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Size-depth trade-offs for threshold circuits
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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: 541 - 550  
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): 16,   Citation Count: 3
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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.

 
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Ajtai M 1 #t-Formuleoe on Finite Structure#, Annals of Pure and Applied Logic, 24, pp 1-48, 1983.
 
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Blum, N. (1984), A Boolean Function requiring 3n Network Size, Theoretical Computer Science, 28, pp. 337-345.
 
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Bruck, J. and Smolensky, R. (1990), Polynomial Threshold Functions, AC~ Functions and Spectral Norms, in "31st IEEE Symposium on Foundations of Computer Science", pp. 632- 641.
 
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Chandra, A. and Stockmeyer, L. (1984), Constant Depth Reducibility, SIAM Journal on Computing, 13, pp. 423-439.
 
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Furst, M., Saxe, J.B. and Sipser, M. (1984), Parity, Circuits, and the Polynomial Time Hierarchy, Mathematical Systems Theory, 17', pp. 13-28.
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Hinton, G.E. (1987), Connectionist Learning Procedures, CMU-CS-87-115.
 
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Minsky, M. and Papert, S.A. (1969), "Perceptrons", MIT Press, Cambridge, Massachusetts.
 
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Raghavan, P., (1986), Probabilistic Construetion of Deterministic Algorithms: Approximating Packing Integer Programs, in "27th IEEE Symposium on Foundations of Computer Science", pp. 10-18.
 
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Red'kin, N.P. (1973), Proof of Minimality of Circuits consisting of Functional Elements, Problemy Kibernetika, 23, pp. 83-102 (in Russian) (Translation: Systems Theory Research, 23, pp. 85-103.)
 
20
Razborov, A.A. (1986), Lower Bounds on the Size of Bounded Depth Networks over a Complete Basis with Logical Addition, Mathematische Zametki 41 pp. 598-607 (in Russian). English Translation inMathemaLical Notes of the Academy of Sciences of the USSR 41, pp. 333- 338.
 
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Reif, J. (1987), On Threshold Circuits and Polynomial Computations, in "Proceedings of 2nd Structure in Complexity Theory Conference", pp. 118-125.
 
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Siu, K., Roychowdury, V., and Kailath, T. (1990). Computing with Optimal Size Threshold Circuits, Technical Report, Stanford University.
 
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Siu, K.-Y, Bruck, J. and Kailath, T. Depth- Efficient Neural Networks for Division and Related Problems, IEEE Transactions on Information Theory, to appear.
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Vao, A. C-C. (1990), On ACC and Threshold Circuits, in "31st IEEE Symposium on Foundations of Computer Science", pp. 619-627.


Collaborative Colleagues:
Russell Impagliazzo: colleagues
Ramamohan Paturi: colleagues
Michael E. Saks: colleagues

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