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96
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ECCC
2010
124views more  ECCC 2010»
15 years 23 days 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
COLT
1993
Springer
15 years 4 months ago
Lower Bounds on the Vapnik-Chervonenkis Dimension of Multi-Layer Threshold Networks
We consider the problem of learning in multilayer feed-forward networks of linear threshold units. We show that the Vapnik-Chervonenkis dimension of the class of functions that ca...
Peter L. Bartlett
105
Voted
COMGEO
2004
ACM
15 years 16 days ago
A lower bound on the number of triangulations of planar point sets
We show that the number of straight-edge triangulations exhibited by any set of n points in general position in the plane is bounded from below by (2.33n). 2004 Elsevier B.V. All ...
Oswin Aichholzer, Ferran Hurtado, Marc Noy
69
Voted
ICASSP
2008
IEEE
15 years 7 months ago
Approximate lower bounds for rate-distortion in compressive sensing systems
We attempt to quantify the possible gains that can be achieved by examining a rate-distortion competition between a conventional and a compressive sampling solution to data rate r...
Bernard Mulgrew, Michael E. Davies
67
Voted
CORR
2006
Springer
105views Education» more  CORR 2006»
15 years 22 days ago
Cohomology in Grothendieck Topologies and Lower Bounds in Boolean Complexity II: A Simple Example
In a previous paper we have suggested a number of ideas to attack circuit size complexity with cohomology. As a simple example, we take circuits that can only compute the AND of t...
Joel Friedman