@phdthesis{BJHTUP11_1988__0229__A1_0, author = {Cottrell, Marie}, title = {Mod\'elisation de r\'eseaux de neurones par des cha{\^\i}nes de {Markov} et autres applications}, series = {Th\`eses d'Orsay}, publisher = {Universit\'e Paris-Sud Centre d'Orsay}, number = {229}, year = {1988}, language = {fr}, url = {http://archive.numdam.org/item/BJHTUP11_1988__0229__A1_0/} }
TY - BOOK AU - Cottrell, Marie TI - Modélisation de réseaux de neurones par des chaînes de Markov et autres applications T3 - Thèses d'Orsay PY - 1988 IS - 229 PB - Université Paris-Sud Centre d'Orsay UR - http://archive.numdam.org/item/BJHTUP11_1988__0229__A1_0/ LA - fr ID - BJHTUP11_1988__0229__A1_0 ER -
Cottrell, Marie. Modélisation de réseaux de neurones par des chaînes de Markov et autres applications. Thèses d'Orsay, no. 229 (1988), 212 p. http://numdam.org/item/BJHTUP11_1988__0229__A1_0/
[1] The ALOHA system-another alternative for computer communications" Proc. Fall Joint Computer Conf. AFIPS Press, Vol. 37, p. 281-285 (1970).
: "[2] Mélanges d'équations différentielles et grands écarts à la loi des grands nombres". Z. Wahrscheinlich keitstheorie, vol. 38, p. 1-54 (1977). | MR | Zbl | DOI
et : "[3] Analysis of stochastic approximations schemes with discontinuous and dependent forcing terms with applications to data communication algorithms" IEEE Trans. Aut. Control. Vol. AC-25, p. 1042-1058 (1980). | MR | Zbl | DOI
, et : "[4] Grandes déviations et applications statistiques" Astérisque 68, Soc. Math. France, p. 19-25 (1979). | Numdam | Zbl
: "[5] A general method for constructing statistical failure detection test" A paraître dans IEEE Trans. Aut. Control.
: "[6] Large deviations and rare events in the study of stochastic algorithms"IEEE Trans. Aut. Control . Vol. AC-28, n° 9, p. 907-920 (1983). | MR | Zbl | DOI
, et : "[7] Stochastic approximations via large deviations : Asymptotic properties" Siam J. on Control and Optimisation, 23, p. 675-696 (1985). | MR | Zbl | DOI
et : "[8] Programming and probability models in operations research" Monterey, CA, Brookds/Cole (1972). | Zbl
et : "[9] Packet switching in a multiaccess broadcast channel : performance evaluation" IEEE Trans. Comm. Vol. COM-23, n° 4, p. 410-423 (1984). | Zbl | DOI
et : "[10] Packet switching in a multiaccess broadcast channel" SEAS, Univ. Calif. (1964).
: "[11] Random perturbations of dynamical systems" Springer-Verlag, New York (1984) | Zbl
et : "[1] Etude d'un processus d'auto- organisation" Ann. Inst. Henri Poincaré, vol. 23, n° 1, p. 1-20 (1987). | MR | Zbl | Numdam
et : "[2] A stochastic model of retinotopy : A self organizing process". Biol. Cybern.. 53, p. 405-411 (1986). | MR | Zbl | DOI
et : "[3] Solving a combinatorial problem via self-organizing process : an application of the Kohonen algorithme to the traveling salesman problem" A paraître dans Biol. Cybern. (1988). | MR | Zbl
: "[4] The organization of behaviour" Wiley, New York (1949).
: "[5] Random difference equations and renewal theory for products of random matrices" Acta. Math. 131, p. 207-248 (1973). | MR | Zbl | DOI
: "[6] Self-organized formation of topologically correct feature maps" Biol. Cybern. 43, p. 59-69 (1982 a) | Zbl | DOI
: "[7] Clustering, taxonomy and topological maps of patterns" Proc. of the 6th Intern. Conf. on Pattern Recognition, p. 114-128 (1982 b).
: "[8] Analysis of a simple self-organizing process" Biol. Cybern.. 44, p. 135-140 (1982 c). | MR | Zbl | DOI
: "[9] Self-organization and associative memory" Springer, Berlin-Heidelberg-New York-Tokyo (1984). | MR | Zbl
: "[10] Development and maintenance of cortical somatosensory representations : Functional "maps" and neuro-anatomical repertoires" Touch, K. Barnard and T.B. Brazelton, eds, Intern. Univ. Press. New York (1985).
: "[11] On the stationary state of Kohonen's self-organizing sensory mapping" Biol. Cybern. 54, p. 99-106 (1986) | Zbl
et : "[1] Stability and attractivity in associative memory networks" Biol. Cybern. 58 , p. 123-139 (1988). | MR | Zbl | DOI
: "[2] The organization of behavior" John Wiley & Sons, New York (1949).
: "[3] Neural networks and physical system with emergent collective computational abilities" Proc. Natl. Acad. Sci. USA, .79, p. 2554-2558 (1982). | MR | Zbl | DOI
: "[4] Self-organization and associative memory" Springer, Berlin-Heidelberg, New York-Tokyo (1984). | MR | Zbl
: "[5] A logical calculus of the ideas immanent in nervous activity" Bull. Math. Biophys. 5, p. 115-133 (1943). | MR | Zbl
et : "[6] Networks of formal neurons and memory palimpsets" Europhys. Lett. J. (10), p. 535-542 (1986). | DOI
, , et : "[7] Long term memory storage capacity of multiconnected neural networkds" Biol. Cybern. 54, p. 53-63 (1986). | Zbl | DOI
et : "[8] Information storage and retrieval in spinglass like neural networks" J. Phys. Lett. 46, p. 359-365 (1985). | DOI
, et : "[9] Principles on neuro dynamics" Psych. Rev. 65. p. 386 (1958).
: "[10] Theory of self-reproducing a automate" A. W. Burks, Univ. of Illinois Press. Urbana (1966).
: "[1] The use of an artificial neural network to analyse the informational transfer properties of a simplified model of the cerebellar cortex" Proc. of the First ICNN . A paraître (1987).
, , et ; "[2] Histologie du système nerveux de l'Homme et des Vertébrés" II. Maloine, Paris (1911).
: "[3] Habituation rules for a theory of the cerebellar cortex" Biol. Cybern. 55, p. 201-209 (1986). | Zbl | DOI
: "[4] Neuroscience, vol. 5, p. 333-347 (1980)
, , et :[5] Cooperative firing activity in simultaneously recorded populations of neurons : Detection and measurement" J. of Neuroscience, vol. 5, n° 4, p. 881-889 (1985). | DOI
, et : "[6] Le traitement de l'information dans les structures nerveuses" Thèse de Doctorat d'Etat. Université de Grenoble (1980).
: "[7] Receptive fields, binocular interaction and functional architecture in the cat's visual cortex" J. Physiol. (Lond.), 160, p. 106-154 (1962). | DOI
et : "[1] The throughput of packets broadcasting channels," IEEE Trans. Commun,. vol. COM-25, Jan. 1977. | DOI
, "[2] Mélanges d'équations différentielles, grands écarts à la loi des grands nombres," Z. Wahrscheinlichkeitstheorie verm. Gebiete, vol. 38, pp. 1-54, 1977. | MR | Zbl | DOI
and , "[3] Outils et modèles mathématiques pour l'analyse des systèmes", presented at the Séminaire des Techniques Probabilistes en automatique et télécommunications, Paris, France, Mar. 20-21, 1980, RCP 567, pp. 13-51.
, "[4] Analysis of stochastic approximation schemes with discontinuous and dependent forcing terms with applications to data communication algorithms," IEEE Tram. Automat. Contr., vol. AC-25, pp. 1042-1058, Dec. 1980. | MR | Zbl | DOI
, , and , "[5] Convergence of Probability Measures. New York: Wiley, 1968. | MR | Zbl
,[6] Astérisque 68, Soc. Math. France, 1979, pp. 33-53. | Zbl | Numdam
,[7] Evénements rares pour l'étude de certains algorithms stochastiques," l'Univ. Paris-Sud, Orsay, France, Prepubl. 80 T 35.
, , and , "[8] Astérisque 68, Soc. Math. France, 1979, pp. 19-25. | Zbl | Numdam
,[9] Dynamic Programming and the Calculus of Variation. New York: Academic, 1965. | MR | Zbl
,[10] Stability and optimal control of the packet switching broadcast channels," JACM. | Zbl
, , and , "[11] An Introduction to Probability and its Applications, Vol. II. New York: Wiley, 1971. | MR | Zbl
,[12]
, Thèse de 3ème cycle, Univ. Paris-Sud, Orsay, France, 1980.[13] Programming and Probability Models in Operations Research. Monterey, CA: Brooks/Cole, 1972. | Zbl
and ,[14] Stochastic Differential Equations. New York: Springer-Verlag, 1972. | MR | Zbl | DOI
and ,[15] On the weak convergence of a sequence of general stochastic difference equations to a diffusion," Lefschetz Center for Dynam. Syst., Division of Appl. Math., Brown Univ., Providence, RI, 1979. | Zbl
and , "[16] Information Theory and Statistics. New York: Dover, 1968. | MR
,[17] Packet switching in a multiaccess broadcast channel," S.E.A.S., Univ. Calif., 1964.
, "[18] Persistence of dynamical system under random perturbation," SIAM Rev., vol. 17, pp. 605-640, 1975. | MR | Zbl | DOI
, "[19] Fluctuations Phenomena: Studies in Statistical Mechanics, J. L. Lebowitz and E. W. Montroll, Eds. Amsterdam, The Netherlands: North-Holland.
and ,[20] Stopping times for cumulative sums of mixtures and approach by the large deviations theory," presented at the 20th CDC, 1981.
, "[21] Rough limit theorems on large deviations for Markov stochastic processes II," Theory Prob. Appl. (USSR), vol. 21, pp. 499-512, 1976. | Zbl | MR | DOI
, "[22] Fluktnacii v dinamicheskikh sistemakh malykh sluchaînykh vozmushchenii. Moscow, USSR: Nauka, 1979.
and ,[1] Stochastic Processes, Wiley, 1956. | MR | Zbl
,[2] Self-organized formation of topologically correct feature maps, Biol. Cybern., t. 43, 1982, p. 59 à 69. | Zbl | DOI
,[3] Analysis of a simple self-organizing process, Biol. Cybernt. t. 44, 1982, p. 135-140. | MR | Zbl | DOI
,[4] Self-organization and associative memory, Springer-Verlag, 1984. | MR | Zbl
,[5] Semi-martingales, de Gruyter, 1982.
,[6] Theory of Ordinary Differential Equations, Mc Graw-Hill, 1955. | MR | Zbl
et ,[7] Stochastic approximation and recursive estimation. A. M. S. Translations, t. 47, 1973. | Zbl
et ,[8] Introduction to matrix computations. Academic Press, 1973. | MR | Zbl
,Self organizing mechanism for the formation of ordered neural mappings. Biol Cybera 51:93-101 | Zbl | DOI
, (1984)The theory of matrices, vol. 1 and 2. Chelsea Publishing Company, New York | MR
(1959)Random difference equations and renewal theory for products of random matrices. Acta Math 131:207-248 | MR | Zbl | DOI
(1973)Self-organized formation of topogically correct feature maps. Biol Cybern 43:59-69 | Zbl | DOI
(1982)Self-organization and associative memory. Springer, Berlin Heidelberg New York Tokyo | MR | Zbl
(1984)The extended Branch-Arrow model of the formation of retinotectal connexions. Biol Cybern 45:157-175 | DOI
, (1982)A marker induction for the establishment of ordered neural mapping: its application to the retino-tectal problem. Philos Trans R Soc London 287:B1021
, (1979)Phys Rev A 32:1007. | DOI
, , (1985a)Phys Rev Lett 55:1530. | DOI
, , (1985b)J Theor Biol 1:204. | MR | DOI
(1961) , , (1978)The organization of behavior. Wiley, New York.
(1949) (1982) Proc Natl Acad Sci USAHelsinki University of Technical Report TKK-F-A130.
(1970)IEEE Trans C-21:353-359. | Zbl
(1972)Self-organization and associative memory. Springer, Berlin Heidelberg New York. | MR | Zbl
(1984).Biol Cybern 21:85-95. | MR | Zbl | DOI
, (1976)Annales Academiae Scientiarum Fennicae A: V Medica 167.
, , (1974)Neuroscience 2:106-1076. | DOI
, , , , , (1977)Math Biosci 19:101. | Zbl | DOI
(1974)IEEE Trans SMC-2:380-388.
(1972) (1984)Collective properties of neural networks. In: Proceedings of the winter school on "Disordered Systems and Biological Organization" | MR | Zbl
, (1985)J Phys Lett 46:359. | DOI
, , (1985)J Stat Phys 43:411. | MR | Zbl | DOI
, , , (1986)Psych Rev 65:386. | DOI
(1958)J Phys Lett 46:624.
, (1985)CRAS PARIS, t. 301, Série III, n° 10.
, , , (1985),The use of an artificial neural network to analyse the informational transfer properties of a simplified model of the cerebellar cortex in IEEE. Proceedings of the First International Conference on neural networks (à paraître).
, , , (1987).Nature, vol. 321, p. 579.
, (1986) .Biol. Cybern. 55, p. 201-209. | Zbl | DOI
(1986).Statistical analysis of series of events. Methven and Coltd, London.
, (1968).Neuroscience 5, p. 333-347. | DOI
, , , (1980).The cerebellum as a neuronal machine. Springer, Berlin Heidelberg New York. | DOI
, , (1967).CRAS, Paris t. 301, Série III, n° 11.
, , (1985).The cerebellum and neural control. Raven Press, New York.
(1984).Self-organization and Associative memory, Springer, BerlinHeidelberg, New York. | MR | Zbl
, (1984).IEEE Trans. BME25, p. 1-12. | DOI
, (1978).A theory of cerebellar cortex. J. Physiol. 202, p.437-470. | DOI
(1969).Martingales à temps discret. Masson, Paris. | MR
(1972).General irreducible Markov chains and non-negative operators. Cambridge University Press. | MR | Zbl | DOI
(1984).Cerebellar cortex. Springer, Berlin Heidelberg, New York.
, (1974).Markov chains, North Holland. | MR | Zbl
(1975).Paralel distributing processing, Tome 1 et 2, MIT Press, Cambridge.
, (1986).Stochastic models for spike trains of single neurons, Springer, Berlin, Heidelberg, New York. | Zbl | DOI
, (1977).