Stochastic gradient descent for optimization for nuclear systems

Williams, Austin; Walton, Noah; Maryanski, Austin; Bogetic, Sandra; Hines, Wes; Sobes, Vladimir

doi:10.1038/s41598-023-32112-7

Stochastic gradient descent for optimization for nuclear systems

Journal Article · Thu May 25 04:00:00 EDT 2023 · Scientific Reports

DOI:https://doi.org/10.1038/s41598-023-32112-7· OSTI ID:2417878

Williams, Austin ^[1]; Walton, Noah ^[2]; Maryanski, Austin ^[2]; Bogetic, Sandra ^[2]; Hines, Wes ^[2]; Sobes, Vladimir ^[2]

Univ. of Tennessee, Knoxville, TN (United States); University of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States)

The use of gradient descent methods for optimizing k-eigenvalue nuclear systems has been shown to be useful in the past, but the use of k-eigenvalue gradients have proved computationally challenging due to their stochastic nature. ADAM is a gradient descent method that accounts for gradients with a stochastic nature. This analysis uses challenge problems constructed to verify if ADAM is a suitable tool to optimize k-eigenvalue nuclear systems. ADAM is able to successfully optimize nuclear systems using the gradients of k-eigenvalue problems despite their stochastic nature and uncertainty. Furthermore, it is clearly demonstrated that low-compute time, high-variance estimates of the gradient lead to better performance in the optimization challenge problems tested here.

Research Organization:: Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0000979; NA0003180

OSTI ID:: 2417878

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 13; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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