December 30, 2019
Conference Paper

Highly-scalable, physics-informed GANs for learning solutions of stochastic PDEs

Abstract

Uncertainty quantification for forward and inverse problems is a central challenge across physical and biomedical disciplines. We address this challenge for the problem of modeling subsurface flow at the Hanford Site by combining stochastic computational models with observational data using physics-informed GAN models. The geographic extent, spatial heterogeneity, and multiple correlation length scales of the Hanford Site require training a computationally intensive GAN model to thousands of dimensions. We develop a highly optimized implementation that scales to {\herogpucount} NVIDIA Volta GPUs. We develop a hierarchical scheme based on a multi-player game-theoretic approach for exploiting domain parallelism, map discriminators and generators to multiple GPUs, and employ efficient communication schemes to ensure training stability and convergence. Our implementation scales to {\heronodecount} nodes on the Summit supercomputer with a \weakscalingeff\% scaling efficiency, achieving peak and sustained half-precision rates of {\heropeakperf} PF/s and {\herosustainedperf} PF/s.

Revised: February 6, 2020 | Published: December 30, 2019

Citation

Yang L., S. Treichler, T. Kurth, K. Fischer, D.A. Barajas-Solano, J. Romero, and V. Churavy, et al. 2019. Highly-scalable, physics-informed GANs for learning solutions of stochastic PDEs. In IEEE/ACM Third Workshop on Deep Learning on Supercomputers (DLS 2019), Held in Conjunction with The International Conference for High Performance Computing, Networking, Storage and Analysis (SC2019), November 17-22, 2019, Denver, CO. Los Alamitos, California:IEEE Computer Society. PNNL-SA-142756. doi:10.1109/DLS49591.2019.00006