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...
— 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...
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...
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...
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...