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dc.contributor.author
Ortelli, Francesco
dc.contributor.author
van de Geer, Sara
dc.date.accessioned
2021-02-10T14:47:34Z
dc.date.available
2020-12-17T08:54:16Z
dc.date.available
2021-02-10T14:47:34Z
dc.date.issued
2019-01-18
dc.identifier.uri
http://hdl.handle.net/20.500.11850/456782
dc.description.abstract
We generalize the bridge between analysis and synthesis estimators by Elad, Milanfar and Rubinstein (2007) to rank deficient cases. This is a starting point for the study of the connection between analysis and synthesis for total variation regularized estimators. In particular, the case of first order total variation regularized estimators over general graphs and their synthesis form are studied. We give a definition of the discrete graph derivative operator based on the notion of line graph and provide examples of the synthesis form of $k^{\text{th}}$ order total variation regularized estimators over a range of graphs.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.subject
Total variation regularization
en_US
dc.subject
Lasso
en_US
dc.subject
Cycle graph
en_US
dc.subject
Analysis
en_US
dc.subject
Synthesis
en_US
dc.subject
Dictionary
en_US
dc.subject
Sparsity
en_US
dc.subject
Trend filtering
en_US
dc.subject
Symmetry
en_US
dc.title
Synthesis and analysis in total variation regularization
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
1901.06418
en_US
ethz.size
41 p.
en_US
ethz.identifier.arxiv
1901.06418
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02537 - Seminar für Statistik (SfS) / Seminar for Statistics (SfS)::03717 - van de Geer, Sara (emeritus) / van de Geer, Sara (emeritus)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02537 - Seminar für Statistik (SfS) / Seminar for Statistics (SfS)::03717 - van de Geer, Sara (emeritus) / van de Geer, Sara (emeritus)
en_US
ethz.identifier.orcidWorkCode
84795596
ethz.date.deposited
2020-12-17T08:54:27Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-02-10T14:47:44Z
ethz.rosetta.lastUpdated
2024-02-02T13:04:41Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Synthesis%20and%20analysis%20in%20total%20variation%20regularization&rft.jtitle=arXiv&rft.date=2019-01-18&rft.spage=1901.06418&rft.au=Ortelli,%20Francesco&van%20de%20Geer,%20Sara&rft.genre=preprint&
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