mlsanityData to 7 Oct 2026

Toward Scalable Normalizing Flows for the Hubbard Model

arXiv 2601.18273 ↗First posted 26 Jan 2026cond-mat.str-el cs.LG hep-latcited by 2

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Abstract (arXiv)

Normalizing flows have recently demonstrated the ability to learn the Boltzmann distribution of the Hubbard model, opening new avenues for generative modeling in condensed matter physics. In this work, we investigate the steps required to extend such simulations to larger lattice sizes and lower temperatures, with a focus on enhancing stability and efficiency. Additionally, we present the scaling behavior of stochastic normalizing flows and non-equilibrium Markov chain Monte Carlo methods for this fermionic system.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 17 of its 35 references that are in the map. First posted on arXiv 26 Jan 2026.

Builds on

17 of 35 references.

References · 17

  1. 2015Variational Inference with Normalizing Flowscited by 2,161
  2. 2016Density estimation using Real NVPcited by 2,029
  3. 2016Pixel Recurrent Neural Networkscited by 814
  4. 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
  5. 2020Stochastic Normalizing Flowscited by 156
  6. 2019Flow-based generative models for Markov chain Monte Carlo in lattice field theorycited by 147
  7. 2018Solving Statistical Mechanics Using Variational Autoregressive Networkscited by 99
  8. 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
  9. 2022Stochastic normalizing flows as non-equilibrium transformationscited by 25
  10. 2023Advances in machine-learning-based sampling motivated by lattice quantum chromodynamicscited by 23
  11. 2024Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defectscited by 13
  12. 2023Sampling the lattice Nambu-Goto string using Continuous Normalizing Flowscited by 12
5 more
  1. 2024Scaling of Stochastic Normalizing Flows in SU(3) lattice gauge theorycited by 10
  2. 2024Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flowscited by 6
  3. 2025Scaling flow-based approaches for topology sampling in SU(3) gauge theorycited by 6
  4. 2025SESaMo: Symmetry-Enforcing Stochastic Modulation for Normalizing Flowscited by 2
  5. 2025Simulating Correlated Electrons with Symmetry-Enforced Normalizing Flowscited by 2

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 2.

2 papers.

  1. 2026A scalable flow-based approach to mitigate topological freezingcited by 1
  2. 2026Tackling the Sign Problem in the Doped Hubbard Model with Normalizing Flowscited by 0