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In this study, we propose a function-on-function linear quantile regression model that allows for more than one functional predictor to establish a more flexible and robust approach. The proposed model is first transformed into a…

Methodology · Statistics 2021-11-11 Ufuk Beyaztas , Han Lin Shang

Time series forecasting is an important application in various domains such as energy management, traffic planning, financial markets, meteorology, and medicine. However, real-time series data often present intricate temporal variability…

Machine Learning · Computer Science 2025-04-02 Reza Nematirad , Anil Pahwa , Balasubramaniam Natarajan

We consider forecasting functional time series of extreme values within a generalised extreme value distribution (GEV). The GEV distribution can be characterised using the three parameters (location, scale and shape). As a result, the…

Methodology · Statistics 2020-12-22 Han Lin Shang , Ruofan Xu

Multivariate time-series (MTS) forecasting is a paramount and fundamental problem in many real-world applications. The core issue in MTS forecasting is how to effectively model complex spatial-temporal patterns. In this paper, we develop a…

Machine Learning · Computer Science 2024-02-16 Jinliang Deng , Xiusi Chen , Renhe Jiang , Du Yin , Yi Yang , Xuan Song , Ivor W. Tsang

As the aging population grows, particularly for the baby boomer generation, the United States is witnessing a significant increase in the elderly population experiencing multifunctional disabilities. These disabilities, stemming from a…

Machine Learning · Computer Science 2024-04-09 Suiyao Chen , Xinyi Liu , Yulei Li , Jing Wu , Handong Yao

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

Time-dependent density functional theory (TDDFT) is presently enjoying enormous popularity in quantum chemistry, as a useful tool for extracting electronic excited state energies. This article discusses how TDDFT is much broader in scope,…

Other Condensed Matter · Physics 2007-05-23 Kieron Burke , Jan Werschnik , E. K. U. Gross

In many countries life expectancy gains have been substantially higher than predicted by even recent forecasts. This is primarily due to increasing rates of improvement in old-age mortality not captured by existing models. In this paper we…

Methodology · Statistics 2021-09-07 Søren Fiig Jarner

The bilevel functional data under consideration has two sources of repeated measurements. One is to densely and repeatedly measure a variable from each subject at a series of regular time/spatial points, which is named as functional data.…

Methodology · Statistics 2021-11-15 Xiaotian Dai , Guifang Fu

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

Econometrics · Economics 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang

Multi-task and few-shot time series forecasting tasks are commonly encountered in scenarios such as the launch of new products in different cities. However, traditional time series forecasting methods suffer from insufficient historical…

Machine Learning · Computer Science 2025-06-25 Pengpeng Ouyang , Dong Chen , Tong Yang , Shuo Feng , Zhao Jin , Mingliang Xu

In this work we present a spatial approach to model and investigate mortality data referenced over a Lexis structure. We decompose the force of mortality into two interpretable components: a Markov random field, smooth with respect to time,…

Applications · Statistics 2018-10-23 Fabio Divino , Denekew Bitew Belay , Nico Keilman , Arnoldo Frigessi

This paper tackles one of the most fundamental goals in functional time series analysis which is to provide reliable predictions for future functions. Existing methods for predicting a complete future functional observation use only…

Methodology · Statistics 2022-02-08 Shuhao Jiao , Alexander Aue , Hernando Ombao

High-dimensional time series prediction is needed in applications as diverse as demand forecasting and climatology. Often, such applications require methods that are both highly scalable, and deal with noisy data in terms of corruptions or…

Machine Learning · Computer Science 2016-02-18 Hsiang-Fu Yu , Nikhil Rao , Inderjit S. Dhillon

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

Applications · Statistics 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

This paper presents a novel statistical state-dependent timing model for voltage over scaled (VoS) logic circuits that accurately and rapidly finds the timing distribution of output bits. Using this model erroneous VoS circuits can be…

Hardware Architecture · Computer Science 2014-03-13 Aras Pirbadian , Muhammad S. Khairy , Ahmed M. Eltawil , Fadi J. Kurdahi

The drug overdose crisis in the United States continues to intensify. Fatalities have increased five-fold since 1999 reaching a record high of 108,000 deaths in 2021. The epidemic has unfolded through distinct waves of different drug types,…

Applications · Statistics 2023-09-27 Lucas Böttcher , Tom Chou , Maria R. D'Orsogna

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

Machine Learning · Computer Science 2025-12-09 Andrey Savchenko , Oleg Kachan

We consider forecasting a single time series when there is a large number of predictors and a possible nonlinear effect. The dimensionality was first reduced via a high-dimensional (approximate) factor model implemented by the principal…

Statistics Theory · Mathematics 2015-12-29 Jianqing Fan , Lingzhou Xue , Jiawei Yao

Long-term time series forecasting (LTSF) offers broad utility in practical settings like energy consumption and weather prediction. Accurately predicting long-term changes, however, is demanding due to the intricate temporal patterns and…

Machine Learning · Computer Science 2025-05-19 Boshi Gao , Qingjian Ni , Fanbo Ju , Yu Chen , Ziqi Zhao