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cailianguo

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[交流] 拟合和回归有什么区别

如题,拟合和回归有什么区别与联系?请赐教!
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young_china

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Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing, in which a "smooth" function is constructed that approximately fits the data. A related topic is regression analysis, which focuses more on questions of statistical inference such as how much uncertainty is present in a curve that is fit to data observed with random errors. Fitted curves can be used as an aid for data visualization, to infer values of a function where no data are available, and to summarize the relationships among two or more variables. Extrapolation refers to the use of a fitted curve beyond the range of the observed data, and is subject to a greater degree of uncertainty since it may reflect the method used to construct the curve as much as it reflects the observed data.
cite:http://blog.sina.com.cn/s/blog_53b8f53e0102e1pw.html ,我觉得这个说的很明确
9楼2012-12-28 10:43:52
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xcwhss

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cailianguo(金币+3): 2012-03-08 14:29:41
拟合是是两变量间关系
回归带有随机性是随机变量与一般变量或都是随机变量间的关系
2楼2012-03-07 23:37:23
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tanxuegang

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cailianguo(金币+1): 2012-03-08 14:29:47
楼主可找点数值计算的书看看
3楼2012-03-07 23:58:55
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绿色的心情

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cailianguo(金币+4): 2012-03-08 14:30:02
拟合是一种数据处理的方式。简单的说就是你有一组数据,觉得这组数据和一个已知的函数(这个函数的参数未定)很相似,为了得到最能表示这组数据特征的这个函数,通过拟合这种方式(具体的数学方法很多)求得参数。

而回归是一种特定的数学方法,它可以实现数据拟合,得到函数的参数。

也有些拟合得到的参数并非是函数的参数,如神经网络,得到的是这个神经网络的参数。
4楼2012-03-08 00:42:07
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