Inverse problem for multi-body interaction of nonlinear waves

Abstract The inverse problem is studied in multi-body systems with nonlinear dynamics representing, e.g., phase-locked wave systems, standard multimode and random lasers. Using a general model for four-body interacting complex-valued variables we test two methods based on pseudolikelihood, respectiv...

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Autores principales:	Alessia Marruzzo, Payal Tyagi, Fabrizio Antenucci, Andrea Pagnani, Luca Leuzzi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d276f0427c344c6c85a98c57d390224b
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spelling	oai:doaj.org-article:d276f0427c344c6c85a98c57d390224b2021-12-02T16:08:01ZInverse problem for multi-body interaction of nonlinear waves10.1038/s41598-017-03163-42045-2322https://doaj.org/article/d276f0427c344c6c85a98c57d390224b2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-03163-4https://doaj.org/toc/2045-2322Abstract The inverse problem is studied in multi-body systems with nonlinear dynamics representing, e.g., phase-locked wave systems, standard multimode and random lasers. Using a general model for four-body interacting complex-valued variables we test two methods based on pseudolikelihood, respectively with regularization and with decimation, to determine the coupling constants from sets of measured configurations. We test statistical inference predictions for increasing number of sampled configurations and for an externally tunable temperature-like parameter mimicing real data noise and helping minimization procedures. Analyzed models with phasors and rotors are generalizations of problems of real-valued spherical problems (e.g., density fluctuations), discrete spins (Ising and vectorial Potts) or finite number of states (standard Potts): inference methods presented here can, then, be straightforward applied to a large class of inverse problems. The high versatility of the exposed techniques also concerns the number of expected interactions: results are presented for different graph topologies, ranging from sparse to dense graphs.Alessia MarruzzoPayal TyagiFabrizio AntenucciAndrea PagnaniLuca LeuzziNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Alessia Marruzzo Payal Tyagi Fabrizio Antenucci Andrea Pagnani Luca Leuzzi Inverse problem for multi-body interaction of nonlinear waves
description	Abstract The inverse problem is studied in multi-body systems with nonlinear dynamics representing, e.g., phase-locked wave systems, standard multimode and random lasers. Using a general model for four-body interacting complex-valued variables we test two methods based on pseudolikelihood, respectively with regularization and with decimation, to determine the coupling constants from sets of measured configurations. We test statistical inference predictions for increasing number of sampled configurations and for an externally tunable temperature-like parameter mimicing real data noise and helping minimization procedures. Analyzed models with phasors and rotors are generalizations of problems of real-valued spherical problems (e.g., density fluctuations), discrete spins (Ising and vectorial Potts) or finite number of states (standard Potts): inference methods presented here can, then, be straightforward applied to a large class of inverse problems. The high versatility of the exposed techniques also concerns the number of expected interactions: results are presented for different graph topologies, ranging from sparse to dense graphs.
format	article
author	Alessia Marruzzo Payal Tyagi Fabrizio Antenucci Andrea Pagnani Luca Leuzzi
author_facet	Alessia Marruzzo Payal Tyagi Fabrizio Antenucci Andrea Pagnani Luca Leuzzi
author_sort	Alessia Marruzzo
title	Inverse problem for multi-body interaction of nonlinear waves
title_short	Inverse problem for multi-body interaction of nonlinear waves
title_full	Inverse problem for multi-body interaction of nonlinear waves
title_fullStr	Inverse problem for multi-body interaction of nonlinear waves
title_full_unstemmed	Inverse problem for multi-body interaction of nonlinear waves
title_sort	inverse problem for multi-body interaction of nonlinear waves
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/d276f0427c344c6c85a98c57d390224b
work_keys_str_mv	AT alessiamarruzzo inverseproblemformultibodyinteractionofnonlinearwaves AT payaltyagi inverseproblemformultibodyinteractionofnonlinearwaves AT fabrizioantenucci inverseproblemformultibodyinteractionofnonlinearwaves AT andreapagnani inverseproblemformultibodyinteractionofnonlinearwaves AT lucaleuzzi inverseproblemformultibodyinteractionofnonlinearwaves
_version_	1718384685599424512

Inverse problem for multi-body interaction of nonlinear waves

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