Cost‐effective global surrogate modeling of planar microwave filters using multi‐fidelity bayesian support vector regression

A computationally efficient method is presented for setting up accurate Bayesian support vector regression (BSVR) models of the highly nonlinear |S21| responses of planar microstrip filters using substantially reduced finely discretized training data (compared to traditional design of experiments techniques). Inexpensive coarse-discretization full-wave simulations are exploited in conjunction with the sparseness property of BSVR to identify the regions of the input space requiring denser sampling. The proposed technique allows for substantial reduction (by up to 51%) of the computational expense necessary to collect the finely discretized training data, with negligible loss in predictive accuracy. The accuracy of the reduced-data BSVR models is confirmed by their use within a space mapping optimization algorithm. © 2013 Wiley Periodicals, Inc. Int J RF and Microwave CAE 24:11–17, 2014.

[1]  S. Koziel,et al.  A Space-Mapping Framework for Engineering Optimization—Theory and Implementation , 2006, IEEE Transactions on Microwave Theory and Techniques.

[2]  Alexander J. Smola,et al.  Learning with Kernels: support vector machines, regularization, optimization, and beyond , 2001, Adaptive computation and machine learning series.

[3]  M.C.E. Yagoub,et al.  A robust algorithm for automatic development of neural network models for microwave applications , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[4]  Slawomir Koziel,et al.  Computational Optimization, Methods and Algorithms , 2016, Computational Optimization, Methods and Algorithms.

[5]  Wei Chu,et al.  Bayesian support vector regression using a unified loss function , 2004, IEEE Transactions on Neural Networks.

[6]  C. Quendo,et al.  Synthesis of capacitive-coupled dual-behavior resonator (CCDBR) filters , 2006, IEEE Transactions on Microwave Theory and Techniques.

[7]  Carl E. Rasmussen,et al.  Gaussian processes for machine learning , 2005, Adaptive computation and machine learning.

[8]  Bo Zhang,et al.  Permittivity Measurement of Ferroelectric Thin Film Based on CPW Transmission Line , 2008 .

[9]  Filiz Güneş,et al.  KNOWLEDGE-BASED SUPPORT VECTOR SYNTHESIS OF THE MICROSTRIP LINES , 2009 .

[10]  Hendrik Rogier,et al.  Surrogate-based infill optimization applied to electromagnetic problems , 2010 .

[11]  Cheng-Ying Hsu,et al.  A simple and effective method for microstrip dual-band filters design , 2006 .

[12]  A. Atiya,et al.  Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond , 2005, IEEE Transactions on Neural Networks.

[13]  Leifur Leifsson,et al.  Surrogate-Based Methods , 2011, Computational Optimization, Methods and Algorithms.

[14]  J. P. Jacobs Bayesian Support Vector Regression With Automatic Relevance Determination Kernel for Modeling of Antenna Input Characteristics , 2012, IEEE Transactions on Antennas and Propagation.

[15]  M. Cacciola,et al.  Microwave Devices and Antennas Modelling by Support Vector Regression Machines , 2006, IEEE Transactions on Magnetics.