Submit Time:
20191229
Author:
廉师友
1
;
Institute:
1.西安石油大学;
Abstracts
[英文摘要]
This paper introduces the measure of approximatedegree and the concept of approximatedegree function between numerical values, thus developing a new interpolation method —— approximationdegreebased interpolation, i.e., AD interpolation. Onedimensional AD interpolation is done directly by using correlative interpolation formulas; n(n>1)dimensional AD interpolation is firstly separated into n parallel onedimensional AD interpolation computations to do respectively, and then got results are synthesized by SumTimesDifference formula into a value as the result value of the ndimensional interpolation. If the parallel processing is used, the efficiency of ndimensional AD interpolation is almost the same as that of the onedimensional AD interpolation. Thus it starts a feasible and convenient approach and provides an effective method for highdimensional interpolations. Furthermore, if AD interpolation is introduced into machine learning, a new instancebased learning method is expected to be realized. "

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From:
廉师友
DOI：10.12074/202001.00045
Recommended references：
廉师友.(2019).ApproximationDegreeBased Interpolation: A New Interpolation Method.[ChinaXiv:202001.00045] (Click&Copy)
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20191229 10:47:56

chinaXiv:202001.00045V1

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