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Learning partial differential equations via data discovery and sparse optimization

We investigate the problem of learning an evolution equation directly from some given data. This work develops a learning algorithm to identify the terms in the underlying partial differential equations and to approximate the coefficients of the terms only using data. The algorithm uses sparse optim...

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Podrobná bibliografie
Vydáno v:Proc Math Phys Eng Sci
Hlavní autor: Schaeffer, Hayden
Médium: Artigo
Jazyk:Inglês
Vydáno: The Royal Society Publishing 2017
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC5312119/
https://ncbi.nlm.nih.gov/pubmed/28265183
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2016.0446
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