{ "id": "2102.09510", "version": "v1", "published": "2021-02-18T17:52:32.000Z", "updated": "2021-02-18T17:52:32.000Z", "title": "How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs", "authors": [ "M. Bernaschi", "M. Bisson", "M. Fatica", "E. Marinari", "V. Martin-Mayor", "G. Parisi", "F. Ricci-Tersenghi" ], "comment": "7 pages, 7 figure, EPL format + SM (2 pages)", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech", "cs.DC", "cs.DS", "physics.comp-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2021-02-18T17:52:32.000Z" } ], "analyses": { "keywords": [ "energy landscape", "efficient implementation", "random first order transition", "rough energy function", "algorithmic performances" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }