mlsanityData to 7 Oct 2026

Physics Informed Distillation for Diffusion Models

arXiv 2411.08378 ↗First posted 13 Nov 2024cs.LG cs.AIcited by 13

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Diffusion models have recently emerged as a potent tool in generative modeling. However, their inherent iterative nature often results in sluggish image generation due to the requirement for multiple model evaluations. Recent progress has unveiled the intrinsic link between diffusion models and Probability Flow Ordinary Differential Equations (ODEs), thus enabling us to conceptualize diffusion models as ODE systems. Simultaneously, Physics Informed Neural Networks (PINNs) have substantiated their effectiveness in solving intricate differential equations through implicit modeling of their solutions. Building upon these foundational insights, we introduce Physics Informed Distillation (PID), which employs a student model to represent the solution of the ODE system corresponding to the teacher diffusion model, akin to the principles employed in PINNs. Through experiments on CIFAR 10 and ImageNet 64x64, we observe that PID achieves performance comparable to recent distillation methods. Notably, it demonstrates predictable trends concerning method-specific hyperparameters and eliminates the need for synthetic dataset generation during the distillation process. Both of which contribute to its easy-to-use nature as a distillation approach for Diffusion Models. Our code and pre-trained checkpoint are publicly available at: https://github.com/pantheon5100/pid_diffusion.git.

Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 40 of its 53 references that are in the map. First posted on arXiv 13 Nov 2024.

Builds on

40 of 53 references.

Closest ancestors · 1

Same direction, newest first

  1. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep

Other references · 39

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  3. 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
  4. 2020Denoising Diffusion Implicit Modelscited by 9,655
  5. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  7. 2023Segment Anythingcited by 8,158
  8. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  9. 2021Emerging Properties in Self-Supervised Vision Transformerscited by 6,893
  10. 2022Hierarchical Text-Conditional Image Generation with CLIP Latentscited by 6,539
  11. 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,322
  12. 2022Generative Adversarial Networkscited by 5,603
27 more
  1. 2020Bootstrap your own latent: A new approach to self-supervised Learningcited by 4,712
  2. 2021GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Modelscited by 3,595
  3. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
  4. 2016Improved Techniques for Training GANscited by 2,938
  5. 2018Large Scale GAN Training for High Fidelity Natural Image Synthesiscited by 2,609
  6. 2020Improved Baselines with Momentum Contrastive Learningcited by 2,282
  7. 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Stepscited by 1,961
  8. 2023Consistency Modelscited by 1,778
  9. 2018Glow: Generative Flow with Invertible 1x1 Convolutionscited by 1,539
  10. 2021Image Super-Resolution via Iterative Refinementcited by 1,506
  11. 2019On the Variance of the Adaptive Learning Rate and Beyondcited by 763
  12. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 603
  13. 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 526
  14. 2021Label-Efficient Semantic Segmentation with Diffusion Modelscited by 495
  15. 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusioncited by 448
  16. 2021SRDiff: Single Image Super-Resolution with Diffusion Probabilistic Modelscited by 415
  17. 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speedcited by 344
  18. 2021Deblurring via Stochastic Refinementcited by 248
  19. 2023Diff-Instruct: A Universal Approach for Transferring Knowledge From Pre-trained Diffusion Modelscited by 232
  20. 2021Gotta Go Fast When Generating Data with Score-Based Modelscited by 218
  21. 2021Diffusion Models for Implicit Image Segmentation Ensemblescited by 198
  22. 2022Fast Sampling of Diffusion Models via Operator Learningcited by 173
  23. 2023TRACT: Denoising Diffusion Models with Transitive Closure Time-Distillationcited by 115
  24. 2023BOOT: Data-free Distillation of Denoising Diffusion Models with Bootstrappingcited by 96
  25. 2021CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Methodcited by 93
  26. 2023One-Step Diffusion Distillation via Deep Equilibrium Modelscited by 60
  27. 2023CDPMSR: Conditional Diffusion Probabilistic Models for Single Image Super-Resolutioncited by 21

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Citing papers per year: 2024: 1; 2025: 9; 2026: 3.

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  1. 2026Physics-informed diffusion models in spectral space
  2. 2023Distilling ODE Solvers of Diffusion Models into Smaller Steps
  3. 2026Consistent Distribution Matching for Data-Free Diffusion Distillation
  4. 2025A Survey on Pre-Trained Diffusion Model Distillations
  5. 2025Understanding Generalization in Diffusion Distillation via Probability Flow Distance
  6. 2026PHDME: Physics-Informed Diffusion Models without Explicit Governing Equations
  7. 2024Pi-fusion: Physics-informed diffusion model for learning fluid dynamics
  8. 2026Physics-Informed Neural Networks for Biological 2D+t Reaction-Diffusion Systems