如何将向量归一化/去归一化到[-1; 1]

问题描述

如何将向量归一化为[-1;1]

我想使用功能norm，因为它会更快.

I would like to use function norm, because it will be faster.

还要让我知道如何在归一化之后对向量进行去归一化吗?

Also let me know how I can denormalize that vector after normalization?

推荐答案

norm归一化向量，使其平方和为1.

norm normalizes a vector so that its sum of squares are 1.

如果要对向量进行归一化，使其所有元素都在0到1之间，则需要使用最小值和最大值，然后可以使用它们再次进行非归一化.

If you want to normalize the vector so that all its elements are between 0 and 1, you need to use the minimum and maximum value, which you can then use to denormalize again.

%# generate some vector
vec = randn(10,1);

%# get max and min
maxVec = max(vec);
minVec = min(vec);

%# normalize to -1...1
vecN = ((vec-minVec)./(maxVec-minVec) - 0.5 ) *2;

%# to "de-normalize", apply the calculations in reverse
vecD = (vecN./2+0.5) * (maxVec-minVec) + minVec

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