Two types of representation theorems are first proved for each class of decision processes: one is the w (weak)-representation theorem which is a necessary and ...
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Since we are mainly concerned with optimal policies in most of practical optimization problems, w-representation theorems may be used to modify a given problem ...
Aug 23, 2015 · Although equivalent, the objective function of the second problem is continuously differentiable, therefore the second problem is much easier to solve.
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Mar 3, 2021 · Two optimization problems are Equivalent if a solution (algorithm/black box) to one can be used to construct a solution to the other. 1 (both ...
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Jan 13, 2015 · It means there exist a transformation rule transforming each feasible point of one problem to a feasible point of the other one.
Jun 10, 2015 · The optimal values of the two optimization problems are not identical. Consider for example J=3, A1=(10) and A2=A3=(01).
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So now we have established what a representation theorem is: an equivalence result between a set of observable axioms and a representation - a behavioral ...
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Dec 26, 2020 · My best example for this is Lusin's theorem on measurable functions - every measurable function is "almost continuous".
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Posted: Jul 31, 2022
Posted: Jul 31, 2022
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We use the (nonstandard) notation P1 ˙∼P2 to say that P1 and P2 are equivalent. (a) Eliminating (or adding) equality constraints: When a problem contains ...