2 citations · 3 across the 5 of their papers we have counts for
5 papers
Responsive Distribution of G-normal Random Variables
Ziting Pei, Shige Peng, Xingye Yue +1
A -normal random variable does not admit a unique probability law due to volatility uncertainty. For a given test function $ϕ…
Option pricing model under the G-expectation framework
Ziting Pei, Xingye Yue, Xiaotao Zheng
G-expectation, as a sublinear expectation, provides a powerful framework for modeling uncertainty in financial markets. Motivated by the need for robust valuation under model uncer…
Enhancing Neural Function Approximation: The XNet Outperforming KAN
Xin Li, Xiaotao Zheng, Zhihong Xia
XNet is a single-layer neural network architecture that leverages Cauchy integral-based activation functions for high-order function approximation. Through theoretical analysis, we…
XNet-Enhanced Deep BSDE Method and Numerical Analysis
Xiaotao Zheng, Xingye Yue, Zhihong Xia +1
Semilinear parabolic partial differential equations (PDEs) are fundamental to modeling complex dynamical systems across scientific domains. The Deep Backward Stochastic Differentia…
Model Comparisons: XNet Outperforms KAN
Xin Li, Zhihong Jeff Xia, Xiaotao Zheng
In the fields of computational mathematics and artificial intelligence, the need for precise data modeling is crucial, especially for predictive machine learning tasks. This paper…