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STOC
2003
ACM
117views Algorithms» more  STOC 2003»
14 years 11 months ago
Distinct distances in three and higher dimensions
Improving an old result of Clarkson et al., we show that the number of distinct distances determined by a set P of n points in three-dimensional space is (n77/141) = (n0.546 ), fo...
Boris Aronov, János Pach, Micha Sharir, G&a...
CEC
2009
IEEE
14 years 6 months ago
Evolving coordinated quadruped gaits with the HyperNEAT generative encoding
— Legged robots show promise for complex mobility tasks, such as navigating rough terrain, but the design of their control software is both challenging and laborious. Traditional...
Jeff Clune, Benjamin E. Beckmann, Charles Ofria, R...
WADS
2009
Springer
291views Algorithms» more  WADS 2009»
14 years 5 months ago
On the Power of the Semi-Separated Pair Decomposition
Abstract. A Semi-Separated Pair Decomposition (SSPD), with parameter s > 1, of a set S ⊂ Rd is a set {(Ai, Bi)} of pairs of subsets of S such that for each i, there are balls ...
Mohammad Ali Abam, Paz Carmi, Mohammad Farshi, Mic...
COMPGEOM
2009
ACM
14 years 5 months ago
Proximity of persistence modules and their diagrams
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Frédéric Chazal, David Cohen-Steiner...
FGR
2008
IEEE
180views Biometrics» more  FGR 2008»
14 years 5 months ago
Image-set matching using a geodesic distance and cohort normalization
An image-set based face recognition algorithm is proposed that exploits the full geometrical interpretation of Canonical Correlation Analysis (CCA). CCA maximizes the correlation ...
Yui Man Lui, J. Ross Beveridge, Bruce A. Draper, M...