Efficient Reduced Basis Algorithm (ERBA) for Kernel-Based Approximation

Abstract The main purpose of this work is to provide an efficient scheme for constructing kernel-based reduced interpolation models. In the existing literature such problems are mainly addressed via well-established knot insertion or removal schemes. Such iterative strategies usually quite demanding from a computational point view and our goal study implementation data approaches, namely basis algorithm (ERBA). Focusing on interpolation, makes use two rules removing data. former, called ERBA- r , based classical residual evaluations. latter, p independent function values relies error bounds defined by power function. both cases, inspired so-called extended Rippa’s algorithm, ERBA takes advantage fast implementation.