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Quantum Machine Learning (QML) presents as a revolutionary approach to weather forecasting by using quantum computing to improve predictive modeling capabilities. In this study, we apply QML models, including Quantum Gated Recurrent Units…

Quantum Physics · Physics 2025-09-15 Saiyam Sakhuja , Shivanshu Siyanwal , Abhishek Tiwari , Britant , Savita Kashyap

In the regression problem, L1 and L2 are the most commonly used loss functions, which produce mean predictions with different biases. However, the predictions are neither robust nor adequate enough since they only capture a few conditional…

Machine Learning · Computer Science 2019-11-14 Faen Zhang , Xinyu Fan , Hui Xu , Pengcheng Zhou , Yujian He , Junlong Liu

Penalized quantile regression (QR) is widely used for studying the relationship between a response variable and a set of predictors under data heterogeneity in high-dimensional settings. Compared to penalized least squares, scalable…

Methodology · Statistics 2022-05-06 Rebeka Man , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

Quantile regression (QR) is a powerful tool for estimating one or more conditional quantiles of a target variable $\mathrm{Y}$ given explanatory features $\boldsymbol{\mathrm{X}}$. A limitation of QR is that it is only defined for scalar…

Computation · Statistics 2023-06-05 Aviv A. Rosenberg , Sanketh Vedula , Yaniv Romano , Alex M. Bronstein

Recent work has demonstrated the utility of Random Forest (RF) proximities for various supervised machine learning tasks, including outlier detection, missing data imputation, and visualization. However, the utility of the RF proximities…

Machine Learning · Computer Science 2025-11-26 Ben Shaw , Adam Rustad , Sofia Pelagalli Maia , Jake S. Rhodes , Kevin R. Moon

This paper addresses computational challenges in estimating Quantile Regression with Selection (QRS). The estimation of the parameters that model self-selection requires the estimation of the entire quantile process several times. Moreover,…

Econometrics · Economics 2024-02-27 Santiago Pereda-Fernández

We propose quadratic residual networks (QRes) as a new type of parameter-efficient neural network architecture, by adding a quadratic residual term to the weighted sum of inputs before applying activation functions. With sufficiently high…

Machine Learning · Computer Science 2021-01-29 Jie Bu , Anuj Karpatne

The Random Forest model is one of the popular models of Machine learning. We present a quantum algorithm for testing (forecasting) process of the Random Forest machine learning model for the Regression problem. The presented algorithm is…

Quantum Physics · Physics 2026-03-25 Kamil Khadiev , Liliya Safina

Quantile regression (QR) can be used to describe the comprehensive relationship between a response and predictors. Prior domain knowledge and assumptions in application are usually formulated as constraints of parameters to improve the…

Computation · Statistics 2023-05-15 Yongxin Liu , Peng Zeng

We present the Quantum Kernel-Based Long short-memory (QK-LSTM) network, which integrates quantum kernel methods into classical LSTM architectures to enhance predictive accuracy and computational efficiency in climate time-series…

Quantum Physics · Physics 2024-12-13 Yu-Chao Hsu , Nan-Yow Chen , Tai-Yu Li , Po-Heng , Lee , Kuan-Cheng Chen

Quantile regression is a fundamental problem in statistical learning motivated by a need to quantify uncertainty in predictions, or to model a diverse population without being overly reductive. For instance, epidemiological forecasts, cost…

Machine Learning · Statistics 2023-04-18 Rasool Fakoor , Taesup Kim , Jonas Mueller , Alexander J. Smola , Ryan J. Tibshirani

We propose Multivariate Quantile Function Forecaster (MQF$^2$), a global probabilistic forecasting method constructed using a multivariate quantile function and investigate its application to multi-horizon forecasting. Prior approaches are…

An algorithm to improve performance parameter for unsupervised decision forest clustering and density estimation is presented. Specifically, a dual assignment parameter is introduced as a density estimator by combining Random Forest and…

Computer Vision and Pattern Recognition · Computer Science 2015-07-19 Hayder Albehadili , Naz Islam

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

As machine learning models grow increasingly competent, their predictions can supplement scarce or expensive data in various important domains. In support of this paradigm, algorithms have emerged to combine a small amount of high-fidelity…

Machine Learning · Computer Science 2025-07-08 Zhun Deng , Thomas P Zollo , Benjamin Eyre , Amogh Inamdar , David Madras , Richard Zemel

Decision trees (DTs) and their random forest (RF) extensions are workhorses of classification and regression in Euclidean spaces. However, algorithms for learning in non-Euclidean spaces are still limited. We extend DT and RF algorithms to…

Machine Learning · Computer Science 2025-06-10 Philippe Chlenski , Quentin Chu , Raiyan R. Khan , Kaizhu Du , Antonio Khalil Moretti , Itsik Pe'er

With the maturation of quantum computing technology, research has gradually shifted towards exploring its applications. Alongside the rise of artificial intelligence, various machine learning methods have been developed into quantum…

Quantum Physics · Physics 2025-03-14 Abel C. H. Chen

Capturing the conditional covariances or correlations among the elements of a multivariate response vector based on covariates is important to various fields including neuroscience, epidemiology and biomedicine. We propose a new method…

Methodology · Statistics 2023-05-12 Cansu Alakus , Denis Larocque , Aurelie Labbe

In this paper, we propose an invariant quantile regression (IQR) framework specifically designed for multi-environment datasets, which captures the invariance across different environments. This framework is closely related to transfer…

Methodology · Statistics 2026-05-28 Bo Fu , Dandan Jiang

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

Machine Learning · Computer Science 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang