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arXiv · 2102.09510

How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs

M. Bernaschi·M. Bisson·M. Fatica·E. Marinari·V. Martin-Mayor·G. Parisi·F. Ricci-Tersenghi
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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.

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BibTeXRIS

M. Bernaschi, M. Bisson, M. Fatica, E. Marinari, V. Martin-Mayor, G. Parisi, F. Ricci-Tersenghi. 2021-02-18. How we are leading a 3-XORSAT challenge: from the energy landscape to the algorithm and its efficient implementation on GPUs. https://doi.org/10.1209/0295-5075/133/60005

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