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High-dimensional multivariate time series are challenging due to the dependent and high-dimensional nature of the data, but in many applications there is additional structure that can be exploited to reduce computing time along with…

Methodology · Statistics 2020-03-13 Michael Schweinberger , Sergii Babkin , Katherine Ensor

Univariate time series often take the form of a collection of curves observed sequentially over time. Examples of these include hourly ground-level ozone concentration curves. These curves can be viewed as a time series of functions…

Methodology · Statistics 2019-05-09 Han Lin Shang

Dynamical behaviour of discrete dynamical systems has been investigated extensively in the past few decades. However, in several applications, long term memory plays an important role in the evolution of dynamical variables. The definition…

Dynamical Systems · Mathematics 2022-08-30 Sumit S. Pakhare , Varsha Daftardar-Gejji , Dilip S. Badwaik , Amey Deshpande , Prashant M. Gade

Current operational air quality forecasts are computationally expensive, sensitive to errors in physics and emissions, and often neglect weather-related uncertainty. To address these limitations, we present AirFusion, a hybrid,…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Ao Ding , Aoxing Zhang , Tzung-May Fu , Yuanlong Huang , Qianjie Chen , Yuyang Chen , Jiajia Mo , Wei Tao , Wai-Chi Cheng , Lei Zhu , Xin Yang , Guy Brasseur

Percolation is one of the simplest and nicest models in probability theory/statistical mechanics which exhibits critical phenomena. Dynamical percolation is a model where a simple time dynamics is added to the (ordinary) percolation model.…

Probability · Mathematics 2009-02-17 Jeffrey E. Steif

Wildfire frequency is increasing as the climate changes, and the resulting air pollution poses health risks. Just as people routinely use hourly weather forecasts to plan their day's activities around precipitation, reliable hourly air…

Machine Learning · Computer Science 2025-09-03 Renato Berlinghieri , David R. Burt , Paolo Giani , Arlene M. Fiore , Tamara Broderick

There is a wealth of data on air pollution within several users' reach, including modelled concentrations and depositions as well as observations from air quality stations. However, data integration to perceive spatial and temporal trends…

Temporal data, obtained in the setting where it is only possible to observe one time point per experiment, is widely used in different research fields, yet remains insufficiently addressed from the statistical point of view. Such data often…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

Temporal data such as time series can be viewed as discretized measurements of the underlying function. To build a generative model for such data we have to model the stochastic process that governs it. We propose a solution by defining the…

Machine Learning · Computer Science 2023-05-22 Marin Biloš , Kashif Rasul , Anderson Schneider , Yuriy Nevmyvaka , Stephan Günnemann

Air pollution is one of the leading causes of death globally, and continues to have a detrimental effect on our health. In light of these impacts, an extensive range of statistical modelling approaches has been devised in order to better…

Atmospheric and Oceanic Physics · Physics 2022-03-10 Hankun He , Benjamin Schäfer , Christian Beck

Urban pollution poses serious health risks, particularly in relation to traffic-related air pollution, which remains a major concern in many cities. Vehicle emissions contribute to respiratory and cardiovascular issues, especially for…

Machine Learning · Computer Science 2024-12-30 Sen Yan , David J. O'Connor , Xiaojun Wang , Noel E. O'Connor , Alan F. Smeaton , Mingming Liu

Air pollution is a serious issue that currently affects many industrial cities in the world and can cause severe illness to the population. In particular, it has been proven that extreme high levels of airborne contaminants have dangerous…

Applications · Statistics 2019-11-12 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado

Air pollution significantly threatens human health and ecosystems, necessitating effective air quality prediction to inform public policy. Traditional approaches are generally categorized into physics-based and data-driven models.…

Machine Learning · Computer Science 2025-04-16 Jindong Tian , Yuxuan Liang , Ronghui Xu , Peng Chen , Chenjuan Guo , Aoying Zhou , Lujia Pan , Zhongwen Rao , Bin Yang

With the increase of global economic activities and high energy demand, many countries have raised concerns about air pollution. However, air quality prediction is a challenging issue due to the complex interaction of many factors. In this…

Signal Processing · Electrical Eng. & Systems 2020-03-06 Tien-Cuong Bui , Joonyoung Kim , Taewoo Kang , Donghyeon Lee , Junyoung Choi , Insoon Yang , Kyomin Jung , Sang Kyun Cha

Since Particulate Matters (PMs) are closely related to people's living and health, it has become one of the most important indicator of air quality monitoring around the world. But the existing sensor-based methods for PM monitoring have…

Image and Video Processing · Electrical Eng. & Systems 2020-04-07 Yonghui Zhang , Ke Gu

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

This paper presents an approach to estimating the health effects of an environmental hazard. The approach is general in nature, but is applied here to the case of air pollution. It uses a computer model involving ambient pollution and…

Applications · Statistics 2007-11-01 Gavin Shaddick , Duncan Lee , James V. Zidek , Ruth Salway

High spatial resolution PM2.5 data covering a long time period are urgently needed to support population exposure assessment and refined air quality management. In this study, we provided complete-coverage PM2.5 predictions with a 1-km…

Atmospheric and Oceanic Physics · Physics 2022-05-09 Qingyang Xiao , Guannan Geng , Shigan Liu , Jiajun Liu , Xia Meng , Qiang Zhang

Air pollution is a worldwide public health threat that can cause or exacerbate many illnesses, including respiratory disease, cardiovascular disease, and some cancers. However, epidemiological studies and public health decision-making are…

Functional spatio-temporal data naturally arise in many environmental and climate applications where data are collected in a three-dimensional space over time. The MATLAB D-STEM v1 software package was first introduced for modelling…

Methodology · Statistics 2021-01-28 Yaqiong Wang , Francesco Finazzi , Alessandro Fassò
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