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• W3100890206 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 {em 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." @default.
• W3100890206 created "2020-11-23" @default.
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• W3100890206 date "2017-06-14" @default.
• W3100890206 modified "2023-09-24" @default.
• W3100890206 title "Inverse problem for multi-body interaction of nonlinear waves" @default.
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• W3100890206 doi "https://doi.org/10.1038/s41598-017-03163-4" @default.
• W3100890206 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5471250" @default.
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