SPECTER: efficient evaluation of the spectral EMD
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13130_2024_Article_25228.pdf
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1.57 MB
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Author(s)
Gambhir, Rikab
Larkoski, Andrew J.
Thaler, Jesse
Date Issued
December 30, 2024
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Gambhir, R., Larkoski, A.J. & Thaler, J. SPECTER: efficient evaluation of the spectral EMD. J. High Energ. Phys. 2024, 219 (2025).
Version
Final published version
Abstract
The Energy Mover’s Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover’s Distance (SEMD) has been proposed as a more analytically tractable alternative to the EMD. In this work, we obtain a closed-form expression for the Riemannian-like p = 2 SEMD metric between events, eliminating the need to numerically solve an optimal transport problem. Additionally, we show how the SEMD can be used to define event and jet shape observables by minimizing the distance between events and parameterized energy flows (similar to the EMD), and we obtain closed-form expressions for several of these observables. We also present the Specter framework, an efficient and highly parallelized implementation of the SEMD metric and SEMD-derived shape observables as an analogue of the previously-introduced Shaper for EMD-based computations. We demonstrate that computing the SEMD with Specter can be up to a thousand times faster than computing the EMD with standard optimal transport libraries.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP12(2024)219
