Tutorial on Diffusion Models for Imaging and Vision
On the map: Diffusion models → Diffusion foundations and sampling
Abstract (arXiv)
The astonishing growth of generative tools in recent years has empowered many exciting applications in text-to-image generation and text-to-video generation. The underlying principle behind these generative tools is the concept of diffusion, a particular sampling mechanism that has overcome some shortcomings that were deemed difficult in the previous approaches. The goal of this tutorial is to discuss the essential ideas underlying the diffusion models. The target audience of this tutorial includes undergraduate and graduate students who are interested in doing research on diffusion models or applying these models to solve other problems.
Key facts. Cited by 49 papers in the map (data through 7 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 23 of its 46 references that are in the map. First posted on arXiv 26 Mar 2024.
Builds on
23 of 46 references.
Closest ancestors · 9
Same direction, newest first
- 2022On Distillation of Guided Diffusion Models6 Oct
- 2022Understanding Diffusion Models: A Unified Perspective25 Aug
- 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps2 Jun
- 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun
- 2022Progressive Distillation for Fast Sampling of Diffusion Models1 Feb
- 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
- 2021Variational Diffusion Models1 Jul
- 2020Denoising Diffusion Probabilistic Models19 Jun
- 2020Improved Techniques for Training Score-Based Generative Models16 Jun
Other references · 14
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,322
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2015Variational Inference with Normalizing Flowscited by 2,161
- 2019An Introduction to Variational Autoencoderscited by 997
- 2022Denoising Diffusion Restoration Modelscited by 951
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2016Tutorial on Variational Autoencoderscited by 404
- 2021Score-based diffusion models for accelerated MRIcited by 308
- 2016Plug-and-Play ADMM for Image Restoration: Fixed Point Convergence and Applicationscited by 244
- 2020Solving Linear Inverse Problems Using the Prior Implicit in a Denoisercited by 78
- 2014Generative Adversarial Networkscited by 25
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Citing papers per year: 2024: 16; 2025: 25; 2026: 8.
49 papers.
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- 2024Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusioncited by 634
- 2024Diffusion Policy Policy Optimizationcited by 255
- 2025History-Guided Video Diffusioncited by 165
- 2024How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Frameworkcited by 48
- 2024Accelerating Diffusion Models with Parallel Sampling: Inference at Sub-Linear Time Complexitycited by 42
- 2024Denoising: A Powerful Building-Block for Imaging, Inverse Problems, and Machine Learningcited by 35
- 2024Generative Photography: Scene-Consistent Camera Control for Realistic Text-to-Image Synthesiscited by 26
- 2024Preference Tuning with Human Feedback on Language, Speech, and Vision Tasks: A Surveycited by 23
- 2025Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approachcited by 18
- 2024Poisson Variational Autoencodercited by 11
- 2024Self-Supervised Adversarial Diffusion Models for Fast MRI Reconstructioncited by 9
- 2024Bridging SFT and DPO for Diffusion Model Alignment with Self-Sampling Preference Optimizationcited by 8
37 more
- 2024Pixel-Space Post-Training of Latent Diffusion Modelscited by 6
- 2024Random Walks with Tweedie: A Unified View of Score-Based Diffusion Modelscited by 6
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flowscited by 6
- 2026Flow Equivariant World Models: Memory for Partially Observed Dynamic Environmentscited by 6
- 2024Diffusion Transformer Captures Spatial-Temporal Dependencies: A Theory for Gaussian Process Datacited by 5
- 2025Clustering via Self-Supervised Diffusioncited by 3
- 2025RODS: Robust Optimization Inspired Diffusion Sampling for Detecting and Reducing Hallucination in Generative Modelscited by 3
- 2025Benchmarking Diffusion Annealing-Based Bayesian Inverse Problem Solverscited by 2
- 2025SPIEDiff: robust learning of long-time macroscopic dynamics from short-time particle simulations with quantified epistemic uncertaintycited by 2
- 2025DiffPF: Differentiable Particle Filtering with Generative Sampling via Conditional Diffusion Modelscited by 2
- 2026ManifoldGD: Training-Free Hierarchical Manifold Guidance for Diffusion-Based Dataset Distillationcited by 2
- 2024A Deep Generative Framework for Joint Households and Individuals Population Synthesiscited by 1
- 2025DnD Filter: Differentiable State Estimation for Dynamic Systems using Diffusion Modelscited by 1
- 2025Preserve and Personalize: Personalized Text-to-Image Diffusion Models without Distributional Driftcited by 1
- 2025DiffVolume: Diffusion Models for Volume Generation in Limit Order Bookscited by 1
- 2025A Frequentist Statistical Introduction to Variational Inference, Autoencoders, and Diffusion Modelscited by 1
- 2025Is Your Conditional Diffusion Model Actually Denoising?cited by 1
- 2026A Gibbs posterior sampler for inverse problem based on prior diffusion modelcited by 1
- 2024IgCONDA-PET: Weakly-Supervised PET Anomaly Detection using Implicitly-Guided Attention-Conditional Counterfactual Diffusion Modeling -- a Multi-Center, Multi-Cancer, and Multi-Tracer Studycited by 0
- 2024Diffusion Model from Scratchcited by 0
- 2025Advancing MRI Reconstruction: A Systematic Review of Deep Learning and Compressed Sensing Integrationcited by 0
- 2025Compact Latent Representation for Image Compression (CLRIC)cited by 0
- 2025DiffBrush:Just Painting the Art by Your Handscited by 0
- 2025Generative Diffusion Model Driven Massive Random Access in Massive MIMO Systemscited by 0
- 2025What Do You Need for Compositional Generalization in Diffusion Planning?cited by 0
- 2025Optimization-Free Diffusion Model -- A Perturbation Theory Approachcited by 0
- 2025Unrolling Nonconvex Graph Total Variation for Image Denoisingcited by 0
- 2025Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterizationcited by 0
- 2025Object-centric Denoising Diffusion Models for Physical Reasoningcited by 0
- 2025prNet: Data-Driven Phase Retrieval via Stochastic Refinementcited by 0
- 2025Fast 3D Diffusion for Scalable Granular Media Synthesiscited by 0
- 2025CSMapping: Scalable Crowdsourced Semantic Mapping and Topology Inference for Autonomous Drivingcited by 0
- 2026Estimation of instrument and noise parameters for inverse problem based on prior diffusion modelcited by 0
- 2026Active Diffusion Matching: Score-based Iterative Alignment of Cross-Modal Retinal Imagescited by 0
- 2026Particle Diffusion Matching: Random Walk Correspondence Search for the Alignment of Standard and Ultra-Widefield Fundus Imagescited by 0
- 2026KLIP: localized distribution shift detection via KL-divergence with diffusion priors in Inverse Problemscited by 0
- 2026Scene-aware Prediction of Diverse Human Movement Goalscited by 0
- 2026Scene-aware Prediction of Diverse Human Movement Goals29 Jun 2026
- 2026KLIP: localized distribution shift detection via KL-divergence with diffusion priors in Inverse Problems29 May 2026
- 2026Particle Diffusion Matching: Random Walk Correspondence Search for the Alignment of Standard and Ultra-Widefield Fundus Images11 Apr 2026
- 2026Active Diffusion Matching: Score-based Iterative Alignment of Cross-Modal Retinal Images11 Apr 2026
- 2026ManifoldGD: Training-Free Hierarchical Manifold Guidance for Diffusion-Based Dataset Distillation26 Feb 2026
- 2026Estimation of instrument and noise parameters for inverse problem based on prior diffusion model12 Feb 2026
- 2026A Gibbs posterior sampler for inverse problem based on prior diffusion model11 Feb 2026
- 2026Flow Equivariant World Models: Memory for Partially Observed Dynamic Environments3 Jan 2026
- 2025Is Your Conditional Diffusion Model Actually Denoising?21 Dec 2025
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flows3 Dec 2025
- 2025CSMapping: Scalable Crowdsourced Semantic Mapping and Topology Inference for Autonomous Driving3 Dec 2025
- 2025A Frequentist Statistical Introduction to Variational Inference, Autoencoders, and Diffusion Models21 Oct 2025
37 more
- 2025Fast 3D Diffusion for Scalable Granular Media Synthesis27 Aug 2025
- 2025DiffVolume: Diffusion Models for Volume Generation in Limit Order Books12 Aug 2025
- 2025DiffPF: Differentiable Particle Filtering with Generative Sampling via Conditional Diffusion Models21 Jul 2025
- 2025RODS: Robust Optimization Inspired Diffusion Sampling for Detecting and Reducing Hallucination in Generative Models16 Jul 2025
- 2025prNet: Data-Driven Phase Retrieval via Stochastic Refinement13 Jul 2025
- 2025Object-centric Denoising Diffusion Models for Physical Reasoning7 Jul 2025
- 2025Clustering via Self-Supervised Diffusion6 Jul 2025
- 2025Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterization24 Jun 2025
- 2025Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approach4 Jun 2025
- 2025Unrolling Nonconvex Graph Total Variation for Image Denoising3 Jun 2025
- 2025Optimization-Free Diffusion Model -- A Perturbation Theory Approach29 May 2025
- 2025Preserve and Personalize: Personalized Text-to-Image Diffusion Models without Distributional Drift26 May 2025
- 2025What Do You Need for Compositional Generalization in Diffusion Planning?23 May 2025
- 2025Generative Diffusion Model Driven Massive Random Access in Massive MIMO Systems18 May 2025
- 2025SPIEDiff: robust learning of long-time macroscopic dynamics from short-time particle simulations with quantified epistemic uncertainty16 May 2025
- 2025Benchmarking Diffusion Annealing-Based Bayesian Inverse Problem Solvers4 Mar 2025
- 2025DnD Filter: Differentiable State Estimation for Dynamic Systems using Diffusion Models3 Mar 2025
- 2025DiffBrush:Just Painting the Art by Your Hands28 Feb 2025
- 2025Compact Latent Representation for Image Compression (CLRIC)20 Feb 2025
- 2025History-Guided Video Diffusion10 Feb 2025
- 2025Advancing MRI Reconstruction: A Systematic Review of Deep Learning and Compressed Sensing Integration24 Jan 2025
- 2024Diffusion Model from Scratch14 Dec 2024
- 2024Generative Photography: Scene-Consistent Camera Control for Realistic Text-to-Image Synthesis3 Dec 2024
- 2024Random Walks with Tweedie: A Unified View of Score-Based Diffusion Models27 Nov 2024
- 2024Bridging SFT and DPO for Diffusion Model Alignment with Self-Sampling Preference Optimization7 Oct 2024
- 2024How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Framework4 Oct 2024
- 2024Pixel-Space Post-Training of Latent Diffusion Models26 Sep 2024
- 2024Preference Tuning with Human Feedback on Language, Speech, and Vision Tasks: A Survey17 Sep 2024
- 2024Denoising: A Powerful Building-Block for Imaging, Inverse Problems, and Machine Learning10 Sep 2024
- 2024Diffusion Policy Policy Optimization1 Sep 2024
- 2024Diffusion Transformer Captures Spatial-Temporal Dependencies: A Theory for Gaussian Process Data23 Jul 2024
- 2024Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusion1 Jul 2024
- 2024A Deep Generative Framework for Joint Households and Individuals Population Synthesis30 Jun 2024
- 2024Self-Supervised Adversarial Diffusion Models for Fast MRI Reconstruction21 Jun 2024
- 2024Accelerating Diffusion Models with Parallel Sampling: Inference at Sub-Linear Time Complexity24 May 2024
- 2024Poisson Variational Autoencoder23 May 2024
- 2024IgCONDA-PET: Weakly-Supervised PET Anomaly Detection using Implicitly-Guided Attention-Conditional Counterfactual Diffusion Modeling -- a Multi-Center, Multi-Cancer, and Multi-Tracer Study30 Apr 2024
- 2024Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusioncited by 634
- 2024Diffusion Policy Policy Optimizationcited by 255
- 2025History-Guided Video Diffusioncited by 165
- 2024How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Frameworkcited by 48
- 2024Accelerating Diffusion Models with Parallel Sampling: Inference at Sub-Linear Time Complexitycited by 42
- 2025Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approachcited by 18
- 2024Self-Supervised Adversarial Diffusion Models for Fast MRI Reconstructioncited by 9
- 2024Bridging SFT and DPO for Diffusion Model Alignment with Self-Sampling Preference Optimizationcited by 8
- 2024Pixel-Space Post-Training of Latent Diffusion Modelscited by 6
- 2024Random Walks with Tweedie: A Unified View of Score-Based Diffusion Modelscited by 6
- 2024Diffusion Transformer Captures Spatial-Temporal Dependencies: A Theory for Gaussian Process Datacited by 5
- 2025Clustering via Self-Supervised Diffusioncited by 3
12 most cited of 31 All 31 (JSON)
- 2026KLIP: localized distribution shift detection via KL-divergence with diffusion priors in Inverse Problems29 May 2026
- 2026Estimation of instrument and noise parameters for inverse problem based on prior diffusion model12 Feb 2026
- 2026A Gibbs posterior sampler for inverse problem based on prior diffusion model11 Feb 2026
- 2025Is Your Conditional Diffusion Model Actually Denoising?21 Dec 2025
- 2025A Frequentist Statistical Introduction to Variational Inference, Autoencoders, and Diffusion Models21 Oct 2025
- 2025Fast 3D Diffusion for Scalable Granular Media Synthesis27 Aug 2025
- 2025DiffVolume: Diffusion Models for Volume Generation in Limit Order Books12 Aug 2025
- 2025DiffPF: Differentiable Particle Filtering with Generative Sampling via Conditional Diffusion Models21 Jul 2025
- 2025RODS: Robust Optimization Inspired Diffusion Sampling for Detecting and Reducing Hallucination in Generative Models16 Jul 2025
- 2025Object-centric Denoising Diffusion Models for Physical Reasoning7 Jul 2025
- 2025Clustering via Self-Supervised Diffusion6 Jul 2025
- 2025Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approach4 Jun 2025
12 newest of 31 All 31 (JSON)
- 2024Denoising: A Powerful Building-Block for Imaging, Inverse Problems, and Machine Learningcited by 35
- 2024Generative Photography: Scene-Consistent Camera Control for Realistic Text-to-Image Synthesiscited by 26
- 2024Poisson Variational Autoencodercited by 11
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flowscited by 6
- 2026ManifoldGD: Training-Free Hierarchical Manifold Guidance for Diffusion-Based Dataset Distillationcited by 2
- 2024A Deep Generative Framework for Joint Households and Individuals Population Synthesiscited by 1
- 2025Advancing MRI Reconstruction: A Systematic Review of Deep Learning and Compressed Sensing Integrationcited by 0
- 2025Compact Latent Representation for Image Compression (CLRIC)cited by 0
- 2025Unrolling Nonconvex Graph Total Variation for Image Denoisingcited by 0
- 2025Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterizationcited by 0
- 2025prNet: Data-Driven Phase Retrieval via Stochastic Refinementcited by 0
- 2025CSMapping: Scalable Crowdsourced Semantic Mapping and Topology Inference for Autonomous Drivingcited by 0
12 most cited of 15 All 15 (JSON)
- 2026Scene-aware Prediction of Diverse Human Movement Goals29 Jun 2026
- 2026Particle Diffusion Matching: Random Walk Correspondence Search for the Alignment of Standard and Ultra-Widefield Fundus Images11 Apr 2026
- 2026Active Diffusion Matching: Score-based Iterative Alignment of Cross-Modal Retinal Images11 Apr 2026
- 2026ManifoldGD: Training-Free Hierarchical Manifold Guidance for Diffusion-Based Dataset Distillation26 Feb 2026
- 2025SimFlow: Simplified and End-to-End Training of Latent Normalizing Flows3 Dec 2025
- 2025CSMapping: Scalable Crowdsourced Semantic Mapping and Topology Inference for Autonomous Driving3 Dec 2025
- 2025prNet: Data-Driven Phase Retrieval via Stochastic Refinement13 Jul 2025
- 2025Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterization24 Jun 2025
- 2025Unrolling Nonconvex Graph Total Variation for Image Denoising3 Jun 2025
- 2025Compact Latent Representation for Image Compression (CLRIC)20 Feb 2025
- 2025Advancing MRI Reconstruction: A Systematic Review of Deep Learning and Compressed Sensing Integration24 Jan 2025
- 2024Generative Photography: Scene-Consistent Camera Control for Realistic Text-to-Image Synthesis3 Dec 2024
12 newest of 15 All 15 (JSON)
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- 2023State of the Art on Diffusion Models for Visual Computing
- 2024Efficient Diffusion Models: A Comprehensive Survey from Principles to Practices
- 2023Understanding and contextualising diffusion models
- 2024Video Diffusion Models: A Survey
- 2022Diffusion Models in Vision: A Survey
- 2023Nested Diffusion Processes for Anytime Image Generation