4 citations · 4 across the 6 of their papers we have counts for
6 papers
Approximation bounds for norm constrained deep neural networks
Francesco Paolo Maiale, Anastasiia Trofimova, Arturo De Marinis
This paper studies the approximation capacity of neural networks with an arbitrary activation function and with norm constraint on the weights. Upper and lower bounds on the approx…
Probabilistic Analysis of the Random Spectral Radius for a Matrix Family
Francesco Paolo Maiale, Anastasiia Trofimova, Nicola Guglielmi
We investigate joint spectral characteristics of a family of matrices , associated with products in the semigroup generated by . In the literature, extrema…
Scaling Properties of Current Fluctuations in Periodic TASEP
Anastasiia Trofimova, Lu Xu
We study current fluctuations in the Totally Asymmetric Simple Exclusion Process (TASEP) on a ring with sites and particles. By introducing a deformation parameter , we…
Exact loop densities in dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation
A. M. Povolotsky, A. A. Trofimova
We consider dense loop model in a square lattice wrapped on a cylinder of odd circumference and calculate the exact densities of loops. These densities of loops are equa…
Crossover scaling functions in the asymmetric avalanche process
Anastasiia A. Trofimova, Alexander M. Povolotsky
We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density…
Current statistics in the q-boson zero range process
A. A. Trofimova, A. M. Povolotsky
We obtain exact formulas of the first two cumulants of particle current in the q-boson zero range process via exact perturbative solution of the TQ-relation. The result is represen…