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20192026
most citedFlow-based generative models for Markov chain Monte Carlo in lattice field theory

222 citations · 961 across the 42 of their papers we have counts for

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14 papers · 1 filter

hep-lat2026

A Monte Carlo estimator of flow fields for sampling and noise problems

Michael S. Albergo, Gurtej Kanwar

Learned field transformations may help address ubiquitous critical slowing down and signal-to-noise problems in lattice field theory. In the context of an annealed sequence of dist…

hep-lat2024

Practical applications of machine-learned flows on gauge fields

Ryan Abbott, Michael S. Albergo, Denis Boyda +5

Normalizing flows are machine-learned maps between different lattice theories which can be used as components in exact sampling and inference schemes. Ongoing work yields increasin…

hep-lat2024

Multiscale Normalizing Flows for Gauge Theories

Ryan Abbott, Michael S. Albergo, Denis Boyda +5

Scale separation is an important physical principle that has previously enabled algorithmic advances such as multigrid solvers. Previous work on normalizing flows has been able to…

hep-lat2023★ 10 cited

Normalizing flows for lattice gauge theory in arbitrary space-time dimension

Ryan Abbott, Michael S. Albergo, Aleksandar Botev +11

Applications of normalizing flows to the sampling of field configurations in lattice gauge theory have so far been explored almost exclusively in two space-time dimensions. We repo…

hep-lat2022★ 5 cited

Aspects of scaling and scalability for flow-based sampling of lattice QCD

Ryan Abbott, Michael S. Albergo, Aleksandar Botev +10

Recent applications of machine-learned normalizing flows to sampling in lattice field theory suggest that such methods may be able to mitigate critical slowing down and topological…

hep-lat2022★ 7 cited

Sampling QCD field configurations with gauge-equivariant flow models

Ryan Abbott, Michael S. Albergo, Aleksandar Botev +11

Machine learning methods based on normalizing flows have been shown to address important challenges, such as critical slowing-down and topological freezing, in the sampling of gaug…

hep-lat2022★ 48 cited

Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions

Ryan Abbott, Michael S. Albergo, Denis Boyda +9

This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as stochastic estimators for the fermionic deter…

hep-lat2022★ 38 cited

Flow-based sampling in the lattice Schwinger model at criticality

Michael S. Albergo, Denis Boyda, Kyle Cranmer +7

Recent results suggest that flow-based algorithms may provide efficient sampling of field distributions for lattice field theory applications, such as studies of quantum chromodyna…

hep-lat2021★ 35 cited

Flow-based sampling for multimodal and extended-mode distributions in lattice field theory

Daniel C. Hackett, Chung-Chun Hsieh, Sahil Pontula +7

Recent results have demonstrated that samplers constructed with flow-based generative models are a promising new approach for configuration generation in lattice field theory. In t…

hep-lat2021★ 54 cited

Flow-based sampling for fermionic lattice field theories

Michael S. Albergo, Gurtej Kanwar, Sébastien Racanière +6

Algorithms based on normalizing flows are emerging as promising machine learning approaches to sampling complicated probability distributions in a way that can be made asymptotical…

hep-lat2021★ 15 cited

Introduction to Normalizing Flows for Lattice Field Theory

Michael S. Albergo, Denis Boyda, Daniel C. Hackett +5

This notebook tutorial demonstrates a method for sampling Boltzmann distributions of lattice field theories using a class of machine learning models known as normalizing flows. The…

hep-lat2020★ 117 cited

Sampling using gauge equivariant flows

Denis Boyda, Gurtej Kanwar, Sébastien Racanière +5

We develop a flow-based sampling algorithm for lattice gauge theories that is gauge-invariant by construction. Our key contribution is constructing a class of flows on an $…

hep-lat2020★ 200 cited

Equivariant flow-based sampling for lattice gauge theory

Gurtej Kanwar, Michael S. Albergo, Denis Boyda +5

We define a class of machine-learned flow-based sampling algorithms for lattice gauge theories that are gauge-invariant by construction. We demonstrate the application of this fram…

hep-lat2019★ 222 cited

Flow-based generative models for Markov chain Monte Carlo in lattice field theory

M. S. Albergo, G. Kanwar, P. E. Shanahan

A Markov chain update scheme using a machine-learned flow-based generative model is proposed for Monte Carlo sampling in lattice field theories. The generative model may be optimiz…