mlsanityData to 7 Oct 2026

Stability of the Kim--Milman flow map

arXiv 2511.01154 ↗First posted 3 Nov 2025math.PR cs.LG math.STcited by 1

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Abstract (arXiv)

In this short note, we characterize stability of the Kim--Milman flow map -- also known as the probability flow ODE -- with respect to variations in the target measure in relative Fisher information.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 14 of its 38 references that are in the map. First posted on arXiv 3 Nov 2025.

Builds on

14 of 38 references.

References · 14

  1. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  2. 2022Flow Matching for Generative Modelingcited by 5,426
  3. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
  4. 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusioncited by 448
  5. 2013A survey of the Schr"odinger problem and some of its connections with optimal transportcited by 286
  6. 2023Diffusion Schr"odinger Bridge Matchingcited by 151
  7. 2021Entropic estimation of optimal transport mapscited by 87
  8. 2021Plugin Estimation of Smooth Optimal Transport Mapscited by 67
  9. 2023Minimax estimation of discontinuous optimal transport maps: The semi-discrete casecited by 20
  10. 2023Projected Langevin dynamics and a gradient flow for entropic optimal transportcited by 17
  11. 2022Displacement smoothness of entropic optimal transportcited by 13
  12. 2025Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequalitycited by 11
2 more
  1. 2025Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implicationscited by 9
  2. 2025Stability of optimal transport maps on Riemannian manifoldscited by 4

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

1 paper.

  1. 2026Near-Lipschitz stability of the Kim--Milman flow mapcited by 0