10 citations · 33 across the 13 of their papers we have counts for
15 papers
Actions in the Airy line ensemble and convergence to the Airy sheet
Balint Virag, Xuan Wu
Actions in the Airy line ensemble represent distances from an infinitely far object. We characterize the Airy sheet by S(x,.)=T^x(.,1), where T^x is the unique action in the Airy l…
Applications of optimal transport to Dyson Brownian Motions and beyond
Xuan Wu
We develop a new method based on Caffarelli's contraction theorem in optimal transport to obtain sharp and uniform modulus of continuity estimates for -Dyson Brownian motions wi…
An Efficient 1 Iteration Learning Algorithm for Gaussian Mixture Model And Gaussian Mixture Embedding For Neural Network
Weiguo Lu, Xuan Wu, Deng Ding +1
We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classi…
The KPZ equation and the directed landscape
Xuan Wu
This paper proves the convergence of the narrow wedge solutions of the KPZ equation to the Airy sheet and the directed landscape in the locally uniform topology. This is the first…
Tightness of -Gibbsian line ensembles
Evgeni Dimitrov, Xuan Wu
We develop a black-box theory, which can be used to show that a sequence of Gibbsian line ensembles is tight, provided that the one-point marginals of the lowest labeled curves of…
Determinantal structures for Bessel fields
Lucas Benigni, Pei-Ken Hung, Xuan Wu
A Bessel field is a two-variable random field such that for every , has the law of a…
The Bessel Line Ensemble
Xuan Wu
In this paper, we construct the Bessel line ensemble, a countable collection of continuous random curves. This line ensemble is stationary under horizontal shifts with the Bessel p…
Brownian regularity for the KPZ line ensemble
Xuan Wu
This paper seeks a quantitative comparison between the curves in the KPZ line ensemble [CH16] and a standard Brownian bridge under the vertical and horizontal s…
Convergence of the KPZ line ensemble
Xuan Wu
In this paper we study the KPZ line ensembles under the KPZ scaling. Based on their Gibbs property, we derive quantitative local fluctuation estimates for the scaled KPZ line ensem…
Enhanced Monte Carlo Estimation of the Fisher Information Matrix with Independent Perturbations for Complex Problems
Xuan Wu
The Fisher information matrix provides a way to measure the amount of information given observed data based on parameters of interest. Many applications of the FIM exist in statist…
A Quest for Structure: Jointly Learning the Graph Structure and Semi-Supervised Classification
Xuan Wu, Lingxiao Zhao, Leman Akoglu
Semi-supervised learning (SSL) is effectively used for numerous classification problems, thanks to its ability to make use of abundant unlabeled data. The main assumption of variou…
Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians
Xuan Wu
In this paper we introduce a framework to prove tightness of a sequence of discrete Gibbsian line ensembles $\mathcal{L}^N = \{\mathcal{L}_k^N(x), k \in \mathbb{N}, x \in \frac{1}{…
KMT coupling for random walk bridges
Evgeni Dimitrov, Xuan Wu
In this paper we prove an analogue of the Komlós-Major-Tusnády (KMT) embedding theorem for random walk bridges. The random bridges we consider are constructed through random walks…
Intermediate Disorder regime for half-space directed polymers
Xuan Wu
We consider the convergence of partition functions and endpoint density for the half-space directed polymer model in dimension in the intermediate disorder regime as consider…
Concavity of the Lagrangian Phase Operator and Applications
Tristan C. Collins, Sebastien Picard, Xuan Wu
We study the Dirichlet problem for the Lagrangian phase operator, in both the real and complex setting. Our main result states that if is a compact domain in o…