mlsanityData to 7 Oct 2026

Generalized Invariant Matching Property via LASSO

arXiv 2301.05975 ↗First posted 14 Jan 2023stat.ME cs.LGcited by 2

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Abstract (arXiv)

Learning under distribution shifts is a challenging task. One principled approach is to exploit the invariance principle via the structural causal models. However, the invariance principle is violated when the response is intervened, making it a difficult setting. In a recent work, the invariant matching property has been developed to shed light on this scenario and shows promising performance. In this work, by formulating a high-dimensional problem with intrinsic sparsity, we generalize the invariant matching property for an important setting when only the target is intervened. We propose a more robust and computation-efficient algorithm by leveraging a variant of Lasso, improving upon the existing algorithms.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 13 of its 24 references that are in the map. First posted on arXiv 14 Jan 2023.

Builds on

13 of 24 references.

References · 13

  1. 2019Invariant Risk Minimizationcited by 1,832
  2. 2015Causal inference using invariant prediction: identification and confidence intervalscited by 533
  3. 2017Invariant Causal Prediction for Nonlinear Modelscited by 140
  4. 2017Domain Adaptation for Visual Applications: A Comprehensive Surveycited by 127
  5. 2017Domain Adaptation by Using Causal Inference to Predict Invariant Conditional Distributionscited by 125
  6. 2018Invariance, Causality and Robustnesscited by 123
  7. 2018Anchor regression: heterogeneous data meets causalitycited by 116
  8. 2020A causal framework for distribution generalizationcited by 68
  9. 2017Invariant Causal Prediction for Sequential Datacited by 63
  10. 2019Stabilizing Variable Selection and Regressioncited by 31
  11. 2020Causal Inference from Slowly Varying Nonstationary Processescited by 5
  12. 2022Learning Invariant Representations under General Interventions on the Responsecited by 4
1 more
  1. 2022An Invariant Matching Property for Distribution Generalization under Intervened Responsecited by 3

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2 papers.