mlsanityData to 7 Oct 2026

Physics-Informed Deep Learning to Reduce the Bias in Joint Prediction of Nitrogen Oxides

arXiv 2308.07441 ↗First posted 14 Aug 2023cs.LG cs.AIcited by 5

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Abstract (arXiv)

Atmospheric nitrogen oxides (NOx) primarily from fuel combustion have recognized acute and chronic health and environmental effects. Machine learning (ML) methods have significantly enhanced our capacity to predict NOx concentrations at ground-level with high spatiotemporal resolution but may suffer from high estimation bias since they lack physical and chemical knowledge about air pollution dynamics. Chemical transport models (CTMs) leverage this knowledge; however, accurate predictions of ground-level concentrations typically necessitate extensive post-calibration. Here, we present a physics-informed deep learning framework that encodes advection-diffusion mechanisms and fluid dynamics constraints to jointly predict NO2 and NOx and reduce ML model bias by 21-42%. Our approach captures fine-scale transport of NO2 and NOx, generates robust spatial extrapolation, and provides explicit uncertainty estimation. The framework fuses knowledge-driven physicochemical principles of CTMs with the predictive power of ML for air quality exposure, health, and policy applications. Our approach offers significant improvements over purely data-driven ML methods and has unprecedented bias reduction in joint NO2 and NOx prediction.

Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 8 of its 66 references that are in the map. First posted on arXiv 14 Aug 2023.

Builds on

8 of 66 references.

References · 8

  1. 2017Attention Is All You Needcited by 59,932
  2. 2019DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operatorscited by 1,965
  3. 2015Automatic differentiation in machine learning: a surveycited by 846
  4. 2021Learning the solution operator of parametric partial differential equations with physics-informed DeepOnetscited by 537
  5. 2020Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEscited by 101
  6. 2014Learning Deep Representation for Face Alignment with Auxiliary Attributescited by 32
  7. 2018Using Deep Learning to Extend the Range of Air-Pollution Monitoring and Forecastingcited by 6
  8. 2017Causal inference in the context of an error prone exposure: air pollution and mortalitycited by 1

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 2; 2025: 1; 2026: 2.

5 papers.