activity
20142024
most citedDiffusion -means clustering on manifolds: provable exact recovery via semidefinite relaxations

10 citations · 26 across the 11 of their papers we have counts for

collaborators

11 papers

math.OC2024

Wasserstein Proximal Coordinate Gradient Algorithms

Rentian Yao, Xiaohui Chen, Yun Yang

Motivated by approximation Bayesian computation using mean-field variational approximation and the computation of equilibrium in multi-species systems with cross-interaction, this…

stat.ML2023

Statistically Optimal K-means Clustering via Nonnegative Low-rank Semidefinite Programming

Yubo Zhuang, Xiaohui Chen, Yun Yang +1

-means clustering is a widely used machine learning method for identifying patterns in large datasets. Recently, semidefinite programming (SDP) relaxations have been proposed fo…

stat.ML2022★ 5 cited

Wasserstein -means for clustering probability distributions

Yubo Zhuang, Xiaohui Chen, Yun Yang

Clustering is an important exploratory data analysis technique to group objects based on their similarity. The widely used -means clustering method relies on some notion of dist…

stat.ML2022★ 1 cited

Likelihood Adjusted Semidefinite Programs for Clustering Heterogeneous Data

Yubo Zhuang, Xiaohui Chen, Yun Yang

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Lik…

math.ST2022★ 3 cited

Mean-Field Nonparametric Estimation of Interacting Particle Systems

Rentian Yao, Xiaohui Chen, Yun Yang

This paper concerns the nonparametric estimation problem of the distribution-state dependent drift vector field in an interacting -particle system. Observing single-trajectory d…

stat.ML2022★ 1 cited

Sketch-and-Lift: Scalable Subsampled Semidefinite Program for -means Clustering

Yubo Zhuang, Xiaohui Chen, Yun Yang

Semidefinite programming (SDP) is a powerful tool for tackling a wide range of computationally hard problems such as clustering. Despite the high accuracy, semidefinite programs ar…