Trust the process: mapping data-driven reconstructions to informed models using stochastic processes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915728816340992 |
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| author | Rinaldi, Stefano Toubiana, Alexandre Gair, Jonathan R. |
| author_facet | Rinaldi, Stefano Toubiana, Alexandre Gair, Jonathan R. |
| contents | Gravitational-wave astronomy has entered a regime where it can extract information about the population properties of the observed binary black holes. The steep increase in the number of detections will offer deeper insights, but it will also significantly raise the computational cost of testing multiple models. To address this challenge, we propose a procedure that first performs a non-parametric (data-driven) reconstruction of the underlying distribution, and then remaps these results onto a posterior for the parameters of a parametric (informed) model. The computational cost is primarily absorbed by the initial non-parametric step, while the remapping procedure is both significantly easier to perform and computationally cheaper. In addition to yielding the posterior distribution of the model parameters, this method also provides a measure of the model's goodness-of-fit, opening for a new quantitative comparison across models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05153 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trust the process: mapping data-driven reconstructions to informed models using stochastic processes Rinaldi, Stefano Toubiana, Alexandre Gair, Jonathan R. General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Applications Gravitational-wave astronomy has entered a regime where it can extract information about the population properties of the observed binary black holes. The steep increase in the number of detections will offer deeper insights, but it will also significantly raise the computational cost of testing multiple models. To address this challenge, we propose a procedure that first performs a non-parametric (data-driven) reconstruction of the underlying distribution, and then remaps these results onto a posterior for the parameters of a parametric (informed) model. The computational cost is primarily absorbed by the initial non-parametric step, while the remapping procedure is both significantly easier to perform and computationally cheaper. In addition to yielding the posterior distribution of the model parameters, this method also provides a measure of the model's goodness-of-fit, opening for a new quantitative comparison across models. |
| title | Trust the process: mapping data-driven reconstructions to informed models using stochastic processes |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Applications |
| url | https://arxiv.org/abs/2506.05153 |