Modeling the structure of multivariate manifolds: Shape maps

@article{Langs2008ModelingTS,
  title={Modeling the structure of multivariate manifolds: Shape maps},
  author={Georg Langs and Nikos Paragios},
  journal={2008 IEEE Conference on Computer Vision and Pattern Recognition},
  year={2008},
  pages={1-8}
}
We propose a shape population metric that reflects the interdependencies between points observed in a set of examples. It provides a notion of topology for shape and appearance models that represents the behavior of individual observations in a metric space, in which distances between points correspond to their joint modeling properties. A Markov chain is learnt using the description lengths of models that describe sub sets of the entire data. The according diffusion map or shape map provides… CONTINUE READING
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