matrix multiplication with probability
6 visualizzazioni (ultimi 30 giorni)
Mostra commenti meno recenti
Santhosh Chandrasekar
il 11 Feb 2018
Commentato: Santhosh Chandrasekar
il 14 Feb 2018
Hi, I want to assign a probability of multiplication for each value in a 3X3 matrix and multiply it by a random number. Can anyone please help me with this.
2 Commenti
Risposta accettata
Roger Stafford
il 12 Feb 2018
Modificato: Roger Stafford
il 12 Feb 2018
If p is a matrix the same size as A with the probability values you describe, do this:
SA = size(A);
a = rand(SA);
A = A + (A.*a-A).*(rand(SA)<=p);
At each element of A it is multiplied by the random number in ’a’ with probability in the corresponding element in p. Otherwise the element is unchanged.
It is possible you meant 'a' to be a single random scalar value rather than a matrix of them. If so, change the code to:
a = rand;
A = A + ((a-1)*A).*(rand(size(A))<=p);
3 Commenti
Roger Stafford
il 12 Feb 2018
I will help with your comment request by showing you how to produce an index with the requested probabilities. You can then use that index in dealing appropriately with your matrix A.
P = [.1;.2;.3];
CP = cumsum(P);
r = rand;
ix = sum(CP<=r)+1;
Given the values in P, the index ‘ix’ will assume the values 1, 2, 3, or 4 with respective probabilities .1, .2, .3, and 1-(.1+.2+.3)=.4 . If you wish to do something in the case ix=4, you can write
if ix<=3
% Handle the ix = 1,2,3 cases
else
% Handle the ix = 4 case
end
Otherwise, just omit the ‘else’ part.
Più risposte (1)
Jan
il 11 Feb 2018
Maybe:
A = [1 0.5 1; 0.6 0.3 0.4; 0.4 0.5 1];
for k = 1:10
a = rand;
B = A * a;
...
end
1 Commento
Vedere anche
Categorie
Scopri di più su Creating and Concatenating Matrices in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!