Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics

K Cranmer, G Kanwar, S Racanière… - Nature Reviews …, 2023 - nature.com
Sampling from known probability distributions is a ubiquitous task in computational science,
underlying calculations in domains from linguistics to biology and physics. Generative …

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 …

Detecting and mitigating mode-collapse for flow-based sampling of lattice field theories

KA Nicoli, CJ Anders, T Hartung, K Jansen, P Kessel… - Physical Review D, 2023 - APS
We study the consequences of mode-collapse of normalizing flows in the context of lattice
field theory. Normalizing flows allow for independent sampling. For this reason, it is hoped …

Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point

C Alexandrou, S Bacchio, M Constantinou… - Physical Review D, 2024 - APS
We compute the nucleon axial and pseudoscalar form factors using three N f= 2+ 1+ 1
twisted-mass fermion ensembles with all quark masses tuned to approximately their physical …

Learning lattice quantum field theories with equivariant continuous flows

M Gerdes, P de Haan, C Rainone, R Bondesan… - SciPost Physics, 2023 - scipost.org
We propose a novel machine learning method for sampling from the high-dimensional
probability distributions of Lattice Field Theories, which is based on a single neural ODE …

Diffusion models as stochastic quantization in lattice field theory

L Wang, G Aarts, K Zhou - Journal of High Energy Physics, 2024 - Springer
A bstract In this work, we establish a direct connection between generative diffusion models
(DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of …

Gauge-equivariant neural networks as preconditioners in lattice QCD

C Lehner, T Wettig - Physical Review D, 2023 - APS
We demonstrate that a state-of-the-art multigrid preconditioner can be learned efficiently by
gauge-equivariant neural networks. We show that the models require minimal retraining on …

Machine learning a fixed point action for SU (3) gauge theory with a gauge equivariant convolutional neural network

K Holland, A Ipp, DI Müller, U Wenger - Physical Review D, 2024 - APS
Fixed point lattice actions are designed to have continuum classical properties unaffected by
discretization effects and reduced lattice artifacts at the quantum level. They provide a …

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 …

Sampling gauge theory using a retrainable conditional flow-based model

A Singha, D Chakrabarti, V Arora - Physical Review D, 2023 - APS
Sampling topological quantities in the Monte Carlo simulation of lattice gauge theory
becomes challenging as we approach the continuum limit (a→ 0) of the theory. In this work …