how to get a transformation matrix

Hi,all, i have two group of vectors(group A and group B), each group contains 30,000 vectors,the dimension of each vector is 20. I want to train a transformation matrix which is transform group A to group B, is there any function can do this in MatLab, any suggestion would be helpful,thank you!

Answer 1

[Kautuk Raj]

To train a transformation matrix that maps vectors from group A to group B in MATLAB, the Procrustes analysis function procrustes can be used. The documentation page explains this with an example.

The following code reproduces your use case and applies the process.

A = rand(30000, 20);
B = rand(30000, 20);
[~, T] = procrustes(A, B);
A_transformed = A * T.T;

This will transform each vector in group A so that it aligns with the corresponding vector in group B.