mlsanityData to 14 Oct 2026

Diffusion Counterfactual Generation with Semantic Abduction

arXiv 2506.07883 ↗First posted 9 Jun 2025cs.LG cs.AI cs.CVcited by 10

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Counterfactual image generation presents significant challenges, including preserving identity, maintaining perceptual quality, and ensuring faithfulness to an underlying causal model. While existing auto-encoding frameworks admit semantic latent spaces which can be manipulated for causal control, they struggle with scalability and fidelity. Advancements in diffusion models present opportunities for improving counterfactual image editing, having demonstrated state-of-the-art visual quality, human-aligned perception and representation learning capabilities. Here, we present a suite of diffusion-based causal mechanisms, introducing the notions of spatial, semantic and dynamic abduction. We propose a general framework that integrates semantic representations into diffusion models through the lens of Pearlian causality to edit images via a counterfactual reasoning process. To our knowledge, this is the first work to consider high-level semantic identity preservation for diffusion counterfactuals and to demonstrate how semantic control enables principled trade-offs between faithful causal control and identity preservation.

Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 118 of its 144 references that are in the map. First posted on arXiv 9 Jun 2025.

Builds on

118 of 144 references.

Closest ancestors · 22

Same direction, newest first

  1. 2024CFG++: Manifold-constrained Classifier Free Guidance for Diffusion Models12 Jun
  2. 2024Guiding a Diffusion Model with a Bad Version of Itself4 Jun
  3. 2024Causal Diffusion Autoencoders: Toward Counterfactual Generation via Diffusion Probabilistic Models27 Apr
  4. 2024Denoising Diffusion Probabilistic Models in Six Simple Steps6 Feb
  5. 2023The Hidden Linear Structure in Score-Based Models and its Application17 Nov
  6. 2023Understanding the Latent Space of Diffusion Models through the Lens of Riemannian Geometry24 Jul
  7. 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesis4 Jul
  8. 2023Common Diffusion Noise Schedules and Sample Steps are Flawed15 May
  9. 2023Variational Diffusion Auto-encoder: Latent Space Extraction from Pre-trained Diffusion Models24 Apr
  10. 2023Discovering Interpretable Directions in the Semantic Latent Space of Diffusion Models20 Mar
  11. 2023Consistency Models2 Mar
  12. 2022Unsupervised Representation Learning from Pre-trained Diffusion Probabilistic Models26 Dec
10 more
  1. 2022Understanding Diffusion Models: A Unified Perspective25 Aug
  2. 2022Classifier-Free Diffusion Guidance26 Jul
  3. 2022DiffuseVAE: Efficient, Controllable and High-Fidelity Generation from Low-Dimensional Latents2 Jan
  4. 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
  5. 2021Diffusion Autoencoders: Toward a Meaningful and Decodable Representation30 Nov
  6. 2021Diffusion Models Beat GANs on Image Synthesis11 May
  7. 2021Improved Denoising Diffusion Probabilistic Models18 Feb
  8. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
  9. 2020Denoising Diffusion Implicit Models6 Oct
  10. 2020Denoising Diffusion Probabilistic Models19 Jun

Other references · 96

  1. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
  2. 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,177
  3. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  4. 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,355
  5. 2018A Style-Based Generator Architecture for Generative Adversarial Networkscited by 6,013
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38 more
  1. 2022An Image is Worth One Word: Personalizing Text-to-Image Generation using Textual Inversioncited by 2,245
  2. 2014Conditional Generative Adversarial Netscited by 2,162
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  38. 2020Weakly Supervised Disentangled Generative Causal Representation Learningcited by 68

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 2; 2026: 8.

10 papers.

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  2. 2026MaskDiME: Adaptive Masked Diffusion for Precise and Efficient Visual Counterfactual Explanations
  3. 2025The Causal Round Trip: Generating Authentic Counterfactuals by Eliminating Information Loss
  4. 2026Are Text-to-Image Models Inductivist Turkeys? A Counterfactual Benchmark for Causal Reasoning
  5. 2023Navigating the Structured What-If Spaces: Counterfactual Generation via Structured Diffusion
  6. 2026Leveraging Foundation Models for Causal Generative Modeling
  7. 2025Diffusion Counterfactuals for Image Regressors
  8. 2025MammothModa2: A Unified AR-Diffusion Framework for Multimodal Understanding and Generation