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Unifying Simulation and Inference with Normalizing Flows

29 April 2024
Haoxing Du
Claudius Krause
Vinicius Mikuni
Benjamin Nachman
Ian Pang
David Shih
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Abstract

There have been many applications of deep neural networks to detector calibrations and a growing number of studies that propose deep generative models as automated fast detector simulators. We show that these two tasks can be unified by using maximum likelihood estimation (MLE) from conditional generative models for energy regression. Unlike direct regression techniques, the MLE approach is prior-independent and non-Gaussian resolutions can be determined from the shape of the likelihood near the maximum. Using an ATLAS-like calorimeter simulation, we demonstrate this concept in the context of calorimeter energy calibration.

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@article{du2025_2404.18992,
  title={ Unifying Simulation and Inference with Normalizing Flows },
  author={ Haoxing Du and Claudius Krause and Vinicius Mikuni and Benjamin Nachman and Ian Pang and David Shih },
  journal={arXiv preprint arXiv:2404.18992},
  year={ 2025 }
}
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