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Conflict Forecasting via Conformal Prediction for Markov Processes

arXiv 2604.25139 ↗First posted 28 Apr 2026stat.ME stat.AP stat.MLcited by 0

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Abstract (arXiv)

Whether or not a country is at war, or experiencing escalating or deescalating levels of conflict, has massive ramifications on a country's national and foreign policy. Given a country's history of conflict, or lack thereof, future predictions about the war-status of a country are valuable information. In this paper, we present the use of conformal prediction on temporally-dependent data to obtain prediction sets of possible future conflict state-sequences. More specifically, we compare the results of conformal prediction to a likelihood-based prediction strategy when the data are assumed to come from a discrete-state Markov process. A point-prediction may not supply sufficient information because the penalty for a wrong prediction is extreme, and so we consider a machine learning alternative that gives valid uncertainty quantification and is robust to model misspecification. In the data analysis, we present real forecasts of conflict dynamics across multiple countries. Lastly, we comment on the possible limitations of existing approaches for applying conformal prediction to Markovian data, where the exchangeability assumption is violated.

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References · 18

  1. 2021Adaptive Conformal Inference Under Distribution Shiftcited by 375
  2. 2022Adaptive Conformal Predictions for Time Seriescited by 161
  3. 2018Exact and Robust Conformal Inference Methods for Predictive Machine Learning With Dependent Datacited by 66
  4. 2020Conformal prediction for time seriescited by 53
  5. 2017An Exact and Robust Conformal Inference Method for Counterfactual and Synthetic Controlscited by 36
  6. 2020Valid model-free spatial predictioncited by 19
  7. 2021Anomalous Edge Detection in Edge Exchangeable Social Network Modelscited by 17
  8. 2022Extending Conformal Prediction to Hidden Markov Models with Exact Validity via de Finetti's Theorem for Markov Chainscited by 8
  9. 2025ResCP: Reservoir Conformal Prediction for Time Series Forecastingcited by 5
  10. 2025Conformal Inference for Time Series over Graphscited by 5
  11. 2024Safe Merging in Mixed Traffic with Confidencecited by 4
  12. 2024Conformal Predictions under Markovian Datacited by 4
6 more
  1. 2024Adaptive Conformal Inference by Particle Filtering under Hidden Markov Modelscited by 4
  2. 2021Bayesian hidden Markov models for latent variable labeling assignments in conflict research: application to the role ceasefires play in conflict dynamicscited by 3
  3. 2023Uncertainty quantification in automated valuation models with spatially weighted conformal predictioncited by 3
  4. 2024The 2023/24 VIEWS Prediction Challenge: Predicting the Number of Fatalities in Armed Conflict, with Uncertaintycited by 3
  5. 2024Bin-Conditional Conformal Prediction of Fatalities from Armed Conflictcited by 2
  6. 2024Forecasting Densities of Fatalities from State-based Conflicts using Observed Markov Modelscited by 1

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