113 citations · 119 across the 8 of their papers we have counts for
8 papers
Full extremal process in four-dimensional membrane model
Hao Ge, Xinyi Li, Jiaxi Zhao
We investigate the extremal process of four-dimensional membrane models as the size of the lattice tends to infinity. We prove the cluster-like geometry of the extreme points a…
Variational conditional normalizing flows for computing second-order mean field control problems
Jiaxi Zhao, Mo Zhou, Xinzhe Zuo +1
Mean field control (MFC) problems have vast applications in artificial intelligence, engineering, and economics, while solving MFC problems accurately and efficiently in high-dimen…
Numerical Analysis on Neural Network Projected Schemes for Approximating One Dimensional Wasserstein Gradient Flows
Xinzhe Zuo, Jiaxi Zhao, Shu Liu +2
We provide a numerical analysis and computation of neural network projected schemes for approximating one dimensional Wasserstein gradient flows. We approximate the Lagrangian mapp…
Mitigating distribution shift in machine learning-augmented hybrid simulation
Jiaxi Zhao, Qianxiao Li
We study the problem of distribution shift generally arising in machine-learning augmented hybrid simulation, where parts of simulation algorithms are replaced by data-driven surro…
Scaling Limits of the Wasserstein information matrix on Gaussian Mixture Models
Wuchen Li, Jiaxi Zhao
We consider the Wasserstein metric on the Gaussian mixture models (GMMs), which is defined as the pullback of the full Wasserstein metric on the space of smooth probability distrib…
SocialVisTUM: An Interactive Visualization Toolkit for Correlated Neural Topic Models on Social Media Opinion Mining
Gerhard Johann Hagerer, Martin Kirchhoff, Hannah Danner +5
Recent research in opinion mining proposed word embedding-based topic modeling methods that provide superior coherence compared to traditional topic modeling. In this paper, we dem…
A matter of time: Using dynamics and theory to uncover mechanisms of transcriptional bursting
Nicholas C. Lammers, Yang Joon Kim, Jiaxi Zhao +1
Eukaryotic transcription generally occurs in bursts of activity lasting minutes to hours; however, state-of-the-art measurements have revealed that many of the molecular processes…
Wasserstein information matrix
Wuchen Li, Jiaxi Zhao
We study information matrices for statistical models by the -Wasserstein metric. We call them Wasserstein information matrices (WIMs), which are analogs of classical Fisher in…