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Volumn Part F129585, Issue , 1993, Pages 335-344

Bounds for the computational power and learning complexity of analog neural nets

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; CHEMICAL ACTIVATION; COMPUTER CIRCUITS; PIECEWISE LINEAR TECHNIQUES; RATIONAL FUNCTIONS; THRESHOLD ELEMENTS; APPROXIMATION THEORY; BOOLEAN ALGEBRA; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CONTROL SYSTEMS; FUNCTION EVALUATION; LEARNING SYSTEMS; LOGIC GATES; RECURSIVE FUNCTIONS;

EID: 0027224339     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/167088.167193     Document Type: Conference Paper
Times cited : (35)

References (44)
  • 1
    • 0000177227 scopus 로고
    • The Vapnik-Cher von- enkis dimension: Information versus complexity in learning
    • Y. S. Abu-Mostafa, "The Vapnik-Cher von- enkis dimension: information versus com-plexity in learning", Neural Computation, vol. 1, 1989, 312 - 317.
    • (1989) Neural Computation , vol.1 , pp. 312-317
    • Abu-Mostafa, Y.S.1
  • 3
    • 0001160588 scopus 로고
    • What size net gives valid generalization?
    • E. B. Baum, D. Haussler, "What size net gives valid generalization?", Neural Computation, vol. 1, 1989, 151 - 160.
    • (1989) Neural Computation , vol.1 , pp. 151-160
    • Baum, E.B.1    Haussler, D.2
  • 6
    • 0013995259 scopus 로고
    • Capacity problems for linear machines
    • C L. Kanal ed. Thompson Book Co
    • [C] T. M. Cover, "Capacity problems for linear machines", in: Pattern Recognition, L. Kanal ed., Thompson Book Co., 1988, 283 - 289.
    • (1988) Pattern Recognition , pp. 283-289
    • Cover, T.M.1
  • 8
    • 0000221271 scopus 로고
    • Product units: A computationally powerful and biologically plausible extension to backpropagation networks
    • DR
    • [DR] R. Durbin, D. E. Rumelhart, "Product units: A computationally powerful and biologically plausible extension to backpropagation networks", Neural Computation, vol. 1, 1989, 133 - 142.
    • (1989) Neural Computation , vol.1 , pp. 133-142
    • Durbin, R.1    Rumelhart, D.E.2
  • 10
    • 0022714544 scopus 로고
    • Constructing arrangements of lines and hyperplanes with applications
    • EOS
    • [EOS] H. Edelsbrunner, J. O'Rourke, R. Seidel, "Constructing arrangements of lines and hyperplanes with applications", SI AM J. Comp., vol. 15, 1986, 341 - 363.
    • (1986) SI AM J. Comp , vol.15 , pp. 341-363
    • Edelsbrunner, H.1    O'Rourke, J.2    Seidel, R.3
  • 15
    • 0002192516 scopus 로고
    • Decision theoretic generaliza tions of the PAC model for neural nets and other learning applications
    • H
    • [H] D. Haussler, "Decision theoretic generaliza tions of the PAC model for neural nets and other learning applications", Information and Computation, vol. 100, 1992, 78 - 150.
    • (1992) Information and Computation , vol.100 , pp. 78-150
    • Haussler, D.1
  • 16
    • 0004469897 scopus 로고
    • Neurons with graded re sponse have collective computational properties like those of two-state neurons
    • Ho
    • [Ho] J. J. Hopfield, "Neurons with graded re sponse have collective computational properties like those of two-state neurons", Proc. Nat. Acad, of Sciences USA, 1984, 3088 - 3092.
    • (1984) Proc. Nat. Acad, of Sciences USA , pp. 3088-3092
    • Hopfield, J.J.1
  • 17
    • 0001951331 scopus 로고
    • A catalog of complexity classes
    • J J. van Leeuwen ed. MIT Press Cambridge
    • [J] D. S. Johnson, "A catalog of complexity classes", in: Handbook of Theoretical Computer Science vol. A, J. van Leeuwen ed., MIT Press (Cambridge, 1990).
    • (1990) Handbook of Theoretical Computer Science , vol.A
    • Johnson, D.S.1
  • 19
    • 0023331258 scopus 로고
    • An introduction to com puting with neural nets
    • L
    • [L] R. P. Lippmann, "An introduction to com puting with neural nets", IEEE ASSP Magazine, 1987, 4 - 22.
    • (1987) IEEE ASSP Magazine , pp. 4-22
    • Lippmann, R.P.1
  • 20
    • 0141485499 scopus 로고    scopus 로고
    • On circuits of threshold el ements
    • Lu engl. translation in: Sov. Phys. Dokl, vol. 17, 1972, 91 - 93
    • [Lu] O. B. Lupanov, "On circuits of threshold el ements", Dokl. Akad. Nauk SSSR, vol. 202, 1288 - 1291; engl. translation in: Sov. Phys. Dokl, vol. 17, 1972, 91 - 93.
    • Dokl. Akad. Nauk SSSR , vol.202 , pp. 1288-1291
    • Lupanov, O.B.1
  • 26
    • 84976741814 scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • Me
    • [Me] N. Megiddo, "Linear Programming in linear time when the dimension is fixed", J. of the ACM, vol. 31, 1984, 114 - 127.
    • (1984) J. of the ACM , vol.31 , pp. 114-127
    • Megiddo, N.1
  • 28
    • 0000672424 scopus 로고
    • Fast learning in networks of locally-Tuned processing units
    • MD
    • [MD] J. Moody, C. J. Darken, "Fast learning in networks of locally-Tuned processing units", Neural Computation, vol. 1, 1989, 281 - 294.
    • (1989) Neural Computation , vol.1 , pp. 281-294
    • Moody, J.1    Darken, C.J.2
  • 30
    • 0011995096 scopus 로고
    • The synthesis of networks from threshold elements
    • N engl. translation in: Autom. Expr. vol. 7, No. 1, 1964, 35 - 39
    • [N] E.I. Neciporuk, "The synthesis of networks from threshold elements", Probl. Kibern. No. 11, 1964, 49 - 62; engl. translation in: Autom. Expr., vol. 7, No. 1, 1964, 35 - 39.
    • (1964) Probl. Kibern. , Issue.11 , pp. 49-62
    • Neciporuk, E.I.1
  • 32
    • 84865622408 scopus 로고
    • Parallel computation with threshold functions
    • PS Springer Berlin
    • [PS] I. Parbcrry, G. Schnitger, "Parallel computation with threshold functions", Lecture Notes in Computer Science vol. 223, Springer (Berlin, 1986), 272 - 290.
    • (1986) Lecture Notes in Computer Science , vol.223 , pp. 272-290
    • Parbcrry, I.1    Schnitger, G.2
  • 33
    • 0025490985 scopus 로고
    • Networks for approximation and learning
    • PG
    • [PG] T. Poggio, F. Girosi, "Networks for approximation and learning", Proc. of the IEEE, vol. 78(9), 1990, 1481 - 1497.
    • (1990) Proc. of the IEEE , vol.78 , Issue.9 , pp. 1481-1497
    • Poggio, T.1    Girosi, F.2
  • 39
    • 4043127406 scopus 로고
    • On optimal depth threshold circuits for multiplication and related problems
    • SR University of California, Irvine (March
    • [SR] K. Y. Siu, V. Roychowdhury, "On optimal depth threshold circuits for multiplication and related problems", Tech. Report ECE - 92-05, University of California, Irvine (March 1992).
    • (1992) Tech. Report ECE - 92-05
    • Siu, K.Y.1    Roychowdhury, V.2
  • 40
    • 0038928495 scopus 로고
    • Remarks on interpolation and recognition using neural nets
    • S1 R. P. Lippmann, J. Moody, D. S. Touretzky, cds. Morgan Kaufmann (San Mateo
    • [S1] E. D. Sontag, "Remarks on interpolation and recognition using neural nets", in: Advances in Neural Information Processing Systems 3, R. P. Lippmann, J. Moody, D. S. Touretzky, cds., Morgan Kaufmann (San Mateo, 1991), 939 - 945.
    • (1991) Advances in Neural Information Processing Systems 3 , pp. 939-945
    • Sontag, E.D.1
  • 41
    • 0026904597 scopus 로고
    • Feedforward nets for interpolation and classification
    • S3
    • [S3] E. D. Sontag, "Feedforward nets for interpolation and classification", J. Comp. Syst. Set., vol. 45, 1992, 20 - 48.
    • (1992) J. Comp. Syst. Set. , vol.45 , pp. 20-48
    • Sontag, E.D.1
  • 42
    • 85031730982 scopus 로고    scopus 로고
    • [S3] E. D. Sontag, private communication (July 1992)
    • [S3] E. D. Sontag, private communication (July 1992).
  • 43
    • 85031713427 scopus 로고    scopus 로고
    • [T] G. Turan, private notes (1989)
    • [T] G. Turan, private notes (1989).
  • 44
    • 0021518106 scopus 로고
    • A theory of the learnable
    • V
    • [V] L. G. Valiant, "A theory of the learnable", Comm. of the ACM, vol. 27, 1984, 1134 - 1142.
    • (1984) Comm. of the ACM , vol.27 , pp. 1134-1142
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.