HMC with Normalizing Flows
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Abstract (arXiv)
We propose using Normalizing Flows as a trainable kernel within the molecular dynamics update of Hamiltonian Monte Carlo (HMC). By learning (invertible) transformations that simplify our dynamics, we can outperform traditional methods at generating independent configurations. We show that, using a carefully constructed network architecture, our approach can be easily scaled to large lattice volumes with minimal retraining effort. The source code for our implementation is publicly available online at https://github.com/nftqcd/fthmc.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 4 of its 12 references that are in the map. First posted on arXiv 2 Dec 2021.
Builds on
4 of 12 references.
References · 4
- 2015Variational Inference with Normalizing Flowscited by 2,161
- 2016Density estimation using Real NVPcited by 2,029
- 2017A Conceptual Introduction to Hamiltonian Monte Carlocited by 207
- 2020Equivariant flow-based sampling for lattice gauge theorycited by 102
Built on by
Citing papers per year: 2022: 1; 2023: 3; 2024: 2.
6 papers.
- 2023Advances in machine-learning-based sampling motivated by lattice quantum chromodynamicscited by 23
- 2022Applications of Machine Learning to Lattice Quantum Field Theorycited by 14
- 2024Practical applications of machine-learned flows on gauge fieldscited by 6
- 2023Comparison of Affine and Rational Quadratic Spline Coupling and Autoregressive Flows through Robust Statistical Testscited by 5
- 2023The NFLikelihood: an unsupervised DNNLikelihood from Normalizing Flowscited by 2
- 2024Neural Surrogate HMC: On Using Neural Likelihoods for Hamiltonian Monte Carlo in Simulation-Based Inferencecited by 0
- 2024Neural Surrogate HMC: On Using Neural Likelihoods for Hamiltonian Monte Carlo in Simulation-Based Inference29 Jul 2024
- 2024Practical applications of machine-learned flows on gauge fields17 Apr 2024
- 2023The NFLikelihood: an unsupervised DNNLikelihood from Normalizing Flows18 Sep 2023
- 2023Advances in machine-learning-based sampling motivated by lattice quantum chromodynamics3 Sep 2023
- 2023Comparison of Affine and Rational Quadratic Spline Coupling and Autoregressive Flows through Robust Statistical Tests23 Feb 2023
- 2022Applications of Machine Learning to Lattice Quantum Field Theory10 Feb 2022