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math.AT2024
Topology-Preserving Scaling in Data Augmentation
Vu-Anh Le, Mehmet Dik
We propose an algorithmic framework for dataset normalization in data augmentation pipelines that preserves topological stability under non-uniform scaling transformations. Given a…
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…