Causal Multi-fidelity Surrogate Forward and Inverse Models for ICF Implosions

Fuente: arXiv
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Autori principali: Maltba, Tyler E., Southworth, Ben S., Haack, Jeffrey R., Klasky, Marc L.
Natura: Preprint
Pubblicazione: 2025
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author Maltba, Tyler E.
Southworth, Ben S.
Haack, Jeffrey R.
Klasky, Marc L.
author_facet Maltba, Tyler E.
Southworth, Ben S.
Haack, Jeffrey R.
Klasky, Marc L.
contents Continued progress in inertial confinement fusion (ICF) requires solving inverse problems relating experimental observations to simulation input parameters, followed by design optimization. However, such high-dimensional dynamic PDE-constrained optimization problems are extremely challenging or even intractable. It has been recently shown that inverse problems can be solved by only considering certain robust features. Here we consider the ICF capsule's deuterium-tritium (DT) interface, and construct a causal, dynamic, multifidelity reduced-order surrogate that maps from a time-dependent radiation temperature drive to the interface's radius and velocity dynamics. The surrogate targets an ODE embedding of DT interface dynamics, and is constructed by learning a controller for a base analytical model using low- and high-fidelity simulation training data with respect to radiation energy group structure. After demonstrating excellent accuracy of the surrogate interface model, we use machine learning (ML) models with surrogate-generated data to solve inverse problems optimizing radiation temperature drive to reproduce observed interface dynamics. For sparse snapshots in time, the ML model further characterizes the most informative times at which to sample dynamics. Altogether we demonstrate how operator learning, causal architectures, and physical inductive bias can be integrated to accelerate discovery, design, and diagnostics in high-energy-density systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05510
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Causal Multi-fidelity Surrogate Forward and Inverse Models for ICF Implosions
Maltba, Tyler E.
Southworth, Ben S.
Haack, Jeffrey R.
Klasky, Marc L.
Computational Physics
Machine Learning
Continued progress in inertial confinement fusion (ICF) requires solving inverse problems relating experimental observations to simulation input parameters, followed by design optimization. However, such high-dimensional dynamic PDE-constrained optimization problems are extremely challenging or even intractable. It has been recently shown that inverse problems can be solved by only considering certain robust features. Here we consider the ICF capsule's deuterium-tritium (DT) interface, and construct a causal, dynamic, multifidelity reduced-order surrogate that maps from a time-dependent radiation temperature drive to the interface's radius and velocity dynamics. The surrogate targets an ODE embedding of DT interface dynamics, and is constructed by learning a controller for a base analytical model using low- and high-fidelity simulation training data with respect to radiation energy group structure. After demonstrating excellent accuracy of the surrogate interface model, we use machine learning (ML) models with surrogate-generated data to solve inverse problems optimizing radiation temperature drive to reproduce observed interface dynamics. For sparse snapshots in time, the ML model further characterizes the most informative times at which to sample dynamics. Altogether we demonstrate how operator learning, causal architectures, and physical inductive bias can be integrated to accelerate discovery, design, and diagnostics in high-energy-density systems.
title Causal Multi-fidelity Surrogate Forward and Inverse Models for ICF Implosions
topic Computational Physics
Machine Learning
url https://arxiv.org/abs/2509.05510