Counterfactuals uncover the modular structure of deep generative models
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Abstract (arXiv)
Deep generative models can emulate the perceptual properties of complex image datasets, providing a latent representation of the data. However, manipulating such representation to perform meaningful and controllable transformations in the data space remains challenging without some form of supervision. While previous work has focused on exploiting statistical independence to disentangle latent factors, we argue that such requirement is too restrictive and propose instead a non-statistical framework that relies on counterfactual manipulations to uncover a modular structure of the network composed of disentangled groups of internal variables. Experiments with a variety of generative models trained on complex image datasets show the obtained modules can be used to design targeted interventions. This opens the way to applications such as computationally efficient style transfer and the automated assessment of robustness to contextual changes in pattern recognition systems.
Key facts. Cited by 51 papers in the map (data through 14 Oct 2026). First posted on arXiv 8 Dec 2018.
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Citing papers per year: 2021: 19; 2022: 14; 2023: 10; 2024: 6; 2025: 1; 2026: 1.
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- 2021Towards Causal Representation Learningcited by 209
- 2023Causal Abstraction: A Theoretical Foundation for Mechanistic Interpretabilitycited by 205
- 2021Counterfactual Generative Networkscited by 111
- 2021Inducing Causal Structure for Interpretable Neural Networkscited by 110
- 2021Independent mechanism analysis, a new concept?cited by 97
- 2021Counterfactual Zero-Shot and Open-Set Visual Recognitioncited by 95
- 2021Interventional Video Grounding with Dual Contrastive Learningcited by 94
- 2022Debiased Learning from Naturally Imbalanced Pseudo-Labelscited by 85
- 2021Explainability of deep vision-based autonomous driving systems: Review and challengescited by 80
- 2021Counterfactual Invariance to Spurious Correlations: Why and How to Pass Stress Testscited by 77
- 2022Cross-Modal Causal Relational Reasoning for Event-Level Visual Question Answeringcited by 57
- 2021Using latent space regression to analyze and leverage compositionality in GANscited by 55
38 more
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- 2022A Causal Lens for Controllable Text Generationcited by 45
- 2022From Statistical to Causal Learningcited by 40
- 2021Counterfactual State Explanations for Reinforcement Learning Agents via Generative Deep Learningcited by 39
- 2021Transporting Causal Mechanisms for Unsupervised Domain Adaptationcited by 38
- 2022Invariant and Transportable Representations for Anti-Causal Domain Shiftscited by 37
- 2024Exploring Diffusion Time-steps for Unsupervised Representation Learningcited by 36
- 2024Emergence of Hidden Capabilities: Exploring Learning Dynamics in Concept Spacecited by 35
- 2022Invariant Feature Learning for Generalized Long-Tailed Classificationcited by 34
- 2023Measuring axiomatic soundness of counterfactual image modelscited by 34
- 2024LTGC: Long-tail Recognition via Leveraging LLMs-driven Generated Contentcited by 33
- 2022Symmetry-Based Representations for Artificial and Biological General Intelligencecited by 26
- 2022ComCLIP: Training-Free Compositional Image and Text Matchingcited by 26
- 2021Learning Domain Invariant Representations for Generalizable Person Re-Identificationcited by 22
- 2022CPL: Counterfactual Prompt Learning for Vision and Language Modelscited by 18
- 2021The Blessings of Unlabeled Background in Untrimmed Videoscited by 16
- 2023Visual Causal Scene Refinement for Video Question Answeringcited by 16
- 2023Targeted Reduction of Causal Modelscited by 15
- 2021Improving Weakly-supervised Object Localization via Causal Interventioncited by 14
- 2021Towards Unbiased Visual Emotion Recognition via Causal Interventioncited by 11
- 2025Visual Jenga: Discovering Object Dependencies via Counterfactual Inpaintingcited by 11
- 2023Emerging Synergies in Causality and Deep Generative Models: A Surveycited by 10
- 2024Interpreting Low-level Vision Models with Causal Effect Mapscited by 8
- 2021VDSM: Unsupervised Video Disentanglement with State-Space Modeling and Deep Mixtures of Expertscited by 6
- 2022Intelligent Computing: The Latest Advances, Challenges and Futurecited by 6
- 2024Towards the Reusability and Compositionality of Causal Representationscited by 5
- 2026Steer Like the LLM: Activation Steering that Mimics Promptingcited by 5
- 2023VCD: Visual Causality Discovery for Cross-Modal Question Reasoningcited by 2
- 2023AIRIVA: A Deep Generative Model of Adaptive Immune Repertoirescited by 2
- 2021Hierarchical Variational Autoencoder for Visual Counterfactualscited by 1
- 2022Explanatory causal effects for model agnostic explanationscited by 1
- 2023SCADI: Self-supervised Causal Disentanglement in Latent Variable Modelscited by 1
- 2024Bayesian Unsupervised Disentanglement of Anatomy and Geometry for Deep Groupwise Image Registrationcited by 1
- 2021Recovering Barab'asi-Albert Parameters of Graphs through Disentanglementcited by 0
- 2022Attribute Graphs Underlying Molecular Generative Models: Path to Learning with Limited Datacited by 0
- 2022Nonlinear Causal Discovery via Kernel Anchor Regressioncited by 0
- 2023CausalAPM: Generalizable Literal Disentanglement for NLU Debiasingcited by 0
50 most cited of 51 All 51 (JSON)
- 2026Steer Like the LLM: Activation Steering that Mimics Prompting5 May 2026
- 2025Visual Jenga: Discovering Object Dependencies via Counterfactual Inpainting27 Mar 2025
- 2024Interpreting Low-level Vision Models with Causal Effect Maps29 Jul 2024
- 2024Emergence of Hidden Capabilities: Exploring Learning Dynamics in Concept Space27 Jun 2024
- 2024Towards the Reusability and Compositionality of Causal Representations14 Mar 2024
- 2024LTGC: Long-tail Recognition via Leveraging LLMs-driven Generated Content9 Mar 2024
- 2024Exploring Diffusion Time-steps for Unsupervised Representation Learning21 Jan 2024
- 2024Bayesian Unsupervised Disentanglement of Anatomy and Geometry for Deep Groupwise Image Registration4 Jan 2024
- 2023Targeted Reduction of Causal Models30 Nov 2023
- 2023SCADI: Self-supervised Causal Disentanglement in Latent Variable Models11 Nov 2023
- 2023Learning Causal Mechanisms through Orthogonal Neural Networks5 Jun 2023
- 2023Visual Causal Scene Refinement for Video Question Answering7 May 2023
38 more
- 2023CausalAPM: Generalizable Literal Disentanglement for NLU Debiasing4 May 2023
- 2023AIRIVA: A Deep Generative Model of Adaptive Immune Repertoires26 Apr 2023
- 2023VCD: Visual Causality Discovery for Cross-Modal Question Reasoning17 Apr 2023
- 2023Measuring axiomatic soundness of counterfactual image models2 Mar 2023
- 2023Emerging Synergies in Causality and Deep Generative Models: A Survey29 Jan 2023
- 2023Causal Abstraction: A Theoretical Foundation for Mechanistic Interpretability11 Jan 2023
- 2022ComCLIP: Training-Free Compositional Image and Text Matching25 Nov 2022
- 2022Intelligent Computing: The Latest Advances, Challenges and Future21 Nov 2022
- 2022Mechanistic Mode Connectivity15 Nov 2022
- 2022Nonlinear Causal Discovery via Kernel Anchor Regression30 Oct 2022
- 2022CPL: Counterfactual Prompt Learning for Vision and Language Models19 Oct 2022
- 2022Cross-Modal Causal Relational Reasoning for Event-Level Visual Question Answering26 Jul 2022
- 2022Invariant Feature Learning for Generalized Long-Tailed Classification19 Jul 2022
- 2022Attribute Graphs Underlying Molecular Generative Models: Path to Learning with Limited Data14 Jul 2022
- 2022Invariant and Transportable Representations for Anti-Causal Domain Shifts4 Jul 2022
- 2022Explanatory causal effects for model agnostic explanations23 Jun 2022
- 2022From Statistical to Causal Learning1 Apr 2022
- 2022Symmetry-Based Representations for Artificial and Biological General Intelligence17 Mar 2022
- 2022A Causal Lens for Controllable Text Generation22 Jan 2022
- 2022Debiased Learning from Naturally Imbalanced Pseudo-Labels5 Jan 2022
- 2021Inducing Causal Structure for Interpretable Neural Networks1 Dec 2021
- 2021Learning Disentangled Representations in the Imaging Domain26 Aug 2021
- 2021Towards Unbiased Visual Emotion Recognition via Causal Intervention26 Jul 2021
- 2021Transporting Causal Mechanisms for Unsupervised Domain Adaptation23 Jul 2021
- 2021Interventional Video Grounding with Dual Contrastive Learning21 Jun 2021
- 2021Independent mechanism analysis, a new concept?9 Jun 2021
- 2021Counterfactual Invariance to Spurious Correlations: Why and How to Pass Stress Tests31 May 2021
- 2021Recovering Barab'asi-Albert Parameters of Graphs through Disentanglement3 May 2021
- 2021Improving Weakly-supervised Object Localization via Causal Intervention21 Apr 2021
- 2021Learning Domain Invariant Representations for Generalizable Person Re-Identification29 Mar 2021
- 2021The Blessings of Unlabeled Background in Untrimmed Videos24 Mar 2021
- 2021Using latent space regression to analyze and leverage compositionality in GANs18 Mar 2021
- 2021VDSM: Unsupervised Video Disentanglement with State-Space Modeling and Deep Mixtures of Experts12 Mar 2021
- 2021Counterfactual Zero-Shot and Open-Set Visual Recognition1 Mar 2021
- 2021Towards Causal Representation Learning22 Feb 2021
- 2021Hierarchical Variational Autoencoder for Visual Counterfactuals1 Feb 2021
- 2021Counterfactual State Explanations for Reinforcement Learning Agents via Generative Deep Learning29 Jan 2021
- 2021Counterfactual Generative Networks15 Jan 2021
50 newest of 51 All 51 (JSON)
- 2021Towards Causal Representation Learningcited by 209
- 2021Counterfactual Generative Networkscited by 111
- 2021Inducing Causal Structure for Interpretable Neural Networkscited by 110
- 2021Independent mechanism analysis, a new concept?cited by 97
- 2021Counterfactual Zero-Shot and Open-Set Visual Recognitioncited by 95
- 2021Interventional Video Grounding with Dual Contrastive Learningcited by 94
- 2022Debiased Learning from Naturally Imbalanced Pseudo-Labelscited by 85
- 2021Explainability of deep vision-based autonomous driving systems: Review and challengescited by 80
- 2021Counterfactual Invariance to Spurious Correlations: Why and How to Pass Stress Testscited by 77
- 2021Using latent space regression to analyze and leverage compositionality in GANscited by 55
- 2022Mechanistic Mode Connectivitycited by 50
- 2021Learning Disentangled Representations in the Imaging Domaincited by 46
12 most cited of 47 All 47 (JSON)
- 2025Visual Jenga: Discovering Object Dependencies via Counterfactual Inpainting27 Mar 2025
- 2024Interpreting Low-level Vision Models with Causal Effect Maps29 Jul 2024
- 2024Emergence of Hidden Capabilities: Exploring Learning Dynamics in Concept Space27 Jun 2024
- 2024Towards the Reusability and Compositionality of Causal Representations14 Mar 2024
- 2024LTGC: Long-tail Recognition via Leveraging LLMs-driven Generated Content9 Mar 2024
- 2024Exploring Diffusion Time-steps for Unsupervised Representation Learning21 Jan 2024
- 2024Bayesian Unsupervised Disentanglement of Anatomy and Geometry for Deep Groupwise Image Registration4 Jan 2024
- 2023Targeted Reduction of Causal Models30 Nov 2023
- 2023SCADI: Self-supervised Causal Disentanglement in Latent Variable Models11 Nov 2023
- 2023Learning Causal Mechanisms through Orthogonal Neural Networks5 Jun 2023
- 2023Visual Causal Scene Refinement for Video Question Answering7 May 2023
- 2023CausalAPM: Generalizable Literal Disentanglement for NLU Debiasing4 May 2023
12 newest of 47 All 47 (JSON)