Marta Strzelecka

activity

20152026

most citedComparison of weak and strong moments for vectors with independent coordinates

13 citations · 32 across the 11 of their papers we have counts for

collaborators

12 papers

math.ST2026

Benign Overfitting Property of the Minimum $ℓ_{q}$ -norm Interpolant Estimator in Regression Problem via Feature Space Decomposition

Radosław Adamczak, Guillaume Lecué, Zong Shang +1

This paper establishes high-probability, non-asymptotic upper bounds for the population excess risk of minimum $ℓ_{q}$ -norm interpolating estimators in linear regression, valid fo…

math.PR2025

Operator $ℓ_{p} \to ℓ_{q}$ norms of Gaussian matrices

Rafał Latała, Marta Strzelecka

We confirm the conjecture posed by Guédon, Hinrichs, Litvak, and Prochno in 2017 that $E ∥ (a_{ij} g_{ij})_{i \leq m, j \leq n} : ℓ_{p}^{n} \to ℓ_{q}^{m} ∥$ is comparable, up…

math.PR2024★ 1 cited

Operator $ℓ_{p} \to ℓ_{q}$ norms of random matrices with iid entries

Rafał Latała, Marta Strzelecka

We prove that for every $p, q \in [1, \infty]$ and every random matrix $X = (X_{i, j})_{i \leq m, j \leq n}$ with iid centered entries satisfying the regularity assumption $\|X_{i,j}\|_{2ρ} \…

math.PR2023★ 1 cited

Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums

Joscha Prochno, Marta Strzelecka

Classical works of Kac, Salem and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of inde…

math.PR2023★ 3 cited

Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices

Rafał Latała, Marta Strzelecka

We prove two-sided Chevet-type inequalities for independent symmetric Weibull random variables with shape parameter $r \in [1, 2]$ . We apply them to provide two-sided estimates for op…

math.PR2021

Norms of structured random matrices

Radosław Adamczak, Joscha Prochno, Marta Strzelecka +1

For $m, n \in N$ let $X = (X_{ij})_{i \leq m, j \leq n}$ be a random matrix, $A = (a_{ij})_{i \leq m, j \leq n}$ a real deterministic matrix, and $X_{A} = (a_{ij} X_{ij})_{i \leq m, j \leq n}$ …

math.PR2019

Estimates of norms of log-concave random matrices with dependent entries

Marta Strzelecka

We prove estimates for $E ∥ X : ℓ_{p^{'}}^{n} \to ℓ_{q}^{m} ∥$ for $p, q \geq 2$ and any random matrix $X$ having the entries of the form $a_{ij} Y_{ij}$ , where $Y=(Y_{ij})_{1\le…

math.PR2019★ 1 cited

Two-sided estimates for order statistics of log-concave random vectors

Rafał Latała, Marta Strzelecka

We establish two-sided bounds for expectations of order statistics ( $k$ -th maxima) of moduli of coordinates of centered log-concave random vectors with uncorrelated coordinates. Ou…

math.PR2017★ 5 cited

On the convex infimum convolution inequality with optimal cost function

Marta Strzelecka, Michał Strzelecki, Tomasz Tkocz

We show that every symmetric random variable with log-concave tails satisfies the convex infimum convolution inequality with an optimal cost function (up to scaling). As a result,…

math.PR2016★ 13 cited

Comparison of weak and strong moments for vectors with independent coordinates

Rafał Latała, Marta Strzelecka

We show that for $p \geq 1$ , the $p$ -th moment of suprema of linear combinations of independent centered random variables are comparable with the sum of the first moment and the weak…

math.PR2016★ 2 cited

Isoperimetric problem for exponential measure on the plane with l_1-metric

Marta Strzelecka

We give a solution to the isoperimetric problem for the exponential measure on the plane with the $ℓ_{1}$ -metric. As it turns out, among all sets of a given measure, the simplex o…

math.PR2015★ 6 cited

Weak and strong moments of l_r-norms of log-concave vectors

Rafał Latała, Marta Strzelecka

We show that for $p \geq 1$ and $r \geq 1$ the $p$ -th moment of the $l_{r}$ -norm of a log-concave random vector is comparable to the sum of the first moment and the weak $p$ -th moment…

Benign Overfitting Property of the Minimum ℓq​ -norm Interpolant Estimator in Regression Problem via Feature Space Decomposition

Operator ℓp​→ℓq​ norms of Gaussian matrices

Operator ℓp​→ℓq​ norms of random matrices with iid entries

Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums

Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices

Norms of structured random matrices

Estimates of norms of log-concave random matrices with dependent entries

Two-sided estimates for order statistics of log-concave random vectors

On the convex infimum convolution inequality with optimal cost function

Comparison of weak and strong moments for vectors with independent coordinates

Isoperimetric problem for exponential measure on the plane with l_1-metric

Weak and strong moments of l_r-norms of log-concave vectors

Benign Overfitting Property of the Minimum $ℓ_{q}$ -norm Interpolant Estimator in Regression Problem via Feature Space Decomposition

Operator $ℓ_{p} \to ℓ_{q}$ norms of Gaussian matrices

Operator $ℓ_{p} \to ℓ_{q}$ norms of random matrices with iid entries