6 citations · 19 across the 29 of their papers we have counts for
18 papers · 1 filter
One-Cut Risk Profiles under Quadratic Loss: Discrete Convexity, Continuous Limits, and Higher Dimensions
Mihaela-Adriana Nistor, Ionel Popescu
In this note we study a two-regime representation of a loss random variable under quadratic error. For a finite law we compute exactly the change of the optimal risk when one atom…
Non-Gaussianity of the Stagnation Law in Particle Swarm Optimization
Alexandra - Ionela Andriciuc, Ionel Popescu, David - Corneliu Turturean
We study one-dimensional particle swarm optimization during stagnation, with two fixed distinct attractors and equal independent uniform acceleration ranges. The position then sati…
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…
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…
Invariance principle of random projection for the norm
Juntao Duan, Ionel Popescu, Heinrich Matzinger
Johnson-Lindenstrauss guarantees certain topological structure is preserved under random projections when project high dimensional deterministic vectors to low dimensional vectors.…
A product-CLT and its application in invariance principle of random projection
JunTao Duan, Ionel Popescu, Fan Zhou
Johnson-Lindenstrauss lemma states random projections can be used as a topology preserving embedding technique for fixed vectors. In this paper, we try to understand how random pro…