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This paper reviews the main estimation and prediction results derived in the context of functional time series, when Hilbert and Banach spaces are considered, specially, in the context of autoregressive processes of order one (ARH(1) and…

Statistics Theory · Mathematics 2017-06-21 J. Álvarez-Liébana

Air quality forecasting has been regarded as the key problem of air pollution early warning and control management. In this paper, we propose a novel deep learning model for air quality (mainly PM2.5) forecasting, which learns the…

Machine Learning · Computer Science 2019-11-26 Shengdong Du , Tianrui Li , Yan Yang , Shi-Jinn Horng

Air quality is closely related to public health. Health issues such as cardiovascular diseases and respiratory diseases, may have connection with long exposure to highly polluted environment. Therefore, accurate air quality forecasts are…

Applications · Statistics 2019-12-17 Haolin Fei , Xiaofeng Wu , Chunbo Luo

We present a simple framework to easily pre-select the most essential data for accurately forecasting the concentration of the pollutant PM$_{10}$, based on pollutants observations for the years 2002 until 2006 in the metropolitan region of…

Atmospheric and Oceanic Physics · Physics 2014-11-05 Ana Russo , Pedro G. Lind , Frank Raischel , Ricardo Trigo , Manuel Mendes

The spread of PM2.5 pollutants that endanger health is difficult to predict because it involves many atmospheric variables. These micron particles can spread rapidly from their source to residential areas, increasing the risk of respiratory…

Machine Learning · Computer Science 2021-01-18 Hsing-Chung Chen , Karisma Trinanda Putra , Jerry Chun-WeiLin

Accurate predictions of pollutant concentrations at new locations are often of interest in air pollution studies on fine particulate matters (PM$_{2.5}$), in which data is usually not measured at all study locations. PM$_{2.5}$ is also a…

Applications · Statistics 2020-05-19 Phuong T. Vu , Timothy V. Larson , Adam A. Szpiro

This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their technical…

Methodology · Statistics 2014-04-01 Alexander Aue , Diogo Dubart Norinho , Siegfried Hörmann

Global ambient air pollution, a transboundary challenge, is typically addressed through interventions relying on data from spatially sparse and heterogeneously placed monitoring stations. These stations often encounter temporal data gaps…

Machine Learning · Computer Science 2024-02-19 Liam J Berrisford , Hugo Barbosa , Ronaldo Menezes

This paper presents an engine able to forecast jointly the concentrations of the main pollutants harming people's health: nitrogen dioxyde (NO2), ozone (O3) and particulate matter (PM2.5 and PM10, which are respectively the particles whose…

Machine Learning · Computer Science 2020-06-17 Antoine Alléon , Grégoire Jauvion , Boris Quennehen , David Lissmyr

Particulate matter pollution is one of the deadliest types of air pollution worldwide due to its significant impacts on the global environment and human health. Particulate Matter (PM2.5) is one of the important particulate pollutants to…

Signal Processing · Electrical Eng. & Systems 2020-02-27 Jalpa Shah , Biswajit Mishra

Air contamination in urban areas has risen consistently over the past few years. Due to expanding industrialization and increasing concentration of toxic gases in the climate, the air is getting more poisonous step by step at an alarming…

Machine Learning · Computer Science 2021-05-13 Satvik Garg , Himanshu Jindal

This paper presents an engine able to forecast jointly the concentrations of the main pollutants harming people's health: nitrogen dioxide (NO2), ozone (O3) and particulate matter (PM2.5 and PM10, which are respectively the particles whose…

Machine Learning · Computer Science 2021-10-15 Thibaut Cassard , Grégoire Jauvion , Antoine Alléon , Boris Quennehen , David Lissmyr

With the intensification of global climate change, accurate prediction of air quality indicators, especially PM2.5 concentration, has become increasingly important in fields such as environmental protection, public health, and urban…

Machine Learning · Computer Science 2025-08-18 Zicheng Guo , Shuqi Wu , Meixing Zhu , He Guandi

Particulate matter data now include various particle sizes, which often manifest as a collection of curves observed sequentially over time. When considering 51 distinct particle sizes, these curves form a high-dimensional functional time…

Methodology · Statistics 2025-10-03 Han Lin Shang , Israel Martinez Hernandez

Air pollution poses a serious threat to human health as well as economic development around the world. To meet the increasing demand for accurate predictions for air pollutions, we proposed a Deep Inferential Spatial-Temporal Network to…

Machine Learning · Computer Science 2018-09-12 Hao Wang , Bojin Zhuang , Yang Chen , Ni Li , Dongxia Wei

Air pollution, especially the particulate matter 2.5 (PM2.5), has become a growing concern in recent years, primarily in urban areas. Being exposed to air pollution is linked to developing numerous health problems, like the aggravation of…

Machine Learning · Computer Science 2025-11-04 Dragoş-Andrei Şerban , Răzvan-Alexandru Smădu , Dumitru-Clementin Cercel

This paper presents new results on prediction of linear processes in function spaces. The autoregressive Hilbertian process framework of order one (ARH(1) process framework) is adopted. A componentwise estimator of the autocorrelation…

Statistics Theory · Mathematics 2018-09-05 J. Álvarez-Liébana , D. Bosq , M. Dolores Ruiz-Medina

Environmental data often take the form of a collection of curves observed sequentially over time. An example of this includes daily pollution measurement curves describing the concentration of a particulate matter in ambient air. These…

Computation · Statistics 2016-08-26 Han Lin Shang

We propose a two-step procedure to model and predict high-dimensional functional time series, where the number of function-valued time series $p$ is large in relation to the length of time series $n$. Our first step performs an…

Methodology · Statistics 2024-06-04 Jinyuan Chang , Qin Fang , Xinghao Qiao , Qiwei Yao

In economics we often face a system, which intrinsically imposes a structure of hierarchy of its components, i.e., in modelling trade accounts related to foreign exchange or in optimization of regional air protection policy. A problem of…

Econometrics · Economics 2018-04-04 Daniel Kosiorowski , Dominik Mielczarek , Jerzy. P. Rydlewski
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