From the 2 of 16 linked papers with an AI index.
16 papers
Posterior Convergence without Force Convergence: Resolution-Stable Sampling for Rough Bayesian Inverse Problems
Zhiliang Deng, Xiaomei Yang
Bayesian posteriors can converge under model refinement even when the exact sensitivities used by gradient-based samplers do not. We study this mismatch for discretely scale-invari…
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
The paper establishes a rigorous correspondence between formal q‑Hamiltonian mechanics on the quantum plane and computable dynamics using Jackson finite differences, showing how th…
Contour-count indicator fields for visible pole clusters in meromorphic continuation
Zhiliang Deng, Xiaomei Yang
The paper introduces a contour-count indicator method that uses determinant characteristics from Fourier coefficients to image and certify clusters of visible poles in outward mero…
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…