Efficient Gaussian process learning via subspace projections
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908790032433152 |
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| author | Cazelles, Elsa Tobar, Felipe |
| author_facet | Cazelles, Elsa Tobar, Felipe |
| contents | We propose a novel training objective for GPs constructed using lower-dimensional linear projections of the data, referred to as \emph{projected likelihood} (PL). We provide a closed-form expression for the information loss related to the PL and empirically show that it can be reduced with random projections on the unit sphere. We show the superiority of the PL, in terms of accuracy and computational efficiency, over the exact GP training and the variational free energy approach to sparse GPs over different optimisers, kernels and datasets of moderately large sizes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16332 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Efficient Gaussian process learning via subspace projections Cazelles, Elsa Tobar, Felipe Machine Learning Signal Processing We propose a novel training objective for GPs constructed using lower-dimensional linear projections of the data, referred to as \emph{projected likelihood} (PL). We provide a closed-form expression for the information loss related to the PL and empirically show that it can be reduced with random projections on the unit sphere. We show the superiority of the PL, in terms of accuracy and computational efficiency, over the exact GP training and the variational free energy approach to sparse GPs over different optimisers, kernels and datasets of moderately large sizes. |
| title | Efficient Gaussian process learning via subspace projections |
| topic | Machine Learning Signal Processing |
| url | https://arxiv.org/abs/2601.16332 |