-
1
-
-
84968476146
-
The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
-
MR0069229
-
ANDERSON, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proc. Amer. Math. Soc. 6 170-176. MR0069229
-
(1955)
Proc. Amer. Math. Soc.
, vol.6
, pp. 170-176
-
-
Anderson, T.W.1
-
2
-
-
84883334291
-
Unbiased risk estimates for singular value thresholding and spectral estimators
-
MR3105401
-
CANDÈS, E. J., SING-LONG, C. A. and TRZASKO, J. D. (2013). Unbiased risk estimates for singular value thresholding and spectral estimators. IEEE Trans. Signal Process. 61 4643-4657. MR3105401
-
(2013)
IEEE Trans. Signal Process.
, vol.61
, pp. 4643-4657
-
-
Candès, E.J.1
Sing-Long, C.A.2
Trzasko, J.D.3
-
3
-
-
0005464932
-
Monotonicity of the power functions of some tests of the multivariate linear hypothesis
-
MR0158474
-
DAS GUPTA, S., ANDERSON, T. W. and MUDHOLKAR, G. S. (1964). Monotonicity of the power functions of some tests of the multivariate linear hypothesis. Ann. Math. Statist. 35 200-205. MR0158474
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 200-205
-
-
Das Gupta, S.1
Anderson, T.W.2
Mudholkar, G.S.3
-
6
-
-
84878157685
-
The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising
-
MR3082268
-
DONOHO, D. L., GAVISH, M. and MONTANARI, A. (2013). The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising. Proc. Natl. Acad. Sci. USA 110 8405-8410. MR3082268
-
(2013)
Proc. Natl. Acad. Sci. USA
, vol.110
, pp. 8405-8410
-
-
Donoho, D.L.1
Gavish, M.2
Montanari, A.3
-
7
-
-
84877914996
-
Accurate Prediction of Phase Transitions in Compressed Sensing Via A Connection to Minimax Denoising
-
MR3061255
-
DONOHO, D. L., JOHNSTONE, I. and MONTANARI, A. (2013). Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. IEEE Trans. Inform. Theory 59 3396-3433. MR3061255
-
(2013)
IEEE Trans. Inform. Theory
, vol.59
, pp. 3396-3433
-
-
Donoho, D.L.1
Johnstone, I.2
Montanari, A.3
-
9
-
-
0002712203
-
Maximum entropy and the nearly black object
-
MR1157714
-
DONOHO, D. L., JOHNSTONE, I. M., HOCH, J. C. and STERN, A. S. (1992). Maximum entropy and the nearly black object. J. R. Stat. Soc. Ser. B Stat. Methodol. 54 41-81. MR1157714
-
(1992)
J. R. Stat. Soc. Ser. B Stat. Methodol.
, vol.54
, pp. 41-81
-
-
Donoho, D.L.1
Johnstone, I.M.2
Hoch, J.C.3
Stern, A.S.4
-
10
-
-
84904607493
-
The optimal hard threshold for singular values is 4/V3
-
GAVISH, M. and DONOHO, D. L. (2014). The optimal hard threshold for singular values is 4/V3. IEEE Trans. Inform. Theory 60 5040-5053.
-
(2014)
IEEE Trans. Inform. Theory
, vol.60
, pp. 5040-5053
-
-
Gavish, M.1
Donoho, D.L.2
-
12
-
-
82655171609
-
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
-
MR2906869
-
KOLTCHINSKII, V., LOUNICI, K. and TSYBAKOV, A. B. (2011). Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Ann. Statist. 39 2302-2329. MR2906869
-
(2011)
Ann. Statist.
, vol.39
, pp. 2302-2329
-
-
Koltchinskii, V.1
Lounici, K.2
Tsybakov, A.B.3
-
13
-
-
0039119760
-
The convex analysis of unitarily invariant matrix functions
-
MR1363368
-
LEWIS, A. S. (1995). The convex analysis of unitarily invariant matrix functions. J. Convex Anal. 2 173-183. MR1363368
-
(1995)
J. Convex Anal.
, vol.2
, pp. 173-183
-
-
Lewis, A.S.1
-
14
-
-
22044456250
-
Nonsmooth analysis of singular values. i
-
MR2162512
-
LEWIS, A. S. and SENDOV, H. S. (2005). Nonsmooth analysis of singular values. I. Theory. Set-Valued Var. Anal. 13 213-241. MR2162512
-
(2005)
Theory. Set-Valued Var. Anal.
, vol.13
, pp. 213-241
-
-
Lewis, A.S.1
Sendov, H.S.2
-
15
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
MARCENKO, V. and PASTUR, L. (1967). Distribution of eigenvalues for some sets of random matrices. Mathematics USSR Sbornik 1 457-483.
-
(1967)
Mathematics USSR Sbornik
, vol.1
, pp. 457-483
-
-
Marcenko, V.1
Pastur, L.2
-
17
-
-
84875754742
-
On a relation between the minimax risk and the phase transitions of compressed recovery
-
IEEE, Piscataway, NJ. Available at
-
OYMAK, S. and HASSIBI, B. (2012). On a relation between the minimax risk and the phase transitions of compressed recovery. In 2012 50th Annual Allerton Conference on Communication, Control, and Computing 1018-1025. IEEE, Piscataway, NJ. Available at http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6483330.
-
(2012)
2012 50th Annual Allerton Conference on Communication, Control, and Computing
, pp. 1018-1025
-
-
Oymak, S.1
Hassibi, B.2
-
18
-
-
78549288866
-
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
-
MR2680543
-
RECHT, B., FAZEL, M. and PARRILO, P. A. (2010). Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. SIAM Rev. 52 471-501. MR2680543
-
(2010)
SIAM Rev.
, vol.52
, pp. 471-501
-
-
Recht, B.1
Fazel, M.2
Parrilo, P.A.3
-
20
-
-
79952759680
-
Null space conditions and thresholds for rank minimization
-
MR2776714
-
RECHT, B., XU, W. and HASSIBI, B. (2011). Null space conditions and thresholds for rank minimization. Math. Program. 127 175-202. MR2776714
-
(2011)
Math. Program.
, vol.127
, pp. 175-202
-
-
Recht, B.1
Xu, W.2
Hassibi, B.3
-
21
-
-
79952902758
-
Estimation of high-dimensional low-rank matrices
-
MR2816342
-
ROHDE, A. and TSYBAKOV, A. B. (2011). Estimation of high-dimensional low-rank matrices. Ann. Statist. 39 887-930. MR2816342
-
(2011)
Ann. Statist.
, vol.39
, pp. 887-930
-
-
Rohde, A.1
Tsybakov, A.B.2
-
23
-
-
0000169918
-
Estimation of the mean of a multivariate normal distribution
-
MR0630098
-
STEIN, C. M. (1981). Estimation of the mean of a multivariate normal distribution. Ann. Statist. 9 1135-1151. MR0630098
-
(1981)
Ann. Statist.
, vol.9
, pp. 1135-1151
-
-
Stein, C.M.1
-
25
-
-
65649136568
-
On the marginal distribution of the eigenvalues of Wishart matrices
-
ZANELLA, A., CHIANI, M. and WIN, M. Z. (2009). On the marginal distribution of the eigenvalues of Wishart matrices. IEEE Transactions on Communications 57 1050-1060.
-
(2009)
IEEE Transactions on Communications
, vol.57
, pp. 1050-1060
-
-
Zanella, A.1
Chiani, M.2
Win, M.Z.3
|