How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs
Disordered Systems and Neural Networks
2021-06-24 v2 Statistical Mechanics
Distributed, Parallel, and Cluster Computing
Data Structures and Algorithms
Computational Physics
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.
Keywords
Cite
@article{arxiv.2102.09510,
title = {How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs},
author = {M. Bernaschi and M. Bisson and M. Fatica and E. Marinari and V. Martin-Mayor and G. Parisi and F. Ricci-Tersenghi},
journal= {arXiv preprint arXiv:2102.09510},
year = {2021}
}
Comments
7 pages, 7 figure, EPL format + SM (2 pages)