Invariance, Causality and Robustness
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Abstract (arXiv)
We discuss recent work for causal inference and predictive robustness in a unifying way. The key idea relies on a notion of probabilistic invariance or stability: it opens up new insights for formulating causality as a certain risk minimization problem with a corresponding notion of robustness. The invariance itself can be estimated from general heterogeneous or perturbation data which frequently occur with nowadays data collection. The novel methodology is potentially useful in many applications, offering more robustness and better `causal-oriented' interpretation than machine learning or estimation in standard regression or classification frameworks.
Key facts. Cited by 123 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Dec 2018.
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Citing papers per year: 2020: 1; 2021: 18; 2022: 30; 2023: 34; 2024: 8; 2025: 18; 2026: 14.
123 papers.
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- 2021Towards Out-Of-Distribution Generalization: A Surveycited by 431
- 2022Discovering Invariant Rationales for Graph Neural Networkscited by 186
- 2023Understanding plasticity in neural networkscited by 170
- 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 163
- 2024Automatically Interpreting Millions of Features in Large Language Modelscited by 106
- 2025LLM Social Simulations Are a Promising Research Methodcited by 97
- 2023Discover and Cure: Concept-aware Mitigation of Spurious Correlationcited by 71
- 2020Fighting Copycat Agents in Behavioral Cloning from Observation Historiescited by 70
- 2021On the Adversarial Robustness of Causal Algorithmic Recoursecited by 56
- 2023Eliciting Latent Knowledge from Quirky Language Modelscited by 56
- 2022Out-of-distribution Generalization with Causal Invariant Transformationscited by 45
- 2021Towards Robust and Adaptive Motion Forecasting: A Causal Representation Perspectivecited by 40
38 more
- 2021CausalAdv: Adversarial Robustness through the Lens of Causalitycited by 37
- 2022Anticipating Performativity by Predicting from Predictionscited by 37
- 2023Mind the Label Shift of Augmentation-based Graph OOD Generalizationcited by 34
- 2022FaiRR: Faithful and Robust Deductive Reasoning over Natural Languagecited by 29
- 2024Unbiased Faster R-CNN for Single-source Domain Generalized Object Detectioncited by 29
- 2023Environment-Aware Dynamic Graph Learning for Out-of-Distribution Generalizationcited by 26
- 2022Gradient Masked Averaging for Federated Learningcited by 22
- 2022Fair Representation Learning through Implicit Path Alignmentcited by 22
- 2022Freeze then Train: Towards Provable Representation Learning under Spurious Correlations and Feature Noisecited by 22
- 2022Informativeness and Invariance: Two Perspectives on Spurious Correlations in Natural Languagecited by 21
- 2023Causal Deep Learningcited by 20
- 2021On the benefits of representation regularization in invariance based domain generalizationcited by 17
- 2022CausPref: Causal Preference Learning for Out-of-Distribution Recommendationcited by 17
- 2021Optimization-based Causal Estimation from Heterogenous Environmentscited by 16
- 2022Causal Intervention Improves Implicit Sentiment Analysiscited by 16
- 2021Beyond Predictions in Neural ODEs: Identification and Interventionscited by 15
- 2021Interpolation can hurt robust generalization even when there is no noisecited by 15
- 2022Domain Generalization -- A Causal Perspectivecited by 14
- 2023Efficient Adversarial Contrastive Learning via Robustness-Aware Coreset Selectioncited by 14
- 2023Domain Generalisation via Risk Distribution Matchingcited by 14
- 2022Characterization and Greedy Learning of Gaussian Structural Causal Models under Unknown Interventionscited by 12
- 2024LCA-on-the-Line: Benchmarking Out-of-Distribution Generalization with Class Taxonomiescited by 12
- 2025Towards Interpretable Deep Generative Models via Causal Representation Learningcited by 12
- 2021Out-of-Distribution Generalization Analysis via Influence Functioncited by 11
- 2022Towards out of distribution generalization for problems in mechanicscited by 11
- 2023Bivariate Causal Discovery using Bayesian Model Selectioncited by 11
- 2022Learning Counterfactually Invariant Predictorscited by 10
- 2023Enhancing Adversarial Contrastive Learning via Adversarial Invariant Regularizationcited by 10
- 2022Finding Diverse and Predictable Subgraphs for Graph Domain Generalizationcited by 9
- 2023Causality Guided Disentanglement for Cross-Platform Hate Speech Detectioncited by 9
- 2021Operationalizing Complex Causes: A Pragmatic View of Mediationcited by 8
- 2023Grounded Image Text Matching with Mismatched Relation Reasoningcited by 8
- 2023Debiasing Recommendation by Learning Identifiable Latent Confounderscited by 7
- 2023Intervention Generalization: A View from Factor Graph Modelscited by 7
- 2022Vision Paper: Causal Inference for Interpretable and Robust Machine Learning in Mobility Analysiscited by 6
- 2023Hierarchical Disentanglement-Alignment Network for Robust SAR Vehicle Recognitioncited by 6
- 2023PEACE: Cross-Platform Hate Speech Detection- A Causality-guided Frameworkcited by 6
- 2024Progression: an extrapolation principle for regressioncited by 6
50 most cited of 123 All 123 (JSON)
- 2026CVaR anchor regression protects against rare shifts22 Sep 2026
- 2026Unveiling Invariant and Transferable Latent Factors Across Heterogeneous Environments via ATLAS20 Jul 2026
- 2026How Useful is Causal Invariance for Domain Adaptation in Finite-Sample Settings?10 Jun 2026
- 2026Prediction-Intervention Games and Invariant Sets16 May 2026
- 2026Differentiable latent structure discovery for interpretable forecasting in clinical time series30 Apr 2026
- 2026Causally-Guided Diffusion for Stable Feature Selection21 Mar 2026
- 2026Age Predictors Through the Lens of Generalization, Bias Mitigation, and Interpretability: Reflections on Causal Implications17 Mar 2026
- 2026Anti-causal domain generalization: Leveraging unlabeled data19 Feb 2026
- 2026WED-Net: A Weather-Effect Disentanglement Network with Causal Augmentation for Urban Flow Prediction30 Jan 2026
- 2026Factored Causal Representation Learning for Robust Reward Modeling in RLHF29 Jan 2026
- 2026Distribution Shift Is Key to Learning Invariant Prediction18 Jan 2026
- 2026Explainable AI: Learning from the Learners9 Jan 2026
38 more
- 2026Environment-Adaptive Covariate Selection: Learning When to Use Spurious Correlations for Out-of-Distribution Prediction5 Jan 2026
- 2026Personalizing black-box models for nonparametric regression with minimax optimality4 Jan 2026
- 2025Causal Structure and Representation Learning with Biomedical Applications6 Nov 2025
- 2025Evolving Graph Learning for Out-of-Distribution Generalization in Non-stationary Environments4 Nov 2025
- 2025Linear Causal Representation Learning by Topological Ordering, Pruning, and Disentanglement26 Sep 2025
- 2025A Conditional Distribution Equality Testing Framework using Deep Generative Learning22 Sep 2025
- 2025Evaluating and Learning Robust Bandit Policies Under Uncertain Causal Mechanisms4 Aug 2025
- 2025Domain Generalization and Adaptation in Intensive Care with Anchor Regression29 Jul 2025
- 2025Bayesian Invariance Modeling of Multi-Environment Data27 Jun 2025
- 2025Causal Effect Identification in Heterogeneous Environments from Higher-Order Moments13 Jun 2025
- 2025Bayesian Hierarchical Invariant Prediction16 May 2025
- 2025Heterogeneous Data Game: Characterizing the Model Competition Across Multiple Data Sources12 May 2025
- 2025Towards Interpretable Deep Generative Models via Causal Representation Learning15 Apr 2025
- 2025LLM Social Simulations Are a Promising Research Method3 Apr 2025
- 2025ExMAG: Learning of Maximally Ancestral Graphs11 Mar 2025
- 2025Feature Matching Intervention: Leveraging Observational Data for Causal Representation Learning5 Mar 2025
- 2025Distributional Instrumental Variable Method11 Feb 2025
- 2025Achievable distributional robustness when the robust risk is only partially identified4 Feb 2025
- 2025What is causal about causal models and representations?31 Jan 2025
- 2025Enhancing Distribution and Label Consistency for Graph Out-of-Distribution Generalization7 Jan 2025
- 2024Progression: an extrapolation principle for regression30 Oct 2024
- 2024Automatically Interpreting Millions of Features in Large Language Models17 Oct 2024
- 2024Enhancing Fairness through Reweighting: A Path to Attain the Sufficiency Rule26 Aug 2024
- 2024LCA-on-the-Line: Benchmarking Out-of-Distribution Generalization with Class Taxonomies22 Jul 2024
- 2024Unbiased Faster R-CNN for Single-source Domain Generalized Object Detection24 May 2024
- 2024IMO: Greedy Layer-Wise Sparse Representation Learning for Out-of-Distribution Text Classification with Pre-trained Models21 Apr 2024
- 2024Cross-Platform Hate Speech Detection with Weakly Supervised Causal Disentanglement17 Apr 2024
- 2024FAIRM: Learning invariant representations for algorithmic fairness and domain generalization with minimax optimality2 Apr 2024
- 2023When Graph Neural Network Meets Causality: Opportunities, Methodologies and An Outlook19 Dec 2023
- 2023Invariance & Causal Representation Learning: Prospects and Limitations6 Dec 2023
- 2023Eliciting Latent Knowledge from Quirky Language Models2 Dec 2023
- 2023Environment-Aware Dynamic Graph Learning for Out-of-Distribution Generalization18 Nov 2023
- 2023Anchor Data Augmentation12 Nov 2023
- 2023Responsible AI (RAI) Games and Ensembles28 Oct 2023
- 2023Domain Generalisation via Risk Distribution Matching28 Oct 2023
- 2023Causal Feature Selection via Transfer Entropy17 Oct 2023
- 2023Tightening Bounds on Probabilities of Causation By Merging Datasets12 Oct 2023
- 2023Boosted Control Functions: Distribution generalization and invariance in confounded models9 Oct 2023
50 newest of 123 All 123 (JSON)
- 2026Causally-Guided Diffusion for Stable Feature Selectioncited by 1
- 2026Causally-Guided Diffusion for Stable Feature Selection21 Mar 2026
- 2021Towards Out-Of-Distribution Generalization: A Surveycited by 431
- 2022Discovering Invariant Rationales for Graph Neural Networkscited by 186
- 2023Understanding plasticity in neural networkscited by 170
- 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 163
- 2024Automatically Interpreting Millions of Features in Large Language Modelscited by 106
- 2025LLM Social Simulations Are a Promising Research Methodcited by 97
- 2023Discover and Cure: Concept-aware Mitigation of Spurious Correlationcited by 71
- 2021On the Adversarial Robustness of Causal Algorithmic Recoursecited by 56
- 2023Eliciting Latent Knowledge from Quirky Language Modelscited by 56
- 2022Out-of-distribution Generalization with Causal Invariant Transformationscited by 45
- 2021Towards Robust and Adaptive Motion Forecasting: A Causal Representation Perspectivecited by 40
- 2021CausalAdv: Adversarial Robustness through the Lens of Causalitycited by 37
12 most cited of 118 All 118 (JSON)
- 2026CVaR anchor regression protects against rare shifts22 Sep 2026
- 2026Unveiling Invariant and Transferable Latent Factors Across Heterogeneous Environments via ATLAS20 Jul 2026
- 2026How Useful is Causal Invariance for Domain Adaptation in Finite-Sample Settings?10 Jun 2026
- 2026Prediction-Intervention Games and Invariant Sets16 May 2026
- 2026Differentiable latent structure discovery for interpretable forecasting in clinical time series30 Apr 2026
- 2026Age Predictors Through the Lens of Generalization, Bias Mitigation, and Interpretability: Reflections on Causal Implications17 Mar 2026
- 2026Anti-causal domain generalization: Leveraging unlabeled data19 Feb 2026
- 2026WED-Net: A Weather-Effect Disentanglement Network with Causal Augmentation for Urban Flow Prediction30 Jan 2026
- 2026Distribution Shift Is Key to Learning Invariant Prediction18 Jan 2026
- 2026Explainable AI: Learning from the Learners9 Jan 2026
- 2026Environment-Adaptive Covariate Selection: Learning When to Use Spurious Correlations for Out-of-Distribution Prediction5 Jan 2026
- 2026Personalizing black-box models for nonparametric regression with minimax optimality4 Jan 2026
12 newest of 118 All 118 (JSON)