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The discovery of governing equations from scientific data has the potential to transform data-rich fields that lack well-characterized quantitative descriptions. Advances in sparse regression are currently enabling the tractable…

Other Statistics · Statistics 2022-06-08 Kathleen Champion , Bethany Lusch , J. Nathan Kutz , Steven L. Brunton

Air quality has become one of the main issues in public health and urban planning management, due to the proven adverse effects of high pollutant concentrations. Considering the mitigation measures that cities all over the world are taking…

Machine Learning · Computer Science 2020-11-20 Rodrigo de Medrano , Víctor de Buen Remiro , José L. Aznarte

Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of reduced-order models for a variety of scientific and engineering tasks. However, it is challenging to characterize, much less guarantee, the…

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

Ambient air pollution measurements from regulatory monitoring networks are routinely used to support epidemiologic studies and environmental policy decision making. However, regulatory monitors are spatially sparse and preferentially…

Applications · Statistics 2026-03-02 Wenlong Gong , Brian J. Reich , Joseph Guinness

Machine learning recently has been used to identify the governing equations for dynamics in physical systems. The promising results from applications on systems such as fluid dynamics and chemical kinetics inspire further investigation of…

Systems and Control · Electrical Eng. & Systems 2019-07-19 Renganathan Subramanian , Shweta Singh

Environmental research increasingly uses high-dimensional remote sensing and numerical model output to help fill space-time gaps between traditional observations. Such output is often a noisy proxy for the process of interest. Thus one…

Methodology · Statistics 2012-04-30 Christopher J. Paciorek

Air pollution is a major risk factor for global health, with both ambient and household air pollution contributing substantial components of the overall global disease burden. One of the key drivers of adverse health effects is fine…

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

Data fusion models are widely used in air quality monitoring to integrate in situ and large-scale gridded products, offering spatially complete and temporally detailed estimates. However, traditional Gaussian-based models often…

Applications · Statistics 2026-05-18 M. Daniela Cuba , Craig Wilkie , Marian Scott , Daniela Castro-Camilo

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

The main components of an atmospheric model for numerical weather prediction are the dynamical core, which describes the resolved flow, and the physical parametrisations, which capture the effects of unresolved processes. Additionally,…

Numerical Analysis · Mathematics 2023-10-03 Alex Brown , Thomas M. Bendall , Ian Boutle , Thomas Melvin , Ben Shipway

This paper addresses the critical environmental challenge of estimating ambient Nitrogen Dioxide (NO$_2$) concentrations, a key issue in public health and environmental policy. Existing methods for satellite-based air pollution estimation…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Ruben Gonzalez Avilés , Linus Scheibenreif , Damian Borth

Atmospheric chemistry encapsulates the emission of various pollutants, the complex chemistry reactions, and the meteorology dominant transport, which form a dynamic system that governs air quality. While deep learning (DL) models have shown…

Atmospheric and Oceanic Physics · Physics 2025-10-08 Mijie Pang , Jianbing Jin , Arjo Segers , Hai Xiang Lin , Guoqiang Wang , Hong Liao , Wei Han

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

The level of air quality in urban centres is affected by emission of several pollutants, mainly coming from the vehicles flowing in their road networks. This is a well known phenomenon that influences the quality of life of people. Despite…

Fluid Dynamics · Physics 2011-02-02 P. Ferrante , D. Lo Bosco , S. Nicolosi , G. Scaccianoce , M. Traverso , G. Rizzo

Pattern-forming systems can exhibit a diverse array of complex behaviors as external parameters are varied, enabling a variety of useful functions in biological and engineered systems. First-principles derivations of the underlying…

Pattern Formation and Solitons · Physics 2023-11-20 Zachary G. Nicolaou , Guanyu Huo , Yihui Chen , Steven L. Brunton , J. Nathan Kutz

Climate change may be classified as the most important environmental problem that the Earth is currently facing, and affects all living species on Earth. Given that air-quality monitoring stations are typically ground-based their abilities…

Machine Learning · Computer Science 2023-05-08 Andrew Rowley , Oktay Karakuş

Atmospheric aerosols influence the Earth's climate, primarily by affecting cloud formation and scattering visible radiation. However, aerosol-related physical processes in climate simulations are highly uncertain. Constraining these…

Due to the profound impact of air pollution on human health, livelihoods, and economic development, air quality forecasting is of paramount significance. Initially, we employ the causal graph method to scrutinize the constraints of existing…

Artificial Intelligence · Computer Science 2025-05-27 Jiaming Ma , Guanjun Wang , Sheng Huang , Kuo Yang , Binwu Wang , Pengkun Wang , Yang Wang