3 papers
cs.LG2025
Higher-Order Regularization Learning on Hypergraphs
Adrien Weihs, Andrea L. Bertozzi, Matthew Thorpe
Higher-Order Hypergraph Learning (HOHL) was recently introduced as a principled alternative to classical hypergraph regularization, enforcing higher-order smoothness via powers of…
cs.LG2025
Analysis of Semi-Supervised Learning on Hypergraphs
Adrien Weihs, Andrea L. Bertozzi, Matthew Thorpe
Hypergraphs provide a natural framework for modeling multiway interactions. We analyze a class of variational semi-supervised learning problems posed on random geometric hypergraph…
math.NA2023
Discrete-to-Continuum Rates of Convergence for -Laplacian Regularization
Adrien Weihs, Jalal Fadili, Matthew Thorpe
Higher-order regularization problem formulations are popular frameworks used in machine learning, inverse problems and image/signal processing. In this paper, we consider the compu…