Hierarchical forecasting with a top-down alignment of independent level forecasts
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Abstract (arXiv)
Hierarchical forecasting with intermittent time series is a challenge in both research and empirical studies. Extensive research focuses on improving the accuracy of each hierarchy, especially the intermittent time series at bottom levels. Then hierarchical reconciliation could be used to improve the overall performance further. In this paper, we present a hierarchical-forecasting-with-alignment approach that treats the bottom level forecasts as mutable to ensure higher forecasting accuracy on the upper levels of the hierarchy. We employ a pure deep learning forecasting approach N-BEATS for continuous time series at the top levels and a widely used tree-based algorithm LightGBM for the intermittent time series at the bottom level. The hierarchical-forecasting-with-alignment approach is a simple yet effective variant of the bottom-up method, accounting for biases that are difficult to observe at the bottom level. It allows suboptimal forecasts at the lower level to retain a higher overall performance. The approach in this empirical study was developed by the first author during the M5 Forecasting Accuracy competition, ranking second place. The method is also business orientated and could benefit for business strategic planning.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 7 of its 27 references that are in the map. First posted on arXiv 15 Mar 2021.
Builds on
7 of 27 references.
References · 7
- 2016XGBoost: A Scalable Tree Boosting Systemcited by 5,166
- 2017DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networkscited by 1,013
- 2019Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecastingcited by 761
- 2019N-BEATS: Neural basis expansion analysis for interpretable time series forecastingcited by 753
- 2019Lookahead Optimizer: k steps forward, 1 step backcited by 336
- 2020Forecast with Forecasts: Diversity Matterscited by 8
- 2020Intermittent Demand Forecasting with Renewal Processescited by 1
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Citing papers per year: 2021: 1; 2022: 0; 2023: 0; 2024: 1; 2025: 1; 2026: 3.
6 papers.
- 2026Zero-shot Forecasting by Simulation Alonecited by 5
- 2021Hierarchical transfer learning with applications for electricity load forecastingcited by 4
- 2025On the retraining frequency of global models in retail demand forecastingcited by 3
- 2026Post-Training in Time Series Foundation Models: A Unifying Frameworkcited by 3
- 2024Cross-Temporal Forecast Reconciliation at Digital Platforms with Machine Learningcited by 2
- 2026Global tree forecasters collapse at the hierarchical aggregate: a five-panel failure characterizationcited by 0
- 2026Global tree forecasters collapse at the hierarchical aggregate: a five-panel failure characterization21 Aug 2026
- 2026Post-Training in Time Series Foundation Models: A Unifying Framework22 Jul 2026
- 2026Zero-shot Forecasting by Simulation Alone2 Jan 2026
- 2025On the retraining frequency of global models in retail demand forecasting1 May 2025
- 2024Cross-Temporal Forecast Reconciliation at Digital Platforms with Machine Learning14 Feb 2024
- 2021Hierarchical transfer learning with applications for electricity load forecasting16 Nov 2021