Methods for optimizing system models and the like using...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Reexamination Certificate

active

07962318

ABSTRACT:
Methods are provided for fitting a curve to a set of data values using a least absolute value (LAV) cost function. The set of data values may comprise m sets of data values. The method takes advantage of contraction mapping to determine a number n<m of individual equations which are interpolated by the curve to be fitted, where n corresponds to the number of parameters x1, x2, . . . , xnto be ascertained for the curve to be fitted. The method then involves solving the n selected equations to determine the n parameters x1, x2, . . . , xnof the curve to be fitted. Selection of these parameters ensures that the curve to be fitted minimizes the LAV cost function.

REFERENCES:
patent: 6408109 (2002-06-01), Silver et al.
Sklar, Michael G. and Armstrong, Ronald D,Least absolute value and chebychev estimation utilizing least squares results, 1982, Springer Berlin / Heidelberg, vol. 24, No. 1, pp. 346-352.
Soliman et al., “A New Algorithm for Nonlinear L1-norm Minimization with Nonlinear Equality Constraints”, Computational Statistics & Data Analysis, vol. 11, 1991, pp. 97-109.
Soliman et al., “A New Technique for Curve Fitting based on Minimum Absolute Deviations”, Computational Statistics & Data Analysis, vol. 6, 1988, pp. 341-351.
Christensen et al., “Discussion of ‘An Example Showing that a New Technique for LAV Estimation Breaks Down in Certain Cases’”, Computational Statistics & Data Analysis, vol. 9, 1990, pp. 203-213.
Christensen et al., “Optimal Filtering of Linear Discrete Dynamic Systems based on Least Absolute Value Approximations” Automatica, No. 2, 1990, pp. 389-395.
Barrodale et al., “An Improved Algorithm for Discrete L1 Linear Approximation”, Siam Journal on Numerical Analysis, vol. 10, No. 5, 1973, pp. 839-848.
Kotiuga et al., “Bad Data Rejection Properties of Weighted Least Absolute Value Techniques Applied to Static State Estimation”, IEEE Transactions on Power Apparatus and Systems, vol. PAS-101 No. 4, 1982, pp. 844-853.
D. Nelson, The Penguin Dictionary of Mathematics, Third Edition, Penguin Books, New York, 2003, p. 362.
Mili et al., “Least Median of Squares Estimation in Power Systems”, IEEE Transactions on Power Systems, vol. 6, No. 2, 1991, pp. 511-523.
Mili et al., “A Robust Estimation Method for Topology Error Identification”, IEEE Transactions on Power Systems, vol. 14, No. 4, Nov. 1999, pp. 1469-1476.
K.M.M El-Naggar, “Estimation of Harmonics in Electrical Power Systems”, Ph.D. Thesis, Department of Electrical Engineering, University of Alberta, Apr. 16, 1992, Ph.D. Supervisor: G.S. Christensen, 227 Pages.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Methods for optimizing system models and the like using... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Methods for optimizing system models and the like using..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Methods for optimizing system models and the like using... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-2670724

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.