On Good Deterministic Smoothing Sequences for Kernel Density Estimates
نویسندگان
چکیده
منابع مشابه
Geometric Inference on Kernel Density Estimates
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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. SUMMARY A technique for using kernel density estimates to ...
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We construct near-optimal coresets for kernel density estimate for points in Rd when the kernel is positive definite. Specifically we show a polynomial time construction for a coreset of size O( √ d log(1/ε)/ε), and we show a near-matching lower bound of size Ω( √ d/ε). The upper bound is a polynomial in 1/ε improvement when d ∈ [3, 1/ε2) (for all kernels except the Gaussian kernel which had a ...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1994
ISSN: 0090-5364
DOI: 10.1214/aos/1176325500