randomrowspacedirection.m

a function inside machine learning

function u = randomRowSpaceDirection(X, Y)
%A function to compute a vector with a random direction, but in the row
%space of X. The vector has norm 1;  
%
%inputs 
%X data matrix with examples as rows 
%Y labels matrix with output as rows 
%
%outputs 
%u the vector which maximises the emperical target alignment between X and Y 

alpha = rand(size(X, 1), 1)-0.5; 
u = X'*alpha; 

u = u/norm(u);