Wenyan Luo
Wenyan Luo

Wenyan Luo

PhD Candidate in Mathematics

The Ohio State University

luo.1409@osu.edu · Curriculum vitae

About

I am a PhD candidate in Mathematics at The Ohio State University, advised by Prof. Dustin G. Mixon. My research interests lie at the intersection of high-dimensional probability, data science, and optimization, with a focus on optimal transport, semidefinite programming, and any-dimensional optimizations.

Previously, I studied mathematical and computational methods for clustering and approximation of manifold-supported distribution using optimal transport.

Education

PhD in Mathematics, Applied Track
The Ohio State University, Columbus
PhD candidate · Advisor: Dustin G. Mixon · GPA: 4.00/4.00
2022–present
BSc in Mathematics and Applied Mathematics
The Chinese University of Hong Kong, Shenzhen
First Class Honours
2018–2022

Publications and preprints

  1. Ambient PCA projection Latent smoothing provides better approximation accuracy than ambient smoothing.
    Optimal transport bounds for autoencoder-based density smoothing on MTW manifolds Wonjun Lee and Wenyan Luo Manuscript submitted · arXiv · Latest draft
  2. Balanced Gaussian mixture data with estimated and ground-truth cluster centroids connected by optimal transport correspondences Balanced mixture clustering and centroid correspondence.
    BalLOT: Balanced k-means clustering with optimal transport Wenyan Luo and Dustin G. Mixon Submitted to Mathematical Programming · Under revision · arXiv · Latest draft
  3. Three sinusoidal cluster centroids produced by clustering sliding windows Clustering geometry of sliding windows of time series.
    On the clustering behavior of sliding windows Boris Alexeev, Wenyan Luo, Dustin G. Mixon, and Yan X. Zhang Accepted to the SIAM Journal on Mathematics of Data Science · arXiv · Accepted manuscript

Current work

Teaching

Academic activities

Awards and fellowships

Links