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» On Learning Monotone Boolean Functions
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COCOON
2009
Springer
15 years 11 months ago
On the Readability of Monotone Boolean Formulae
Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
141
Voted
ECCC
2010
124views more  ECCC 2010»
15 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
ECCC
2008
93views more  ECCC 2008»
15 years 4 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
138
Voted
CCCG
2010
15 years 6 months ago
Any monotone boolean function can be realized by interlocked polygons
We show how to construct interlocked collections of simple polygons in the plane that fall apart upon removing certain combinations of pieces. Precisely, interiordisjoint simple p...
Erik D. Demaine, Martin L. Demaine, Ryuhei Uehara
130
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ISAAC
2004
Springer
105views Algorithms» more  ISAAC 2004»
15 years 10 months ago
On the Monotone Circuit Complexity of Quadratic Boolean Functions
Kazuyuki Amano, Akira Maruoka