3 citations · 5 across the 2 of their papers we have counts for
6 papers
Free boundary dimers: random walk representation and scaling limit
Nathanael Berestycki, Marcin Lis, Wei Qian
We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly unmatched. Each such unmatched v…
Structures of Spurious Local Minima in -means
Wei Qian, Yuqian Zhang, Yudong Chen
-means clustering is a fundamental problem in unsupervised learning. The problem concerns finding a partition of the data points into clusters such that the within-cluster v…
Global Convergence of Least Squares EM for Demixing Two Log-Concave Densities
Wei Qian, Yuqian Zhang, Yudong Chen
This work studies the location estimation problem for a mixture of two rotation invariant log-concave densities. We demonstrate that Least Squares EM, a variant of the EM algorithm…
The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions
Jason Miller, Wei Qian
We prove that the geodesics associated with any metric generated from Liouville quantum gravity (LQG) which satisfies certain natural hypotheses are necessarily singular with respe…
Conformal invariance of CLE on the Riemann sphere for
Ewain Gwynne, Jason Miller, Wei Qian
The conformal loop ensemble (CLE) is the canonical conformally invariant probability measure on non-crossing loops in a simply connected domain in and is indexed by a p…
The law of a point process of Brownian excursions in a domain is determined by the law of its trace
Wei Qian, Wendelin Werner
We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.