Ultra-marginal Feature Importance: Learning from Data with Causal Guarantees
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Abstract (arXiv)
Scientists frequently prioritize learning from data rather than training the best possible model; however, research in machine learning often prioritizes the latter. Marginal contribution feature importance (MCI) was developed to break this trend by providing a useful framework for quantifying the relationships in data. In this work, we aim to improve upon the theoretical properties, performance, and runtime of MCI by introducing ultra-marginal feature importance (UMFI), which uses dependence removal techniques from the AI fairness literature as its foundation. We first propose axioms for feature importance methods that seek to explain the causal and associative relationships in data, and we prove that UMFI satisfies these axioms under basic assumptions. We then show on real and simulated data that UMFI performs better than MCI, especially in the presence of correlated interactions and unrelated features, while partially learning the structure of the causal graph and reducing the exponential runtime of MCI to super-linear.
Key facts. Cited by 6 papers in the map (data through 13 Oct 2026). Builds on 34 of its 138 references that are in the map. First posted on arXiv 21 Apr 2022.
Builds on
34 of 138 references.
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22 more
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Citing papers per year: 2024: 4; 2025: 1; 2026: 1.
6 papers.
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- 2024Partial Information Decomposition for Data Interpretability and Feature Selectioncited by 3
- 2024Feature Selection for Network Intrusion Detectioncited by 3
- 2025Stability Selection via Variable Decorrelationcited by 1
- 2026Aggregate Models, Not Explanations: Improving Feature Importance Estimationcited by 1
- 2024Tackling water table depth modeling via machine learning: From proxy observations to verifiabilitycited by 0
- 2026Aggregate Models, Not Explanations: Improving Feature Importance Estimation12 Feb 2026
- 2025Stability Selection via Variable Decorrelation27 May 2025
- 2024Feature Selection for Network Intrusion Detection18 Nov 2024
- 2024Partial Information Decomposition for Data Interpretability and Feature Selection29 May 2024
- 2024Tackling water table depth modeling via machine learning: From proxy observations to verifiability30 Apr 2024
- 2024TERC: A Transfer Entropy Redundancy Criterion for State Variable Selection in Reinforcement Learning21 Jan 2024