Bayesian estimation of optical constants using mixtures of Gaussian process experts
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912985047367680 |
|---|---|
| author | Härkönen, Teemu Chen, Hui Vartiainen, Erik |
| author_facet | Härkönen, Teemu Chen, Hui Vartiainen, Erik |
| contents | We propose modeling absorption spectrum measurements as mixtures of Gaussian process experts. This enables us to construct a flexible statistical model for interpolating and extrapolating measurements, facilitating statistical integration of Kramers-Kronig relations to estimate the whole complex refractive index. Additionally, we statistically model the anchoring points used in subtractive Kramers-Kronig relations to account for possible measurement errors of the anchor point. In addition to flexible statistical modeling, the mixtures of Gaussian process formulation enables automatic selection of measurement points to use for extrapolation. We apply the method to experimental absorption spectrum measurements of gallium arsenide, potassium chloride, and transparent wood. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26334 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bayesian estimation of optical constants using mixtures of Gaussian process experts Härkönen, Teemu Chen, Hui Vartiainen, Erik Applications Data Analysis, Statistics and Probability 78A46 (Primary) 62H30, 62G05 (Secondary) We propose modeling absorption spectrum measurements as mixtures of Gaussian process experts. This enables us to construct a flexible statistical model for interpolating and extrapolating measurements, facilitating statistical integration of Kramers-Kronig relations to estimate the whole complex refractive index. Additionally, we statistically model the anchoring points used in subtractive Kramers-Kronig relations to account for possible measurement errors of the anchor point. In addition to flexible statistical modeling, the mixtures of Gaussian process formulation enables automatic selection of measurement points to use for extrapolation. We apply the method to experimental absorption spectrum measurements of gallium arsenide, potassium chloride, and transparent wood. |
| title | Bayesian estimation of optical constants using mixtures of Gaussian process experts |
| topic | Applications Data Analysis, Statistics and Probability 78A46 (Primary) 62H30, 62G05 (Secondary) |
| url | https://arxiv.org/abs/2603.26334 |