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Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03886199v1

Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

About this item

Full title

Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Mathematical programming, 2023-03, Vol.198 (1), p.937-996

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

We provide a comprehensive study of the convergence of the forward-backward algorithm under suitable geometric conditions, such as conditioning or Łojasiewicz properties. These geometrical notions are usually local by nature, and may fail to describe the fine geometry of objective functions relevant in inverse problems and signal processing, that h...

Alternative Titles

Full title

Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_hal_primary_oai_HAL_hal_03886199v1

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_03886199v1

Other Identifiers

ISSN

0025-5610

E-ISSN

1436-4646

DOI

10.1007/s10107-022-01809-4

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