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MENT-Flow: maximum-entropy phase space tomography using normalizing flows

by Austin M Hoover, Chun Wong
Publication Type
Conference Paper
Book Title
Proceedings of the 15th International Particle Accelerator Conference
Publication Date
Page Numbers
2375 to 2377
Publisher Location
Geneva, Switzerland
Conference Name
International Particle Accelerator Conference (IPAC)
Conference Location
Nashville, Tennessee, United States of America
Conference Sponsor
Institute of Electrical and Electronics Engineers Nuclear & Plasma Sciences Society
Conference Date
-

Generative models can be trained to reproduce low-dimensional projections of high-dimensional phase space distributions. Normalizing flows are generative models that parameterize invertible transformations, allowing exact probability density evaluation and sampling. Consequently, flows are unbiased entropy estimators and could be used to solve the high-dimensional maximum-entropy tomography (MENT) problem. In this work, we evaluate a flow-based MENT solver (MENT-Flow) against exact maximum-entropy solutions and Minerbo's iterative MENT algorithm in two dimensions.