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Forecasting Oncology Demand Trends with Boosting-Based Bayesian Conjugate Models

Machine Learning 2026-05-08 v1 Machine Learning Applications

Abstract

Accurate trend forecasting in healthcare time series is essential for planning and resource allocation. This paper proposes a Bayesian framework for predicting oncology demand trends, modeling weekly appointments as a Poisson process with a Gamma prior to the demand rate. To enhance adaptability and capture persistent directional patterns, we incorporate a residual-based boosting mechanism grounded in a Gamma-Log-Normal conjugate structure. This boosting approach allows the model to track both short- and long-term trend shifts while maintaining the analytical tractability of conjugate Bayesian updating. The methodology was evaluated on real oncology service data from Cariri, Ceara, Brazil, and compared against established baselines, including linear regression, ARIMA, naive forecasting, LSTM neural networks, and XGBoost. Results showed that the proposed model outperforms competing methods in trend detection accuracy, with gains in terms of percentage of correct direction of 38.25% in relation to the second best approach in some cases.

Keywords

Cite

@article{arxiv.2605.05270,
  title  = {Forecasting Oncology Demand Trends with Boosting-Based Bayesian Conjugate Models},
  author = {Ademir Batista dos Santos Neto and Tiago Alessandro Espinola Ferreira and Paulo Renato Alves Firmino},
  journal= {arXiv preprint arXiv:2605.05270},
  year   = {2026}
}

Comments

18 pages, 3 figures

R2 v1 2026-07-01T12:53:24.964Z