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In this paper, we consider estimation of the conditional mode of an outcome variable given regressors. To this end, we propose and analyze a computationally scalable estimator derived from a linear quantile regression model and develop…

Statistics Theory · Mathematics 2019-07-30 Hirofumi Ota , Kengo Kato , Satoshi Hara

Quantile regression is a very important tool to explore the relationship between the response variable and its covariates. Motivated by mean regression with LASSO for compositional covariates proposed by Lin et al. (2014), we consider…

Methodology · Statistics 2020-06-02 Xuejun Ma , Ping Zhang

Streaming data often exhibit heterogeneity due to heteroscedastic variances or inhomogeneous covariate effects. Online renewable quantile and expectile regression methods provide valuable tools for detecting such heteroscedasticity by…

Methodology · Statistics 2026-02-27 Wei Cao , Shanshan Wanga , Xiaoxue Hua

Constructing valid prediction intervals rather than point estimates is a well-established approach for uncertainty quantification in the regression setting. Models equipped with this capacity output an interval of values in which the ground…

Machine Learning · Statistics 2025-02-07 Thomas Pouplin , Alan Jeffares , Nabeel Seedat , Mihaela van der Schaar

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

Quantile is an important measure in finance and quality assessment in service industry. In this paper, we model the temporal and cross-sectional interactive effect of the quantiles of large-dimensional time series by a latent quantile…

Methodology · Statistics 2023-03-07 He Yong , Kong Xin-Bing , Yu Long , Zhao Peng

This paper aims to predict the traffic flow at one road segment based on nearby traffic volume and weather conditions. Our team also discover the impact of weather conditions and nearby traffic volume on the traffic flow at a target point.…

Machine Learning · Computer Science 2023-11-15 Anh Thi-Hoang Nguyen , Dung Ha Nguyen , Trong-Hop Do

Load forecasting has long been recognized as an important building block for all utility operational planning efforts. Over the recent years, it has become ever more challenging to make accurate forecasts due to the proliferation of…

Systems and Control · Computer Science 2019-05-17 Guangrui Xie , Xi Chen , Yang Weng

Many applications of LLM-based text regression require predicting a full conditional distribution rather than a single point value. We study distributional regression under empirical-quantile supervision, where each input is paired with…

Computation and Language · Computer Science 2026-04-23 Yilun Zhu , Yuan Zhuang , Nikhita Vedula , Dushyanta Dhyani , Shaoyuan Xu , Moyan Li , Mohsen Bayati , Bryan Wang , Shervin Malmasi

With the growing popularity of electric vehicles as a means of addressing climate change, concerns have emerged regarding their impact on electric grid management. As a result, predicting EV charging demand has become a timely and important…

Machine Learning · Computer Science 2026-04-01 Iason Kyriakopoulos , Yannis Theodoridis

Accurate short-term load forecasting is essential for the efficient operation of the power sector. Forecasting load at a fine granularity such as hourly loads of individual households is challenging due to higher volatility and inherent…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Haris Mansoor , Sarwan Ali , Imdadullah Khan , Naveed Arshad , Muhammad Asad Khan , Safiullah Faizullah

Power load forecast with Machine Learning is a fairly mature application of artificial intelligence and it is indispensable in operation, control and planning. Data selection techniqies have been hardly used in this application. However,…

This paper covers predicting high-resolution electricity peak demand features given lower-resolution data. This is a relevant setup as it answers whether limited higher-resolution monitoring helps to estimate future high-resolution peak…

Machine Learning · Computer Science 2023-02-13 Jonathan Berrisch , Michał Narajewski , Florian Ziel

We describe various moment-based ensemble interpretation models for the construction of probabilistic temperature forecasts from ensembles. We apply the methods to one year of medium range ensemble forecasts and perform in and out of sample…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Forecasting load in power transmission networks is essential across various hierarchical levels, from the system level down to individual points of delivery (PoD). While intuitive and locally accurate, traditional local forecasting models…

Machine Learning · Computer Science 2025-07-17 Amirhossein Ahmadi , Hamidreza Zareipour , Henry Leung

Quantile regression, that is the prediction of conditional quantiles, has steadily gained importance in statistical modeling and financial applications. The authors introduce a new semiparametric quantile regression method based on…

Methodology · Statistics 2016-11-17 Daniel Kraus , Claudia Czado

Quantile regression relates the quantile of the response to a linear predictor. For a discrete response distributions, like the Poission, Binomial and the negative Binomial, this approach is not feasible as the quantile function is not…

Methodology · Statistics 2019-03-19 Tullia Padellini , Haavard Rue

Scenario-based probabilistic forecasts have become vital for decision-makers in handling intermittent renewable energies. This paper presents a recent promising deep learning generative approach called denoising diffusion probabilistic…

Machine Learning · Computer Science 2023-08-22 Esteban Hernandez Capel , Jonathan Dumas

Forecasting, to estimate future events, is crucial for business and decision-making. This paper proposes QxEAI, a methodology that produces a probabilistic forecast that utilizes a quantum-like evolutionary algorithm based on training a…

Physics and Society · Physics 2024-06-24 Kevin Xin , Lizhi Xin

As a competitive alternative to least squares regression, quantile regression is popular in analyzing heterogenous data. For quantile regression model specified for one single quantile level $\tau$, major difficulties of semiparametric…

Methodology · Statistics 2017-05-29 Kani Chen , Yuanyuan Lin , Zhanfeng Wang , Zhiliang Ying