Optimal selection from function set. A selection matrix is calculated by optimizing the constrain objective function.

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chen jiyuan 2021-11-10

编辑： chen jiyuan 2021-11-12

There are four functions, expressed as

,i=1,2,...,I, and where u=[-1 1],(code in [-1:0.01:1]),I=4,

{0.1 0.11 0.12 0.13}.

Define another function

, p=1,2,...,P, P=64 and

is a random number between [0.4 0.5].

The question is how to choice a

in each p to achive the objective function

where

[-1,0] and

[0.15 1],

is one of {

The output can be a matrix

in which only one element in each row is 1 and the rest are 0, that is, if

=1, the ith function is selected for the pth calculation.

Sargondjani 2021-11-10

Nice homework. What did you try so far?

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