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I am seeking for a linear programming expression for the following expression: enter image description here

B(x) is the neighborhod of f(y) (where delta is the size of the neighborhod). It can be an area or a volume.

The main idea behind the function is to average the value of f(y).

Would be a big help! Thanks!

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  • $\begingroup$ What have you tried? Also, what makes you think the problem can be linearized? For example, if the support of $y$ is not convex, then neither is the objective function, strongly suggesting a linearization is not possible without additonal restrictions. $\endgroup$ – nathan.j.mcdougall Jan 29 at 22:58

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