Unverified50% confidenceFactExact time
Functions 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.
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10/14/2026
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UnverifiedIn Bayesian optimization, the covariance function of a Gaussian process itself defines an RKHS.73% similarUnverifiedAn operator-valued kernel must satisfy operator-valued positive definiteness in order to guarantee that the corresponding RKHS exists.70% similarUnverifiedFor an ordinary function f: R^n → R, both the input and output are finite-dimensional vectors, whereas for an operator G: A → U, both the argument and the dependent variable are themselves functions.65% similarUnverifiedIn a design matrix, each row represents a sample and each column represents a feature, mathematically expressed as X ∈ R^(n×d).62% similarUnverifiedDiCE使用DPP（行列式点过程）建模多样性，通过半正定核矩阵L参数化，子集S被选中的概率正比于L_S的行列式61% similar
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