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Phase retrieval in infinite dimensions

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Post-edited
Authors : Daubechies, Ingrid (Author of the conference)
CIRM (Publisher )

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traditional phase retrieval iterative algorithms compressed sensing metrics completion frames frames of coherent states phase retrieval injectivity complement property stability absence of stability in infinite dimensions finite dimensional approximation - restoring stability example of Thakur very bad constants stability and instability for phase retrieval for coherent state expansions questions of the audience
Abstract : Retrieving an arbitrary signal from the magnitudes of its inner products with the elements of a frame is not possible in infinite dimensions. Under certain conditions, signals can be retrieved satisfactorily however.

MSC Codes :
42C15 - General harmonic expansions, frames
 46C05 - Hilbert and pre-Hilbert spaces: geometry and topology
 94A12 - Signal theory (characterization, reconstruction, filtering, etc.)
 94A15 - General topics on information theory
 94A20 - Sampling theory
    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 23/11/2016
    Conference Date : 15/11/2016
    Subseries : Research talks
    arXiv category : Functional Analysis ; Mathematical Physics
    Mathematical Area(s) : Analysis and its Applications ; Mathematical Physics
    Format : MP4 (.mp4) - HD
    Video Time : 00:51:14
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2016-11-15_Daubechies.mp4
Information on the Event

Event Title : Coherent states and their applications: a contemporary panorama / Etats cohérents et leurs applications : un panorama contemporain
Event Organizers : Antoine, Jean-Pierre ; Bagarello, Fabio ; Gazeau, Jean-Pierre ; Ali, Syed Twareque
Dates : 14/11/2016 - 18/11/2016
Event Year : 2016
Event URL : http://conferences.cirm-math.fr/1461.html

Citation Data

DOI : 10.24350/CIRM.V.19089403
Cite this video as: Daubechies, Ingrid (2016). Phase retrieval in infinite dimensions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19089403
URI : http://dx.doi.org/10.24350/CIRM.V.19089403

See Also

Bibliography

  • Alaifari, R., Daubechies, I., Grohs, P., Yin, R. (2016). Stable phase retrieval in infinite dimensions. - https://arxiv.org/abs/1609.00034

  • Cahill, J., Casazza, P.G., & Daubechies, I. (2016). Phase retrieval in infinite-dimensional Hilbert spaces. Transactions of the American Mathematical Society Series B, 3, 63-76 - http://dx.doi.org/10.1090/btran/12


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