Applications of flow models to the generation of correlated lattice QCD ensembles

R Abbott, A Botev, D Boyda, DC Hackett, G Kanwar… - Physical Review D, 2024 - APS
Machine-learned normalizing flows can be used in the context of lattice quantum field theory
to generate statistically correlated ensembles of lattice gauge fields at different action …

Physics-driven learning for inverse problems in quantum chromodynamics

G Aarts, K Fukushima, T Hatsuda, A Ipp, S Shi… - Nature Reviews …, 2025 - nature.com
The integration of deep learning techniques and physics-driven designs is reforming the
way we address inverse problems, in which accurate physical properties are extracted from …

Diffusion models for lattice gauge field simulations

Q Zhu, G Aarts, W Wang, K Zhou, L Wang - arXiv preprint arXiv …, 2024 - arxiv.org
We develop diffusion models for lattice gauge theories which build on the concept of
stochastic quantization. This framework is applied to $ U (1) $ gauge theory in $1+ 1 …

Flow-based sampling for lattice field theories

G Kanwar - arXiv preprint arXiv:2401.01297, 2024 - arxiv.org
Critical slowing down and topological freezing severely hinder Monte Carlo sampling of
lattice field theories as the continuum limit is approached. Recently, significant progress has …

Generative Diffusion Models for Lattice Field Theory

L Wang, G Aarts, K Zhou - arXiv preprint arXiv:2311.03578, 2023 - arxiv.org
This study delves into the connection between machine learning and lattice field theory by
linking generative diffusion models (DMs) with stochastic quantization, from a stochastic …

On learning higher-order cumulants in diffusion models

G Aarts, DE Habibi, L Wang, K Zhou - arXiv preprint arXiv:2410.21212, 2024 - arxiv.org
To analyse how diffusion models learn correlations beyond Gaussian ones, we study the
behaviour of higher-order cumulants, or connected n-point functions, under both the forward …

Scalar field restricted Boltzmann machine as an ultraviolet regulator

G Aarts, B Lucini, C Park - Physical Review D, 2024 - APS
Restricted Boltzmann machines (RBMs) are well-known tools used in machine learning to
learn probability distribution functions from data. We analyze RBMs with scalar fields on the …

The NFLikelihood: An unsupervised DNNLikelihood from normalizing flows

H Reyes-González, R Torre - SciPost Physics Core, 2024 - scipost.org
We propose the NFLikelihood, an unsupervised version, based on Normalizing Flows, of the
DNNLikelihood proposed in [Eur. Phys. J. C 80, 664 (2020)]. We show, through realistic …

Sampling SU (3) pure gauge theory with Stochastic Normalizing Flows

A Bulgarelli, E Cellini, A Nada - arXiv preprint arXiv:2409.18861, 2024 - arxiv.org
Non-equilibrium Monte Carlo simulations based on Jarzynski's equality are a well-
understood method to compute differences in free energy and also to sample from a target …

Fast and unified path gradient estimators for normalizing flows

L Vaitl, L Winkler, L Richter, P Kessel - arXiv preprint arXiv:2403.15881, 2024 - arxiv.org
Recent work shows that path gradient estimators for normalizing flows have lower variance
compared to standard estimators for variational inference, resulting in improved training …