Bartłomiej Polaczyk

I was a PhD student under the supervision of Radosław Adamczak and have obtained my PhD in September 2023.

b.polaczykat@mimuw.edu.pl
arXiv ◌ Scholar ◌ ORCID ◌ GitHub

Papers

B. Polaczyk,
P-log-Sobolev inequalities on N,
preprint ◌ arxiv

B. Polaczyk,
Concen­tration bounds for sampling without replace­ment and Hoeffding stati­stics,
preprint ◌ arxiv

R. Adamczak, B. Polaczyk,
Concen­tration ineq­ualities for some nega­tively depen­dent binary random varia­bles,
preprint ◌ arxiv

B. Polaczyk, J. Cyranka,
Improved over­parametri­zation bounds for global conver­gence of stocha­stic gradient descent for shallow neural networks,
Trans. Mach. Learn. Res. (2023). ◌ journal, arxiv

R. Adamczak, B. Polaczyk, M. Strzelecki,
Modified log-Sobolev ineq­ualities, Beckner ineq­ualities and moment esti­mates,
J. Funct. Anal. 282 (2022), no. 7, 109349. ◌ journal, arxiv, talk, slides

B. Polaczyk,
Concen­tration of the empi­rical spectral distri­bution of random matri­ces with depen­dent entries,
Electron. Commun. Probab. 24 (2019), no. 78, 1-15. ◌ journal, arxiv, poster

R. Adamczak, M. Kotowski, B. Polaczyk, M. Strzelecki,
A note on concen­tration for poly­nomials in the Ising model,
Electron. J. Probab. 24 (2019), no. 42, 1-22. ◌ journal, arxiv

Varia

My PhD thesis is available here.

Currently, I'm an inves­tigator in Concen­tration of measure and functional ineq­ualities NCN project.

Here you can find notes that I have taken during Nathael Gozlan's lectures on Optimal trans­port and concen­tration of measure at Warsaw Summer School in Proba­bility 2017.

A novel proof of the Riemann hypo­thesis.

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