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» Reeb spaces of piecewise linear mappings
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COMPGEOM
2008
ACM
13 years 7 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
IJBC
2010
105views more  IJBC 2010»
12 years 12 months ago
Calculation of bifurcation Curves by Map Replacement
The complex bifurcation structure in the parameter space of the general piecewise linear scalar map with a single discontinuity - nowadays known as nested period adding structure ...
Viktor Avrutin, Michael Schanz, Laura Gardini
IJBC
2008
85views more  IJBC 2008»
13 years 5 months ago
Center bifurcation for Two-Dimensional Border-Collision Normal Form
In this work we study some properties associated with the bordercollision bifurcations in a two-dimensional piecewise linear map in canonical form, related to the case in which a ...
Iryna Sushko, Laura Gardini
IJRR
2008
139views more  IJRR 2008»
13 years 5 months ago
Learning to Control in Operational Space
One of the most general frameworks for phrasing control problems for complex, redundant robots is operational space control. However, while this framework is of essential importan...
Jan Peters, Stefan Schaal
ICML
2007
IEEE
14 years 6 months ago
A kernel path algorithm for support vector machines
The choice of the kernel function which determines the mapping between the input space and the feature space is of crucial importance to kernel methods. The past few years have se...
Gang Wang, Dit-Yan Yeung, Frederick H. Lochovsky