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Admissible decision rule, in statistical decision theory, a rule which is never dominated; Admissible rule, in logic, a type of rule of inference; Admissible heuristic, in computer science, is a heuristic which is no more than the lowest-cost path to the goal; Admissible prime k-tuple, in number theory regarding possible constellations of prime ...
In mathematical optimization and computer science, heuristic (from Greek εὑρίσκω "I find, discover" [1]) is a technique designed for problem solving more quickly when classic methods are too slow for finding an exact or approximate solution, or when classic methods fail to find any exact solution in a search space.
"Hearsay is a statement, other than one made by the declarant while testifying at the trial or hearing, offered in evidence to prove the truth of the matter asserted." [1] Per Federal Rule of Evidence 801(d)(2)(a), a statement made by a defendant is admissible as evidence only if it is inculpatory; exculpatory statements made to an investigator are hearsay and therefore may not be admitted as ...
The basic question about admissible rules of a given logic is whether the set of all admissible rules is decidable. Note that the problem is nontrivial even if the logic itself (i.e., its set of theorems) is decidable : the definition of admissibility of a rule A / B involves an unbounded universal quantifier over all propositional substitutions.
Thus an admissible decision rule is a maximal element with respect to the above partial order. An inadmissible rule is not preferred (except for reasons of simplicity or computational efficiency), since by definition there is some other rule that will achieve equal or lower risk for all θ {\displaystyle \theta \,\!} .
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An admissible heuristic is used to estimate the cost of reaching the goal state in an informed search algorithm.In order for a heuristic to be admissible to the search problem, the estimated cost must always be lower than or equal to the actual cost of reaching the goal state.