most citedMachine Learning Algorithms to Assess Site Closure Time Frames for Soil and Groundwater Contamination

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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.AT2024

The Stability of Persistence Diagrams Under Non-Uniform Scaling

Vu-Anh Le, Mehmet Dik

We investigate the stability of persistence diagrams \( D \) under non-uniform scaling transformations \( S \) in \( \mathbb{R}^n \). Given a finite metric space \( X \subset \math…