4 papers
Improved Stochastic Optimization of LogSumExp
Egor Gladin, Alexey Kroshnin, Jia-Jie Zhu +1
The LogSumExp function, dual to the Kullback-Leibler (KL) divergence, plays a central role in many important optimization problems, including entropy-regularized optimal transport…
SLDP: Semi-Local Differential Privacy for Density-Adaptive Analytics
Alexey Kroshnin, Alexandra Suvorikova
Density-adaptive domain discretization is essential for high-utility privacy-preserving analytics but remains challenging under Local Differential Privacy (LDP) due to the privacy-…
friends.test: rank-based method for feature selection in interaction matrices
Alexandra Suvorikova, Alexey Kroshnin, Dmirijs Lvovs +5
The analysis of the interaction matrix between two distinct sets is essential across diverse fields, from pharmacovigilance to transcriptomics. Not all interactions are equally inf…
On the signature of squared distance matrices of metric measure spaces
Alexey Kroshnin, Tianyu Ma, Eugene Stepanov
We consider the numbers of positive and negative eigenvalues of matrices of squared distances between randomly sampled i.i.d. points in a given metric measure space. These numbers…