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dc.contributor.author
Fichtner, Andreas
dc.contributor.author
Zunino, Andrea
dc.date.accessioned
2019-02-15T14:51:28Z
dc.date.available
2019-01-29T13:08:27Z
dc.date.available
2019-02-15T14:51:28Z
dc.date.issued
2019-01-28
dc.identifier.other
10.1029/2018GL080931
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/320892
dc.identifier.doi
10.3929/ethz-b-000320892
dc.description.abstract
We present a method to explore the effective nullspace of nonlinear inverse problems without Monte Carlo sampling. This is based on the construction of an artificial Hamiltonian system where a model is treated as a high‐dimensional particle. Depending on its initial momentum and mass matrix, the particle evolves along a trajectory that traverses the effective nullspace, thereby producing a series of alternative models that are consistent with observations and their uncertainties. Variants of the nullspace shuttle enable hypothesis testing, for example, by adding features or by producing smoother or rougher models. Furthermore, the Hamiltonian nullspace shuttle can serve as a tunable hybrid between deterministic and probabilistic inversion methods: Choosing random initial momenta, it resembles Hamiltonian Monte Carlo; requiring misfits to decrease along a trajectory, it transforms into gradient descent. We illustrate the concept with a low‐dimensional toy example and with high‐dimensional nonlinear inversions of seismic traveltimes and magnetic data, respectively.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Wiley
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title
Hamiltonian Nullspace Shuttles
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2018-12-27
ethz.journal.title
Geophysical Research Letters
ethz.journal.volume
46
en_US
ethz.journal.issue
2
en_US
ethz.pages.start
644
en_US
ethz.pages.end
651
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Hoboken, NJ
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02330 - Dep. Erdwissenschaften / Dep. of Earth Sciences::02506 - Institut für Geophysik / Institute of Geophysics::03971 - Fichtner, Andreas / Fichtner, Andreas
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02330 - Dep. Erdwissenschaften / Dep. of Earth Sciences::02506 - Institut für Geophysik / Institute of Geophysics::03971 - Fichtner, Andreas / Fichtner, Andreas
en_US
ethz.date.deposited
2019-01-29T13:08:29Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-02-15T14:51:39Z
ethz.rosetta.lastUpdated
2019-02-15T14:51:39Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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