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Autorelevance function and other feature relevance measures for univariate time series

arXiv 2607.01959 ↗First posted 2 Jul 2026stat.ML cs.LG stat.MEcited by 0

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Abstract (arXiv)

We propose a model agnostic methodology to measure lag relevance in machine learning forecasting models applied to univariate time series. Particularly, we are working in the context of time series using the frameworks of Ghost variables and Shapley values, together with additive importance measures, to introduce the auto-relevance and partial auto-relevance functions as the lag importance values. Additionally, we propose a novel method to replace absent features in coalition based methods with a one step forecast from the same model. We evaluate these proposals under different simulations and real data cases. This combined framework perspective is particularly suitable for time series. In addition, to show our discoveries we use a pull of models from the seasonal ARMA family and recurrent neural networks. We found that the calculated relevance measures successfully demonstrate the expected lag structure in almost all cases.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 9 of its 16 references that are in the map. First posted on arXiv 2 Jul 2026.

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References · 9

  1. 2017A Unified Approach to Interpreting Model Predictionscited by 6,488
  2. 2016Distribution-Free Predictive Inference For Regressioncited by 657
  3. 2019Feature relevance quantification in explainable AI: A causal problemcited by 164
  4. 2020TimeSHAP: Explaining Recurrent Models through Sequence Perturbationscited by 73
  5. 2020Efficient nonparametric statistical inference on population feature importance using Shapley valuescited by 61
  6. 2022WindowSHAP: An Efficient Framework for Explaining Time-series Classifiers based on Shapley Valuescited by 24
  7. 2019Understanding complex predictive models with Ghost Variablescited by 5
  8. 2022Feature Importance for Time Series Data: Improving KernelSHAPcited by 5
  9. 2023TsSHAP: Robust model agnostic feature-based explainability for time series forecastingcited by 5

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