r=Az, solve for A

Hello, I am not a math guru, and I could use your help.

I have a large dataset:

r is a 97x5824 matrix (neuronal spikes)

z is a 4x5824 matrix (dimensions of an robotic arm movement)

I have the linear equation

r = A * z

How do I solve for matrix A? It should be 97x4, correct?

Answer 1

[Walter Roberson]

It is unlikely there is an exact solution. You can try

A = r/z;

Note that this is not r ./ z

Answer 2

[jm]

I've been asked to use an optimal linear estimator. I see no OLE function on Matlab, nor any function via MathWorks. Any ideas?

The cited paper is Vector reconstruction from firing rates, Salinas et al, 1994

[Adam Danz]

Salinas & Abbott (1994)

Cited at least 500 times (many articles, including the Salinas & Abbott paper, apply the OLE to arm (and finger) movement decoding).

The OLE code I have is from a collaboration and I'm not certain the others want it public. If you have specific questions, feel free to follow up.