arXiv:2510.23221cs.AIphysics.comp-ph2025-10

用新算法420倍提速芯片热仿真数据生成,精度更高。

Accelerating IC Thermal Simulation Data Generation via Block Krylov and Operator Action

  • 基于热方程结构的块克雷洛夫算法快速生成基础解。
  • 结合物理约束生成大量精确温度分布,420倍加速数据生成。
  • 适合需要高效训练数据的芯片热仿真研究者使用。

近年来,基于数据驱动的方法(如神经算子)在降低集成电路(IC)热仿真求解时间方面表现出显著效果。然而,这些方法依赖大量高保真训练数据(如芯片参数与温度分布),导致计算成本高昂。为此,本文提出一种名为块克雷洛夫与算子作用(BlocKOA)的新算法,可同时加速数据生成过程并提升生成数据的精度。BlocKOA专为IC应用设计:首先利用基于热方程结构的块克雷洛夫算法快速获取少量基础解;随后将其组合生成满足物理约束的多种温度分布;最后通过施加热算子确定热源分布,高效生成精确数据点。理论分析表明,BlocKOA的时间复杂度比现有方法低一个数量级。实验验证其效率:在生成5000个具有不同物理参数和结构的芯片热仿真数据时,实现420倍速度提升;仅需4%的生成时间,基于BlocKOA生成的数据训练的数据驱动模型性能即可媲美传统方法。

原文摘要 · Abstract (English)

Recent advances in data-driven approaches, such as neural operators (NOs), have shown substantial efficacy in reducing the solution time for integrated circuit (IC) thermal simulations. However, a limitation of these approaches is requiring a large amount of high-fidelity training data, such as chip parameters and temperature distributions, thereby incurring significant computational costs. To address this challenge, we propose a novel algorithm for the generation of IC thermal simulation data, named block Krylov and operator action (BlocKOA), which simultaneously accelerates the data generation process and enhances the precision of generated data. BlocKOA is specifically designed for IC applications. Initially, we use the block Krylov algorithm based on the structure of the heat equation to quickly obtain a few basic solutions. Then we combine them to get numerous temperature distributions that satisfy the physical constraints. Finally, we apply heat operators on these functions to determine the heat source distributions, efficiently generating precise data points. Theoretical analysis shows that the time complexity of BlocKOA is one order lower than the existing method. Experimental results further validate its efficiency, showing that BlocKOA achieves a 420-fold speedup in generating thermal simulation data for 5000 chips with varying physical parameters and IC structures. Even with just 4% of the generation time, data-driven approaches trained on the data generated by BlocKOA exhibits comparable performance to that using the existing method.

热仿真数据生成加速算法

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