Journal ArticleDOI
Space mapping: the state of the art
John W. Bandler,Qingsha S. Cheng,S.A. Dakroury,Ahmed S.A. Mohamed,Mohamed H. Bakr,Kaj Madsen,Jacob Søndergaard +6 more
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TLDR
For the first time, a mathematical motivation is presented and SM is placed into the context of classical optimization to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations.Abstract:
We review the space-mapping (SM) technique and the SM-based surrogate (modeling) concept and their applications in engineering design optimization. For the first time, we present a mathematical motivation and place SM into the context of classical optimization. The aim of SM is to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations. SM procedures iteratively update and optimize surrogates based on a fast physically based "coarse" model. Proposed approaches to SM-based optimization include the original algorithm, the Broyden-based aggressive SM algorithm, various trust-region approaches, neural SM, and implicit SM. Parameter extraction is an essential SM subproblem. It is used to align the surrogate (enhanced coarse model) with the fine model. Different approaches to enhance uniqueness are suggested, including the recent gradient parameter-extraction approach. Novel physical illustrations are presented, including the cheese-cutting and wedge-cutting problems. Significant practical applications are reviewed.read more
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Journal ArticleDOI
Recent advances in surrogate-based optimization
TL;DR: The present state of the art of constructing surrogate models and their use in optimization strategies is reviewed and extensive use of pictorial examples are made to give guidance as to each method's strengths and weaknesses.
Journal ArticleDOI
Review of surrogate modeling in water resources
TL;DR: Two broad families of surrogates namely response surface surrogates, which are statistical or empirical data‐driven models emulating the high‐fidelity model responses, and lower‐f fidelity physically based surrogates which are simplified models of the original system are detailed in this paper.
Journal ArticleDOI
Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions
Songqing Shan,Gongming Wang +1 more
TL;DR: A survey on related modeling and optimization strategies that may help to solve High-dimensional, Expensive (computationally), Black-box (HEB) problems and two promising approaches are identified to solve HEB problems.
Journal ArticleDOI
Metamodeling in Multidisciplinary Design Optimization: How Far Have We Really Come?
TL;DR: The extent to which the use of metamodeling techniques inmultidisciplinary design optimization have evolved in the 25 years since the seminal paper on design and analysis of computer experiments is addressed.
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Space mapping
TL;DR: A generic space-mapping optimization algorithm is formulated, explained step-by-step using a simple microstrip filter example, and its robustness is demonstrated through the fast design of an interdigital filter.
References
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Journal ArticleDOI
Space mapping optimization of microwave circuits exploiting surrogate models
TL;DR: A powerful new Aggressive Space Mapping (ASM) optimization algorithm is presented in this paper, which draws upon recent developments in both surrogate-based optimization and microwave device neuromodeling.
Journal ArticleDOI
A generalized space-mapping tableau approach to device modeling
TL;DR: A comprehensive framework to engineering device modeling, which is called generalized space mapping (GSM) is introduced, and four examples of microstrip line, a microstrip right-angle bend, amicrostrip step junction, and a micro Strip shaped T-junction are presented, yielding remarkable improvement within regions of interest.
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A constraint mapping approach to the structural optimization of an expensive model using surrogates (in special issue on surrogate modelling and space mapping for engineering optimization)
TL;DR: Approaches are described whereby the coarse model constraints are mapped so that the mapped constraints more faithfully approximate the fine model constraints.
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Exact Theory of Interdigital Band-Pass Filters and Related Coupled Band-Pass Structures
TL;DR: In this article, an exact theory of interdigital line networks and related coupled structures is presented, and the derivation of exact equivalent circuits from the impedance matrix using modem network synthesis techniques is discussed.
Journal ArticleDOI
A hybrid aggressive space-mapping algorithm for EM optimization
TL;DR: HASM is a hybrid approach exploiting both the trust region aggressive space mapping algorithm and direct optimization, based on a novel lemma that enables smooth switching from the TRASM optimization to direct optimization and vice versa.