3 papers
math.ST2026
Manifold Hypothesis: Conditional Certificates and Consistent Intrinsic Dimension Estimation
U Jin Choi, U jin Choi
We study what noisy data can justify before a manifold and its intrinsic dimension are assumed. For repeated observations with independent isotropic Gaussian errors of unknown vari…
cs.LG2026
A Functorial Formulation of Neighborhood Aggregating Deep Learning
Sun Woo Park, Yun Young Choi, U Jin Choi +1
We provide a mathematical interpretation of convolutional (or message passing) neural networks by using presheaves and copresheaves of the set of continuous functions over a topolo…
cs.LG2022
The PWLR Graph Representation: A Persistent Weisfeiler-Lehman scheme with Random Walks for Graph Classification
Sun Woo Park, Yun Young Choi, Dosang Joe +2
This paper presents the Persistent Weisfeiler-Lehman Random walk scheme (abbreviated as PWLR) for graph representations, a novel mathematical framework which produces a collection…