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Research map / Probabilistic and scientific modeling / Causal discovery

Causal representation identifiability

Prove when causal variables can be recovered from observations under interventions or weak supervision.

122 accepted papers at ICML, NeurIPS, ICLR, CVPR and AAAI (2017–2026) · an approach in Causal discovery, keyword cluster “counterfactual · causal inference · causal representation”

State History Tried Baselines Checklist Preprints Who Export

Where it stands

Not enough benchmark data Fewer than four papers report the same benchmark, so there is no record to follow.

40 papers in 2023–24 and 52 in 2025–26 (at ICML, NeurIPS, ICLR, CVPR and AAAI); its share of the topic held steady, from 17.2% to 15.6%.

How this is decided

A benchmark is tracked when at least four papers of this approach report their own method on the same dataset and metric in at least two different years. Its record is the best number reported up to 2024 compared with the best reported in 2025–26: still improving means at least 1% better, flat means at most 0.2% better with at least two papers from 2025–26 trying. Numbers on a different scale from the rest (a fraction among percentages) and far outliers are left out. Results come from different papers with different setups, so they are signals, not head-to-head comparisons. The share of papers is counted at ICML, NeurIPS, ICLR, CVPR and AAAI.

How it got here

2016: 0162017: 1172018: 1182019: 4192020: 5202021: 6212022: 13222023: 13232024: 27242025: 26252026: 2626

Most cited paper of each year

Earliest papers here

What has been tried

86 papers here report 676 measured changes (a component added, removed or swapped, compared with a baseline): helped 65%, no clear effect 8%, hurt 23%, mixed 4%. Papers mostly publish changes that helped, so "helped" is over-represented.

Ablations in recent papers

What was changedMeasured onResultEffectPaper
remove inductive bias during causal-effect learning using counterfactual interventionAge, Smile, Pend, Flow · MIC0.615 -> 0.626; 0.851 -> 0.873; 0.785 -> 0.997; 0.973 -> 0.992HelpedCausal Representation Learning via Counterfactual Intervention (AAAI 2024 · 7 citations)
Introduce a hidden variable that drives observed featuresSynthetic risk prediction · precision0.89 -> 0.72\downarrowHurtTask-Driven Causal Feature Distillation: Towards Trustworthy Risk Prediction (AAAI 2024 · 6 citations)
use diffusion-based context-to-label representation transformationESL intra + inter-sentence · F157.7 -> 63.5HelpedMastering Context-to-Label Representation Transformation for Event Causality Identification with Diffusion Models (AAAI 2024 · 5 citations)
Set the threshold tl to 0.15Random causal models, d=5, K=5 · SNA error and graph recovery accuracyHelpedLearning Linear Causal Representations from General Environments: Identifiability and Intrinsic Ambiguity (NeurIPS 2024 · 3 citations)
add random edge flipping to sequential-chain training data (TS1/TS2 instead of OCC)Transitivity, reversed chains · accuracyOCC w NoPE: 0.41, 0.24, 0.18, 0.13; OCC w RoPE: 0.59, 0.26, 0.22, 0.20HelpedTeaching Transformers Causal Reasoning through Axiomatic Training (ICML 2025 · 2 citations)
Use an interventional query with a zeroed input error instead of a conditional queryMNIST and FashionMNIST · test accuracyalmost 2%HelpedPredictive Coding beyond Correlations (ICML 2024 · 2 citations)
Reduce the number of informative scenes from Four-Scenes to One-SceneStatic image generation · MCC0.3264 -> 0.3197HurtCausalVerse: Benchmarking Causal Representation Learning with Configurable High-Fidelity Simulations (NeurIPS 2025 · 1 citation)
Increase the sparsity ratio of inter-modal causal linksNumerical dataset, Case 2 · MCCHelpedCausal Representation Learning from Multimodal Biomedical Observations (ICLR 2025 · 1 citation)
Keep a causal coefficient unchanged across environmentsSynthetic linear models with Beta noise · MPCHurtIdentifiable Latent Polynomial Causal Models through the Lens of Change (ICLR 2024 · 1 citation)
use modular training instead of training all mechanisms jointlyColored-MNIST frontdoor, P(A|do(D=0)) · TVD0.36 -> 0.13HelpedModular Learning of Deep Causal Generative Models for High-dimensional Causal Inference (ICML 2024 · 1 citation)
Add sparsity constraints to TeSLA-sCIFAR10-C · error rate12.1 -> 11.7HelpedTowards Understanding Extrapolation: a Causal Lens (NeurIPS 2024 · 1 citation)
Use the element-wise absolute-difference formulation of the shift statistic L_i instead of the original row-vector comparisonSynthetic shift detection · shift detection performanceHelpedIdentifying General Mechanism Shifts in Linear Causal Representations (NeurIPS 2024 · 1 citation)

Baseline numbers that disagree

The same baseline on the same benchmark and metric, reported more than 5% apart by different papers here. Training budgets, data splits and reimplementations differ, so state which number you compare with.

BaselineBenchmarkMetricReportedPapers
β-TCVAEdSpritesIRS0.72 – 0.782 papers, e.g. ICML 2019 and AAAI 2022

What reviewers will expect

Datasets and baselines named in the 34 papers of this approach from 2025–2026 that have a full-text summary. Leaving out the common ones is a frequent review question.

Datasets

  • CelebA · 4 of 34 papers
  • IOI · 2 of 34 papers
  • RAVEL · 2 of 34 papers
  • cMNIST · 2 of 34 papers
  • ISTAnt · 2 of 34 papers

Baselines

  • beta-VAE · 2 of 34 papers
  • TDRL · 2 of 34 papers
  • iVAE · 2 of 34 papers
  • TCL · 2 of 34 papers
  • CaRiNG · 2 of 34 papers
  • IDOL · 2 of 34 papers
  • CBM · 2 of 34 papers
  • CEM · 2 of 34 papers

Recent preprints

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    Who publishes on it

    Institutions on the most papers of this approach since 2023 (of 92 papers; from OpenAlex and the papers' affiliations).

    Use it

    Download BibTeX of 40 key papersOpen the topic in the interactive map

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    Same keyword cluster

    Elsewhere in the topic

    Benchmark numbers, ablations and baseline numbers are extracted by AI from each paper's full text and can be wrong; the paper is the authority. Data: results index of 2026-11-02, citation counts from OpenAlex (2026-10-09).

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