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Hierarchical forecasting problems arise when time series have a natural group structure, and predictions at multiple levels of aggregation and disaggregation across the groups are needed. In such problems, it is often desired to satisfy the…

Machine Learning · Computer Science 2023-04-12 Kin G. Olivares , O. Nganba Meetei , Ruijun Ma , Rohan Reddy , Mengfei Cao , Lee Dicker

Hierarchical time series forecasting presents unique challenges, particularly when dealing with noisy data that may not perfectly adhere to aggregation constraints. This paper introduces a novel approach to soft coherency in hierarchical…

Machine Learning · Computer Science 2025-02-25 Rares Cristian , Pavithra Harhsa , Georgia Perakis , Brian Quanz

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

Time series forecasts are widely used to inform decisions. Human decision-makers interpret these forecasts, incorporate prior experience and uncertainty about future outcomes, and then make a decision. In this paper, we propose a new…

Machine Learning · Statistics 2026-05-01 Daniel Andrew Coulson , Martin T. Wells

Forecast reconciliation has become a prominent topic in recent forecasting literature, with a primary distinction made between cross-sectional and temporal hierarchies. This work focuses on temporal hierarchies, such as aggregating monthly…

Methodology · Statistics 2024-09-27 Lukas Neubauer , Peter Filzmoser

This paper addresses a common problem with hierarchical time series. Time series analysis demands the series for a model to be the sum of multiple series at corresponding sub-levels. Hierarchical Time Series presents a two-fold problem.…

Applications · Statistics 2022-12-27 Seema Sangari , Xinyan Zhang

Methods for forecasting time series adhering to linear constraints have seen notable development in recent years, especially with the advent of forecast reconciliation. This paper extends forecast reconciliation to the open question of…

Methodology · Statistics 2025-10-27 Daniele Girolimetto , Anastasios Panagiotelis , Tommaso Di Fonzo , Han Li

Many sectors nowadays require accurate and coherent predictions across their organization to effectively operate. Otherwise, decision-makers would be planning using disparate views of the future, resulting in inconsistent decisions across…

Machine Learning · Computer Science 2023-02-09 Julien Leprince , Waqas Khan , Henrik Madsen , Jan Kloppenborg Møller , Wim Zeiler

Hierarchical time-series forecasting is essential for demand prediction across various industries. While machine learning models have obtained significant accuracy and scalability on such forecasting tasks, the interpretability of their…

Machine Learning · Computer Science 2026-03-09 Harshavardhan Kamarthi , Shangqing Xu , Xinjie Tong , Xingyu Zhou , James Peters , Joseph Czyzyk , B. Aditya Prakash

Deep learning has significantly advanced time series forecasting through its powerful capacity to capture sequence relationships. However, training these models with the Mean Square Error (MSE) loss often results in over-smooth predictions,…

Machine Learning · Computer Science 2024-12-25 Yanru Sun , Zongxia Xie , Dongyue Chen , Emadeldeen Eldele , Qinghua Hu

We introduce a dynamic approach to probabilistic forecast reconciliation at scale. Our model differs from the existing literature in this area in several important ways. Firstly we explicitly allow the weights allocated to the base…

Methodology · Statistics 2024-09-20 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Forecast reconciliation is a post-forecasting process aimed to improve the quality of the base forecasts for a system of hierarchical/grouped time series (Hyndman et al., 2011). Contemporaneous (cross-sectional) and temporal hierarchies…

Methodology · Statistics 2023-10-30 Tommaso Di Fonzo , Daniele Girolimetto

Among recent developments in time series forecasting methods, deep forecasting models have gained popularity as they can utilize hidden feature patterns in time series to improve forecasting performance. Nevertheless, the majority of…

Machine Learning · Computer Science 2023-10-13 Zhendong Wang , Ioanna Miliou , Isak Samsten , Panagiotis Papapetrou

Deep probabilistic time series forecasting has gained attention for its ability to provide nonlinear approximation and valuable uncertainty quantification for decision-making. However, existing models often oversimplify the problem by…

Machine Learning · Statistics 2024-10-22 Vincent Zhihao Zheng , Seongjin Choi , Lijun Sun

Time series forecasting presents unique challenges that limit the effectiveness of traditional machine learning algorithms. To address these limitations, various approaches have incorporated linear constraints into learning algorithms, such…

Machine Learning · Statistics 2025-02-18 Nathan Doumèche , Francis Bach , Éloi Bedek , Gérard Biau , Claire Boyer , Yannig Goude

Forecast reconciliation is the post-forecasting process aimed to revise a set of incoherent base forecasts into coherent forecasts in line with given data structures. Most of the point and probabilistic regression-based forecast…

Methodology · Statistics 2023-12-25 Daniele Girolimetto , Tommaso Di Fonzo

In recent works by Yang et al. (2017a,b), and Yagli et al. (2019), geographical, temporal, and sequential deterministic reconciliation of hierarchical photovoltaic (PV) power generation have been considered for a simulated PV dataset in…

Applications · Statistics 2022-09-16 Tommaso Di Fonzo , Daniele Girolimetto

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

Running high-resolution physical models is computationally expensive and essential for many disciplines. Agriculture, transportation, and energy are sectors that depend on high-resolution weather models, which typically consume many hours…

Machine Learning · Computer Science 2018-08-17 Eduardo R. Rodrigues , Igor Oliveira , Renato L. F. Cunha , Marco A. S. Netto

Cyber-physical systems often consist of entities that interact with each other over time. Meanwhile, as part of the continued digitization of industrial processes, various sensor technologies are deployed that enable us to record…

Machine Learning · Computer Science 2018-09-03 Razvan-Gabriel Cirstea , Darius-Valer Micu , Gabriel-Marcel Muresan , Chenjuan Guo , Bin Yang