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Binary optimization by momentum annealing.

Takuya Okuyama1, Tomohiro Sonobe2, Ken-Ichi Kawarabayashi2

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Summary
This summary is machine-generated.

Momentum annealing (MA) is a new parallel computing algorithm for solving complex optimization problems. This GPU-accelerated method is 250x faster than simulated annealing (SA) for large Ising models.

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Area of Science:

  • Computational physics
  • Quantum computing algorithms
  • Optimization techniques

Background:

  • Combinatorial optimization problems are crucial in computing.
  • Simulated annealing (SA) is a common method but struggles with parallelization.
  • Mapping optimization to Ising models is an active research area.

Purpose of the Study:

  • To develop a novel, parallelizable algorithm for large-scale combinatorial optimization.
  • To overcome the limitations of simulated annealing in parallel processing.
  • To leverage GPU computing for faster optimization solutions.

Main Methods:

  • Proposed a new algorithm: momentum annealing (MA).
  • MA updates all spins of fully connected Ising models simultaneously.
  • Implemented MA on Graphics Processing Units (GPUs) for parallel computation.

Main Results:

  • MA demonstrates significant speedup compared to SA.
  • Achieved 250x faster performance than SA on a modern CPU.
  • Successfully solved 100,000-spin Ising models efficiently using parallel GPUs.

Conclusions:

  • Momentum annealing offers a highly efficient parallel approach for optimization.
  • GPU implementation of MA drastically reduces computation time for large Ising models.
  • MA represents a significant advancement in computational optimization strategies.