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COMPGEOM
2011
ACM
14 years 9 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
STOC
2003
ACM
193views Algorithms» more  STOC 2003»
16 years 6 months ago
Space efficient dynamic stabbing with fast queries
In dynamic stabbing, we operate on a dynamic set of intervals. A stabbing query asks for an interval containing a given point. This basic problem encodes problems such as method l...
Mikkel Thorup
IDEAL
2005
Springer
15 years 11 months ago
Differential Priors for Elastic Nets
The elastic net and related algorithms, such as generative topographic mapping, are key methods for discretized dimension-reduction problems. At their heart are priors that specify...
Miguel Á. Carreira-Perpiñán, ...
SODA
2010
ACM
187views Algorithms» more  SODA 2010»
16 years 3 months ago
An Improved Competitive Algorithm for Reordering Buffer Management
We design and analyze an on-line reordering buffer management algorithm with improved O log k log log k competitive ratio for non-uniform costs, where k is the buffer size. This i...
Noa Avigdor-Elgrabli, Yuval Rabani
COMPGEOM
2005
ACM
15 years 7 months ago
The skip quadtree: a simple dynamic data structure for multidimensional data
We present a new multi-dimensional data structure, which we call the skip quadtree (for point data in R2) or the skip octree (for point data in Rd, with constant d > 2). Our da...
David Eppstein, Michael T. Goodrich, Jonathan Z. S...