PASM: Population Adaptive Symbolic Mixture-of-Experts Model for Cross-location Hurricane Evacuation Decision Prediction

arXiv cs.LG / 4/2/2026

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Key Points

  • The paper argues that cross-location hurricane evacuation prediction errors persist even when controlling for feature distribution shift, because households with similar characteristics make systematically different decisions across states.
  • It introduces PASM, a Population-Adaptive Symbolic Mixture-of-Experts model that uses large-language-model-guided symbolic regression plus a mixture-of-experts framework to learn human-readable closed-form evacuation decision rules.
  • PASM routes each input to specialized “experts” corresponding to data-driven subpopulations, improving generalization across regions by avoiding overfitting to dominant response patterns.
  • On Hurricanes Harvey and Irma, transferring from Florida and Texas to Georgia using only 100 calibration samples yields a Matthews correlation coefficient of 0.607, outperforming XGBoost, TabPFN, GPT-5-mini, and meta-learning baselines.
  • A fairness audit across four demographic axes finds no statistically significant disparities after Bonferroni correction, and the learned formula archetypes are positioned as interpretable for emergency planning.

Abstract

Accurate prediction of evacuation behavior is critical for disaster preparedness, yet models trained in one region often fail elsewhere. Using a multi-state hurricane evacuation survey, we show this failure goes beyond feature distribution shift: households with similar characteristics follow systematically different decision patterns across states. As a result, single global models overfit dominant responses, misrepresent vulnerable subpopulations, and generalize poorly across locations. We propose Population-Adaptive Symbolic Mixture-of-Experts (PASM), which pairs large language model guided symbolic regression with a mixture-of-experts architecture. PASM discovers human-readable closed-form decision rules, specializes them to data-driven subpopulations, and routes each input to the appropriate expert at inference time. On Hurricanes Harvey and Irma data, transferring from Florida and Texas to Georgia with 100 calibration samples, PASM achieves a Matthews correlation coefficient of 0.607, compared to XGBoost (0.404), TabPFN (0.333), GPT-5-mini (0.434), and meta-learning baselines MAML and Prototypical Networks (MCC \leq 0.346). The routing mechanism assigns distinct formula archetypes to subpopulations, so the resulting behavioral profiles are directly interpretable. A fairness audit across four demographic axes finds no statistically significant disparities after Bonferroni correction. PASM closes more than half the cross-location generalization gap while keeping decision rules transparent enough for real-world emergency planning.

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