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ACS
2007
13 years 8 months ago
A Topologist's View of Chu Spaces
Abstract. For a symmetric monoidal-closed category X and any object K, the category of K-Chu spaces is small-topological over X and small cotopological over Xop . Its full subcateg...
Eraldo Giuli, Walter Tholen
ADCM
2008
136views more  ADCM 2008»
13 years 8 months ago
Learning and approximation by Gaussians on Riemannian manifolds
Learning function relations or understanding structures of data lying in manifolds embedded in huge dimensional Euclidean spaces is an important topic in learning theory. In this ...
Gui-Bo Ye, Ding-Xuan Zhou
APAL
2010
141views more  APAL 2010»
13 years 8 months ago
Locatedness and overt sublocales
Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to ...
Bas Spitters
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 8 months ago
Incremental Sampling-based Algorithms for Optimal Motion Planning
During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs), have been shown to work well in practice and to po...
Sertac Karaman, Emilio Frazzoli
CORR
2008
Springer
101views Education» more  CORR 2008»
13 years 8 months ago
Sublinear Communication Protocols for Multi-Party Pointer Jumping and a Related Lower Bound
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
Joshua Brody, Amit Chakrabarti