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Bounds for the computational power and learning complexity of analog neural nets
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-fifth annual ACM symposium on Theory of computing table of contents
San Diego, California, United States
Pages: 335 - 344  
Year of Publication: 1993
ISBN:0-89791-591-7
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SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
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ACM  New York, NY, USA
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Downloads (6 Weeks): 1,   Downloads (12 Months): 27,   Citation Count: 13
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
A
Y.S. Abu-Mostafa, "The Vapnik-Chervonenkis dimension: information versus complexity in learning", Neural Computation, vol. 1, 1989, 312- 317
 
B
P. L. Bartlett, "Lower bounds on the Vapnik-Chervonenkis dimension of multilayer threshold networks", preprint (July 1992)
 
BH
 
BR
 
CSV
A.K. Chandra, L. Stockmeyer, U. Vishkin, "Constant depth reducibility", SIAM Y. Computing, vol. 13 (2), 1984, 423- 439
 
C
T.M. Cover, "Capacity problems for linear machines", in: Pattern Recognition, L. K#mal ed., Thompson Book Co., 1988, 283- 289
 
DS
B. DasGupta, G. Schnitger, "Efficient approximations with neural networks: a comparison of gate functions", preprint (Aug. 1992)
 
DR
 
E
 
EOS
 
GJ
P. Goldberg, M. Jerrum, "Bounding the Vapnik- Chervonenkis dimension of concept classes parameterized by real numbers", preprint (February 1993).
 
GHR
M. Goldmann, J. Hastad, A. Razborov, "Majority gates vs. general weighted threshold gates", Proc. of the 7th Structure in Complexity Theory Conference, 1992, 2 - 13
 
HMPST
 
Has
J. Hastad, "On the size of weights for threshold gates", preprint (September 1992)
 
H
 
Ho
J.J. Hopfield, "Neurons with graded response have collective computational properties hke those of two-state neurons", Proc. Nat. Acad. of Sciences USA, 1984, 3088 - 3092
 
J
KV
 
L
R.P. Lippmann, "An introduction to computing with neural nets", IEEE ASSP Magazine, 1987, 4- 22
 
Lu
O.B. Lupanov, "On circuits of threshold elements", Dokl. Akad. Nauk SSSR, vol. 202, 1288- 1291; engl. translation in: Soy. Phys. Dokl., vol. 17, 1972, 91 - 93
 
M
W. Maass, "Bounds for the computational power and learning complexity of analog neural nets", IIG - Report 3#9 of the Technische UniversitSt Graz, (October 1992).
 
MSS
 
MT
MS
 
MR
Me
 
MP
M. Minsky, S. Papert, "Perceptrons: An Introduction to Computational Geometry", Expanded Edition, MIT Press (Cambridge, 1988)
 
MD
J. Moody, C. J. Darken, "Fast learning in networks of locally-tuned processing units", Neural Computation, vol. 1, 1989, 281- 294
 
Mu
S. Muroga, "Threshold Logic and its Applications", Wiley (New York, 1971)
 
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
 
Ni
N.J. Nilsson, Learning Machines, McGraw- Hill (New York, 1971)
 
PS
 
PG
T. Poggio, F. Girosi, "Networks for approximation and learning", Proc. of the IEEE, vol. 78(9), 1990, 1481- 1497
 
R
F. Rosenblatt, "Principles of Neurodynamics", Spartan Books (New York, 1962)
 
RM
 
Sch
 
SS
H.T. Siegelmann, E. D. Sontag, "Neural networks with real weights: analog computational complexity", Report SYCON-92- 05, Rutgers Center for Systems and Control (Oct. 1992)
 
SBKH
K.Y. Sill, J. Bruck, T. Kailath, T. Hofmeister, "Depth efficient neural networks for division and related problems", to appear in IEEE Transactions on Inf. Theory
 
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)
 
S1
 
S2
 
S3
E.D. Sontag, private communication (July 1992)
 
T
G. Wuran, private notes (1989)
V

CITED BY  13