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In-Materia Annealing and Combinatorial Optimization Based on Vertical Memristive Array.

Soo Hyung Lee1, Sunwoo Cheong1, Jea Min Cho1

  • 1Department of Materials Science and Engineering and Inter-University Semiconductor Research Center, College of Engineering, Seoul National University, Seoul, 08826, Republic of Korea.

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Summary
This summary is machine-generated.

This study introduces "in-materia annealing" using memristive crossbar arrays (CBAs) for efficient combinatorial optimization. This novel method leverages device physics to reduce software fine-tuning, achieving notable results in complex problems.

Keywords:
combinatorial optimizationin‐materia annealingmatrix multiplicationsimulated annealingvertical structure

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Area of Science:

  • Materials Science
  • Computer Engineering
  • Computational Science

Background:

  • Memristive crossbar arrays (CBAs) offer area and energy efficiency for optimization tasks.
  • Conventional methods require extensive software fine-tuning for annealing processes.

Purpose of the Study:

  • To introduce and validate an
  • in-materia annealing
  • method for combinatorial optimization using memristive CBAs.
  • To demonstrate control over annealing profiles via physical parameters.
  • To reduce software burden in solving complex optimization problems.

Main Methods:

  • Utilizing inter-layer interference in vertically stacked memristive CBAs for annealing.
  • Mapping combinatorial optimization problems to the CBA configuration layer.
  • Generating exponentially decaying annealing profiles in noise layers.
  • Controlling annealing profiles by adjusting compliance current, read voltage, and read pulse width.

Main Results:

  • Successfully generated controllable and cell-individual annealing profiles.
  • Demonstrated rich noise sources for efficient problem-solving.
  • Achieved notable results in experimental and simulation studies of Max-Cut and weighted Max-Cut problems.

Conclusions:

  • The
  • in-materia annealing
  • method offers an efficient, hardware-based approach to combinatorial optimization.
  • This technique significantly reduces the reliance on software fine-tuning.
  • Memristive CBAs can be effectively utilized for complex optimization tasks with minimal software intervention.