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20132026
most citedEquivariant flow-based sampling for lattice gauge theory

200 citations · 892 across the 32 of their papers we have counts for

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hep-lat2026

Variance reduction in lattice QCD observables via normalizing flows

Ryan Abbott, Denis Boyda, Yang Fu +5

Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables that are defined by a derivative with respect to action parame…

hep-lat2025

Progress in Normalizing Flows for 4d Gauge Theories

Ryan Abbott, Denis Boyda, Daniel C. Hackett +4

Normalizing flows have arisen as a tool to accelerate Monte Carlo sampling for lattice field theories. This work reviews recent progress in applying normalizing flows to 4-dimensio…

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-lat2024

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

Ryan Abbott, Aleksandar Botev, Denis Boyda +7

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 act…

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-lat2022★ 13 cited

Applications of Machine Learning to Lattice Quantum Field Theory

Denis Boyda, Salvatore Calì, Sam Foreman +8

There is great potential to apply machine learning in the area of numerical lattice quantum field theory, but full exploitation of that potential will require new strategies. In th…

hep-lat2022

Applying machine learning methods to prediction problems of lattice observables

N. V. Gerasimeniuk, M. N. Chernodub, V. A. Goy +3

We discuss the prediction of critical behavior of lattice observables in SU(2) and SU(3) gauge theories. We show that feed-forward neural network, trained on the lattice configurat…

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★ 35 cited

Machine-learning physics from unphysics: Finding deconfinement temperature in lattice Yang-Mills theories from outside the scaling window

D. L. Boyda, M. N. Chernodub, N. V. Gerasimeniuk +3

We study the machine learning techniques applied to the lattice gauge theory's critical behavior, particularly to the confinement/deconfinement phase transition in the SU(2) and SU…

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

New way of collision experiment data analysis based on Grand Canonical Distribution and Lattice QCD data

V. Bornyakov, D. Boyda, V. Goy +2

We propose new way of heavy ion collisions experiment data analysis. We analyze physical parameters of fireball created in RHIC experiment based on Grand Canonical Distribution and…

hep-lat2018★ 24 cited

Lee-Yang zeros in lattice QCD for searching phase transition points

M. Wakayama, V. G. Bornyakov, D. L. Boyda +5

We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem…

hep-lat2017★ 6 cited

Lattice QCD at finite baryon density using analytic continuation

V. G. Bornyakov, D. L. Boyda, V. A. Goy +6

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining…

hep-lat2017★ 3 cited

Restoring canonical partition functions from imaginary chemical potential

V. G. Bornyakov, D. Boyda, V. Goy +4

Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool…

hep-lat2017★ 7 cited

Lattice QCD thermodynamics at finite chemical potential and its comparison with Experiments

D. Boyda, V. G. Bornyakov, V. Goy +4

We compare higher moments of baryon numbers measured at the RHIC heavy ion collision experiments with those by the lattice QCD calculations. We employ the canonical approach, in wh…

hep-lat2016★ 33 cited

Sign problem in finite density lattice QCD

V. A. Goy, V. Bornyakov, D. Boyda +4

The canonical approach, which was developed for solving the sign problem, may suffer from a new type of sign problem. In the canonical approach, the grand partition function is wri…