10 papers
Coded Hankel Polynomial Chaos: Spectral Identification of Dominant Polynomial-Chaos Modes
Zhiliang Deng, Xiaomei Yang
Identification of dominant polynomial-chaos modes is usually formulated as a sparse-regression problem on a sampled multivariate polynomial dictionary. We develop coded Hankel poly…
Contour Hankel dynamics and indicator fields for the Riemann -function
Zhiliang Deng, Xiaomei Yang, Huazhong Lü
We develop a moving-contour Hankel framework for encoding local zero configurations of the Riemann -function. Weighted contour integrals of the logarithmic derivative , ex…
Representation--Symbol Correspondence for -Hamiltonian Mechanics on the Quantum Plane
Xiaomei Yang, Zhiliang Deng
We develop a representation--symbol correspondence for -Hamiltonian mechanics on the quantum plane. The coordinate algebra and its covariant differential calculus are realized s…
Contour-count indicator fields for visible pole clusters in meromorphic continuation
Zhiliang Deng, Xiaomei Yang
We develop a contour-count indicator method for visible pole clusters in outward meromorphic continuation from circular boundary data. The method starts from determinant characteri…
Determinant Characteristics and Argument-Principle Certification for Visible Poles in Meromorphic Continuation
Xiaomei Yang, Zhiliang Deng
We study outward meromorphic continuation from circular boundary data in the unit disk. The unknown function is holomorphic in the unit disk and admits a meromorphic continuation t…
A persistent-homology-Gaussian prior for solving infinite-dimensional Bayesian inverse scattering problems
Zhiyuan Wang, Hang Qi, Xiaofei Guan +2
Bayesian inference methods have been developed to address inverse problems in function spaces where the unknown parameters are of infinite dimension. However, conventional Gaussian…