Invariant variational principles for finite mixture model interpolation

Ravi C. Venkatesan

doi:10.1117/12.452682

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20 December 2001 Invariant variational principles for finite mixture model interpolation

Ravi C. Venkatesan

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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.

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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