Coded Hankel Polynomial Chaos: Spectral Identification of Dominant Polynomial-Chaos Modes
Identification of dominant polynomial-chaos modes is usually formulated as a sparse-regression problem on a sampled multivariate polynomial dictionary. We develop coded Hankel polynomial chaos (CH-PC), a complementary spectral formulation for dominant-mode identification. A finite generating transform converts PCE coefficients into a coefficient-generating polynomial, and evaluation along a geometric phase orbit produces a finite exponential sum. Its model order and spectral nodes are encoded by low-rank Hankel matrices, while coordinate phase shifts attach root-of-unity labels from which the full polynomial multi-indices are recovered. Coordinate-shifted probes are combined as common-nod...
| Authors | Zhiliang Deng, Xiaomei Yang |
|---|---|
| Primary category | stat.ML |
| Published | 17 August 2026 |
| Last updated at source | 17 August 2026 |
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