Convex restrictions in physical design

Abstract In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field variables. This form occurs for photonic design with real sc...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Guillermo Angeris, Jelena Vučković, Stephen Boyd
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b2f3ee47a69f4e5f90d08f3e27fe2737
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b2f3ee47a69f4e5f90d08f3e27fe2737
record_format	dspace
spelling	oai:doaj.org-article:b2f3ee47a69f4e5f90d08f3e27fe27372021-12-02T17:12:17ZConvex restrictions in physical design10.1038/s41598-021-92451-12045-2322https://doaj.org/article/b2f3ee47a69f4e5f90d08f3e27fe27372021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-92451-1https://doaj.org/toc/2045-2322Abstract In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field variables. This form occurs for photonic design with real scalar fields, diffusion-type systems, and others. We show that such problems can be reduced to a convex optimization problem, and therefore efficiently solved globally, given the sign of an optimal field at every point. This observation suggests a heuristic, in which the signs of the field are iteratively updated. This heuristic appears to have good practical performance on diffusion-type problems (including thermal design and resistive circuit design) and some control problems, while exhibiting moderate performance on photonic design problems. We also show in many practical cases there exist globally optimal designs whose design parameters are maximized or minimized at each point in the domain, i.e., that there is a discrete globally optimal structure.Guillermo AngerisJelena VučkovićStephen BoydNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Guillermo Angeris Jelena Vučković Stephen Boyd Convex restrictions in physical design
description	Abstract In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field variables. This form occurs for photonic design with real scalar fields, diffusion-type systems, and others. We show that such problems can be reduced to a convex optimization problem, and therefore efficiently solved globally, given the sign of an optimal field at every point. This observation suggests a heuristic, in which the signs of the field are iteratively updated. This heuristic appears to have good practical performance on diffusion-type problems (including thermal design and resistive circuit design) and some control problems, while exhibiting moderate performance on photonic design problems. We also show in many practical cases there exist globally optimal designs whose design parameters are maximized or minimized at each point in the domain, i.e., that there is a discrete globally optimal structure.
format	article
author	Guillermo Angeris Jelena Vučković Stephen Boyd
author_facet	Guillermo Angeris Jelena Vučković Stephen Boyd
author_sort	Guillermo Angeris
title	Convex restrictions in physical design
title_short	Convex restrictions in physical design
title_full	Convex restrictions in physical design
title_fullStr	Convex restrictions in physical design
title_full_unstemmed	Convex restrictions in physical design
title_sort	convex restrictions in physical design
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/b2f3ee47a69f4e5f90d08f3e27fe2737
work_keys_str_mv	AT guillermoangeris convexrestrictionsinphysicaldesign AT jelenavuckovic convexrestrictionsinphysicaldesign AT stephenboyd convexrestrictionsinphysicaldesign
_version_	1718381456559964160

Convex restrictions in physical design

Ejemplares similares