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» The Size and Depth of Layered Boolean Circuits
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ECCC
2010
124views more  ECCC 2010»
13 years 5 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
STOC
1993
ACM
141views Algorithms» more  STOC 1993»
13 years 9 months ago
Bounds for the computational power and learning complexity of analog neural nets
Abstract. It is shown that high-order feedforward neural nets of constant depth with piecewisepolynomial activation functions and arbitrary real weights can be simulated for Boolea...
Wolfgang Maass
FOCS
2009
IEEE
14 years 3 days ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson
DAC
2008
ACM
14 years 6 months ago
The synthesis of robust polynomial arithmetic with stochastic logic
As integrated circuit technology plumbs ever greater depths in the scaling of feature sizes, maintaining the paradigm of deterministic Boolean computation is increasingly challeng...
Weikang Qian, Marc D. Riedel