arXiv:2601.21058cs.LG2026-01

Snowball通过双模式采样与异步更新,大幅加速组合优化求解。

Snowball: A Scalable All-to-All Ising Machine with Dual-Mode Markov Chain Monte Carlo Spin Selection and Asynchronous Spin Updates for Fast Combinatorial Optimization

  • 双模式MCMC选自旋,异步更新避免震荡
  • 在相同测试集上比现有机器快8倍
  • 数字架构支持高精度耦合系数配置

Ising机器作为组合优化加速器已崭露头角。为实现实际部署,本文针对三大挑战展开:(1)硬件拓扑限制,(2)自旋选择与更新算法效率,(3)可扩展的耦合系数精度。受限拓扑需嵌入映射;朴素并行更新易导致振荡或停滞;精度不足则可能无法实现可行映射或降低解质量。本文提出Snowball,一种数字可扩展、全连接的Ising机器,集成双模式马尔可夫链蒙特卡洛自旋选择与异步自旋更新机制,提升收敛速度并缩短求解时间。其数字架构支持宽范围可配置的耦合精度,优于多数高比特位数的模拟实现。在AMD Alveo U250加速卡上的原型系统,在相同基准实例上相较当前最优Ising机器实现8倍时间节省。

原文摘要 · Abstract (English)

Ising machines have emerged as accelerators for combinatorial optimization. To enable practical deployment, this work aims to reduce time-to-solution by addressing three challenges: (1) hardware topology, (2) spin selection and update algorithms, and (3) scalable coupling-coefficient precision. Restricted topologies require minor embedding; naive parallel updates can oscillate or stall; and limited precision can preclude feasible mappings or degrade solution quality. This work presents Snowball, a digital, scalable, all-to-all coupled Ising machine that integrates dual-mode Markov chain Monte Carlo spin selection with asynchronous spin updates to promote convergence and reduce time-to-solution. The digital architecture supports wide, configurable coupling precision, unlike many analog realizations at high bit widths. A prototype on an AMD Alveo U250 accelerator card achieves an 8$\times$ reduction in time-to-solution relative to a state-of-the-art Ising machine on the same benchmark instance.

组合优化伊辛机加速器采样算法

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