Need help substituting vector variables into symbolic expression

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Jason Bakos
Jason Bakos 2024-2-3
评论： Aquatris 2024-2-3
Hello!
I have a symbolic expression into which I would like to substitute two vector variables:
syms x w1 b1
l1 = tanh(x * w1 + b1);
w1_actual = rand(1,10);
temp = subs(l1,w1,w1_actual);
This correctly generates a 1x10 symbolic array, but when performing the second substitution:
b1_actual = zeros(1,10);
l1_sym = subs(temp,b1,b1_actual);
This generates a 1x100 symbolic array because the 1x10 vector is expanded in each element.
I want the result of both substitutions to yield a 1x10 array, as is the case for the expression:
l1 = x * w1_actual + b1_actual;
I tried making both substitutions simultaneously:
l1 = subs(l1,[w1,b1],[w1_actual,b1_actual]);
but this resulted in the error:
Inconsistency between sizes of second and third arguments.
I also tried declaring the symbols as symmatrices:
syms x [1 1] matrix
syms w1 [1 10] matrix
syms b1 [1 10] matrix
But this prevents subs() from performing any substitutions for either the w1 and b1 variables.
Thank you in advance!
  1 个评论
Aquatris
Aquatris 2024-2-3
Ran in:
Seems to work fine however when substituting matrices, you need to clarify where a matrix starts and ends, which is done via cell arrays
syms x w1 b1
l1 = tanh(x * w1 + b1);
w1_actual = rand(1,10);
b1_actual = zeros(1,10);
temp = subs(l1,[w1 b1],{w1_actual, b1_actual});
size(temp)
ans = 1×2
1 10

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回答（3 个）

Paul
Paul 2024-2-3
编辑：Paul 2024-2-3
Ran in:
syms x y
Option 1. Use a symbolic function
z(x,y) = x + y
z(x, y) = 
z([1 2],[100 200])
ans = 
Option 2. Symbolic expression, subs with a cell array
z = x + y;
subs(z,{x y},{[1 2],[100 200]})
ans = 
Torsten
Torsten 2024-2-3
Ran in:
syms x w1 b1
l1 = tanh(x * w1 + b1);
b1_actual = zeros(1,10);
w1_actual = rand(1,10);
l1_actual = arrayfun(@(i)subs(l1,[w1,b1],[w1_actual(i),b1_actual(i)]),1:10)
l1_actual = 
Star Strider
Star Strider 2024-2-3
编辑：Star Strider 2024-2-3
Ran in:
I may be missing something in your problem statement.
Is this what you want to do —
syms x w1 b1
l1 = tanh(x * w1 + b1);
w1_actual = randi(9,1,10)
w1_actual = 1×10
4 7 9 3 9 1 9 9 2 1
b1_actual = randi(9,1,10)
b1_actual = 1×10
1 4 4 9 6 2 5 8 3 8
temp = subs(l1,{w1,b1},{w1_actual,b1_actual})
temp = 
.

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