Unverified50% confidenceFactExact time
An operator-valued kernel must satisfy operator-valued positive definiteness in order to guarantee that the corresponding RKHS exists.
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50%
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Long-term
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10/14/2026
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Related Claims
UnverifiedIn the theoretical analysis of GP Bandits, the objective function is usually assumed to belong to the reproducing kernel Hilbert space (RKHS) corresponding to the kernel function, with bounded norm.73% similarUnverifiedReproducing Kernel Hilbert Spaces (RKHS) provide a rigorous mathematical framework for support vector machines and Gaussian processes.72% similarUnverifiedIn Bayesian optimization, the covariance function of a Gaussian process itself defines an RKHS.72% similarUnverified凸优化理论中的KKT条件是理解支持向量机SVM对偶问题以及RLHF中约束优化设计的必要工具71% similarUnverifiedFunctions in a vector-valued RKHS take values in R^d, and their kernel function K(x,x') returns a d×d matrix (operator), encoding not only sample similarity but also the correlations among output components.70% similar
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