Nikita Kalinin

collaborators

2 papers

math.GM2026

A $p$ -adic ( $p \equiv 3 (mod 4)$ ) depth- $5$ supercongruence for Gaussian $p$ -th power sums over a square

Nikita Kalinin, Faith Shadow Zottor

For an odd prime $p$ , define $G_{n} (p) = \sum_{a = 1}^{p - 1} \sum_{b = 1}^{p - 1} (a + bi)^{n} \in Z [i]$ . We study the $p$ -adic valuation of these Gaussian power sums for $n\leq p, n=r(p-1…

cs.LG2026

Sampling-Free Privacy Accounting for Matrix Mechanisms under Random Allocation

Jan Schuchardt, Nikita Kalinin

We study privacy amplification for differentially private model training with matrix factorization under random allocation (also known as the balls-in-bins model). Recent work by C…

A p-adic (p≡3(mod4)) depth-5 supercongruence for Gaussian p-th power sums over a square

Sampling-Free Privacy Accounting for Matrix Mechanisms under Random Allocation

A $p$ -adic ( $p \equiv 3 (mod 4)$ ) depth- $5$ supercongruence for Gaussian $p$ -th power sums over a square