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Properties of Heuristic Functions, Lecture notes of Algorithms and Programming

A key property of a heuristic function is that it has to be admissible. By admissible we mean that the function never overestimates. In other ...

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2021/2022

Uploaded on 09/27/2022

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9/10/20
1
Properties)of)Heuristic)
Functions
MICHAEL)WOLLOWSKI
Introduction
We(will(now(look(at(three(properties(of(heuristic(functions:
Informedness
Admissible
pf3

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Properties of Heuristic

Functions

MICHAEL WOLLOWSKI

Introduction

We will now look at three properties of heuristic functions: ◦ Informedness ◦ Admissible

Informedness

Let’s consider the following heuristic function: h = 0. It is very optimistic, it always assumes we have reached the goal. However, it brings us back to uniform-cost search. It is just not as informed as the straight-line distance heuristic. As you can imagine, there are other heuristics that are more or less informed. Informedness can be visualized as the width of our ellipses, the smaller the width, the more informed a heuristic is.

Admissibility

A key property of a heuristic function is that it has to be admissible. By admissible we mean that the function never overestimates. In other words, it always has to underestimate the remaining cost.