Positive Definite Multi-Kernels for Scattered Data Interpolations

2021/11/05 by Qi Ye, Ye, Qi
Computer Science · Engineering · #46E22 #65D05 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Image and Signal Denoising Methods #Medical Image Segmentation Techniques #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2111.03490

openalex publication_date 2021/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we use the knowledge of positive definite tensors to develop a concept of positive definite multi-kernels to construct the kernel-based interpolants of scattered data. By the techniques of reproducing kernel Banach spaces, the optimal recoveries and error analysis of the kernel-based interpolants are shown for a special class of strictly positive definite multi-kernels.

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