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pro vyhledávání: '"Miller, Scott T"'
Autor:
Choudhary, Anshul, Lindner, John F., Holliday, Elliott G., Miller, Scott T., Sinha, Sudeshna, Ditto, William L.
Conventional neural networks are universal function approximators, but because they are unaware of underlying symmetries or physical laws, they may need impractically many training data to approximate nonlinear dynamics. Recently introduced Hamiltoni
Externí odkaz:
http://arxiv.org/abs/2010.15201
We detail how incorporating physics into neural network design can significantly improve the learning and forecasting of dynamical systems, even nonlinear systems of many dimensions. A map building perspective elucidates the superiority of Hamiltonia
Externí odkaz:
http://arxiv.org/abs/2008.04214
Autor:
Choudhary, Anshul, Lindner, John F., Holliday, Elliott G., Miller, Scott T., Sinha, Sudeshna, Ditto, William L.
Publikováno v:
Phys. Rev. E 101, 062207 (2020)
Conventional artificial neural networks are powerful tools in science and industry, but they can fail when applied to nonlinear systems where order and chaos coexist. We use neural networks that incorporate the structures and symmetries of Hamiltonia
Externí odkaz:
http://arxiv.org/abs/1912.01958
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 January 2023 403 Part A
Autor:
Costanzo, Francesco, Miller, Scott T.
A finite element formulation is developed for a poroelastic medium consisting of an incompressible hyperelastic skeleton saturated by an incompressible fluid. The governing equations stem from mixture theory and the application is motivated by the st
Externí odkaz:
http://arxiv.org/abs/1610.00079
Publikováno v:
In Mechanical Systems and Signal Processing 15 February 2021 149
Autor:
Miller, Scott T.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
Source: Dissertation Abstracts International, Volume: 70-06, Section: B, page: 3751. Adviser: Robert Haber. Includes bibliographical references. Available on microfilm from Pro Qu
Source: Dissertation Abstracts International, Volume: 70-06, Section: B, page: 3751. Adviser: Robert Haber. Includes bibliographical references. Available on microfilm from Pro Qu
Publikováno v:
In Chaos, Solitons & Fractals: X March 2020 5
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 March 2019 345:323-335
The Hetu'u Global Network: Measuring the Distance to the Sun Using the June 5th/6th Transit of Venus
In the spirit of historic astronomical endeavors, we invited school groups across the globe to collaborate in a solar distance measurement using the rare June 5/6th transit of Venus. In total, we recruited 19 school groups spread over 6 continents an
Externí odkaz:
http://arxiv.org/abs/1210.0873