Bayesian power spectral density estimation for LISA noise based on penalized splines with a parametric boost
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910069852995584 |
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| author | Aimen, Nazeela Maturana-Russel, Patricio Vajpeyi, Avi Christensen, Nelson Meyer, Renate |
| author_facet | Aimen, Nazeela Maturana-Russel, Patricio Vajpeyi, Avi Christensen, Nelson Meyer, Renate |
| contents | Flexible and accurate noise characterization is crucial for the precise estimation of gravitational-wave parameters. We introduce a Bayesian method for estimating the power spectral density (PSD) of long, stationary time series, explicitly tailored for LISA data analysis. Our approach models the PSD as the geometric mean of a parametric and a nonparametric component, combining the knowledge from parametric models with the flexibility to capture deviations from theoretical expectations. The nonparametric component is expressed by a mixture of penalized B-splines. Adaptive, data-driven knot placement, performed once at initialization, removes the need for reversible-jump Markov chain Monte Carlo, while hierarchical roughness-penalty priors prevent overfitting. Validation on simulated autoregressive AR(4) data demonstrates estimator consistency and shows that well-matched parametric components reduce the integrated absolute error compared to an uninformative baseline, requiring fewer spline knots to achieve comparable accuracy. Applied to one year of simulated LISA X-channel (univariate) noise, our method achieves relative integrated absolute errors of $\mathcal{O}(10^{-2})$, making it suitable for iterative analysis pipelines and multi-year mission data sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00533 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bayesian power spectral density estimation for LISA noise based on penalized splines with a parametric boost Aimen, Nazeela Maturana-Russel, Patricio Vajpeyi, Avi Christensen, Nelson Meyer, Renate General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Computational Physics Computation Flexible and accurate noise characterization is crucial for the precise estimation of gravitational-wave parameters. We introduce a Bayesian method for estimating the power spectral density (PSD) of long, stationary time series, explicitly tailored for LISA data analysis. Our approach models the PSD as the geometric mean of a parametric and a nonparametric component, combining the knowledge from parametric models with the flexibility to capture deviations from theoretical expectations. The nonparametric component is expressed by a mixture of penalized B-splines. Adaptive, data-driven knot placement, performed once at initialization, removes the need for reversible-jump Markov chain Monte Carlo, while hierarchical roughness-penalty priors prevent overfitting. Validation on simulated autoregressive AR(4) data demonstrates estimator consistency and shows that well-matched parametric components reduce the integrated absolute error compared to an uninformative baseline, requiring fewer spline knots to achieve comparable accuracy. Applied to one year of simulated LISA X-channel (univariate) noise, our method achieves relative integrated absolute errors of $\mathcal{O}(10^{-2})$, making it suitable for iterative analysis pipelines and multi-year mission data sets. |
| title | Bayesian power spectral density estimation for LISA noise based on penalized splines with a parametric boost |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics Computational Physics Computation |
| url | https://arxiv.org/abs/2510.00533 |