-
2
-
-
0004875952
-
Recent developments in stochastic approximation
-
June
-
H. F. Chen, Recent developments in stochastic approximation, in Proceedings of the 1996 IFAC World Congress, pp. 375-380, June 1996.
-
(1996)
Proceedings of the 1996 IFAC World Congress
, pp. 375-380
-
-
Chen, H.F.1
-
3
-
-
38249037320
-
Convergence and robustness of the Robbins-Monro algorithm truncated at randomly varying bounds
-
H.-F. Chen, L. Guo, and A.-J. Gao, Convergence and robustness of the Robbins-Monro algorithm truncated at randomly varying bounds, Stochastic Processes and Their Applications, vol. 27, pp. 217-231, 1988.
-
(1988)
Stochastic Processes and Their Applications
, vol.27
, pp. 217-231
-
-
Chen, H.-F.1
Guo, L.2
Gao, A.-J.3
-
4
-
-
0011780422
-
Necessary and sufficient conditions for the Robbins-Monro method
-
D.S. Clark, Necessary and sufficient conditions for the Robbins-Monro method, Stochastic Processes and Their Applications, vol. 17, pp. 359-367, 1984.
-
(1984)
Stochastic Processes and Their Applications
, vol.17
, pp. 359-367
-
-
Clark, D.S.1
-
5
-
-
0030242092
-
General results on the convergence of stochastic algorithms
-
Sept.
-
B. Delyon, General results on the convergence of stochastic algorithms, IEEE Transactions on Automatic Control, vol. 41, no. 9, pp. 1245-1255, Sept. 1996.
-
(1996)
IEEE Transactions on Automatic Control
, vol.41
, Issue.9
, pp. 1245-1255
-
-
Delyon, B.1
-
7
-
-
0029771427
-
On the averaged stochastic approximation for linear regression
-
Jan.
-
L. Györfi and H. Walk, On the averaged stochastic approximation for linear regression, SIAM Journal on Control and Optimization, vol. 34, no. 1, pp. 31-61, Jan. 1996.
-
(1996)
SIAM Journal on Control and Optimization
, vol.34
, Issue.1
, pp. 31-61
-
-
Györfi, L.1
Walk, H.2
-
8
-
-
0040115993
-
Almost sure approximation of the Robbins-Monro process by sums of independent random variables
-
G. Kersting, Almost sure approximation of the Robbins-Monro process by sums of independent random variables, The Annals of Probability, vol. 5, no. 6, pp. 954-965, 1977.
-
(1977)
The Annals of Probability
, vol.5
, Issue.6
, pp. 954-965
-
-
Kersting, G.1
-
9
-
-
0030109229
-
An alternative proof for convergence of stochastic approximation algorithms
-
Mar.
-
S. R. Kulkarni and C. S. Horn, An alternative proof for convergence of stochastic approximation algorithms, IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 419-424, Mar. 1996.
-
(1996)
IEEE Transactions on Automatic Control
, vol.41
, Issue.3
, pp. 419-424
-
-
Kulkarni, S.R.1
Horn, C.S.2
-
10
-
-
0027627789
-
Stochastic approximation with averaging of the iterates: Optimal asymptotic rate of convergence for general processes
-
H. J. Kushner and J. Yang, Stochastic approximation with averaging of the iterates: Optimal asymptotic rate of convergence for general processes, SIAM Journal on Control and Optimization, vol. 31, no. 4, pp. 1045-1062, 1993.
-
(1993)
SIAM Journal on Control and Optimization
, vol.31
, Issue.4
, pp. 1045-1062
-
-
Kushner, H.J.1
Yang, J.2
-
11
-
-
0029221295
-
Stochastic approximation with averaging and feedback: Rapidly convergent "on-line" algorithms
-
H. J. Kushner and J. Yang, Stochastic approximation with averaging and feedback: Rapidly convergent "on-line" algorithms, IEEE Transactions on Automatic Control, vol. 40, no. 1, pp. 24-34, 1995.
-
(1995)
IEEE Transactions on Automatic Control
, vol.40
, Issue.1
, pp. 24-34
-
-
Kushner, H.J.1
Yang, J.2
-
13
-
-
0000014716
-
Strong convergence of a stochastic approximation algorithm
-
L. Ljung, Strong convergence of a stochastic approximation algorithm, The Annals of Statistics, vol. 6, no. 3, pp. 680-696, 1978.
-
(1978)
The Annals of Statistics
, vol.6
, Issue.3
, pp. 680-696
-
-
Ljung, L.1
-
14
-
-
0028748850
-
Aspects on accelerated convergence in stochastic approximation schemes
-
Lake Buena Vista, FL
-
L. Ljung, Aspects on accelerated convergence in stochastic approximation schemes, in Proceedings of the 33rd Conference on Decision and Control (Lake Buena Vista, FL), pp. 1649-1652, 1994.
-
(1994)
Proceedings of the 33rd Conference on Decision and Control
, pp. 1649-1652
-
-
Ljung, L.1
-
17
-
-
0021385812
-
Applications of a Kushner and Clark lemma to general classes of stochastic algorithms
-
Mar.
-
M. Metivier and P. Priouret, Applications of a Kushner and Clark lemma to general classes of stochastic algorithms, IEEE Transactions on Information Theory, vol. 30, no. 2, pp. 140-151, Mar. 1984.
-
(1984)
IEEE Transactions on Information Theory
, vol.30
, Issue.2
, pp. 140-151
-
-
Metivier, M.1
Priouret, P.2
-
18
-
-
3342956035
-
Some remarks on the paper by Theodorescu and Wolff: "Sequential estimation of expectations in the presence of trend,"
-
A. Pakes, Some remarks on the paper by Theodorescu and Wolff: "Sequential estimation of expectations in the presence of trend," Australian Journal of Statistics, vol. 24, pp. 89-97, 1982.
-
(1982)
Australian Journal of Statistics
, vol.24
, pp. 89-97
-
-
Pakes, A.1
-
19
-
-
84904774796
-
New method of stochastic approximation type
-
B. T. Polyak, New method of stochastic approximation type, Automatic Remote Control, vol. 51, pp. 937-946, 1990.
-
(1990)
Automatic Remote Control
, vol.51
, pp. 937-946
-
-
Polyak, B.T.1
-
20
-
-
0026899240
-
Acceleration of stochastic approximation by averaging
-
July
-
B. T. Polyak and A. B. Juditsky, Acceleration of stochastic approximation by averaging, SIAM Journal on Control and Optimization, vol. 30, no. 4, pp. 838-855, July 1992.
-
(1992)
SIAM Journal on Control and Optimization
, vol.30
, Issue.4
, pp. 838-855
-
-
Polyak, B.T.1
Juditsky, A.B.2
-
21
-
-
0010921719
-
Almost sure approximations to the Robbins-Monro and Kiefer-Wolfowitz processes with dependent noise
-
D. Ruppert, Almost sure approximations to the Robbins-Monro and Kiefer-Wolfowitz processes with dependent noise, The Annals of Probability, vol. 10, no. 1, pp. 178-187, 1982.
-
(1982)
The Annals of Probability
, vol.10
, Issue.1
, pp. 178-187
-
-
Ruppert, D.1
-
22
-
-
0003532349
-
Efficient estimators from a slowly convergent Robbins-Monro process
-
School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY
-
D. Ruppert, Efficient estimators from a slowly convergent Robbins-Monro process, Technical Report, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY, 1988.
-
(1988)
Technical Report
-
-
Ruppert, D.1
-
23
-
-
38249039301
-
Strong representation of an adaptive stochastic approximation procedure
-
R. Schwabe, Strong representation of an adaptive stochastic approximation procedure, Stochastic Processes and Their Applications, vol. 23, pp. 115-130, 1986.
-
(1986)
Stochastic Processes and Their Applications
, vol.23
, pp. 115-130
-
-
Schwabe, R.1
-
24
-
-
21144469412
-
Stability results for smoothed stochastic approximation procedures
-
R. Schwabe, Stability results for smoothed stochastic approximation procedures, Zeitschrift für Angew andte Mathematik und Mechanik, vol. 73, pp. 639-643, 1993.
-
(1993)
Zeitschrift für Angew Andte Mathematik und Mechanik
, vol.73
, pp. 639-643
-
-
Schwabe, R.1
-
25
-
-
0040475877
-
On a stochastic approximation procedure based on averaging
-
to appear
-
R. Schwabe and H. Walk, On a stochastic approximation procedure based on averaging, Metrika, 1996, to appear.
-
(1996)
Metrika
-
-
Schwabe, R.1
Walk, H.2
-
26
-
-
3342928284
-
-
Manuscript, Schools of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332
-
A. Shapiro and Y. Wardi, Convergence analysis of gradient descent stochastic algorithms, Manuscript, Schools of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332, 1995.
-
(1995)
Convergence Analysis of Gradient Descent Stochastic Algorithms
-
-
Shapiro, A.1
Wardi, Y.2
-
29
-
-
0001055484
-
Equivalent necessary and sufficient conditions on noise sequences for stochastic approximation algorithms
-
I.-J. Wang, E. K. P. Chong, and S. R. Kulkarni, Equivalent necessary and sufficient conditions on noise sequences for stochastic approximation algorithms, Advances in Applied Probability, vol. 28, pp. 784-801, 1996.
-
(1996)
Advances in Applied Probability
, vol.28
, pp. 784-801
-
-
Wang, I.-J.1
Chong, E.K.P.2
Kulkarni, S.R.3
-
30
-
-
0025388216
-
Stochastic algorithms with Armijo step sizes for minimization of functions
-
Y. Wardi, Stochastic algorithms with Armijo step sizes for minimization of functions, Journal of Optimization Theory and Applications, vol. 64, pp. 399-417, 1990.
-
(1990)
Journal of Optimization Theory and Applications
, vol.64
, pp. 399-417
-
-
Wardi, Y.1
-
31
-
-
0003254109
-
On extensions of Polyak's averaging approach to stochastic approximation
-
G. Yin, On extensions of Polyak's averaging approach to stochastic approximation, Stochastics and Stochastics Reports, vol. 36, pp. 245-264, 1991.
-
(1991)
Stochastics and Stochastics Reports
, vol.36
, pp. 245-264
-
-
Yin, G.1
-
32
-
-
0003013920
-
Asymptotically optimal rate of convergence of smoothed stochastic recursive algorithms
-
G. Yin and K. Yin, Asymptotically optimal rate of convergence of smoothed stochastic recursive algorithms, Stochastics and Stochastics Reports, vol. 47, pp. 21-46, 1994.
-
(1994)
Stochastics and Stochastics Reports
, vol.47
, pp. 21-46
-
-
Yin, G.1
Yin, K.2
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