Iterative Optimization

2007 ◽  
pp. 183-190
Keyword(s):  
Iterative Optimization

Evaluation of Pettys Nonlinear Model in Wood Permeability Measurement

Holzforschung ◽  
2001 ◽  
Vol 55 (1) ◽  
pp. 82-86
Author(s):  
J. Lu ◽  
F. Bao ◽  
Y. Zhao
Keyword(s):  
Nonlinear Model ◽  
Gas Permeability ◽  
Optimization Algorithms ◽  
Optimization Techniques ◽  
Curvilinear Relationship ◽  
Grid Search ◽  
Permeability Measurement ◽  
Iterative Optimization ◽  
Starting Values ◽  
Least Squares Fit

Summary To calculate the effective radii of two conductive elements in series in wood specimens by using the gas permeability measurement, the four parameters from the curvilinear relationship of superficial specific permeability against reciprocal mean pressure as illustrated in Petty's model must be evaluated. This paper describes a detailed procedure for obtaining such parameters by using the least-squares fit calculated from a statistical analysis system (SAS) program. Three different iterative optimization algorithms and starting points were used separately to fit the Petty's nonlinear model based on the same experimental data from one specimen of birch. The estimate of the parameters: A = 35.38 darcy, B = 80.51 darcy, l = 0.19 darcy atm, m = 6.34 darcy atm was recommended for the fitted model. Compared to the results on the estimate of parameters obtained in the previous papers, this estimate for the parameters was a global minimum, thus it was a refinement and more accurate. Since the Gauss-Newton method resulted in almost the same convergence results for all the three sets of starting values with the least iterations in the evaluation, it was the preferred optimization algorithm both for simplicity and accuracy in solving the Petty's model. Because the same solutions for all three iterative optimization algorithms were obtained by using two different sets of starting points produced from the grid search, a grid search seemed to be very helpful for finding reasonable starting values for various iterative optimization techniques.

Performance Assessment of Linear Iterative Optimization Technology (IOT) for Raman Chemical Mapping of Pharmaceutical Tablets

2021 ◽  
pp. 114305
Author(s):  
Shashwat Gupta ◽  
Andrés D. Román-Ospino ◽  
Yukteshwar Baranwal ◽  
Douglas Hausner ◽  
Rohit Ramachandran ◽  
...  
Keyword(s):  
Performance Assessment ◽  
Chemical Mapping ◽  
Pharmaceutical Tablets ◽  
Iterative Optimization

Image entropy as a metric for iterative optimization of large aberrations

2005 ◽  
Author(s):  
Matthew B. Garvin ◽  
Mark T. Gruneisen ◽  
Raymond C. Dymale ◽  
James R. Rotge
Keyword(s):  
Iterative Optimization ◽  
Image Entropy
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