-
1
-
-
0004841122
-
On the projected subgradient method for nonsmooth convex optimization in a Hilbert space
-
Alber, Y., A. Iusem, M. Solodov. 1998. On the projected subgradient method for nonsmooth convex optimization in a Hilbert space. Math. Programming 81 23-35.
-
(1998)
Math. Programming
, vol.81
, pp. 23-35
-
-
Alber, Y.1
Iusem, A.2
Solodov, M.3
-
4
-
-
38549124721
-
Nouvelles applications des mesures paramétrées.
-
Berliocchi, H., J.-M. Lasry. 1972. Nouvelles applications des mesures paramétrées. C. R. Acad. Sci. Paris 274 1623-1626.
-
(1972)
C. R. Acad. Sci. Paris
, vol.274
, pp. 1623-1626
-
-
Berliocchi, H.1
Lasry, J.-M.2
-
5
-
-
0034389611
-
Gradient convergence in gradient methods
-
Bertsekas, D. P., J. N. Tsitsiklis. 2000. Gradient convergence in gradient methods. SIAM J. Optim. 10(3) 627-642.
-
(2000)
SIAM J. Optim
, vol.10
, Issue.3
, pp. 627-642
-
-
Bertsekas, D.P.1
Tsitsiklis, J.N.2
-
6
-
-
0030544315
-
Laws of large numbers for Hilbert space-valued mixingales with applications
-
Chen, X., H. White. 1998. Laws of large numbers for Hilbert space-valued mixingales with applications. Econometric Theory 12 284-304.
-
(1998)
Econometric Theory
, vol.12
, pp. 284-304
-
-
Chen, X.1
White, H.2
-
7
-
-
0242332013
-
Asymptotic properties of some projection-based Robbins-Monro procedures in a Hilbert space
-
Chen, X., H. White. 2002. Asymptotic properties of some projection-based Robbins-Monro procedures in a Hilbert space. Stud. Nonlinear Dynam. Econom. 6 1-53.
-
(2002)
Stud. Nonlinear Dynam. Econom
, vol.6
, pp. 1-53
-
-
Chen, X.1
White, H.2
-
10
-
-
0025522739
-
Decomposition coordination algorithms for stochastic optimization
-
Cohen, G., J.-C. Culioli. 1990. Decomposition coordination algorithms for stochastic optimization. SIAM J. Control Optim. 28(6) 1372-1403.
-
(1990)
SIAM J. Control Optim
, vol.28
, Issue.6
, pp. 1372-1403
-
-
Cohen, G.1
Culioli, J.-C.2
-
11
-
-
0030242092
-
General results on the convergence of stochastic algorithms
-
Delyon, B. 1996. General results on the convergence of stochastic algorithms. IEEE Trans. Autom. Control 41(9) 1245-1255.
-
(1996)
IEEE Trans. Autom. Control
, vol.41
, Issue.9
, pp. 1245-1255
-
-
Delyon, B.1
-
12
-
-
84904773005
-
Two models for analyzing the dynamics of adaptation algorithms
-
Derevitskii, D., A. Fradkov. 1974. Two models for analyzing the dynamics of adaptation algorithms. Autom. Remote Control 35 59-67.
-
(1974)
Autom. Remote Control
, vol.35
, pp. 59-67
-
-
Derevitskii, D.1
Fradkov, A.2
-
14
-
-
34250521052
-
Methods of solution of nonlinear extremal problems
-
Ermoliev, Y. 1966. Methods of solution of nonlinear extremal problems. Cybernetics 2(4) 1-17.
-
(1966)
Cybernetics
, vol.2
, Issue.4
, pp. 1-17
-
-
Ermoliev, Y.1
-
15
-
-
0040314261
-
On the method of generalized stochastic gradients and quasi-Féjer sequences
-
Ermoliev, Y. 1969. On the method of generalized stochastic gradients and quasi-Féjer sequences. Cybernetics 5(2) 73-84.
-
(1969)
Cybernetics
, vol.5
, Issue.2
, pp. 73-84
-
-
Ermoliev, Y.1
-
17
-
-
33646990109
-
Minimizing noisy functionals in Hilbert spaces: An extension of the Kiefer-Wolfowitz procedure
-
Goldstein, L. 1988. Minimizing noisy functionals in Hilbert spaces: An extension of the Kiefer-Wolfowitz procedure. J. Theoret. Probab. 1 189-204.
-
(1988)
J. Theoret. Probab
, vol.1
, pp. 189-204
-
-
Goldstein, L.1
-
18
-
-
33846400147
-
Algorithmes de résolution d'équations et d'inéquations variationnelles.
-
in French
-
Hiriart-Urruty, J.-B. 1975. Algorithmes de résolution d'équations et d'inéquations variationnelles. Z. Wahrscheinlichkeitstheorie verwandte Gebiete 33 167-186 [in French].
-
(1975)
Z. Wahrscheinlichkeitstheorie verwandte Gebiete
, vol.33
, pp. 167-186
-
-
Hiriart-Urruty, J.-B.1
-
19
-
-
0030109229
-
An alternative proof for convergence of stochastic approximation algorithms
-
Horn, C., S. R. Kulkarni. 1996. An alternative proof for convergence of stochastic approximation algorithms. IEEE Trans. Autom. Control 41(3) 419-424.
-
(1996)
IEEE Trans. Autom. Control
, vol.41
, Issue.3
, pp. 419-424
-
-
Horn, C.1
Kulkarni, S.R.2
-
20
-
-
0001079593
-
Stochastic estimation of the maximum of a regression function
-
Kiefer, J., J. Wolfowitz. 1952. Stochastic estimation of the maximum of a regression function. Ann. Math. Statist. 23 462-466.
-
(1952)
Ann. Math. Statist
, vol.23
, pp. 462-466
-
-
Kiefer, J.1
Wolfowitz, J.2
-
21
-
-
0038026196
-
Stochastic approximation
-
Lai, T. L. 2003. Stochastic approximation. Ann. Statist. 31(2) 391-406.
-
(2003)
Ann. Statist
, vol.31
, Issue.2
, pp. 391-406
-
-
Lai, T.L.1
-
22
-
-
0003680586
-
-
De Gruyter, Berlin, Germany
-
Métivier, M. 1982. Semimartingales. De Gruyter, Berlin, Germany.
-
(1982)
Semimartingales
-
-
Métivier, M.1
-
24
-
-
0010720865
-
Pseudogradient adaptation and training algorithms
-
Polyak, B. T., Y. Z. Tsypkin. 1973. Pseudogradient adaptation and training algorithms. Automation Remote Control 12 83-94.
-
(1973)
Automation Remote Control
, vol.12
, pp. 83-94
-
-
Polyak, B.T.1
Tsypkin, Y.Z.2
-
25
-
-
0000618559
-
Robbins-Monro procedure in a Hilbert space and its application in the theory of learning processes. I
-
Révész, P. 1973. Robbins-Monro procedure in a Hilbert space and its application in the theory of learning processes. I. Studia Scientiarum Mathematicarum Hungarica 8 391-398.
-
(1973)
Studia Scientiarum Mathematicarum Hungarica
, vol.8
, pp. 391-398
-
-
Révész, P.1
-
27
-
-
0000016172
-
A stochastic approximation method
-
Robbins, H., S. Monro. 1951. A stochastic approximation method. Ann. Math. Statist. 22 400-407.
-
(1951)
Ann. Math. Statist
, vol.22
, pp. 400-407
-
-
Robbins, H.1
Monro, S.2
-
28
-
-
0002686402
-
A convergence theorem for nonnegative almost supermartingales and some applications
-
J. S. Rustagi, ed, Academic Press, New York
-
Robbins, H., D. Siegmund. 1971. A convergence theorem for nonnegative almost supermartingales and some applications. J. S. Rustagi, ed. Optimizing Methods in Statistics. Academic Press, New York, 233-257.
-
(1971)
Optimizing Methods in Statistics
, pp. 233-257
-
-
Robbins, H.1
Siegmund, D.2
-
29
-
-
1342294269
-
On a stochastic approximation theorem in a Hilbert space and its applications
-
Salov, G. 1980. On a stochastic approximation theorem in a Hilbert space and its applications. Theory Probab. Appl. 24 413-419.
-
(1980)
Theory Probab. Appl
, vol.24
, pp. 413-419
-
-
Salov, G.1
-
30
-
-
38249020025
-
On H-valued Robbins-Monro processes
-
Yin, G., Y. M. Zhu. 1990. On H-valued Robbins-Monro processes. J. Multivariate Anal. 34 116-140.
-
(1990)
J. Multivariate Anal
, vol.34
, pp. 116-140
-
-
Yin, G.1
Zhu, Y.M.2
|