-
1
-
-
0030104967
-
A dynamical system approach to stochastic approximations
-
BENAÏM, M. (1996). A dynamical system approach to stochastic approximations. SIAM J. Control Optim. 34, 437-472.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 437-472
-
-
Benaïm, M.1
-
2
-
-
0040249270
-
Recursive algorithms, urn processes and chaining number of chain recurrent sets
-
BENAÏM, M. (1998). Recursive algorithms, urn processes and chaining number of chain recurrent sets. Ergod. Th. & Dynam. Sys. 18, 53-87.
-
(1998)
Ergod. Th. & Dynam. Sys.
, vol.18
, pp. 53-87
-
-
Benaïm, M.1
-
3
-
-
0001470821
-
Self-organization and convergence of the one-dimensional Kohonen algorithm with non-uniformly distributed stimuli
-
BOUTON, C. AND PAGÈS, G. (1993). Self-organization and convergence of the one-dimensional Kohonen algorithm with non-uniformly distributed stimuli. Stoch. Proc. Appl. 47, 249-274.
-
(1993)
Stoch. Proc. Appl.
, vol.47
, pp. 249-274
-
-
Bouton, C.1
Pagès, G.2
-
4
-
-
84865887173
-
Unicité d'un quantifieur localement optimal par la methode du col
-
Laboratoire de Probabilités, Université Paris 6, France
-
COHORT, P. (1998). Unicité d'un quantifieur localement optimal par la methode du col, Technical Report, Laboratoire de Probabilités, Université Paris 6, France.
-
(1998)
Technical Report
-
-
Cohort, P.1
-
5
-
-
0542423110
-
-
Conference Board of the Mathematical Science AMS Regional Conference Series in Mathematics
-
CONLEY, C. (1978). Isolated invariant set and the Morse index. Conference Board of the Mathematical Science AMS Regional Conference Series in Mathematics.
-
(1978)
Isolated Invariant Set and the Morse Index
-
-
Conley, C.1
-
6
-
-
0002098719
-
Étude d'un algorithme d'auto-organisation
-
COTTRELL, M. AND FORT, J. C. (1987). Étude d'un algorithme d'auto-organisation. Ann. Inst. H. Poincaré B 23, 1-20.
-
(1987)
Ann. Inst. H. Poincaré B
, vol.23
, pp. 1-20
-
-
Cottrell, M.1
Fort, J.C.2
-
8
-
-
21344436353
-
On the a.s. convergence of the Kohonen algorithm with a general neighborhood function
-
FORT, J. C. AND PAGÈS, G. (1995). On the a.s. convergence of the Kohonen algorithm with a general neighborhood function. Ann. Appl. Prob. 5, 1177-1216.
-
(1995)
Ann. Appl. Prob.
, vol.5
, pp. 1177-1216
-
-
Fort, J.C.1
Pagès, G.2
-
9
-
-
0030198875
-
About the Kohonen algorithm: Strong or weak self-organization?
-
FORT, J. C. AND PAGÈS, G. (1996). About the Kohonen algorithm: strong or weak self-organization? Neural Networks 9, 773-785.
-
(1996)
Neural Networks
, vol.9
, pp. 773-785
-
-
Fort, J.C.1
Pagès, G.2
-
10
-
-
0000258953
-
Convergence of stochastic algorithms: From the Kushner & Clark theorem to the Lyapounov functional method
-
FORT, J. C. AND PAGÈS, G. (1996). Convergence of stochastic algorithms: from the Kushner & Clark theorem to the Lyapounov functional method. Adv. Appl. Prob. 28, 1072-1094.
-
(1996)
Adv. Appl. Prob.
, vol.28
, pp. 1072-1094
-
-
Fort, J.C.1
Pagès, G.2
-
11
-
-
85034470252
-
Asymptotic behaviour of a Markovian stochastic algorithm with constant step
-
To appear
-
FORT, J. C. AND PAGÈS, G. (1996). Asymptotic behaviour of a Markovian stochastic algorithm with constant step. To appear in SIAM J. Control Optimization.
-
(1996)
SIAM J. Control Optimization
-
-
Fort, J.C.1
Pagès, G.2
-
13
-
-
0001176145
-
Systems of differential equations which are competitive or cooperative II: Convergence almost everywhere
-
HIRSCH, M. (1985). Systems of differential equations which are competitive or cooperative II: convergence almost everywhere. SIAM J. of Math. Anal. 16, 423-439.
-
(1985)
SIAM J. of Math. Anal.
, vol.16
, pp. 423-439
-
-
Hirsch, M.1
-
14
-
-
33745815315
-
Stability and convergence in strongly monotone dynamical systems
-
HIRSCH, M. (1988). Stability and convergence in strongly monotone dynamical systems. J. Reine Angew. Math. 383, 1-53.
-
(1988)
J. Reine Angew. Math.
, vol.383
, pp. 1-53
-
-
Hirsch, M.1
-
15
-
-
0019991550
-
Analysis of a simple self-organizing process
-
KOHONEN, T. (1982). Analysis of a simple self-organizing process. Biol. Cybernet. 44, 135-140.
-
(1982)
Biol. Cybernet.
, vol.44
, pp. 135-140
-
-
Kohonen, T.1
-
17
-
-
0013560711
-
A graph theoretic approach to monotonicity with respect to initial conditions
-
Eds. X. Liu and D. Siegel. Marcel Dekker, New York
-
KUNZE, H. AND SIEGEL, D. (1994). A graph theoretic approach to monotonicity with respect to initial conditions. In Comparison Methods and Stability Theory. Eds. X. Liu and D. Siegel. Marcel Dekker, New York.
-
(1994)
Comparison Methods and Stability Theory
-
-
Kunze, H.1
Siegel, D.2
-
18
-
-
0003099730
-
Stochastic Approximation for Constrained and Unconstrained Systems
-
Springer, Berlin
-
KUSHNER, H. J. AND CLARK, D. S. (1978). Stochastic Approximation for Constrained and Unconstrained Systems. Appl. Math. Sci. Series, 26, Springer, Berlin.
-
(1978)
Appl. Math. Sci. Series
, vol.26
-
-
Kushner, H.J.1
Clark, D.S.2
-
19
-
-
0013198589
-
Théorèmes de convergence presque sûre pour une classe d'algorithmes stochastiques
-
MÉTIVIER, M. AND PRIOURET, P. (1987). Théorèmes de convergence presque sûre pour une classe d'algorithmes stochastiques. Prob. Theory Rel. Fields 74, 403-428.
-
(1987)
Prob. Theory Rel. Fields
, vol.74
, pp. 403-428
-
-
Métivier, M.1
Priouret, P.2
-
21
-
-
34250092740
-
Convergence properties of Kohonen's topology conserving maps: Fluctuation, stability and dimension selection
-
RITTER, H. AND SCHULTEN, K. (1988). Convergence properties of Kohonen's topology conserving maps: fluctuation, stability and dimension selection. Biol. Cybernet. 60, 59-71.
-
(1988)
Biol. Cybernet.
, vol.60
, pp. 59-71
-
-
Ritter, H.1
Schulten, K.2
-
22
-
-
0542423108
-
Asymptotic behaviour of self-organizing maps with non-uniform stimuli distribution
-
Kaiserslautern University, Germany
-
o 166, Kaiserslautern University, Germany.
-
(1996)
o 166
-
-
Sadeghi, A.1
-
23
-
-
0003270907
-
Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems
-
AMS, Providence, RI
-
SMITH, H. L. (1995) Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems. Mathematical Surveys and Monographs 41, AMS, Providence, RI.
-
(1995)
Mathematical Surveys and Monographs
, vol.41
-
-
Smith, H.L.1
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