Montag, 16. Januar 2023, 16:45 - 17:45 iCal

ISOR Colloquium

"Guarantees for Generative Models without Domination"

Speaker: Arnak Dalalyan (CREST and ENSAE, France)

HS 7 OMP1 (#1.303)
Oskar-Morgenstern-Platz 1, 1090 Wien

Vortrag

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The talk is based on the paper arxiv.org/abs/2010.09237 in which we introduce a convenient framework for studying (adversarial) generative models from a statistical perspective. It consists in modeling the generative device as a smooth transformation of the unit hypercube of a dimension that is much smaller than that of the ambient space. Naturally, the quality of the generative model is measured by means of an integral probability metric. In the particular case of integral probability metric defined through a smoothness class, we establish a risk bound quantifying the role of various parameters. In particular, it clearly shows the impact of dimension reduction on the error of the generative model. The obtained risk bounds are proved to be minimax rate optimal.

 

The talk also can be joined online via our ZOOM MEETING: univienna.zoom.us/j/65646013750

Meeting room opens at: January 16, 2023, 4.30 pm Vienna

Meeting ID: 656 4601 3750

Password: 559670

Zur Webseite der Veranstaltung

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Veranstalter

Institut für Statistik und Operations Research

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Kontakt

Sabine Sobotka-Tompits, BA
Fakultät für Wirtschaftswissenschaften
Institut für Statistik und Operations Research
+43 1 4277 38631
sabine.sobotka-tompits@univie.ac.at

Erstellt am Dienstag, 06. Dezember 2022, 11:24
Letzte Änderung am Montag, 12. Dezember 2022, 07:44