Upper bound on the injective norm of sums of Gaussian random tensors via the PAC Bayesian lemma (after I.Aden-Ali)

Prelegent(ci)

Rafał Latała

Afiliacja

University of Warsaw

Język referatu

angielski

Termin

3 kwietnia 2025 12:15

Pokój

p. 3160

Tytuł w języku polskim

Upper bound on the injective norm of sums of Gaussian random tensors via the PAC Bayesian lemma (after I.Aden-Ali)

Seminarium

Seminarium Zakładu Rachunku Prawdopodobieństwa

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We will discuss a recent result of Ishaq Aden-Ali (On the Injective Norm of Sums of Random Tensors and the Moments of Gaussian Chaoses, arXiv:2503.10580) and show how
the PAC-Bayesian lemma (a simple consequence of the Donsker Varadhan variational formula) could be applied to get an upper estimate on the expected  injective norm of sums of subgaussian random tensors. As a corollary we will present a simpler argument to derive (upper) bound on moments of Gaussian chaoses.

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