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

TL;DR

This paper introduces BlocKOA, a novel algorithm that significantly accelerates IC thermal simulation data generation while maintaining high accuracy, enabling more efficient training of neural operators for IC thermal analysis.

Contribution

The paper presents BlocKOA, a new method combining block Krylov and operator actions to rapidly generate high-fidelity IC thermal data with lower computational complexity.

Findings

Achieves 420-fold speedup in data generation for 5000 chips.

Maintains comparable neural operator performance with only 4% of the data generation time.

Theoretically reduces time complexity by an order compared to existing methods.

Abstract

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.