papers

Publications (17)

hep-lat2022

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-lat2020

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-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

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-lat2022

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…

cs.DC2026

Collective Communication for 100k+ GPUs

Min Si, Pavan Balaji, Yongzhou Chen +36

The increasing scale of large language models (LLMs) necessitates highly efficient collective communication frameworks, particularly as training workloads extend to hundreds of tho…

hep-lat2022

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-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-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-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-lat2021

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-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-lat2022

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-lat2023

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

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-lat2020

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-lat2021

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…