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Gaussian Processes with Sample Paths in Reproducing Kernel Banach Spaces
arXiv stat.ML0 views
arXiv:2605.28106v2 Announce Type: replace-cross Abstract: We investigate the connection between Gaussian processes and Gaussian random elements in reproducing kernel Banach spaces. We show that the covariance operator of a weak second-order Radon probability measure on such a space is uniquely determined by a symmetric positive-definite function. In the Gaussian case, we characterize those functions that arise from covariance operators in terms of $\gamma$-radonifying operators. Building on these results, we extend Driscoll's theorem to the reproducing kernel Banach space setting.
Source：https://arxiv.org/abs/2605.28106PreviousFRESH: Information-Geometric Calibration of Patient-Level Models to Aggregate EvidenceNextSequential sparse Gaussian process quantile regression
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