Bartłomiej Polaczyk

Research assistant at University of Warsaw.
Areas of interest: quantitative finance, probability.

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

Papers

P-log-Sobolev inequalities on N,
Electron. J. Probab. 30: 1-19 (2025) ◌ journal, arxiv

With R. Adamczak,
Concen­tration ineq­ualities for some nega­tively depen­dent binary random varia­bles,
ALEA, Lat. Am. J. Probab. Math. Stat. 20, 1283–1314 (2023) ◌ journal, arxiv

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

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

Concen­tration of the empi­rical spectral distri­bution of random matri­ces with depen­dent entries,
Electron. Commun. Probab. 24: 1-15 (2019) ◌ journal, arxiv, poster

With R. Adamczak, M. Kotowski, M. Strzelecki,
A note on concen­tration for poly­nomials in the Ising model,
Electron. J. Probab. 24: 1-22 (2019) ◌ journal, arxiv

Preprints

Concen­tration bounds for sampling without replace­ment and Hoeffding stati­stics,
arxiv

Varia

My PhD thesis is available here.

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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Last modified: March 2025.