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An ASIC Emulated Oscillator Ising/Potts Machine Solving Combinatorial Optimization Problems

Hardware Architecture 2026-04-16 v1 Emerging Technologies

Abstract

Oscillator-based Ising/Potts machines (OIMs/OPMs) are promising hardware accelerators for NP-hard combinatorial optimization problems using coupled oscillator synchronization dynamics. Analog OIMs/OPMs offer speed advantages but have limited coupling resolution, process variation susceptibility, and scalability issues, while digital GPU/CPU emulations provide flexibility but suffer from irregular memory access patterns and energy inefficiency. This work presents a custom ASIC architecture that digitally emulates OIM/OPM dynamics using simplified fixedpoint Kuramoto model equations. The scalable design features processing elements with direct interconnections, eliminating shared memory bottleneck while maintaining digital programmability and precision. A 20x20 processing element array with king's graph connectivity is prototyped and evaluated via post-layout simulations on unweighted/weighted max-cut and graph coloring problems, achieving 97-100% maximum accuracy with significant speed and energy improvements over general-purpose platforms, demonstrating the viability of algorithmically codesigned ASICs.

Keywords

Cite

@article{arxiv.2604.14027,
  title  = {An ASIC Emulated Oscillator Ising/Potts Machine Solving Combinatorial Optimization Problems},
  author = {Yilmaz Ege Gonul and Baris Taskin},
  journal= {arXiv preprint arXiv:2604.14027},
  year   = {2026}
}

Comments

5 pages, 3 figures, will appear at ISCAS 2026

R2 v1 2026-07-01T12:11:01.386Z