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Gaussian Processes Explored in Reproducing Kernel Banach Spaces

By PulseAugur Editorial · [2 sources] ·

Researchers have published a paper exploring the relationship between Gaussian processes and Gaussian random elements within reproducing kernel Banach spaces. The study demonstrates that a weak second-order Radon probability measure's covariance operator is uniquely defined by a positive definite function. Furthermore, the paper characterizes positive definite functions arising from covariance operators in the Gaussian context using $\gamma$-radonifying operators, extending the Driscoll theorem to the Banach space setting. AI

RANK_REASON The cluster contains an academic paper detailing theoretical research in mathematics and statistics. [lever_c_demoted from research: ic=2 ai=0.1]

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AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Gaussian Processes Explored in Reproducing Kernel Banach Spaces

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Toni Karvonen, Rasmus Kleist H{\o}rlyck S{\o}rensen ·

    Gaussian Processes with Sample Paths in Reproducing Kernel Banach Spaces

    arXiv:2605.28106v1 Announce Type: 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 un…

  2. arXiv stat.ML TIER_1 English(EN) · Rasmus Kleist Hørlyck Sørensen ·

    Gaussian Processes with Sample Paths in Reproducing Kernel Banach Spaces

    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 positive definite function.…

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