsworth, 1984.
-
(1984)
Classification and Regression Trees
-
-
Breiman, L.1
Friedman, J.2
Olshen, R.3
Stone, C.4
-
24
-
-
0033075132
-
"On the boosting ability of top-down decision tree learning algorithms"
-
M. Kearns and Y. Mansour, "On the boosting ability of top-down decision tree learning algorithms," J. Comput. Syst. Sci., vol. 58, no. 1, pp. 109-128, 1999.
-
(1999)
J. Comput. Syst. Sci.
, vol.58
, Issue.1
, pp. 109-128
-
-
Kearns, M.1
Mansour, Y.2
-
26
-
-
0000595803
-
"Asymptotically efficient solutions to the classification problem"
-
L. Gordon and R. Olshen, "Asymptotically efficient solutions to the classification problem," Ann. Statist., vol. 6, no. 3, pp. 515-533, 1978.
-
(1978)
Ann. Statist.
, vol.6
, Issue.3
, pp. 515-533
-
-
Gordon, L.1
Olshen, R.2
-
27
-
-
0031145187
-
"A comparitive analysis of methods for pruning decision trees"
-
May
-
F. Esposito, D. Malerba, and G. Semeraro, "A comparitive analysis of methods for pruning decision trees," IEEE Trans. Pattern Anal. Mach. Intell., vol. 19, no. 5, pp. 476-491, May 1997.
-
(1997)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.19
, Issue.5
, pp. 476-491
-
-
Esposito, F.1
Malerba, D.2
Semeraro, G.3
-
28
-
-
0342313951
-
"Pessimistic decision tree pruning"
-
D. H. Fisher, Ed. Nashville, TN: Morgan Kaufmann
-
Y. Mansour, "Pessimistic decision tree pruning," in Proc. 14th Int. Conf. Machine Learning, D. H. Fisher, Ed. Nashville, TN: Morgan Kaufmann, 1997, pp. 195-201.
-
(1997)
Proc. 14th Int. Conf. Machine Learning
, pp. 195-201
-
-
Mansour, Y.1
-
29
-
-
0003269205
-
"A fast, bottom-up decision tree pruning algorithm with near-optimal generalization"
-
J. W. Shavlik, Ed.. Madison, WI
-
M. Kearns and Y. Mansour, "A fast, bottom-up decision tree pruning algorithm with near-optimal generalization," in Proc. 15th Int. Conf. Machine Learning, J. W. Shavlik, Ed.. Madison, WI, 1998, pp. 269-277.
-
(1998)
Proc. 15th Int. Conf. Machine Learning
, pp. 269-277
-
-
Kearns, M.1
Mansour, Y.2
-
30
-
-
9444269346
-
"Oracle bounds and exact algorithm for dyadic classification trees"
-
J. Shawe-Taylor and Y. Singer, Eds. Heidelberg, Germany Springer-Verlag
-
G. Blanchard, C. Schafer, and Y. Rozenholc, "Oracle bounds and exact algorithm for dyadic classification trees," in Learning Theory: 17th Annu. Conf. Learning Theory, COLT 2004, J. Shawe-Taylor and Y. Singer, Eds. Heidelberg, Germany: Springer-Verlag, 2004, pp. 378-392.
-
(2004)
Learning Theory: 17th Annu. Conf. Learning Theory, COLT 2004
, pp. 378-392
-
-
Blanchard, G.1
Schafer, C.2
Rozenholc, Y.3
-
31
-
-
14344250824
-
"Generalization bounds for decision trees"
-
N. Cesa-Bianchi and S. Goldman, Eds., Palo Alto, CA
-
Y. Mansour and D. McAllester, "Generalization bounds for decision trees," in Proc. 13th Annu. Conf. Computational Learning Theory, N. Cesa-Bianchi and S. Goldman, Eds., Palo Alto, CA, 2000, pp. 69-74.
-
(2000)
Proc. 13th Annu. Conf. Computational Learning Theory
, pp. 69-74
-
-
Mansour, Y.1
McAllester, D.2
-
32
-
-
0036672131
-
"Analysis of a complexity based pruning scheme for classification trees"
-
Aug
-
A. Nobel, "Analysis of a complexity based pruning scheme for classification trees," IEEE Trans. Inf. Theory, vol. 48, no. 8, pp. 2362-2368, Aug. 2002.
-
(2002)
IEEE Trans. Inf. Theory
, vol.48
, Issue.8
, pp. 2362-2368
-
-
Nobel, A.1
-
33
-
-
8644279479
-
"What Should be Minimized in a Decision Tree: A Re-Examination"
-
Univ. Massachusetts at Amherst, Tech. Rep. TR 95-20
-
N. Berkman and T. Sandholm, "What Should be Minimized in a Decision Tree: A Re-Examination," Univ. Massachusetts at Amherst, Tech. Rep. TR 95-20, 1995.
-
(1995)
-
-
Berkman, N.1
Sandholm, T.2
-
34
-
-
0041494283
-
"Generalization in decision trees and DNF: Does size matter?"
-
Cambridge, MA: MIT Press
-
M. Golea, P. Bartlett, W. S. Lee, and L. Mason, "Generalization in decision trees and DNF: Does size matter?," in Advances in Neural Information Processing Systems. Cambridge, MA: MIT Press, 1998, vol. 10.
-
(1998)
Advances in Neural Information Processing Systems
, vol.10
-
-
Golea, M.1
Bartlett, P.2
Lee, W.S.3
Mason, L.4
-
35
-
-
33645722951
-
"Optimal dyadic decision trees"
-
Tech. Rep., Available [Online] at preprint
-
G. Blanchard, C. Schäfer, Y. Rozenholc, and K.-R. Müller, "Optimal dyadic decision trees," Tech. Rep., 2005. Available [Online] at http://www.math.u-psud.fr/~blanchard/; preprint.
-
(2005)
-
-
Blanchard, G.1
Schäfer, C.2
Rozenholc, Y.3
Müller, K.-R.4
-
36
-
-
0031508912
-
"CART and best-ortho-basis selection: A connection"
-
D. Donoho, "CART and best-ortho-basis selection: A connection," Ann. Statist., vol. 25, pp. 1870-1911, 1997.
-
(1997)
Ann. Statist.
, vol.25
, pp. 1870-1911
-
-
Donoho, D.1
-
37
-
-
0041958932
-
"Ideal adaptation via wavelet shrinkage"
-
D. Donoho and I. Johnstone, "Ideal adaptation via wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
-
(1994)
Biometrika
, vol.81
, pp. 425-455
-
-
Donoho, D.1
Johnstone, I.2
-
38
-
-
84950459514
-
"Adapting to unknown smoothness via wavelet shrinkage"
-
D. Donoho and I. Johnstone, "Adapting to unknown smoothness via wavelet shrinkage," J. Amer. Statist. Assoc., vol. 90, pp. 1200-1224, 1995.
-
(1995)
J. Amer. Statist. Assoc.
, vol.90
, pp. 1200-1224
-
-
Donoho, D.1
Johnstone, I.2
-
39
-
-
0000742672
-
"Wavelet shrinkage: Asymptopia?"
-
D. L. Donoho, I. M. Johnstone, G. Kerkyacharian, and D. Picard, "Wavelet shrinkage: Asymptopia?," J. Roy. Statist. Soc. B, vol. 57, no. 432, pp. 301-369, 1995.
-
(1995)
J. Roy. Statist. Soc. B
, vol.57
, Issue.432
, pp. 301-369
-
-
Donoho, D.L.1
Johnstone, I.M.2
Kerkyacharian, G.3
Picard, D.4
-
40
-
-
3042744469
-
"Multiscale likelihood analysis and complexity penalized estimation"
-
E. Kolaczyk and R. Nowak, "Multiscale likelihood analysis and complexity penalized estimation," Ann. Statist., vol. 32, no. 2, pp. 500-527, 2004.
-
(2004)
Ann. Statist.
, vol.32
, Issue.2
, pp. 500-527
-
-
Kolaczyk, E.1
Nowak, R.2
-
41
-
-
15844428551
-
"Multiscale generalized linear models for nonparametric function estimation"
-
E. Kolaczyk and R. Nowak, "Multiscale generalized linear models for nonparametric function estimation," Biometrika, vol. 92, no. 1, pp. 119-133, 2005.
-
(2005)
Biometrika
, vol.92
, Issue.1
, pp. 119-133
-
-
Kolaczyk, E.1
Nowak, R.2
-
42
-
-
0346876961
-
"Wavees and the theory of nonparametric function estimation"
-
I. Johnstone, "Wavees and the theory of nonparametric function estimation," Phil. Trans. Roy. Soc. Lond. A., vol. 357, pp. 2475-2494, 1999.
-
(1999)
Phil. Trans. Roy. Soc. Lond. A.
, vol.357
, pp. 2475-2494
-
-
Johnstone, I.1
-
46
-
-
0036643049
-
"Model selection and error estimation"
-
P. Bartlett, S. Boucheron, and G. Lugosi, "Model selection and error estimation," Machine Learning, vol. 48, pp. 85-113, 2002.
-
(2002)
Machine Learning
, vol.48
, pp. 85-113
-
-
Bartlett, P.1
Boucheron, S.2
Lugosi, G.3
-
48
-
-
0000765066
-
"Metric entropy of some classes of sets with differentiable boundaries"
-
R. Dudley, "Metric entropy of some classes of sets with differentiable boundaries," J. Approx. Theory, vol. 10, pp. 227-236, 1974.
-
(1974)
J. Approx. Theory
, vol.10
, pp. 227-236
-
-
Dudley, R.1
-
50
-
-
33645704114
-
-
private communication, Aug
-
G. Blanchard, private communication, Aug. 2004.
-
(2004)
-
-
Blanchard, G.1
-
51
-
-
0034548686
-
"Enlarging the margins in perceptron decision trees"
-
K. Bennett, N. Cristianini, J. Shawe-Taylor, and D. Wu, "Enlarging the margins in perceptron decision trees," Machine Learning, vol. 41, pp. 295-313, 2000.
-
(2000)
Machine Learning
, vol.41
, pp. 295-313
-
-
Bennett, K.1
Cristianini, N.2
Shawe-Taylor, J.3
Wu, D.4
-
53
-
-
0035198053
-
"Curvelets and curvilinear integrals"
-
E. Candes and D. Donoho, "Curvelets and curvilinear integrals," J. Approx. Theory, vol. 113, pp. 59-90, 2000.
-
(2000)
J. Approx. Theory
, vol.113
, pp. 59-90
-
-
Candes, E.1
Donoho, D.2
-
54
-
-
0025383763
-
"A guided tour of chernoff bounds"
-
T. Hagerup and C. Rüb, "A guided tour of chernoff bounds," Inf. Processing Lett., vol. 33, no. 6, pp. 305-308, 1990.
-
(1990)
Inf. Processing Lett.
, vol.33
, Issue.6
, pp. 305-308
-
-
Hagerup, T.1
Rüb, C.2
-
55
-
-
0000182415
-
"A measure of asymptotic efficiency of tests of a hypothesis based on the sum of observations"
-
H. Chernoff, "A measure of asymptotic efficiency of tests of a hypothesis based on the sum of observations," Ann. Math. Statist., vol. 23, pp. 493-507, 1952.
-
(1952)
Ann. Math. Statist.
, vol.23
, pp. 493-507
-
-
Chernoff, H.1
-
56
-
-
51849177724
-
"Some inequalities relating to the partial sum of binomial probabilites"
-
M. Okamoto, "Some inequalities relating to the partial sum of binomial probabilites," Anna. Inst. Statist. Math., vol. 10, pp. 29-35, 1958.
-
(1958)
Anna. Inst. Statist. Math.
, vol.10
, pp. 29-35
-
-
Okamoto, M.1
-
57
-
-
17644388356
-
"Assouad, Fano, and Le Cam"
-
D. Pollard, E. Torgersen, and G. Yang, Eds. Berlin, Germany Springer-Verlag
-
B. Yu, "Assouad, Fano, and Le Cam," in Festschrift for Lucien Le Cam, D. Pollard, E. Torgersen, and G. Yang, Eds. Berlin, Germany: Springer-Verlag, 1997, pp. 423-435.
-
(1997)
Festschrift for Lucien Le Cam
, pp. 423-435
-
-
Yu, B.1
-
58
-
-
33644919726
-
"Lower bounds for function estimation"
-
D. Pollard, E. Torgersen, and G. Yang, Eds. Berlin, Germany Springer-Verlag
-
C. Huber, "Lower bounds for function estimation," in Festschrift for Lucien Le Cam, D. Pollard, E. Torgersen, and G. Yang, Eds. Berlin, Germany: Springer-Verlag, 1997, pp. 245-258.
-
(1997)
Festschrift for Lucien Le Cam
, pp. 245-258
-
-
Huber, C.1
|