mlsanityData to 14 Oct 2026

Modeling chaotic Lorenz ODE System using Scientific Machine Learning

arXiv 2410.06452 ↗First posted 9 Oct 2024cs.LG cs.AIcited by 1

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Abstract (arXiv)

In climate science, models for global warming and weather prediction face significant challenges due to the limited availability of high-quality data and the difficulty in obtaining it, making data efficiency crucial. In the past few years, Scientific Machine Learning (SciML) models have gained tremendous traction as they can be trained in a data-efficient manner, making them highly suitable for real-world climate applications. Despite this, very little attention has been paid to chaotic climate system modeling utilizing SciML methods. In this paper, we have integrated SciML methods into foundational weather models, where we have enhanced large-scale climate predictions with a physics-informed approach that achieves high accuracy with reduced data. We successfully demonstrate that by combining the interpretability of physical climate models with the computational power of neural networks, SciML models can prove to be a reliable tool for modeling climate. This indicates a shift from the traditional black box-based machine learning modeling of climate systems to physics-informed decision-making, leading to effective climate policy implementation.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 19 of its 49 references that are in the map. First posted on arXiv 9 Oct 2024.

Builds on

19 of 49 references.

References · 19

  1. 2018Neural Ordinary Differential Equationscited by 3,779
  2. 2021Physics-informed neural networks (PINNs) for fluid mechanics: A reviewcited by 473
  3. 2019Augmented Neural ODEscited by 397
  4. 2020Universal Differential Equations for Scientific Machine Learningcited by 353
  5. 2020How to train your neural ODE: the world of Jacobian and kinetic regularizationcited by 228
  6. 2020Dissecting Neural ODEscited by 153
  7. 2019A Differentiable Programming System to Bridge Machine Learning and Scientific Computingcited by 83
  8. 2019On Robustness of Neural Ordinary Differential Equationscited by 83
  9. 2021Stiff Neural Ordinary Differential Equationscited by 78
  10. 2020Parameterized Neural Ordinary Differential Equations: Applications to Computational Physics Problemscited by 45
  11. 2019DiffEqFlux.jl - A Julia Library for Neural Differential Equationscited by 33
  12. 2020Universal Approximation Property of Neural Ordinary Differential Equationscited by 32
7 more
  1. 2021Data-Driven Reduced-Order Modeling of Spatiotemporal Chaos with Neural Ordinary Differential Equationscited by 30
  2. 2020Universal Battery Performance and Degradation Model for Electric Aircraftcited by 8
  3. 2021Autonomous Kinetic Modeling of Biomass Pyrolysis using Chemical Reaction Neural Networkscited by 6
  4. 2017A Universal Ordinary Differential Equationcited by 4
  5. 2023Hybridizing Physics and Neural ODEs for Predicting Plasma Inductance Dynamics in Tokamak Fusion Reactorscited by 4
  6. 2020Julia Language in Machine Learning: Algorithms, Applications, and Open Issuescited by 3
  7. 2020Smart Weather Forecasting Using Machine Learning:A Case Study in Tennesseecited by 3

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Citing papers per year: 2026: 1.

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