Obtaining a scalar value from a vector output

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Sergio
Sergio 2024-4-4
评论： Voss 2024-4-4
Hi, with the given files, if you run test-modified.m and then enzymeLeastSquares.m, you obtain the necessary inputs for running
enzymeGeneral.m
So when running finally enzymeGeneral.m, it outputs F and G.
However, the output from enzymeGeneral.m should be the scalar value of the objective F and the corresponding 2x1 gradient G.
The first I get by doing
F=norm((1/2)*(sum(y0_all)).^2)
which gives the scalar value of F. However, the correspondikng 2x1 gradient G is not returned. What is the right command? Do anyone have a link to a MATLAB page that shows the relevant command?
Thanks

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Voss
Voss 2024-4-4
编辑：Voss 2024-4-4
Ran in:
% take a look at what enzymeGeneral.m is
type enzymeGeneral.m
function [result,grad_all] = enzymeGeneral(k) N = 4; % number of experiments result = zeros(2*N,1); % pre-allocate result arrays grad_all = zeros(2*N,2); dt=0.01; T=1; %k=[5;1]; y0_all = [2 1 1 4; 1 1 0 1]; y1_all = [1.0 0.5 0.3 2.4; 2.1 1.6 0.9 2.7]; for ii = 1:N y0 = y0_all(:,ii); y1 = y1_all(:,ii); [SP,grad]=enzyme(y0,k,dt,T); result((ii-1)*2+[1 2]) = y1-SP; grad_all((ii-1)*2+[1 2],:) = -grad; end F = (1/2)*(sum(y0_all)).^2 G = (sum(y0_all)).*(y1_all).*(y0_all)
If you want enzymeGeneral to return the F and G it calculates, change its first line to:
function [F,G] = enzymeGeneral(k)
But then, result and grad_all are calculated for no reason and the input k is unused, so I'm not sure if that's what you want.
Anyway, here's the relevant documentation:
https://www.mathworks.com/help/matlab/ref/function.html
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