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Tensor PCA
Multi angle
Authors : Ben Arous, Gérard (Author of the conference)
CIRM (Publisher )
62F10 - Point estimation
CIRM (Publisher )
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Abstract :
I will survey here the recent rich line of works on the statistical problem of Tensor PCA. How hard is it to denoise a (small-rank) tensor in high dimension? I will discuss the natural thresholds obtained from the point of view of Information Theory, Statistics and Optimization.
Keywords : tensor estimation
MSC Codes : Keywords : tensor estimation
62F10 - Point estimation
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/03/2022 Conference Date : 15/03/2022 Subseries : Research talks arXiv category : Statistics Theory Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 01:05:21 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2022-03-15_Aroux.mp4 
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Information on the Event
Event Title : Random Tensors / Tenseurs aléatoiresEvent Organizers : Dartois, Stéphane ; De las Cuevas, Gemma ; Lancien, Cécilia ; Lionni, Luca ; Nechita, Ion Dates : 14/03/2022 - 18/03/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2541.html
Citation Data
DOI : 10.24350/CIRM.V.19896303Cite this video as: Ben Arous, Gérard (2022). Tensor PCA. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19896303 URI : http://dx.doi.org/10.24350/CIRM.V.19896303 |
See Also
- [Multi angle] Tensor networks for quantum many-body systems - lecture 2 / Author of the conference Bañuls, Mari Carmen.
- [Multi angle] The tensor Harish-Chandra-Itzykson-Zuber integral / Author of the conference Gurău, Răzvan.
- [Multi angle] Tensor networks for quantum many-body systems - lecture 1 / Author of the conference Bañuls, Mari Carmen.
- [Multi angle] Asymptotic tensor powers of Banach spaces / Author of the conference Aubrun, Guillaume.
- [Multi angle] Approximation and learning with tree tensor networks - lecture 2 / Author of the conference Nouy, Anthony.
Bibliography
Imagette Video
