Improving generative model-based unfolding with Schrödinger bridges
Sascha Diefenbacher, Guan-Horng Liu, V. M. Mikuni, Benjamin Nachman, Weili Nie
Abstract
Machine learning-based unfolding has enabled unbinned and high-dimensional differential cross section measurements. Two main approaches have emerged in this research area; one based on discriminative models and one based on generative models. The main advantage of discriminative models is that they learn a small correction to a starting simulation while generative models scale better to regions of phase space with little data. We propose to use Schrödinger bridges and diffusion models to create , an unfolding approach that combines the strengths of both discriminative and generative models. The key feature of is that its generative model maps one set of events into another without having to go through a known probability density as is the case for normalizing flows and standard diffusion models. We show that achieves excellent performance compared to state of the art methods on a synthetic <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>Z</a:mi><a:mo>+</a:mo><a:mtext>jets</a:mtext></a:mrow></a:math> dataset. Published by the American Physical Society 2024