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math.NA2024
How Analysis Can Teach Us the Optimal Way to Design Neural Operators
Vu-Anh Le, Mehmet Dik
This paper presents a mathematics-informed approach to neural operator design, building upon the theoretical framework established in our prior work. By integrating rigorous mathem…
math.NA2024
A Mathematical Analysis of Neural Operator Behaviors
Vu-Anh Le, Mehmet Dik
Neural operators have emerged as transformative tools for learning mappings between infinite-dimensional function spaces, offering useful applications in solving complex partial di…