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- W2891650202 abstract "Spectral estimation (SE) aims to identify how the energy of a signal (e.g., time series) is distributed across different frequencies. This is a challenging task when only partial and noisy observations are available, where current methods fail to find expressive representations of the data and handle uncertainty appropriately. In this context, we propose a joint probabilistic model for signals, observations and spectra, where SE is addressed as an inference problem. Assuming a Gaussian process prior over the signal, we apply Bayes' rule to find the analytic posterior distribution of the spectrum given a set of observations. Besides its expressiveness and natural ability to represent spectral uncertainty, the proposed model provides a functional-form estimate of the power spectral density which can be optimised efficiently. We include a comparison to previous methods for SE and validation on three experiments using synthetic and real-world data." @default.
- W2891650202 created "2018-09-27" @default.
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- W2891650202 date "2018-12-03" @default.
- W2891650202 modified "2023-09-24" @default.
- W2891650202 title "Bayesian Nonparametric Spectral Estimation" @default.
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