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Stochastic Variational Gaussian Process Regression for large datasets with input-dependent noise - tutorial and python implementation using GPyTorch

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SVGPR Input-Dependent-Noise

Tutorial and python implementation for carrying out Stochastic Variational Gaussian Process Regression on large datsets with modelling for input-dependent noise profiles.

About

This method allows one to simultaneously infer both the underlying latent function and input-dependent noise profile of large 1D datasets. Originally developed for applications in data-driven Galactic Dynamics but is applicable to any dataset with input-dependent heteroskedastic noise.

Reference

Based on the method presented in "Gaussian Process Methods for Very Large Astrometric Data Sets (Hapitas et al. https://arxiv.org/abs/2507.10317, awaiting publication in ApJ).

Status

  • Under development - full tutorials and code will be added following paper publication. *

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Stochastic Variational Gaussian Process Regression for large datasets with input-dependent noise - tutorial and python implementation using GPyTorch

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