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Related papers: Hierarchical Forecasting at Scale

200 papers

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

Information Theory · Computer Science 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Platform businesses operate on a digital core and their decision making requires high-dimensional accurate forecast streams at different levels of cross-sectional (e.g., geographical regions) and temporal aggregation (e.g., minutes to…

Econometrics · Economics 2024-06-03 Jeroen Rombouts , Marie Ternes , Ines Wilms

Time series forecasting holds significant value in various domains such as economics, traffic, energy, and AIOps, as accurate predictions facilitate informed decision-making. However, the existing Mean Squared Error (MSE) loss function…

Machine Learning · Computer Science 2025-10-29 Xiangfei Qiu , Xingjian Wu , Hanyin Cheng , Xvyuan Liu , Chenjuan Guo , Jilin Hu , Bin Yang

Hierarchical forecasting (HF) is needed in many situations in the supply chain (SC) because managers often need different levels of forecasts at different levels of SC to make a decision. Top-Down (TD), Bottom-Up (BU) and Optimal…

Machine Learning · Computer Science 2019-12-03 Mahdi Abolghasemi , Rob J Hyndman , Garth Tarr , Christoph Bergmeir

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

Multivariate time series forecasting with hierarchical structure is pervasive in real-world applications, demanding not only predicting each level of the hierarchy, but also reconciling all forecasts to ensure coherency, i.e., the forecasts…

Machine Learning · Computer Science 2025-03-04 Shiyu Wang , Fan Zhou , Yinbo Sun , Lintao Ma , James Zhang , Yangfei Zheng

At present, most surface-quality prediction methods can only perform single-task prediction which results in under-utilised datasets, repetitive work and increased experimental costs. To counter this, the authors propose a Bayesian…

The recent M5 competition has advanced the state-of-the-art in retail forecasting. However, we notice important differences between the competition challenge and the challenges we face in a large e-commerce company. The datasets in our…

The sparse grid combination technique provides a framework to solve high dimensional numerical problems with standard solvers. Hierarchization is preprocessing step facilitating the communication needed for the combination technique. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-03 Philipp Hupp

Renewable energy forecasting is the workhorse for efficient energy dispatch. However, forecasts with small mean squared errors (MSE) may not necessarily lead to low operation costs. Here, we propose a forecasting approach specifically…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Yufan Zhang , Honglin Wen , Yuexin Bian , Yuanyuan Shi

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

In e-commerce system, category prediction is to automatically predict categories of given texts. Different from traditional classification where there are no relations between classes, category prediction is reckoned as a standard…

Information Retrieval · Computer Science 2020-05-15 Dehong Gao , Wenjing Yang , Huiling Zhou , Yi Wei , Yi Hu , Hao Wang

Diffusion-based generative methods have proven effective in modeling trajectories with offline datasets. However, they often face computational challenges and can falter in generalization, especially in capturing temporal abstractions for…

Machine Learning · Computer Science 2024-01-08 Chang Chen , Fei Deng , Kenji Kawaguchi , Caglar Gulcehre , Sungjin Ahn

Hierarchical forecasting with reconciliation requires forecasting values of a hierarchy (e.g.~customer demand in a state and district), such that forecast values are linked (e.g.~ district forecasts should add up to the state forecast).…

Machine Learning · Computer Science 2025-05-09 Charupriya Sharma , Iñaki Estella Aguerri , Daniel Guimarans

Accurate load prediction is an effective way to reduce power system operation costs. Traditionally, the mean square error (MSE) is a common-used loss function to guide the training of an accurate load forecasting model. However, the MSE…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Jialun Zhang , Yi Wang , Gabriela Hug

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

Applications · Statistics 2015-07-02 Yong Huang , James L. Beck

We introduce a Loss Discounting Framework for model and forecast combination which generalises and combines Bayesian model synthesis and generalized Bayes methodologies. We use a loss function to score the performance of different models…

Methodology · Statistics 2024-03-29 Dawid Bernaciak , Jim E. Griffin

Software is highly contextual. While there are cross-cutting `global' lessons, individual software projects exhibit many `local' properties. This data heterogeneity makes drawing local conclusions from global data dangerous. A key research…

Software Engineering · Computer Science 2018-04-10 Neil A. Ernst

We propose a dynamical mechanism for a scale dependent error growth rate, by the introduction of a class of hierarchical models. The coupling of time scales and length scales is motivated by atmospheric dynamics. This model class can be…

Atmospheric and Oceanic Physics · Physics 2019-04-19 Jonathan Brisch , Holger Kantz

Time series forecasting occurs in a range of financial applications providing essential decision-making support to investors, regulatory institutions, and analysts. Unlike multivariate time series from other domains, stock time series…