The stochastic approximation algorithm is a useful technique which has been exploited successfully in probability theory and statistics for a long time. The step sizes used in stochastic approximation ...
The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...
We show that finite-rank perturbations of certain random matrices fit in the framework of infinitesimal (type-B) asymptotic freeness. This can be used to explain the appearance of free harmonic ...