Nonlinear data projection on a sphere with a controlled trade-off between trustworthiness and continuity

Onclinx, Victor;Wertz, Vincent;Verleysen, Michel
(2008) 16th European Symposium on Artificial Neural Networks (ESANN 2008) — Location: Bruges (Belgium) (23.April.2008)

Files

147-Nonlineardataprojectiononaspherewithcontrolledtrade-offbetweentrustworthinessandcontinuity.pdf
  • Restricted Access
  • Adobe PDF
  • 966.98 KB
Request a copy

Details

Authors
  • Onclinx, VictorUCLouvain
    Author
  • Wertz, VincentUCLouvain
    Author
  • Verleysen, MichelUCLouvain
    Author
Abstract
This paper presents a nonlinear method aimed to project data on a non-Euclidean manifold, when their structure is too complex to be embedded in an Euclidean space. The method optimizes a pairwise distance criterion that implements a control between trustworthiness and continuity that respectively represent the risks of attening and tearing the projection. The method is illustrated to project data on a sphere, but can be extended to other manifolds such as the torus and the cylinder.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Onclinx, V., Wertz, V., & Verleysen, M. (2008). Nonlinear data projection on a sphere with a controlled trade-off between trustworthiness and continuity. Proceedings of the 16th European Symposium on Artificial Neural Networks (ESANN 2008), p. 43-48. https://hdl.handle.net/2078.5/254176