Computer Science – Computational Complexity
Scientific paper
2000-10-16
Computer Science
Computational Complexity
Scientific paper
Different mathematical models of recognition processes are known. In the present paper we consider a pattern recognition algorithm as an oracle computation on a Turing machine. Such point of view seems to be useful in pattern recognition as well as in recursion theory. Use of recursion theory in pattern recognition shows connection between a recognition algorithm comparison problem and complexity problems of oracle computation. That is because in many cases we can take into account only the number of sign computations or in other words volume of oracle information needed. Therefore, the problem of recognition algorithm preference can be formulated as a complexity optimization problem of oracle computation. Furthermore, introducing a certain "natural" preference relation on a set of recognizing algorithms, we discover it to be nontransitive. This relates to the well known nontransitivity paradox in probability theory. Keywords: Pattern Recognition, Recursion Theory, Nontransitivity, Preference Relation
No associations
LandOfFree
Oracle Complexity and Nontransitivity in Pattern Recognition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Oracle Complexity and Nontransitivity in Pattern Recognition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oracle Complexity and Nontransitivity in Pattern Recognition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-361379