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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

The random forest (RF) algorithm has become a very popular prediction method for its great flexibility and promising accuracy. In RF, it is conventional to put equal weights on all the base learners (trees) to aggregate their predictions.…

Machine Learning · Statistics 2023-05-18 Xinyu Chen , Dalei Yu , Xinyu Zhang

We study U.S. Treasury yield curve forecasting under distributional uncertainty and recast forecasting as an operations research and managerial decision problem. Rather than minimizing average forecast error, the forecaster selects a…

Mathematical Finance · Quantitative Finance 2026-01-09 Jinjun Liu , Ming-Yen Cheng

Forecast combination and model averaging have become popular tools in forecasting and prediction, both of which combine a set of candidate estimates with certain weights and are often shown to outperform single estimates. A data-driven…

Statistics Theory · Mathematics 2025-10-31 Jiahui Zou , Andrey Vasnev , Wendun Wang , Xinyu Zhang

Predictions using a combination of decision trees are known to be effective in machine learning. Typical ideas for constructing a combination of decision trees for prediction are bagging and boosting. Bagging independently constructs…

Machine Learning · Computer Science 2024-02-12 Keito Tajima , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

Adapting machine learning algorithms to better handle the presence of clusters or batch effects within training datasets is important across a wide variety of biological applications. This article considers the effect of ensembling Random…

Machine Learning · Statistics 2025-04-01 Maya Ramchandran , Rajarshi Mukherjee , Giovanni Parmigiani

Treeging combines the flexible mean structure of regression trees with the covariance-based prediction strategy of kriging into the base learner of an ensemble prediction algorithm. In so doing, it combines the strengths of the two primary…

Machine Learning · Statistics 2021-10-05 Gregory L. Watson , Michael Jerrett , Colleen E. Reid , Donatello Telesca

We demonstrate that the forecasting combination puzzle is a consequence of the methodology commonly used to produce forecast combinations. By the combination puzzle, we refer to the empirical finding that predictions formed by combining…

Econometrics · Economics 2023-08-11 David T. Frazier , Ryan Covey , Gael M. Martin , Donald Poskitt

Random forests are a statistical learning technique that use bootstrap aggregation to average high-variance and low-bias trees. Improvements to random forests, such as applying Lasso regression to the tree predictions, have been proposed in…

Machine Learning · Statistics 2025-11-13 Jing Shang , James Bannon , Benjamin Haibe-Kains , Robert Tibshirani

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

Methodology · Statistics 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

When multiple forecasts are available for a probability distribution, forecast combining enables a pragmatic synthesis of the information to extract the wisdom of the crowd. The linear opinion pool has been widely used, whereby the…

Methodology · Statistics 2025-02-25 James W. Taylor , Xiaochun Meng

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

Machine learning techniques always aim to reduce the generalized prediction error. In order to reduce it, ensemble methods present a good approach combining several models that results in a greater forecasting capacity. The Random Machines…

Machine Learning · Statistics 2020-03-31 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

This work studies the statistical implications of using features comprised of general linear combinations of covariates to partition the data in randomized decision tree and forest regression algorithms. Using random tessellation theory in…

Statistics Theory · Mathematics 2025-11-05 Eliza O'Reilly

This paper analyzes comparatively the performance of Random Forests and Gradient Boosting algorithms in the field of forecasting the energy consumption based on historical data. The two algorithms are applied in order to forecast the energy…

Artificial Intelligence · Computer Science 2022-07-26 Cristina Bianca Pop , Viorica Rozina Chifu , Corina Cordea , Emil Stefan Chifu , Octav Barsan

The weighted average is by far the most popular approach to combining multiple forecasts of some future outcome. This paper shows that both for probability or real-valued forecasts, a non-trivial weighted average of different forecasts is…

Methodology · Statistics 2015-09-28 Ville Satopää , Lyle Ungar

Tree-based ensemble methods, as Random Forests and Gradient Boosted Trees, have been successfully used for regression in many applications and research studies. Furthermore, these methods have been extended in order to deal with uncertainty…

Machine Learning · Computer Science 2018-11-20 Myriam Tami , Marianne Clausel , Emilie Devijver , Adrien Dulac , Eric Gaussier , Stefan Janaqi , Meriam Chebre

Value-oriented forecasts for two-stage power system operational problems have been demonstrated to reduce cost, but prove to be computationally challenging for large-scale systems because the underlying optimization problem must be…

Optimization and Control · Mathematics 2025-05-20 Mehrnoush Ghazanfariharandi , Robert Mieth

In this paper, we investigate meta-learning for combining forecasts generated by models of different types. While typical approaches for combining forecasts involve simple averaging, machine learning techniques enable more sophisticated…

Machine Learning · Computer Science 2025-04-15 Grzegorz Dudek

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

Methodology · Statistics 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt