Learning to discover: expressive Gaussian mixture models for multi-dimensional simulation and parameter inference in the physical sciences
| Autor: | Menary, Stephen B., Price, Darren D. |
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| Rok vydání: | 2021 |
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| Zdroj: | 2022 Mach. Learn.: Sci. Technol. 3 015021 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/2632-2153/ac4a3b |
| Popis: | We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable spectra are deformed by hypothesis variations, and is made more expressive by projecting data onto a configurable latent space. It may be used as a statistical model for scientific discovery in interpreting experimental observations, for example when constraining the parameters of a physical model or tuning simulation parameters according to calibration data. The model may also be sampled for use within a Monte Carlo simulation chain, or used to estimate likelihood ratios for event classification. The method is demonstrated on simulated high-energy particle physics data considering the anomalous electroweak production of a $Z$ boson in association with a dijet system at the Large Hadron Collider, and the accuracy of inference is tested using a realistic toy example. The developed methods are domain agnostic; they may be used within any field to perform simulation or inference where a dataset consisting of many real-valued observables has conditional dependence on external parameters. Comment: 42 pages, 20 figures, 6 tables. Simulated data, model files and code available at: https://dx.doi.org/10.48420/17136839 |
| Databáze: | arXiv |
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