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cs.LG2025
Stochastic Fractional Neural Operators: A Symmetrized Approach to Modeling Turbulence in Complex Fluid Dynamics
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
In this work, we introduce a new class of neural network operators designed to handle problems where memory effects and randomness play a central role. In this work, we introduce a…
cs.LG2025
Revolutionizing Fractional Calculus with Neural Networks: Voronovskaya-Damasclin Theory for Next-Generation AI Systems
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales
This work introduces rigorous convergence rates for neural network operators activated by symmetrized and perturbed hyperbolic tangent functions, utilizing novel Voronovskaya-Damas…