6 papers
Benchmark Dataset Generation and Evaluation for Excel Formula Repair with LLMs
Ananya Singha, Harshita Sahijwani, Walt Williams +10
Excel is a pervasive yet often complex tool, particularly for novice users, where runtime errors arising from logical mistakes or misinterpretations of functions pose a significant…
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…
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…
Machine Learning Algorithms to Assess Site Closure Time Frames for Soil and Groundwater Contamination
Vu-Anh Le, Haruko Murakami Wainwright, Hansell Gonzalez-Raymat +1
Monitored Natural Attenuation (MNA) is gaining prominence as an effective method for managing soil and groundwater contamination due to its cost-efficiency and minimal environmenta…
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…
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…