%0 Journal Article %1 albergo2021introduction %A Albergo, Michael S. %A Boyda, Denis %A Hackett, Daniel C. %A Kanwar, Gurtej %A Cranmer, Kyle %A Racanière, Sébastien %A Rezende, Danilo Jimenez %A Shanahan, Phiala E. %D 2021 %K bayesian flows physics readings survey topology %T Introduction to Normalizing Flows for Lattice Field Theory %U http://arxiv.org/abs/2101.08176 %X 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 ideas and approaches proposed in arXiv:1904.12072, arXiv:2002.02428, and arXiv:2003.06413 are reviewed and a concrete implementation of the framework is presented. We apply this framework to a lattice scalar field theory and to U(1) gauge theory, explicitly encoding gauge symmetries in the flow-based approach to the latter. This presentation is intended to be interactive and working with the attached Jupyter notebook is recommended.

@article{albergo2021introduction, abstract = {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 ideas and approaches proposed in arXiv:1904.12072, arXiv:2002.02428, and arXiv:2003.06413 are reviewed and a concrete implementation of the framework is presented. We apply this framework to a lattice scalar field theory and to U(1) gauge theory, explicitly encoding gauge symmetries in the flow-based approach to the latter. This presentation is intended to be interactive and working with the attached Jupyter notebook is recommended.}, added-at = {2021-01-21T16:35:50.000+0100}, author = {Albergo, Michael S. and Boyda, Denis and Hackett, Daniel C. and Kanwar, Gurtej and Cranmer, Kyle and Racanière, Sébastien and Rezende, Danilo Jimenez and Shanahan, Phiala E.}, biburl = {https://www.bibsonomy.org/bibtex/25671acfef59794e906016d8b69595430/kirk86}, description = {[2101.08176] Introduction to Normalizing Flows for Lattice Field Theory}, interhash = {07031d8338c3f2e43460af83c0d6a8fa}, intrahash = {5671acfef59794e906016d8b69595430}, keywords = {bayesian flows physics readings survey topology}, note = {cite arxiv:2101.08176Comment: 38 pages, 5 numbered figures, Jupyter notebook included as ancillary file}, timestamp = {2021-01-21T16:35:50.000+0100}, title = {Introduction to Normalizing Flows for Lattice Field Theory}, url = {http://arxiv.org/abs/2101.08176}, year = 2021 }