Minimax Estimation of Kernel Mean Embeddings

zbMath1441.62148arXiv1602.04361MaRDI QIDQ4636999

Krikamol Muandet, Ilya Tolstikhin, Bharath K. Sriperumbudur

Publication date: 17 April 2018

Full work available at URL: https://arxiv.org/abs/1602.04361

zbMATH Keywords

Bochner's theoremBochner integralreproducing kernel Hilbert spaceminimax lower boundstranslation invariant kernelkernel mean embeddings

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Minimax procedures in statistical decision theory (62C20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

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Cites Work

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• Real Analysis and Probability
• Universality, Characteristic Kernels and RKHS Embedding of Measures
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• Scattered Data Approximation
• Introduction to nonparametric estimation
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