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Model reduction, centering, and the Karhunen-Loeve expansion

S. Glavaski, J.E. Marsden, R.M. Murray
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)  
We propose a new computationally efficient modeling method that captures existing translation symmetry in a system. To obtain a low order approximate system of ODEs prior to performing Karhunen Loeve expansion we process the available data set using a "centering" procedure. This approach has been shown to be efficient in nonlinear scalar wave equations.
doi:10.1109/cdc.1998.758639 fatcat:pkzysp226fhhdlmqu7ppymuode