3 papers
math.AP2026
An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds
Zhonggan Huang, Raghavendra Venkatraman
We establish optimal convergence rates for Steklov eigenvalues and harmonically extended eigenfunctions toward their weighted Laplace--Beltrami counterparts on a closed manifold pe…
stat.ML2026
On the continuum limit of t-SNE for data visualization
Jeff Calder, Zhonggan Huang, Ryan Murray +1
This work is concerned with the continuum limit of a graph-based data visualization technique called the t-Distributed Stochastic Neighbor Embedding (t-SNE), which is widely used f…
math.AP2025
Homogenization of a vertical oscillating Neumann condition
William M Feldman, Zhonggan Huang
We homogenize the Laplace and heat equations with the Neumann data oscillating in the ``vertical" -variable. These are simplified models for interface motion in heterogeneous me…