-
1
-
-
77955686195
-
Functional Properties of MMSE
-
Y. Wu and S. Verdú, "Functional Properties of MMSE," in Proceedings of IEEE International Symposium on Information Theory, Austin, TX, June 2010.
-
Proceedings of IEEE International Symposium on Information Theory, Austin, TX, June 2010
-
-
Wu, Y.1
Verdú, S.2
-
2
-
-
0002358285
-
Tauberian theorems
-
N. Wiener, "Tauberian theorems," Annals of mathematics, vol. 33, no. 1, pp. 1-100, 1932.
-
(1932)
Annals of Mathematics
, vol.33
, Issue.1
, pp. 1-100
-
-
Wiener, N.1
-
3
-
-
0027599793
-
Universal approximation bounds for superpositions of a sigmoidal function
-
A. R. Barron, "Universal approximation bounds for superpositions of a sigmoidal function," IEEE Transactions on Information theory, vol. 39, no. 3, pp. 930-945, 1993.
-
(1993)
IEEE Transactions on Information Theory
, vol.39
, Issue.3
, pp. 930-945
-
-
Barron, A.R.1
-
4
-
-
0030643278
-
Neural networks and approximation by superposition of Gaussians
-
P. Ferreira, "Neural networks and approximation by superposition of Gaussians," in IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 4, 1997, pp. 3197-3200.
-
(1997)
IEEE International Conference on Acoustics, Speech, and Signal Processing
, vol.4
, pp. 3197-3200
-
-
Ferreira, P.1
-
5
-
-
0039863907
-
On approximate approximations using Gaussian kernels
-
V. Maz'ya and G. Schmidt, "On approximate approximations using Gaussian kernels," IMA Journal of Numerical Analysis, vol. 16, no. 1, pp. 13-29, 1996.
-
(1996)
IMA Journal of Numerical Analysis
, vol.16
, Issue.1
, pp. 13-29
-
-
Maz'ya, V.1
Schmidt, G.2
-
6
-
-
0035470893
-
Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities
-
S. Ghosal and A. van der Vaart, "Entropies and rates of convergence for maximum likelihood and Bayes estimation for mixtures of normal densities," The Annals of Statistics, vol. 29, no. 5, pp. 1233-1263, 2001.
-
(2001)
The Annals of Statistics
, vol.29
, Issue.5
, pp. 1233-1263
-
-
Ghosal, S.1
Van Der Vaart, A.2
-
7
-
-
0034237946
-
Rates of convergence for the Gaussian mixture sieve
-
C. R. Genovese and L. Wasserman, "Rates of convergence for the Gaussian mixture sieve," Annals of Statistics, vol. 28, no. 4, pp. 1105-1127, 2000.
-
(2000)
Annals of Statistics
, vol.28
, Issue.4
, pp. 1105-1127
-
-
Genovese, C.R.1
Wasserman, L.2
-
10
-
-
0004073954
-
-
4th ed. Providence, RI: American Mathematical Society
-
G. Szegö, Orthogonal polynomials, 4th ed. Providence, RI: American Mathematical Society, 1975.
-
(1975)
Orthogonal Polynomials
-
-
Szegö, G.1
-
11
-
-
0348222404
-
The Christoffel function for the Hermite weight is bellshaped
-
G. Nikolov, "The Christoffel function for the Hermite weight is bellshaped," Journal of Approximation Theory, vol. 125, no. 2, pp. 145-150, 2003.
-
(2003)
Journal of Approximation Theory
, vol.125
, Issue.2
, pp. 145-150
-
-
Nikolov, G.1
-
12
-
-
0004245694
-
-
New York, NY: Wiley-Interscience
-
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York, NY: Wiley-Interscience, 1984.
-
(1984)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
13
-
-
12144250294
-
On the dimension and entropy of probability distributions
-
March
-
A. Rényi, "On the dimension and entropy of probability distributions," Acta Mathematica Hungarica, vol. 10, no. 1-2, March 1959.
-
(1959)
Acta Mathematica Hungarica
, vol.10
, Issue.1-2
-
-
Rényi, A.1
-
14
-
-
17644366813
-
Mutual Information and Minimum Mean-Square Error in Gaussian Channels
-
April
-
D. Guo, S. Shamai, and S. Verdú, "Mutual Information and Minimum Mean-Square Error in Gaussian Channels," IEEE Transactions on Information Theory, vol. 51, no. 4, pp. 1261-1283, April 2005.
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.4
, pp. 1261-1283
-
-
Guo, D.1
Shamai, S.2
Verdú, S.3
-
16
-
-
0019343223
-
Channel coding with multilevel/phase signals
-
G. Ungerboeck, "Channel coding with multilevel/phase signals," IEEE Transactions on Information Theory, vol. 28, no. 1, pp. 55-67, 1982.
-
(1982)
IEEE Transactions on Information Theory
, vol.28
, Issue.1
, pp. 55-67
-
-
Ungerboeck, G.1
-
17
-
-
0025517125
-
On the capacity of the Gaussian channel with a finite number of input levels
-
L. H. Ozarow and A. D. Wyner, "On the capacity of the Gaussian channel with a finite number of input levels," IEEE Transactions on Information Theory, vol. 36, no. 6, pp. 1426-1428, 1990.
-
(1990)
IEEE Transactions on Information Theory
, vol.36
, Issue.6
, pp. 1426-1428
-
-
Ozarow, L.H.1
Wyner, A.D.2
-
18
-
-
77955701188
-
Estimation in Gaussian noise: Properties of the minimum mean-square error
-
submitted to
-
D. Guo, Y. Wu, S. Shamai, and S. Verdú, "Estimation in Gaussian noise: Properties of the minimum mean-square error," submitted to IEEE Transactions on Information Theory, 2010.
-
(2010)
IEEE Transactions on Information Theory
-
-
Guo, D.1
Wu, Y.2
Shamai, S.3
Verdú, S.4
-
19
-
-
84856043672
-
A mathematical theory of communication
-
C. E. Shannon, "A mathematical theory of communication," Bell System Technical Journal, vol. 27, pp. 379-423, 623-656, 1948.
-
(1948)
Bell System Technical Journal
, vol.27
-
-
Shannon, C.E.1
-
20
-
-
0036896227
-
On choosing and bounding probability metrics
-
A. L. Gibbs and F. E. Su, "On choosing and bounding probability metrics," International Statistical Review, vol. 70, no. 3, pp. 419-435, 2002.
-
(2002)
International Statistical Review
, vol.70
, Issue.3
, pp. 419-435
-
-
Gibbs, A.L.1
Su, F.E.2
-
22
-
-
0010808569
-
On the convergence of sequences of moment generating functions
-
W. Kozakiewicz, "On the convergence of sequences of moment generating functions," The Annals of Mathematical Statistics, pp. 61-69, 1947.
-
(1947)
The Annals of Mathematical Statistics
, pp. 61-69
-
-
Kozakiewicz, W.1
-
23
-
-
0027659810
-
Approaching capacity by equiprobable signaling on the Gaussian channel
-
F.-W. Sun and H. C. A. van Tilborg, "Approaching capacity by equiprobable signaling on the Gaussian channel," IEEE Transactions on Information Theory, vol. 39, no. 5, pp. 1714-1716, 1993.
-
(1993)
IEEE Transactions on Information Theory
, vol.39
, Issue.5
, pp. 1714-1716
-
-
Sun, F.-W.1
Van Tilborg, H.C.A.2
-
24
-
-
0032184595
-
Modulation and coding for linear Gaussian channels
-
G. D. Forney Jr. and G. Ungerboeck, "Modulation and coding for linear Gaussian channels," IEEE Transactions on Information Theory, vol. 44, no. 6, pp. 2384-2415, 1998.
-
(1998)
IEEE Transactions on Information Theory
, vol.44
, Issue.6
, pp. 2384-2415
-
-
Forney Jr., G.D.1
Ungerboeck, G.2
-
25
-
-
85011494605
-
Constructing cubature formulae: The science behind the art
-
R. Cools, "Constructing cubature formulae: the science behind the art," Acta Numerica, vol. 6, pp. 1-54, 1997.
-
(1997)
Acta Numerica
, vol.6
, pp. 1-54
-
-
Cools, R.1
-
26
-
-
0036894085
-
Advances in multidimensional integration
-
-, "Advances in multidimensional integration," Journal of Computational and Applied Mathematics, vol. 149, no. 1, pp. 1-12, 2002.
-
(2002)
Journal of Computational and Applied Mathematics
, vol.149
, Issue.1
, pp. 1-12
-
-
Cools, R.1
-
27
-
-
0001184653
-
The information capacity of amplitude and variance-constrained scalar gaussian channels
-
J. G. Smith, "The information capacity of amplitude and variance-constrained scalar gaussian channels," Information and Control, vol. 18, pp. 203-219, 1971.
-
(1971)
Information and Control
, vol.18
, pp. 203-219
-
-
Smith, J.G.1
-
28
-
-
23744504171
-
Characterization and computation of optimal distributions for channel coding
-
J. Huang and S. P. Meyn, "Characterization and computation of optimal distributions for channel coding," IEEE Transactions on Information Theory, vol. 51, no. 7, pp. 2336-2351, 2005.
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.7
, pp. 2336-2351
-
-
Huang, J.1
Meyn, S.P.2
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