Publications by authors named "Firas Hamze"

Article Synopsis
  • * This paper presents a formal approach for creating optimal annealing schedules in multidimensional parameter spaces, leveraging concepts from nonequilibrium statistical mechanics.
  • * The study compares the efficiency of population annealing to multiple weighted runs of simulated annealing, highlighting the impact of nonergodicity on algorithm performance, backed by numerical simulations of spin glasses.
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Article Synopsis
  • The Wishart planted ensemble is a type of zero-field Ising model that allows control over algorithmic difficulty and has a specified ground state, stemming from a method for creating random integer programming challenges with unique statistical traits.
  • This model involves only 2-spin interactions with a coupler matrix based on a Wishart distribution and shows a classical first-order phase transition influenced by temperature, demonstrating complex properties linked to finding its ground state.
  • Detailed analyses, including the derivation of thermodynamic properties and Monte Carlo simulations, highlight the model’s varying algorithmic hardness, with distinct “easy-hard-easy” patterns and an increase in problem difficulty as system size grows.
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We investigate the computational hardness of spin-glass instances on a square lattice, generated via a recently introduced tunable and scalable approach for planting solutions. The method relies on partitioning the problem graph into edge-disjoint subgraphs and planting frustrated, elementary subproblems that share a common local ground state, which guarantees that the ground state of the entire problem is known a priori. Using population annealing Monte Carlo, we compare the typical hardness of problem classes over a large region of the multidimensional tuning parameter space.

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We present a methodology for generating Ising Hamiltonians of tunable complexity and with a priori known ground states based on a decomposition of the model graph into edge-disjoint subgraphs. The idea is illustrated with a spin-glass model defined on a cubic lattice, where subproblems, whose couplers are restricted to the two values {-1,+1}, are specified on unit cubes and are parametrized by their local degeneracy. The construction is shown to be equivalent to a type of three-dimensional constraint-satisfaction problem known as the tiling puzzle.

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Listeria monocytogenes (LM), a Gram-positive facultative intracellular bacterium, can be used as an effective exogenous antigen expression vector in tumor-target therapy. But for successful clinical application, it is necessary to construct attenuated LM stain that is safe yet retains the potency of LM based on the full virulent pathogen. In this study, attenuated LM and recombinants of LM expressing melanoma inhibitory activity (MIA) were constructed successfully.

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