Sensor Placement for Tsunami Early Warning via Large-Scale Bayesian Optimal Experimental Design

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Hauptverfasser: Venkat, Sreeram, Henneking, Stefan, Ghattas, Omar
Format: Preprint
Veröffentlicht: 2026
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author Venkat, Sreeram
Henneking, Stefan
Ghattas, Omar
author_facet Venkat, Sreeram
Henneking, Stefan
Ghattas, Omar
contents Real-time tsunami early warning relies on distributed sensor networks to infer seismic sources and seafloor motion. Optimizing these networks via Bayesian optimal experimental design (OED) is exceptionally challenging for systems governed by hyperbolic partial differential equations, which lack the spectral decay required by standard low-rank approximations. We present a scalable Bayesian OED framework for linear time-invariant systems. By reformulating the inverse problem in the data space, we transform OED into dense matrix subset selection. We propose a multi-GPU, Schur-complement-update-based, greedy algorithm that solves the OED problem using a pipelined approach that fully overlaps I/O with GPU computations. Our framework achieves near-perfect weak and strong scaling across hundreds of GPUs on Perlmutter and Frontier. Applied to the 2025 Gordon Bell Prize-winning digital twin for tsunami forecasting in the Cascadia Subduction Zone, we optimize a 175-sensor network, minimizing the uncertainty of a parameter field with over one billion degrees of freedom.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08812
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Sensor Placement for Tsunami Early Warning via Large-Scale Bayesian Optimal Experimental Design
Venkat, Sreeram
Henneking, Stefan
Ghattas, Omar
Distributed, Parallel, and Cluster Computing
Numerical Analysis
65J22, 65Y05
G.1.3; G.1.6; G.3; J.2
Real-time tsunami early warning relies on distributed sensor networks to infer seismic sources and seafloor motion. Optimizing these networks via Bayesian optimal experimental design (OED) is exceptionally challenging for systems governed by hyperbolic partial differential equations, which lack the spectral decay required by standard low-rank approximations. We present a scalable Bayesian OED framework for linear time-invariant systems. By reformulating the inverse problem in the data space, we transform OED into dense matrix subset selection. We propose a multi-GPU, Schur-complement-update-based, greedy algorithm that solves the OED problem using a pipelined approach that fully overlaps I/O with GPU computations. Our framework achieves near-perfect weak and strong scaling across hundreds of GPUs on Perlmutter and Frontier. Applied to the 2025 Gordon Bell Prize-winning digital twin for tsunami forecasting in the Cascadia Subduction Zone, we optimize a 175-sensor network, minimizing the uncertainty of a parameter field with over one billion degrees of freedom.
title Sensor Placement for Tsunami Early Warning via Large-Scale Bayesian Optimal Experimental Design
topic Distributed, Parallel, and Cluster Computing
Numerical Analysis
65J22, 65Y05
G.1.3; G.1.6; G.3; J.2
url https://arxiv.org/abs/2604.08812