no code implementations • 4 Mar 2024 • Jhanvi Garg, Xianyang Zhang, Quan Zhou
Schr\"{o}dinger bridge can be viewed as a continuous-time stochastic control problem where the goal is to find an optimally controlled diffusion process whose terminal distribution coincides with a pre-specified target distribution.
no code implementations • 21 Oct 2022 • Xianyang Zhang, Trisha Dawn
One common approach to detecting change-points is minimizing a cost function over possible numbers and locations of change-points.
no code implementations • 31 Dec 2021 • Jian Yan, Xianyang Zhang
Motivated by the increasing use of kernel-based metrics for high-dimensional and large-scale data, we study the asymptotic behavior of kernel two-sample tests when the dimension and sample sizes both diverge to infinity.
no code implementations • 30 Sep 2019 • Shubhadeep Chakraborty, Xianyang Zhang
The paper presents new metrics to quantify and test for (i) the equality of distributions and (ii) the independence between two high-dimensional random vectors.