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We present a novel approach for reconciling hierarchical forecasts, based on Bayes rule. We define a prior distribution for the bottom time series of the hierarchy, based on the bottom base forecasts. Then we update their distribution via…

Applications · Statistics 2021-06-07 Giorgio Corani , Dario Azzimonti , João P. S. C. Augusto , Marco Zaffalon

Stacking is a widely used model averaging technique that asymptotically yields optimal predictions among linear averages. We show that stacking is most effective when model predictive performance is heterogeneous in inputs, and we can…

Methodology · Statistics 2021-10-29 Yuling Yao , Gregor Pirš , Aki Vehtari , Andrew Gelman

Linearly constrained multiple time series may be encountered in many practical contexts, such as the National Accounts (e.g., GDP disaggregated by Income, Expenditure and Output), and multilevel frameworks where the variables are organized…

Methodology · Statistics 2024-12-05 Daniele Girolimetto , Tommaso Di Fonzo

Hierarchical models allow for heterogeneous behaviours in a population while simultaneously borrowing estimation strength across all subpopulations. Unfortunately, existing likelihood-based methods for fitting hierarchical models have high…

Methodology · Statistics 2015-12-16 Patrick O. Perry

Hierarchical classification offers an approach to incorporate the concept of mistake severity by leveraging a structured, labeled hierarchy. However, decoding in such settings frequently relies on heuristic decision rules, which may not…

Machine Learning · Computer Science 2025-06-03 Roman Plaud , Alexandre Perez-Lebel , Matthieu Labeau , Antoine Saillenfest , Thomas Bonald

The features in many prediction models naturally take the form of a hierarchy. The lower levels represent individuals or events. These units group naturally into locations and intervals or other aggregates, often at multiple levels. Levels…

Applications · Statistics 2023-07-03 John Mark Agosta , Mario Inchiosa

Observing a stationary time series, we propose a two-step procedure for the prediction of the next value of the time series. The first step follows machine learning theory paradigm and consists in determining a set of possible predictors as…

Methodology · Statistics 2012-07-04 Pierre Alquier , Olivier Wintenberger

Time series of counts arise in a variety of forecasting applications, for which traditional models are generally inappropriate. This paper introduces a hierarchical Bayesian formulation applicable to count time series that can easily…

Machine Learning · Statistics 2014-05-16 Nicolas Chapados

In this paper, a novel method to perform model-based clustering of time series is proposed. The procedure relies on two iterative steps: (i) K global forecasting models are fitted via pooling by considering the series pertaining to each…

Machine Learning · Statistics 2023-05-02 Ángel López Oriona , Pablo Montero Manso , José Antonio Vilar Fernández

In economics and many other forecasting domains, the real world problems are too complex for a single model that assumes a specific data generation process. The forecasting performance of different methods changes depending on the nature of…

Machine Learning · Computer Science 2023-09-26 Li Li , Feng Li , Yanfei Kang

Deploying deep neural networks for risk-sensitive tasks necessitates an uncertainty estimation mechanism. This paper introduces hierarchical selective classification, extending selective classification to a hierarchical setting. Our…

Machine Learning · Computer Science 2025-01-07 Shani Goren , Ido Galil , Ran El-Yaniv

Motion generation in cluttered, dense, and dynamic environments is a central topic in robotics, rendered as a multi-objective decision-making problem. Current approaches trade-off between safety and performance. On the one hand, reactive…

Robotics · Computer Science 2024-07-30 Kay Hansel , Julen Urain , Jan Peters , Georgia Chalvatzaki

Forecasting is critical in areas such as finance, biology, and healthcare. Despite the progress in the field, making accurate forecasts remains challenging because real-world time series contain both global trends, local fine-grained…

Machine Learning · Computer Science 2026-01-01 Zihao Chen , Alexandre Andre , Wenrui Ma , Ian Knight , Sergey Shuvaev , Eva Dyer

Demand forecasting in competitive, uncertain business environments requires models that can integrate multiple evaluation perspectives rather than being restricted to hyperparameter optimization based on a single metric. This traditional…

Machine Learning · Computer Science 2025-12-23 Adolfo González , Víctor Parada

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

Regression tasks in computer vision, such as age estimation or counting, are often formulated into classification by quantizing the target space into classes. Yet real-world data is often imbalanced -- the majority of training samples lie…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Haipeng Xiong , Angela Yao

Time series classification stands as a pivotal and intricate challenge across various domains, including finance, healthcare, and industrial systems. In contemporary research, there has been a notable upsurge in exploring feature extraction…

Machine Learning · Computer Science 2024-07-24 Alireza Keshavarzian , Shahrokh Valaee

Sequence models in reinforcement learning require task knowledge to estimate the task policy. This paper presents a hierarchical algorithm for learning a sequence model from demonstrations. The high-level mechanism guides the low-level…

Machine Learning · Computer Science 2022-09-22 André Correia , Luís A. Alexandre

Forecasting a time series from multivariate predictors constitutes a challenging problem, especially using model-free approaches. Most techniques, such as nearest-neighbor prediction, quickly suffer from the curse of dimensionality and…

Machine Learning · Statistics 2015-06-22 Jakob Runge , Reik V. Donner , Jürgen Kurths

We present a case study and methodological developments in large-scale hierarchical dynamic modeling for personalized prediction in commerce. The context is supermarket sales, where improved forecasting of customer/household-specific…

Methodology · Statistics 2021-01-12 Anna K. Yanchenko , Di Daniel Deng , Jinglan Li , Andrew J. Cron , Mike West