2 papers
math.FA2026
On finite-dimensional encoding/decoding theorems for neural operators
Vinícius Luz Oliveira, Vladimir G. Pestov
Recently, versions of neural networks with infinite-dimensional affine operators inside the computational units (``neural operator'' networks) have been applied to learn solutions…
quant-ph2025
A review of quantum machine learning and quantum-inspired applied methods to computational fluid dynamics
Cesar A. Amaral, Vinícius L. Oliveira, Juan P. L. C. Salazar +1
Computational Fluid Dynamics (CFD) is central to science and engineering, but faces severe scalability challenges, especially in high-dimensional, multiscale, and turbulent regimes…