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2 claims from 1 paper

1. Physics and Astronomy › Theoretical and Computational Physics

   Wishart planted ensemble: A tunably rugged pairwise Ising model with a first-order phase transition

   Hamze, Raymond, Pattison, Biswas and Katzgraber · Physical review. E · 2020

   The authors propose the Wishart planted ensemble, Ising problems with a planted ground state and tunable hardness, and analyse its thermodynamics, first-order transition and easy-hard-easy difficulty profile.

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   1. UncheckedThe Wishart planted ensemble of Ising models shows a classical first-order phase transition as temperature is varied.“The class exhibits a classical first-order phase transition in temperature.”
   2. UncheckedThe Wishart planted ensemble of Ising problems varies widely in difficulty with a generation parameter, hardest at an intermediate value.“The class exhibits a wide variation in algorithmic hardness as a generation parameter is varied, with a pronounced easy-hard-easy profile and peak in solution time towering many orders of magnitude over that of the easy regimes.”