Discriminative versus Generative Approaches to Simulation-based Inference

Fuente: arXiv
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Autores principales: Sluijter, Benjamin, Diefenbacher, Sascha, Bhimji, Wahid, Nachman, Benjamin
Formato: Preprint
Publicado: 2025
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author Sluijter, Benjamin
Diefenbacher, Sascha
Bhimji, Wahid
Nachman, Benjamin
author_facet Sluijter, Benjamin
Diefenbacher, Sascha
Bhimji, Wahid
Nachman, Benjamin
contents Most of the fundamental, emergent, and phenomenological parameters of particle and nuclear physics are determined through parametric template fits. Simulations are used to populate histograms which are then matched to data. This approach is inherently lossy, since histograms are binned and low-dimensional. Deep learning has enabled unbinned and high-dimensional parameter estimation through neural likelihiood(-ratio) estimation. We compare two approaches for neural simulation-based inference (NSBI): one based on discriminative learning (classification) and one based on generative modeling. These two approaches are directly evaluated on the same datasets, with a similar level of hyperparameter optimization in both cases. In addition to a Gaussian dataset, we study NSBI using a Higgs boson dataset from the FAIR Universe Challenge. We find that both the direct likelihood and likelihood ratio estimation are able to effectively extract parameters with reasonable uncertainties. For the numerical examples and within the set of hyperparameters studied, we found that the likelihood ratio method is more accurate and/or precise. Both methods have a significant spread from the network training and would require ensembling or other mitigation strategies in practice.
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id arxiv_https___arxiv_org_abs_2503_07962
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Discriminative versus Generative Approaches to Simulation-based Inference
Sluijter, Benjamin
Diefenbacher, Sascha
Bhimji, Wahid
Nachman, Benjamin
High Energy Physics - Phenomenology
Machine Learning
High Energy Physics - Experiment
Most of the fundamental, emergent, and phenomenological parameters of particle and nuclear physics are determined through parametric template fits. Simulations are used to populate histograms which are then matched to data. This approach is inherently lossy, since histograms are binned and low-dimensional. Deep learning has enabled unbinned and high-dimensional parameter estimation through neural likelihiood(-ratio) estimation. We compare two approaches for neural simulation-based inference (NSBI): one based on discriminative learning (classification) and one based on generative modeling. These two approaches are directly evaluated on the same datasets, with a similar level of hyperparameter optimization in both cases. In addition to a Gaussian dataset, we study NSBI using a Higgs boson dataset from the FAIR Universe Challenge. We find that both the direct likelihood and likelihood ratio estimation are able to effectively extract parameters with reasonable uncertainties. For the numerical examples and within the set of hyperparameters studied, we found that the likelihood ratio method is more accurate and/or precise. Both methods have a significant spread from the network training and would require ensembling or other mitigation strategies in practice.
title Discriminative versus Generative Approaches to Simulation-based Inference
topic High Energy Physics - Phenomenology
Machine Learning
High Energy Physics - Experiment
url https://arxiv.org/abs/2503.07962