Training and Projecting: A Reduced Basis Method Emulator for Many-Body Physics

Bonilla, E.; Giuliani, Pablo; Godbey, K.; Lee, Dean

doi:10.48550/arxiv.2203.05284

Cited by 2 publications

(2 citation statements)

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“…We believe that putting EC in a more general context, and particularly using a unified naming convention, will not only alleviate confusion due to a conflict of terms used in other fields, but will permit access to a much broader literature. It would surely accelerate progress in the application of emulators in the nuclear community [95] and facilitate fruitful external collaborations.…”

Section: Discussionmentioning

confidence: 99%

Model reduction methods for nuclear emulators

Melendez

Drischler

Furnstahl

et al. 2022

J. Phys. G: Nucl. Part. Phys.

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The field of model order reduction (MOR) is growing in importance due to its ability to extract the key insights from complex simulations while discarding computationally burdensome and superfluous information. We provide an overview of MOR methods for the creation of fast & accurate emulators of memory- and compute-intensive nuclear systems, focusing on eigen-emulators and variational emulators. As an example, we describe how "eigenvector continuation'' is a special case of a much more general and well-studied MOR formalism for parameterized systems. We continue with an introduction to the Ritz and Galerkin projection methods that underpin many such emulators, while pointing to the relevant MOR theory and its successful applications along the way. We believe that this will open the door to broader applications in nuclear physics and facilitate communication with practitioners in other fields.

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Section: Discussionmentioning

confidence: 99%

Model reduction methods for nuclear emulators

Melendez

Drischler

Furnstahl

et al. 2022

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

show abstract

“…It can be readily incorporated into the experimental event generators as well. Such emulators have been rapidly developed for both many-body calculations of nuclear properties [439][440][441][442][443][444] and few-body scattering and reaction calculations [445][446][447][448][449]. It will be valuable to generalize the former studies to emulate nuclear response function calculations.…”

Section: Fast Emulators For Complex Theoretical Modelsmentioning

confidence: 99%