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COMPGEOM
2005
ACM
14 years 23 days ago
Incidences of not-too-degenerate hyperplanes
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...
György Elekes, Csaba D. Tóth
ESANN
2000
14 years 4 days ago
A new information criterion for the selection of subspace models
The problem of model selection is considerably important for acquiring higher levels of generalization capability in supervised learning. In this paper, we propose a new criterion ...
Masashi Sugiyama, Hidemitsu Ogawa
COMBINATORICS
2006
102views more  COMBINATORICS 2006»
13 years 10 months ago
Identifying X-Trees with Few Characters
Previous work has shown the perhaps surprising result that, for any binary phylogenetic tree T , there is a set of four characters that define T . Here we deal with the general ca...
Magnus Bordewich, Charles Semple, Mike A. Steel
ECCC
2006
96views more  ECCC 2006»
13 years 10 months ago
An Unconditional Study of Computational Zero Knowledge
We prove a number of general theorems about ZK, the class of problems possessing (computational) zero knowledge proofs. Our results are unconditional, in contrast to most previous...
Salil P. Vadhan
MOR
2006
123views more  MOR 2006»
13 years 10 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...