Visual Error Criteria for Qualitative Smoothing
Visual Error Criteria for Qualitative Smoothing
复制标题
定性平滑的视觉误差标准
DOI：
10.1080/01621459.1995.10476541
复制
发表时间：
1995
影响因子：
3.7
通讯作者：
A. Tsybakov
中科院分区：
文献类型：
--
作者：
J. Marron;A. Tsybakov
摘要 经典数学理论与非参数曲线估计的实践和实现之间的一个重要差距是由于函数空间的通常规范测量的东西与眼睛在图形表示中可以看到的东西不同这一事实。更紧密地遵循“视觉印象”的数学错误标准是从图形和数学角度制定和分析的。考虑小波回归和核密度估计的例子。
Abstract An important gap, between the classical mathematical theory and the practice and implementation of nonparametric curve estimation, is due to the fact that the usual norms on function spaces measure something different from what the eye can see visually in a graphical presentation. Mathematical error criteria that more closely follow “visual impression” are developed and analyzed from both graphical and mathematical viewpoints. Examples from wavelet regression and kernel density estimation are considered.