We exploit the idea to use the maximal‐entropy method, successfully tested in information theory and statistical thermodynamics, to determine approximating function's coefficients and squared errors' weights simultaneously as output of one single problem in least‐square approximation. We provide evidence of the method's capabilities and performance through its application to representative test cases by working with polynomials as a first step. We conclude by formulating suggestions for future work to improve the version of the method we present in this paper.

中文翻译：

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最大熵驱动的最小二乘近似法确定权重

我们利用这一思想，使用在信息论和统计热力学中成功测试的最大熵方法，同时确定最小二乘近似中的一个问题的输出，同时确定近似函数的系数和平方误差的权重。我们首先通过使用多项式来证明该方法的功能和性能，方法是将该方法应用于代表性的测试案例。最后，我们为将来的工作提出了一些建议，以改进本文介绍的方法的版本。