-
1
-
-
79551492613
-
Sharp bounds on the rate of convergence of the empirical covariance matrix
-
MR2769907
-
Adamczak, R., Litvak, A. E., Pajor, A., and Tomczak-Jaegermann, N., Sharp bounds on the rate of convergence of the empirical covariance matrix. Comptes Rendus Mathematique, 349(3): 195-200, 2011. MR2769907.
-
(2011)
Comptes Rendus Mathematique
, vol.349
, Issue.3
, pp. 195-200
-
-
Adamczak, R.1
Litvak, A.E.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
3
-
-
0036495139
-
Strong converse for identification via quantum channels
-
MR1889969
-
Ahlswede, R. and Winter, A., Strong converse for identification via quantum channels. Information Theory, IEEE Transactions on, 48(3): 569-579, 2002. MR1889969.
-
(2002)
Information Theory, IEEE Transactions on
, vol.48
, Issue.3
, pp. 569-579
-
-
Ahlswede, R.1
Winter, A.2
-
4
-
-
26444592981
-
Local rademacher complexities
-
MR2166554
-
Bartlett, P., Bousquet, O., and Mendelson, S., Local rademacher complexities. The Annals of Statistics, 33(4): 1497-1537, 2005. MR2166554.
-
(2005)
The Annals of Statistics
, vol.33
, Issue.4
, pp. 1497-1537
-
-
Bartlett, P.1
Bousquet, O.2
Mendelson, S.3
-
5
-
-
84867330878
-
ℓ1-regularized linear regression: Persistence and oracle inequalities
-
MR2981422
-
Bartlett, P. L., Mendelson, S., and Neeman, J., ℓ1-regularized linear regression: persistence and oracle inequalities. Probability Theory and Related Fields, 154(1-2): 193-224, 2012. MR2981422.
-
(2012)
Probability Theory and Related Fields
, vol.154
, Issue.1-2
, pp. 193-224
-
-
Bartlett, P.L.1
Mendelson, S.2
Neeman, J.3
-
6
-
-
68649086910
-
Simultaneous analysis of Lasso and Dantzig selector
-
MR2533469
-
Bickel, P., Ritov, Y., and Tsybakov, A., Simultaneous analysis of Lasso and Dantzig selector. Annals of Statistics, 37: 1705-1732, 2009. MR2533469.
-
(2009)
Annals of Statistics
, vol.37
, pp. 1705-1732
-
-
Bickel, P.1
Ritov, Y.2
Tsybakov, A.3
-
7
-
-
0000610863
-
Piecewise-polynomial approximations of functions of the classes Wα p
-
MR0217487
-
Birman, M. Š. and Solomjak, M. Z., Piecewise-polynomial approximations of functions of the classes Wα p. Mathematics of the USSR-Sbornik, 2: 295-317, 1967. MR0217487.
-
(1967)
Mathematics of the USSR-Sbornik
, vol.2
, pp. 295-317
-
-
Birman, M.S.1
Solomjak, M.Z.2
-
8
-
-
84902452590
-
-
ArXiv: 1310. 1533. MR3072790
-
Bühlmann, P., Peters, J., and Ernest, J., CAM: Causal Additive Models, high-dimensional order search and penalized regression, 2013. ArXiv: 1310. 1533. MR3072790.
-
(2013)
CAM: Causal Additive Models, high-dimensional order search and penalized regression
-
-
Bühlmann, P.1
Peters, J.2
Ernest, J.3
-
9
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
MR1639094
-
Chen, S. S., Donoho, D. L., and Saunders, M. A., Atomic decomposition by basis pursuit. SIAM Journal on Scientific Computing, 20(1): 33-61, 1998. MR1639094.
-
(1998)
SIAM Journal on Scientific Computing
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
10
-
-
0000660999
-
The sizes of compact subsets of hilbert space and continuity of Gaussian processes
-
MR0220340
-
Dudley, R. M., The sizes of compact subsets of hilbert space and continuity of Gaussian processes. Journal of Functional Analysis, 1(3): 290-330, 1967. MR0220340.
-
(1967)
Journal of Functional Analysis
, vol.1
, Issue.3
, pp. 290-330
-
-
Dudley, R.M.1
-
11
-
-
33746227538
-
Concentration inequalities and asymptotic results for ratio type empirical processes
-
MR2243881
-
Giné, E. and Koltchinskii, V., Concentration inequalities and asymptotic results for ratio type empirical processes. The Annals of Probability, 34(3): 1143-1216, 2006. MR2243881.
-
(2006)
The Annals of Probability
, vol.34
, Issue.3
, pp. 1143-1216
-
-
Giné, E.1
Koltchinskii, V.2
-
12
-
-
34247578706
-
Subspaces and orthogonal decompositions generated by bounded orthogonal systems
-
MR2321621
-
Guédon, O., Mendelson, S., Pajor, A., and Tomczak-Jaegermann, N., Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Positivity, 11(2): 269-283, 2007. MR2321621.
-
(2007)
Positivity
, vol.11
, Issue.2
, pp. 269-283
-
-
Guédon, O.1
Mendelson, S.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
13
-
-
84984697284
-
-
In IMS Collections From Probabil-ity to Statistics and Back: High-Dimensional Models and Processes, Institute of Mathematical Statistics, Beachwood, Ohio, 2013. Banerjee, M., Bunea, F., Huang, J., Koltchinskii, V., and Maathuis, M.H., eds
-
Koltchinskii, V., A remark on low rank matrix recovery and noncommutative Bernstein type inequalities. In IMS Collections From Probabil-ity to Statistics and Back: High-Dimensional Models and Processes, volume 9, pages 213-226. Institute of Mathematical Statistics, Beachwood, Ohio, 2013. Banerjee, M., Bunea, F., Huang, J., Koltchinskii, V., and Maathuis, M. H., eds.
-
A remark on low rank matrix recovery and noncommutative Bernstein type inequalities
, vol.9
, pp. 213-226
-
-
Koltchinskii, V.1
-
16
-
-
84872078104
-
High-dimensional regression with noisy and missing data: Provable guarantees with non-convexity
-
MR3015038
-
Loh, P.-L. and Wainwright, M. J., High-dimensional regression with noisy and missing data: Provable guarantees with non-convexity. Annals of Statistics, 40: 1637-1664, 2012. MR3015038.
-
(2012)
Annals of Statistics
, vol.40
, pp. 1637-1664
-
-
Loh, P.-L.1
Wainwright, M.J.2
-
17
-
-
0033234644
-
Adaptive model selection using empirical complexities
-
MR1765619
-
Lugosi, G. and Nobel, A., Adaptive model selection using empirical complexities. Annals of Statistics, 27: 1830-1864, 1999. MR1765619.
-
(1999)
Annals of Statistics
, vol.27
, pp. 1830-1864
-
-
Lugosi, G.1
Nobel, A.2
-
18
-
-
0034345597
-
About the constants in Talagrand's concentration inequalities for empirical processes
-
MR1782276
-
Massart, P., About the constants in Talagrand's concentration inequalities for empirical processes. Annals of Probability, 28: 863-884, 2000. MR1782276.
-
(2000)
Annals of Probability
, vol.28
, pp. 863-884
-
-
Massart, P.1
-
19
-
-
73949083829
-
High-dimensional additive modeling
-
MR2572443
-
Meier, L., Van de Geer, S., and Bühlmann, P., High-dimensional additive modeling. The Annals of Statistics, 37(6B): 3779-3821, 2009. MR2572443.
-
(2009)
The Annals of Statistics
, vol.37
, Issue.6 B
, pp. 3779-3821
-
-
Meier, L.1
Van de Geer, S.2
Bühlmann, P.3
-
21
-
-
34249036798
-
Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov-and Sobolev-type
-
MR2324525
-
Nickl, R. and Pötscher, B., Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov-and Sobolev-type. Journal of Theoretical Probability, 20(2): 177-199, 2007. MR2324525.
-
(2007)
Journal of Theoretical Probability
, vol.20
, Issue.2
, pp. 177-199
-
-
Nickl, R.1
Pötscher, B.2
-
22
-
-
84891913496
-
Confidence sets in sparse regression
-
MR3161450
-
Nickl, R. and van de Geer, S. A., Confidence sets in sparse regression. The Annals of Statistics, 41: 2852-2876, 2013. MR3161450.
-
(2013)
The Annals of Statistics
, vol.41
, pp. 2852-2876
-
-
Nickl, R.1
van de Geer, S.A.2
-
24
-
-
77956925453
-
Restricted eigenvalue properties for correlated Gaussian designs
-
MR2719855
-
Raskutti, G., Wainwright, M. J., and Yu, B., Restricted eigenvalue properties for correlated Gaussian designs. Journal of Machine Learning Research, 11: 2241-2259, 2010. MR2719855.
-
(2010)
Journal of Machine Learning Research
, vol.11
, pp. 2241-2259
-
-
Raskutti, G.1
Wainwright, M.J.2
Yu, B.3
-
25
-
-
52349092455
-
On sparse reconstruction from Fourier and Gaussian measurements
-
MR2417886
-
Rudelson, M. and Vershynin, R., On sparse reconstruction from Fourier and Gaussian measurements. Communications on Pure and Ap-plied Mathematics, 61(8): 1025-1045, 2008. MR2417886.
-
(2008)
Communications on Pure and Ap-plied Mathematics
, vol.61
, Issue.8
, pp. 1025-1045
-
-
Rudelson, M.1
Vershynin, R.2
-
26
-
-
84877881209
-
Reconstruction from anisotropic random measurements
-
MR3061256
-
Rudelson, M. and Zhou, S., Reconstruction from anisotropic random measurements. IEEE Transactions on Information Theory, 59: 3434-3447, 2013. MR3061256.
-
(2013)
IEEE Transactions on Information Theory
, vol.59
, pp. 3434-3447
-
-
Rudelson, M.1
Zhou, S.2
-
27
-
-
51249165477
-
Concentration of measure and isoperimetric inequalities in product spaces
-
MR1361756
-
Talagrand, M., Concentration of measure and isoperimetric inequalities in product spaces. Publications Mathématiques de l'IHES, 81: 73-205, 1995. MR1361756.
-
(1995)
Publications Mathématiques de l'IHES
, vol.81
, pp. 73-205
-
-
Talagrand, M.1
-
30
-
-
77955054299
-
On the conditions used to prove oracle results for the Lasso
-
MR2576316
-
van de Geer, S. and Bühlmann, P., On the conditions used to prove oracle results for the Lasso. Electronic Journal of Statistics, pages 1360-1392, 2009. MR2576316.
-
(2009)
Electronic Journal of Statistics
, pp. 1360-1392
-
-
van de Geer, S.1
Bühlmann, P.2
-
32
-
-
84879140981
-
ℓ0-penalized maximum likelihood for sparse directed acyclic graphs
-
MR3099113
-
van de Geer, S. A. and Bühlmann, P., ℓ0-penalized maximum likelihood for sparse directed acyclic graphs. The Annals of Statistics, 41: 536-567, 2013. MR3099113.
-
(2013)
The Annals of Statistics
, vol.41
, pp. 536-567
-
-
van de Geer, S.A.1
Bühlmann, P.2
-
34
-
-
84988001472
-
On asymptotically optimal confidence regions and tests for high-dimensional models
-
To appear
-
van de Geer, S. A., Bühlmann, P., Ritov, Y., and Dezeure, R., On asymptotically optimal confidence regions and tests for high-dimensional models. The Annals of Statistics, 2014. To appear.
-
(2014)
The Annals of Statistics
-
-
van de Geer, S.A.1
Bühlmann, P.2
Ritov, Y.3
Dezeure, R.4
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