3 papers
math.NA2026
Novel Product Manifold Modeling and Orthogonality-Constrained Neural Network Solver for Parameterized Generalized Inverse Eigenvalue Problems
Shuai Zhang, Xuelian Jiang, Yingxiang Xu
A parameterized orthogonality-constrained neural network is proposed for the first time to solve the parameterized generalized inverse eigenvalue problem (PGIEP) on product manifol…
math.AP2025
Lie Symmetry Net: Preserving Conservation Laws in Modelling Financial Market Dynamics via Differential Equations
Xuelian Jiang, Tongtian Zhu, Yingxiang Xu +3
This paper employs a novel Lie symmetries-based framework to model the intrinsic symmetries within financial market. Specifically, we introduce Lie symmetry net (LSN), which charac…
math.NA2024
Orthogonal Constrained Neural Networks for Solving Structured Inverse Eigenvalue Problems
Shuai Zhang, Xuelian Jiang, Hao Qian +1
This paper introduces a novel neural network for efficiently solving Structured Inverse Eigenvalue Problems (SIEPs). The main contributions lie in two aspects: firstly, a unified f…