Invariant variational principles for finite mixture model interpolation

Ravi C. Venkatesan

doi:10.1117/12.452682

20 December 2001 Invariant variational principles for finite mixture model interpolation

Ravi C. Venkatesan

Proceedings Volume 4672, Internet Imaging III; (2001) https://doi.org/10.1117/12.452682
Event: Electronic Imaging, 2002, San Jose, California, United States

Abstract

The strategy for a self-consistent procedure for deriving invariance preserving cost functions using the Extreme Physical Information theory is outlined. The self-adjoint invariant EPI solutions are obtained by minimizing the constrained EPI cost function is with respect to the Lie derivative (Noether's theorem). The undetermined quantities are specified in a manner so as to satisfy the Helmholtz condition. To provide for an example, the case of model-based interpolation of high dimensional data, approximated by clusters is discussed.

Citation Download Citation

Ravi C. Venkatesan "Invariant variational principles for finite mixture model interpolation", Proc. SPIE 4672, Internet Imaging III, (20 December 2001); https://doi.org/10.1117/12.452682

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