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math.PR2026
Non-Gaussianity of the Stagnation Law in Particle Swarm Optimization
Alexandra - Ionela Andriciuc, David - Corneliu Turturean, Ionel Popescu
We study one-dimensional particle swarm optimization during stagnation, with two fixed distinct attractors and equal independent uniform acceleration ranges. The position then sati…
math.PR2026
Rank-One Fluctuations in Averaging-Learning Dynamics
Ionel Popescu, Tushar Vaidya
We study averaging-learning dynamics without an exogenous ground truth: the reference signal is generated endogenously by the population. The dynamics combine a time-varying averag…
math.PR2024
From Monte Carlo to neural networks approximations of boundary value problems
Lucian Beznea, Iulian Cimpean, Oana Lupascu-Stamate +2
In this paper we study probabilistic and neural network approximations for solutions to Poisson equation subject to Holder data in general bounded domains of . We aim…