Solving the Conjugacy Decision Problem via Machine Learning
نویسندگان
چکیده
منابع مشابه
Solving the Conjugacy Decision Problem via Machine Learning
Machine learning and pattern recognition techniques have been successfully applied to algorithmic problems in free groups. In this paper, we seek to extend these techniques to finitely presented non-free groups, with a particular emphasis on polycyclic and metabelian groups that are of interest to non-commutative cryptography. As a prototypical example, we utilize supervised learning methods to...
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1 We present a solution to the conjugacy decision problem and the conjugacy search problem 2 in Garside groups, which is theoretically simpler than the usual one, with no loss of efficiency. 3 This is done by replacing the well known cycling and decycling operations by a new one, 4 called cyclic sliding, which appears to be a more natural choice. 5 We give an analysis of the complexity of our a...
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2018
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2018.1434704