메뉴 건너뛰기




Volumn 10, Issue 5, 1998, Pages 1071-1095

On the Effect of Analog Noise in Discrete-Time Analog Computations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001243798     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976698300017359     Document Type: Article
Times cited : (68)

References (36)
  • 1
    • 0011252246 scopus 로고
    • Efficient simulation of finite automata by neural nets
    • Alon, N., Dewdney, A. K., & Ott, T. J. (1991). Efficient simulation of finite automata by neural nets. J. Assoc. Comput. Mach., 38, 495-514.
    • (1991) J. Assoc. Comput. Mach. , vol.38 , pp. 495-514
    • Alon, N.1    Dewdney, A.K.2    Ott, T.J.3
  • 3
    • 0348112118 scopus 로고
    • Distinctive features, categorical perception, and probability learning: Some applications of a neural model
    • J. A. Anderson & E. Rosenfeld (Eds.), Cambridge, MA: MIT Press
    • Anderson, J. A., Silverstein, J. W., Ritz, S. A., & Jones, R. S. (1988). Distinctive features, categorical perception, and probability learning: Some applications of a neural model. In J. A. Anderson & E. Rosenfeld (Eds.), Neurocomputing: Foundations of research. Cambridge, MA: MIT Press.
    • (1988) Neurocomputing: Foundations of Research
    • Anderson, J.A.1    Silverstein, J.W.2    Ritz, S.A.3    Jones, R.S.4
  • 4
  • 5
    • 84968516134 scopus 로고
    • On a theory of computation over the real numbers: NP-completeness, recursive functions and universal machines
    • Blum, L., Shub, M., & Smale, S. (1989). On a theory of computation over the real numbers: NP-completeness, recursive functions and universal machines. Bulletin of the Amer. Math. Soc., 21, 1-46.
    • (1989) Bulletin of the Amer. Math. Soc. , vol.21 , pp. 1-46
    • Blum, L.1    Shub, M.2    Smale, S.3
  • 7
    • 0030586641 scopus 로고    scopus 로고
    • The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction
    • Casey, M. (1996). The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction. Neural Computation, 8(6), 1135-1178.
    • (1996) Neural Computation , vol.8 , Issue.6 , pp. 1135-1178
    • Casey, M.1
  • 8
    • 0346376944 scopus 로고
    • Synthesis of reliable automata from unreliable components
    • E. R. Caianiello (Ed.), New York: Academic Press
    • Cowan, J. D. (1966). Synthesis of reliable automata from unreliable components. In E. R. Caianiello (Ed.), Automata theory (pp. 131-145). New York: Academic Press.
    • (1966) Automata Theory , pp. 131-145
    • Cowan, J.D.1
  • 10
    • 0030125824 scopus 로고    scopus 로고
    • Representation of finite state automata in recurrent radial basis function networks
    • Frasconi, P., Gori, M., Maggini, M., & Soda, G. (1996). Representation of finite state automata in recurrent radial basis function networks. Machine Learning, 23, 5-32.
    • (1996) Machine Learning , vol.23 , pp. 5-32
    • Frasconi, P.1    Gori, M.2    Maggini, M.3    Soda, G.4
  • 11
    • 0026368948 scopus 로고
    • Lower bounds for the complexity of reliable boolean circuits with noisy gates
    • New York: IEEE Computer Science Press
    • Gál, A. (1991). Lower bounds for the complexity of reliable boolean circuits with noisy gates. In Proceedings of the 32th Annual IEEE Symposium on Foundations of Computer Science (pp. 594-601). New York: IEEE Computer Science Press.
    • (1991) Proceedings of the 32th Annual IEEE Symposium on Foundations of Computer Science , pp. 594-601
    • Gál, A.1
  • 12
    • 0004477811 scopus 로고
    • How to describe neuronal activity: Spikes, rates or assemblies?
    • J. D. Cowan, G. Tesauro, & J. Alspector (Eds.), San Mateo, CA: Morgan Kaufmann
    • Gerstner, W., & van Hemmen, J. L. (1994). How to describe neuronal activity: Spikes, rates or assemblies? In J. D. Cowan, G. Tesauro, & J. Alspector (Eds.), Advances in neural information processing systems, 6 (pp. 463-470). San Mateo, CA: Morgan Kaufmann.
    • (1994) Advances in Neural Information Processing Systems , vol.6 , pp. 463-470
    • Gerstner, W.1    Van Hemmen, J.L.2
  • 13
    • 0029256399 scopus 로고
    • Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers
    • Goldberg, P. W., & Jerrum, M. R. (1995). Bounding the Vapnik-Chervonenkis dimension of concept classes parameterized by real numbers. Machine Learning, 18, 131-148.
    • (1995) Machine Learning , vol.18 , pp. 131-148
    • Goldberg, P.W.1    Jerrum, M.R.2
  • 14
    • 0002192516 scopus 로고
    • Decision theoretic generalizations of the PAC-model for neural nets and other learning applications
    • Haussler, D. (1992). Decision theoretic generalizations of the PAC-model for neural nets and other learning applications. Information and Computation, 100, 78-150.
    • (1992) Information and Computation , vol.100 , pp. 78-150
    • Haussler, D.1
  • 16
    • 0030110968 scopus 로고    scopus 로고
    • Bounds on the complexity of recurrent neural network implementations of finite state machines
    • Horne, B. G., & Hush, D. R. (1996). Bounds on the complexity of recurrent neural network implementations of finite state machines. Neural Networks, 9, 243-252.
    • (1996) Neural Networks , vol.9 , pp. 243-252
    • Horne, B.G.1    Hush, D.R.2
  • 17
  • 18
    • 0031077292 scopus 로고    scopus 로고
    • Polynomial bounds for VC-dimension of sigmoidal and general Pfaffian neural networks
    • Karpinski, M., & Macintyre, A. (1997). Polynomial bounds for VC-dimension of sigmoidal and general Pfaffian neural networks. J. Computer and System Sciences, 54, 169-179.
    • (1997) J. Computer and System Sciences , vol.54 , pp. 169-179
    • Karpinski, M.1    Macintyre, A.2
  • 21
    • 0028496407 scopus 로고
    • Computability with low-dimensional dynamical systems
    • Koiran, P., Cosnard, M., & Garzon, M. (1994). Computability with low-dimensional dynamical systems. Theoret. Comput. Sci., 132, 113-128.
    • (1994) Theoret. Comput. Sci. , vol.132 , pp. 113-128
    • Koiran, P.1    Cosnard, M.2    Garzon, M.3
  • 22
    • 0010687655 scopus 로고
    • Vapnik-Chervonenkis dimension of neural nets
    • M. A. Arbib (Ed.), Cambridge, MA: MIT Press
    • Maass, W. (1995). Vapnik-Chervonenkis dimension of neural nets. In M. A. Arbib (Ed.), The handbook of brain theory and neural networks (pp. 1000-1003). Cambridge, MA: MIT Press.
    • (1995) The Handbook of Brain Theory and Neural Networks , pp. 1000-1003
    • Maass, W.1
  • 23
    • 0001781836 scopus 로고    scopus 로고
    • Lower bounds for the computational power of networks of spiking neurons
    • Maass, W. (1996). Lower bounds for the computational power of networks of spiking neurons. Neural Computation, 8, 1-40.
    • (1996) Neural Computation , vol.8 , pp. 1-40
    • Maass, W.1
  • 24
    • 0031568358 scopus 로고    scopus 로고
    • Fast sigmoidal networks via spiking neurons
    • Maass, W. (1997). Fast sigmoidal networks via spiking neurons. Neural Computation, 9, 279-304.
    • (1997) Neural Computation , vol.9 , pp. 279-304
    • Maass, W.1
  • 26
    • 0001102743 scopus 로고
    • Unpredictability and undecidability in physical systems
    • Moore, C. (1990). Unpredictability and undecidability in physical systems. Phys. Review Letters, 64, 2354-2357.
    • (1990) Phys. Review Letters , vol.64 , pp. 2354-2357
    • Moore, C.1
  • 27
    • 0030286473 scopus 로고    scopus 로고
    • Constructing deterministic finite-state automata in recurrent neural networks
    • Omlin, C. W., & Giles, C. L. (1996). Constructing deterministic finite-state automata in recurrent neural networks. J. Assoc. Comput. Mach., 43, 937-972.
    • (1996) J. Assoc. Comput. Mach. , vol.43 , pp. 937-972
    • Omlin, C.W.1    Giles, C.L.2
  • 28
    • 0347007011 scopus 로고    scopus 로고
    • Universal computation by finite two-dimensional coupled map lattices
    • Boston: New England Complex Systems Institute
    • Orponen, P., & Matamala, M. (1996). Universal computation by finite two-dimensional coupled map lattices. In Proceedings of the Workshop on Physics and Computation, PhysComp'96 (pp. 243-247). Boston: New England Complex Systems Institute.
    • (1996) Proceedings of the Workshop on Physics and Computation, PhysComp'96 , pp. 243-247
    • Orponen, P.1    Matamala, M.2
  • 29
    • 0029269583 scopus 로고
    • Complete and partial fault tolerance of feed-forward neural nets
    • Phatak, D. S., & Koren, I. (1995). Complete and partial fault tolerance of feed-forward neural nets. IEEE Transactions on Neural Networks, 6, 446-456.
    • (1995) IEEE Transactions on Neural Networks , vol.6 , pp. 446-456
    • Phatak, D.S.1    Koren, I.2
  • 30
    • 0024702212 scopus 로고
    • Invariance of complexity measures for networks with unreliable gates
    • Pippenger, N. (1989). Invariance of complexity measures for networks with unreliable gates. J. Assoc. Comput. Mach., 36, 531-539.
    • (1989) J. Assoc. Comput. Mach. , vol.36 , pp. 531-539
    • Pippenger, N.1
  • 31
    • 50549176920 scopus 로고
    • Probabilistic automata
    • Rabin, M. (1963). Probabilistic automata. Information and Control, 6, 230-245.
    • (1963) Information and Control , vol.6 , pp. 230-245
    • Rabin, M.1
  • 33
    • 0002663413 scopus 로고
    • Turing computability with neural nets
    • Siegelmann, H. T., & Sontag, E. D. (1991). Turing computability with neural nets. Appl. Math. Letters, 4(6), 77-80.
    • (1991) Appl. Math. Letters , vol.4 , Issue.6 , pp. 77-80
    • Siegelmann, H.T.1    Sontag, E.D.2
  • 35
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • Vapnik, V. N., & Chervonenkis, A. Y. (1971). On the uniform convergence of relative frequencies of events to their probabilities. Theory of Probability and Its Applications, 16, 264-280.
    • (1971) Theory of Probability and Its Applications , vol.16 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Y.2
  • 36
    • 0003133883 scopus 로고
    • Probabilistic logics and the synthesis of reliable organisms from unreliable components
    • C. E. Shannon & J. E. McCarthy (Eds.), Annals of Mathematics Studies 34. Princeton, NJ: Princeton University Press
    • von Neumann, J. (1956). Probabilistic logics and the synthesis of reliable organisms from unreliable components. In C. E. Shannon & J. E. McCarthy (Eds.), Automata studies (pp. 329-378). Annals of Mathematics Studies 34. Princeton, NJ: Princeton University Press.
    • (1956) Automata Studies , pp. 329-378
    • Von Neumann, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.