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Due to the dynamic nature of financial markets, maintaining models that produce precise predictions over time is difficult. Often the goal isn't just point prediction but determining uncertainty. Quantifying uncertainty, especially the…

Machine Learning · Statistics 2024-08-06 Mingshu Li , Bhaskarjit Sarmah , Dhruv Desai , Joshua Rosaler , Snigdha Bhagat , Philip Sommer , Dhagash Mehta

Mixed frequency data has been shown to improve the performance of growth-at-risk models in the literature. Most of the research has focused on imposing structure on the high-frequency lags when estimating MIDAS-QR models akin to what is…

Econometrics · Economics 2024-06-24 Tibor Szendrei , Arnab Bhattacharjee , Mark E. Schaffer

This study introduces and evaluates the Quantile Regressor Tree (QRT), a novel methodology merging the robust characteristics of quantile regression with the versatility of decision trees. The quantile regressor tree introduces…

Applications · Statistics 2024-07-30 Jaachinma Okafor , Lateefah Isegen , Ark Ifeanyi

Quantum machine learning (QML) models often require deep, parameterized circuits to capture complex frequency components, limiting their scalability and near-term implementation. We introduce \textit{Quantum Random Features} (QRF) and…

Quantum Physics · Physics 2026-01-30 Akitada Sakurai , Aoi Hayashi , William John Munro , Kae Nemoto

In this article, we present a novel approach to multivariate probabilistic forecasting. Our approach is based on an extension of single-output quantile regression (QR) to multivariate-targets, called quantile surfaces (QS). QS uses a simple…

Applications · Statistics 2020-10-13 Maarten Bieshaar , Jens Schreiber , Stephan Vogt , André Gensler , Bernhard Sick

In many applications, heterogeneous treatment effects on a censored response variable are of primary interest, and it is natural to evaluate the effects at different quantiles (e.g., median). The large number of potential effect modifiers,…

Methodology · Statistics 2022-12-13 Huichen Zhu , Yifei Sun , Ying Wei

The emergence of Quantum Machine Learning (QML) to enhance traditional classical learning methods has seen various limitations to its realisation. There is therefore an imperative to develop quantum models with unique model hypotheses to…

Quantum Physics · Physics 2023-02-21 Maiyuren Srikumar , Charles D. Hill , Lloyd C. L. Hollenberg

Along with the widespread adoption of high-dimensional data, traditional statistical methods face significant challenges in handling problems with high correlation of variables, heavy-tailed distribution, and coexistence of sparse and dense…

Methodology · Statistics 2025-08-04 Xiaoyang Wei , Yanlin Tang , Xu Guo , Meiling Hao , Yanmei Shi

Timely characterizations of risks in economic and financial systems play an essential role in both economic policy and private sector decisions. However, the informational content of low-frequency variables and the results from conditional…

Econometrics · Economics 2022-09-07 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

It is known that the estimating equations for quantile regression (QR) can be solved using an EM algorithm in which the M-step is computed via weighted least squares, with weights computed at the E-step as the expectation of independent…

Methodology · Statistics 2021-08-26 Haim Bar , James Booth , Martin T. Wells

Quantile regression (QR) is a statistical tool for distribution-free estimation of conditional quantiles of a target variable given explanatory features. QR is limited by the assumption that the target distribution is univariate and defined…

Modern datasets arising from social media, genomics, and biomedical informatics are often heterogeneous and (ultra) high-dimensional, creating substantial challenges for conventional modeling techniques. Quantile regression (QR) not only…

Methodology · Statistics 2026-01-07 Hanqing Wu , Jonas Wallin , Iuliana Ionita-Laza

Quantifying predictive uncertainty is essential for safe and trustworthy real-world AI deployment. Yet, fully nonparametric estimation of conditional distributions remains challenging for multivariate targets. We propose Tomographic…

Machine Learning · Computer Science 2026-04-06 Takuya Kanazawa

Random Forest (RF) is a popular tree-ensemble method for supervised learning, prized for its ease of use and flexibility. Online RF models require to account for new training data to maintain model accuracy. This is particularly important…

Quantum Physics · Physics 2024-07-12 Romina Yalovetzky , Niraj Kumar , Changhao Li , Marco Pistoia

Quantile Regression (QR) provides a way to approximate a single conditional quantile. To have a more informative description of the conditional distribution, QR can be merged with deep learning techniques to simultaneously estimate multiple…

Machine Learning · Computer Science 2022-02-01 Axel Brando , Joan Gimeno , Jose A. Rodríguez-Serrano , Jordi Vitrià

Random Forest (Breiman, 2001) is a successful and widely used regression and classification algorithm. Part of its appeal and reason for its versatility is its (implicit) construction of a kernel-type weighting function on training data,…

Machine Learning · Statistics 2022-10-13 Domagoj Ćevid , Loris Michel , Jeffrey Näf , Nicolai Meinshausen , Peter Bühlmann

In ordinary quantile regression, quantiles of different order are estimated one at a time. An alternative approach, which is referred to as quantile regression coefficients modeling (QRCM), is to model quantile regression coefficients as…

Methodology · Statistics 2020-06-02 Paolo Frumento , Matteo Bottai , Iván Fernández-Val

Quantum machine learning models that leverage quantum circuits as quantum feature maps (QFMs) are recognized for their enhanced expressive power in learning tasks. Such models have demonstrated rigorous end-to-end quantum speedups for…

Quantum Physics · Physics 2026-04-29 Nasa Matsumoto , Quoc Hoan Tran , Koki Chinzei , Yasuhiro Endo , Hirotaka Oshima

Random forest (RF) stands out as a highly favored machine learning approach for classification problems. The effectiveness of RF hinges on two key factors: the accuracy of individual trees and the diversity among them. In this study, we…

Machine Learning · Computer Science 2024-10-28 Ye-eun Kim , Seoung Yun Kim , Hyunjoong Kim

Training with huge datasets and a large number of participating devices leads to bottlenecks in federated learning (FL). Furthermore, the challenges of heterogeneity between multiple FL clients affect the overall performance of the system.…

Machine Learning · Computer Science 2025-06-06 Dev Gurung , Shiva Raj Pokhrel
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