mlsanityData to 7 Oct 2026

Detecting non-causal artifacts in multivariate linear regression models

arXiv 1803.00810 ↗First posted 2 Mar 2018stat.ML cs.LGcited by 16

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Abstract (arXiv)

We consider linear models where d potential causes X1,...,Xd are correlated with one target quantity Y and propose a method to infer whether the association is causal or whether it is an artifact caused by overfitting or hidden common causes. We employ the idea that in the former case the vector of regression coefficients has 'generic' orientation relative to the covariance matrix SigmaXX of X. Using an ICA based model for confounding, we show that both confounding and overfitting yield regression vectors that concentrate mainly in the space of low eigenvalues of SigmaXX.

Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Mar 2018.

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Citing papers per year: 2021: 2; 2022: 7; 2023: 3; 2024: 2; 2025: 1; 2026: 1.

16 papers.

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  1. 2021Towards Causal Representation Learningcited by 207
  2. 2023Causal Parrots: Large Language Models May Talk Causality But Are Not Causalcited by 146
  3. 2022From Statistical to Causal Learningcited by 40
  4. 2022Can Foundation Models Talk Causality?cited by 30
  5. 2022Optimal transport for causal discoverycited by 19
  6. 2021Deconfounded Score Method: Scoring DAGs with Dense Unobserved Confoundingcited by 9
  7. 2023Effective Causal Discovery under Identifiable Heteroscedastic Noise Modelcited by 8
  8. 2023Sequential Underspecified Instrument Selection for Cause-Effect Estimationcited by 4
  9. 2024Explainable AI needs formalizationcited by 4
  10. 2022Pearl Causal Hierarchy on Image Data: Intricacies & Challengescited by 3
  11. 2022Correcting Confounding via Random Selection of Background Variablescited by 2
  12. 2022Interpolation and Regularization for Causal Learningcited by 2
4 more
  1. 2025An Analysis of Causal Effect Estimation using Outcome Invariant Data Augmentationcited by 2
  2. 2022A Consistent Estimator for Confounding Strengthcited by 1
  3. 2024Controlling for discrete unmeasured confounding in nonlinear causal modelscited by 0
  4. 2026Evaluating Bivariate Causal Statements Based on Mutual Compatibilitycited by 0