MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  On small depth threshold circuits (1992) [14 citations — 1 self]

Download:
pdf | ps
by Alexander A. Razborov
Proceedings of the 3rd SWAT Scandinavian Workshop on Algorithm Theory, Helsinki, Finland (LNCS 621
http://genesis.mi.ras.ru/~razborov/helsinki.ps
Add To MetaCart

Abstract:

In this talk we will consider various classes defined by small depth polynomial size circuits which contain threshold gates and parity gates. We will describe various inclusions between many classes defined in this way and also classes whose definitions rely upon spectral properties of Boolean functions. 1.

Citations

1390 Introduction to the Theory of Neural Computation – Hertz, Krogh, et al. - 1991
199 Constant depth circuits, Fourier transform, and learnability – Linial, Mansour, et al. - 1993
122 Learning decision trees using the Fourier spectrum – Kushilevitz, Mansour - 1993
118 The Influence of Variables on Boolean Functions – Kahn, Kalai, et al. - 1988
115 Log depth circuits for division and related problems – Beame, Cook, et al. - 1986
106 Constant-depth reducibility – Chandra, Stockmeyer, et al. - 1984
79 Harmonic analysis of polynomial threshold functions,” preprint – Bruck - 1988
68 On the power of small-depth threshold circuits – H˚astad, Goldmann - 1991
66 Majority gates vs. general weighted threshold gates – Goldmann, H˚astad, et al. - 1992
65 On the computational power of sigmoid versus boolean threshold circuits – Maass, Schnitger, et al. - 1991
48 Variation Ranks of Communication Matrices and Lower Bounds for Depth Two Circuits Having Symmetric Gates with Unbounded Fan-In. FOCS 777–782 – Krause, Waack - 1991
34 Polynomial threshold functions, ac functions and spectral norms – Bruck, Smolensky - 1990
21 Explicit constructions of depth-2 majority circuits for comparison and addition – Alon, Bruck - 1991
20 A spectral lower bound technique for the size of decision trees and two-level and-or circuits – Brandman, Orlitsky, et al. - 1990
18 Some notes on threshold circuits and multiplication – Hofmeister, Hohberg, et al. - 1991
18 On the size of weights required for linear-input switching functions – Myhill, Kautz - 1961
15 bounds on the size of bounded-depth networks over a complete basis with logical addition – Lower - 1987
14 Geometric arguments yield better bounds for threshold circuits and distributed computing – Krause - 1991
14 The complexity of computations by networks – Pippenger - 1987
11 A note on a theorem of Razborov – Barrington - 1986