How we are leading a 3-XORSAT challenge: From the energy landscape to the algorithm and its efficient implementation on GPUs
Abstract
A recent 3-XORSAT challenge required to minimize a very complex and rough energy function, typical of glassy models with a random first-order transition and a golf-course-like energy landscape. We present the ideas beyond the quasi-greedy algorithm and its very efficient implementation on GPUs that are allowing us to rank first in such a competition. We suggest a better protocol to compare algorithmic performances and we also provide analytical predictions about the exponential growth of the times to find the solution in terms of free-energy barriers. Contribution to the Focus Issue Progress on Statistical Physics and Complexity edited by Roberta Citro, Giorgio Kaniadakis, Claudio Guarcello, Antonio Maria Scarfone and Davide Valenti.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- March 2021
- DOI:
- 10.1209/0295-5075/133/60005
- arXiv:
- arXiv:2102.09510
- Bibcode:
- 2021EL....13360005B
- Keywords:
-
- 02.70.-c;
- 02.60.Pn;
- 64.60.My;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics;
- Computer Science - Distributed;
- Parallel;
- and Cluster Computing;
- Computer Science - Data Structures and Algorithms;
- Physics - Computational Physics
- E-Print:
- 7 pages, 7 figure, EPL format + SM (2 pages)