mlsanityData to 14 Oct 2026

Dequantified Diffusion-Schr"odinger Bridge for Density Ratio Estimation

arXiv 2505.05034 ↗First posted 8 May 2025cs.LG stat.MLcited by 11

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Abstract (arXiv)

Density ratio estimation is fundamental to tasks involving f-divergences, yet existing methods often fail under significantly different distributions or inadequately overlapping supports -- the density-chasm and the support-chasm problems. Additionally, prior approaches yield divergent time scores near boundaries, leading to instability. We design D3RE, a unified framework for robust, stable and efficient density ratio estimation. We propose the dequantified diffusion bridge interpolant (DDBI), which expands support coverage and stabilizes time scores via diffusion bridges and Gaussian dequantization. Building on DDBI, the proposed dequantified Schr"odinger bridge interpolant (DSBI) incorporates optimal transport to solve the Schr"odinger bridge problem, enhancing accuracy and efficiency. Our method offers uniform approximation and bounded time scores in theory, and outperforms baselines empirically in mutual information and density estimation tasks.

Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). Builds on 24 of its 43 references that are in the map. First posted on arXiv 8 May 2025.

Builds on

24 of 43 references.

References · 24

  1. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  2. 2020Denoising Diffusion Implicit Modelscited by 9,781
  3. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  4. 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,316
  5. 2020Improved Techniques for Training Score-Based Generative Modelscited by 1,043
  6. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
  7. 2023Improving and generalizing flow-based generative models with minibatch optimal transportcited by 879
  8. 2021Diffusion Schr"odinger Bridge with Applications to Score-Based Generative Modelingcited by 602
  9. 2019Neural Spline Flowscited by 596
  10. 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplingscited by 278
  11. 2023Denoising Diffusion Bridge Modelscited by 178
  12. 2020Telescoping Density-Ratio Estimationcited by 108
12 more
  1. 2016Likelihood-free inference by ratio estimationcited by 81
  2. 2021Density Ratio Estimation via Infinitesimal Classificationcited by 61
  3. 2020Non-Negative Bregman Divergence Minimization for Deep Direct Density Ratio Estimationcited by 45
  4. 2021A Novel Estimator of Mutual Information for Learning to Disentangle Textual Representationscited by 37
  5. 2021Featurized Density Ratio Estimationcited by 33
  6. 2014Accurate and Conservative Estimates of MRF Log-likelihood using Reverse Annealingcited by 18
  7. 2023Estimating the Density Ratio between Distributions with High Discrepancy using Multinomial Logistic Regressioncited by 17
  8. 2024Sparse Inducing Points in Deep Gaussian Processes: Enhancing Modeling with Denoising Diffusion Variational Inferencecited by 16
  9. 2023SciRE-Solver: Accelerating Diffusion Models Sampling by Score-integrand Solver with Recursive Differencecited by 10
  10. 2024Game-Theoretic Defenses for Robust Conformal Prediction Against Adversarial Attacks in Medical Imagingcited by 10
  11. 2024Density Ratio Estimation via Sampling along Generalized Geodesics on Statistical Manifoldscited by 8
  12. 2024Enhancing In-Context Learning via Implicit Demonstration Augmentationcited by 6

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 4; 2026: 7.

11 papers.

  1. 2025EVODiff: Entropy-aware Variance Optimized Diffusion Inferencecited by 10
  2. 2025Diffusion Bridge Variational Inference for Deep Gaussian Processescited by 4
  3. 2025Diffusion Secant Alignment for Score-Based Density Ratio Estimationcited by 3
  4. 2026A Minimum Variance Path Principle for Accurate and Stable Score-Based Density Ratio Estimationcited by 3
  5. 2026Towards Disentangled Preference Optimization Dynamics: Suppress the Loser, Preserve the Winnercited by 2
  6. 2026Learning Energy-Based Models from Stochastic Interpolants using Spatiotemporal Differencescited by 2
  7. 2026One-Step Score-Based Density Ratio Estimationcited by 1
  8. 2026Local-Time Riemannian Score Matching on the Quantum Pure-State Manifoldcited by 1
  9. 2026DiFA: Inference-Time Forward-Process Alignment for Diffusion Modelscited by 1
  10. 2025Instance Relation Learning Network with Label Knowledge Propagation for Few-shot Multi-label Intent Detectioncited by 0
  11. 2026Implicit Variational Rejection Samplingcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2023Denoising Diffusion Samplers
  2. 2024Diffusion Bridge Implicit Models
  3. 2026Discrete diffusion samplers and bridges: Off-policy algorithms and applications in latent spaces
  4. 2023ρ-Diffusion: A diffusion-based density estimation framework for computational physics
  5. 2026Bridge Matching Sampler: Scalable Sampling via Generalized Fixed-Point Diffusion Matching
  6. 2022Riemannian Diffusion Schr"odinger Bridge
  7. 2024Structural and Convergence Analysis of Discrete-Time Denoising Diffusion Probabilistic Models
  8. 2026SDDBMs: Soft Denoising Diffusion Bridge Models