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Find min and max in groups

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Sergio Rojas Blanco
Sergio Rojas Blanco el 14 de Mayo de 2024
Comentada: Sergio Rojas Blanco el 15 de Mayo de 2024
I have 2 vectors of equal dimension, A and B. To each value of A corresponds a value of B, but equal values of A can correspond to different values of B.
I need to obtain a cell array, "Min", whose cells are vectors with the indexes of the minimum values of B and another cell array, "Max", with the maximum values. The position in each cell array is indicated by the value of A.
For example, if
A = [12, 11, 12, 5, 3, 10, 5]; B = [0.1, 0.1, 0.1, 0.7, 0.4, 0.3, 0.2]
Then:
Min = {0 ,0 ,5 ,0 ,4 ,0 ,0 ,0 ,0 ,6 ,2 ,(1, 3)}; Max = {0 ,0 ,5 ,0 ,4 ,0 ,0 ,0 ,0 ,0 ,0 ,2 ,(1, 3)}
Because of:
a_1 = 12 ; b_1 = 0.1
a_3 = 12 ; b_3 = 0.1
min(0.1, 0,1) = 0.1 => C_12 = (1, 3); max(0.1, 0.1) = 0.1 => D_12 = (1, 3)
a_2 = 11 ; b_2 = 0.1
min(0.1) = 0.1 => C_11 = (2); max(0.1) = 0.1 => D_11 = 2
...
Intiutively, it seems that it could be done in batch using groups.
Would anyone know how to do it? Thanks in advance

Respuesta aceptada

Stephen23
Stephen23 el 14 de Mayo de 2024
Editada: Stephen23 el 14 de Mayo de 2024
A = [12, 11, 12, 5, 3, 10, 5];
B = [0.1, 0.1, 0.1, 0.7, 0.4, 0.3, 0.2];
X = 1:numel(A);
Fmax = @(x){x(max(B(x))==B(x))};
Fmin = @(x){x(min(B(x))==B(x))};
Cmax = accumarray(A(:),X(:),[],Fmax,{0});
Cmax{:}
ans = 0
ans = 0
ans = 5
ans = 0
ans = 4
ans = 0
ans = 0
ans = 0
ans = 0
ans = 6
ans = 2
ans = 2x1
1 3
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
Cmin = accumarray(A(:),X(:),[],Fmin,{0});
Cmin{:}
ans = 0
ans = 0
ans = 5
ans = 0
ans = 7
ans = 0
ans = 0
ans = 0
ans = 0
ans = 6
ans = 2
ans = 2x1
1 3
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
  1 comentario
Sergio Rojas Blanco
Sergio Rojas Blanco el 15 de Mayo de 2024
Thank you very much. it works perfectly and elegantly!
You answer everything :D

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