15 citations · 21 across the 6 of their papers we have counts for
6 papers
Vision Transformer Neural Quantum States for Impurity Models
Xiaodong Cao, Zhicheng Zhong, Yi Lu
Transformer neural networks, known for their ability to recognize complex patterns in high-dimensional data, offer a promising framework for capturing many-body correlations in qua…
Multiple-correction and continued fraction approximation(II)
Xiaodong Cao, Xu You
The main aim of this paper is to further develop the multiple-correction method that formulated in our previous works~\cite{CXY, Cao}. As its applications, we establish a kind of h…
Multiple-Correction and Continued Fraction Approximation
Xiaodong Cao
The main aim of this paper is to further develop a multiple-correction method formulated in a previous work~\cite{CXY}. As its applications, we find a kind of hybrid-type finite co…
Multiple-correction and Faster Approximation
Xiaodong Cao, Hongmin Xu, Xu You
In this paper, we formulate a new \emph{multiple-correction method}. The goal is to accelerate the rate of convergence. In particular, we construct some sequences to approximate th…
Harnack Estimate for the Endangered Species Equation
Xiaodong Cao, Mark Cerenzia, Demetre Kazaras
We prove a differential Harnack inequality for the Endangered Species Equation, a nonlinear parabolic equation. Our derivation relies on an idea related to the parabolic maximum pr…
The Conjugate Heat Equation and Ancient Solutions of the Ricci Flow
Xiaodong Cao, Qi S. Zhang
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and higher, we show that…