Find the key for vector transformation

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Ali 2022-9-27

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https://ww2.mathworks.cn/matlabcentral/answers/1813280-find-the-key-for-vector-transformation

评论： Ali 2022-11-27

Hello friends, Below is the optimization work. Even though I woked with fminsearch and similar tools, I cannot figure this out. Any help? Thank you very much. A & B & KEY are vectors of same length. the KEY is unknown. find the KEY such that minimize the function B-A(KEY).

clc;clear
A= [25 21.2 0.4 3.5 15 60 14 8.1 16.9 1.1];
KEY= [3 5 8 1 10 9 7 6 2 4];
B= A(KEY) + rand(1,10);

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采纳的回答

Walter Roberson 2022-9-27

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https://ww2.mathworks.cn/matlabcentral/answers/1813280-find-the-key-for-vector-transformation#answer_1061985

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You do not want to minimize B-A(KEY): those are vectors and you cannot minimize a vector.

A= [25 21.2 0.4 3.5 15 60 14 8.1 16.9 1.1];
KEY= [3 5 8 1 10 9 7 6 2 4];
B= A(KEY) + rand(1,10);
Kp = perms(KEY);
values = sum((B - A(Kp)).^2,2);
[bestresult, idx] = min(values);
bestresult
bestresult = 3.4348
Kp(idx,:)
ans = 1×10
     3     5     8     1    10     9     7     6     2     4