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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.
A search algorithm is said to be admissible if it is guaranteed to return an optimal solution. If the heuristic function used by A* is admissible, then A* is admissible. An intuitive "proof" of this is as follows: Call a node closed if it has been visited and is not in the open set.
A widely used and important example of a heuristic argument is Occam's Razor. It is a speculative, non-rigorous argument that relies on analogy or intuition, and that allows one to achieve a result or an approximation that is to be checked later with more rigor. Otherwise, the results are generally to be doubted.
The availability heuristic (also known as the availability bias) is the tendency to overestimate the likelihood of events with greater "availability" in memory, which can be influenced by how recent the memories are or how unusual or emotionally charged they may be. [20] The availability heuristic includes or involves the following:
An example of how persuasion plays a role in heuristic processing can be explained through the heuristic-systematic model. [108] This explains how there are often two ways we are able to process information from persuasive messages, one being heuristically and the other systematically.
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Comparison of an admissible but inconsistent and a consistent heuristic evaluation function. Consistent heuristics are called monotone because the estimated final cost of a partial solution, () = + is monotonically non-decreasing along any path, where () = = (,) is the cost of the best path from start node to .
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 numbers; Admissible set, in mathematical logic, a transitive set satisfying the axioms of Kripke-Platek set theory