mlsanityData to 7 Oct 2026

Local Intrinsic Dimension Unveils Hallucinations in Diffusion Models

arXiv 2605.05026 ↗First posted 6 May 2026cs.CV cs.AIcited by 1

On the map: Diffusion models → Medical imaging and segmentation

Abstract (arXiv)

Diffusion models are prone to generating structural hallucinations - samples that match the statistical properties of the training data yet defy underlying structural rules, resulting in anomalies like hands with more than five fingers. Recent research studied this failure mode from several viewpoints, offering partial explanations to their occurrence, such as mode interpolation. In this work, we propose a complementary perspective that treats hallucinations as instabilities on the model-induced manifold. We begin by showing that a hallucination filter based on such instabilities matches or exceeds the performance of the recently proposed temporal one. By tracing the source of these instabilities, we identify local intrinsic dimension (LID) as their primary driver and propose Intrinsic Quenching (IQ), a direct corrective mechanism that deflates it to alleviate hallucinations. IQ consistently outperforms standard hallucination reduction baselines across a wide array of benchmarks and offers a highly promising solution for enforcing anatomical consistency in downstream medical imaging tasks.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Medical imaging and segmentation, one of 14 directions in Diffusion models. Builds on 63 of its 82 references that are in the map. First posted on arXiv 6 May 2026.

Builds on

63 of 82 references.

Closest ancestors · 8

Same direction, newest first

  1. 2025Counting Hallucinations in Diffusion Models15 Oct
  2. 2025Mitigating Diffusion Model Hallucinations with Dynamic Guidance6 Oct
  3. 2025RODS: Robust Optimization Inspired Diffusion Sampling for Detecting and Reducing Hallucination in Generative Models16 Jul
  4. 2025Towards Understanding Text Hallucination of Diffusion Models via Local Generation Bias5 Mar
  5. 2025Mitigating Hallucinations in Diffusion Models through Adaptive Attention Modulation24 Feb
  6. 2024Hallucination Index: An Image Quality Metric for Generative Reconstruction Models17 Jul
  7. 2024Understanding Hallucinations in Diffusion Models through Mode Interpolation13 Jun
  8. 2024Tackling Structural Hallucination in Image Translation with Local Diffusion9 Apr

Other references · 55

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
  4. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  5. 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,029
  6. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  7. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  8. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  9. 2017A Unified Approach to Interpreting Model Predictionscited by 6,488
  10. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 5,986
  11. 2022Flow Matching for Generative Modelingcited by 5,426
  12. 2021Zero-Shot Text-to-Image Generationcited by 4,276
38 more
  1. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  2. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,550
  3. 2017Axiomatic Attribution for Deep Networkscited by 3,350
  4. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
  5. 2023Consistency Modelscited by 1,778
  6. 2018ImageNet-trained CNNs are biased towards texture; increasing shape bias improves accuracy and robustnesscited by 1,430
  7. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,375
  8. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
  9. 2019StarGAN v2: Diverse Image Synthesis for Multiple Domainscited by 1,095
  10. 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
  11. 2021Towards Total Recall in Industrial Anomaly Detectioncited by 772
  12. 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distributioncited by 712
  13. 2022Equivariant Diffusion for Molecule Generation in 3Dcited by 666
  14. 2017The Perception-Distortion Tradeoffcited by 582
  15. 2025Mean Flows for One-step Generative Modelingcited by 524
  16. 2022TabDDPM: Modelling Tabular Data with Diffusion Modelscited by 373
  17. 2021The Intrinsic Dimension of Images and Its Impact on Learningcited by 307
  18. 2023Rethinking FID: Towards a Better Evaluation Metric for Image Generationcited by 303
  19. 2018Characterizing Adversarial Subspaces Using Local Intrinsic Dimensionalitycited by 280
  20. 2019Intrinsic dimension of data representations in deep neural networkscited by 276
  21. 2024Adjoint Matching: Fine-tuning Flow and Diffusion Generative Models with Memoryless Stochastic Optimal Controlcited by 222
  22. 2023I2SB: Image-to-Image Schr"odinger Bridgecited by 214
  23. 2019On instabilities of deep learning in image reconstruction - Does AI come at a cost?cited by 211
  24. 2023Exposing flaws of generative model evaluation metrics and their unfair treatment of diffusion modelscited by 199
  25. 2023Image Restoration with Mean-Reverting Stochastic Differential Equationscited by 182
  26. 2023Denoising Diffusion Bridge Modelscited by 171
  27. 2022Score-Based Generative Models Detect Manifoldscited by 121
  28. 2023Understanding the Latent Space of Diffusion Models through the Lens of Riemannian Geometrycited by 121
  29. 2024A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Datacited by 88
  30. 201711K Hands: Gender recognition and biometric identification using a large dataset of hand imagescited by 46
  31. 2023Image Restoration by Denoising Diffusion Models with Iteratively Preconditioned Guidancecited by 43
  32. 2023HandRefiner: Refining Malformed Hands in Generated Images by Diffusion-based Conditional Inpaintingcited by 42
  33. 2024HanDiffuser: Text-to-Image Generation With Realistic Hand Appearancescited by 42
  34. 2023Image Restoration Through Generalized Ornstein-Uhlenbeck Bridgecited by 41
  35. 2024A Geometric View of Data Complexity: Efficient Local Intrinsic Dimension Estimation with Diffusion Modelscited by 41
  36. 2024A Geometric Framework for Understanding Memorization in Generative Modelscited by 40
  37. 2022LIDL: Local Intrinsic Dimension Estimation Using Approximate Likelihoodcited by 30
  38. 2025An Analytical Theory of Spectral Bias in the Learning Dynamics of Diffusion Modelscited by 26

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Citing papers per year: 2026: 1.

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  1. 2026Score-Control for Hallucination Reduction in Diffusion Models
  2. 2025Laplacian Score Sharpening for Mitigating Hallucination in Diffusion Models
  3. 2025Grounding the Ungrounded: A Spectral-Graph Framework for Quantifying Hallucinations in Multimodal LLMs
  4. 2025Tackling Hallucination from Conditional Models for Medical Image Reconstruction with DynamicDPS
  5. 2026Hallucination Early Detection in Diffusion Models
  6. 2026HAD: Hallucination-Aware Diffusion Priors for 3D Reconstruction
  7. 2026Beyond Superficial Unlearning: Sharpness-Aware Robust Erasure of Hallucinations in Multimodal LLMs
  8. 2026MEND: Label-Free Detection, Localisation, and Correction of Latent Hallucination in World Models