Evidence map›Paper›PMID 31871152›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2020

Using machine learning to predict extreme events in complex systems.

Di Qi, Andrew J Majda

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.

0numbers the graph read from it
0cells of the map it votes in
20citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

20 citing papers in PubMed.

  1. Article
  2. Interpretable early warnings using machine learning in an online game-experiment.Proceedings of the National Academy of Sciences of the United States of America · 2026
    Article
  3. Article
  4. Review
  5. Article
  6. Utilizing non-stationary extreme value model to quantify extreme rainfall in two major cities in Bangladesh.Stochastic environmental research and risk assessment : research journal · 2025
    Article
  7. Article
  8. Article
  9. Article
  10. Review
  11. Evaluation of Model-Based PMEnvironmental science & technology · 2023
    Article
  12. Data-driven prediction in dynamical systems: recent developments.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2022
    Article
  13. Digital rheometer twins: Learning the hidden rheology of complex fluids through rheology-informed graph neural networks.Proceedings of the National Academy of Sciences of the United States of America · 2022
    Article
  14. Article
  15. Article
  16. Article
  17. Article
  18. Article
  19. Article
  20. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

2 authors.

Di QiDepartment of Mathematics, Courant Institute of Mathematical Sciences, New York University, New York, NY 10012; qidi@cims.nyu.edu jonjon@cims.nyu.edu.ORCID 0000-0002-9865-2327
Andrew J MajdaDepartment of Mathematics, Courant Institute of Mathematical Sciences, New York University, New York, NY 10012; qidi@cims.nyu.edu jonjon@cims.nyu.edu.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Extreme events and the related anomalous statistics are ubiquitously observed in many natural systems, and the development of efficient methods to understand and accurately predict such representative features remains a grand challenge. Here, we investigate the skill of deep learning strategies in the prediction of extreme events in complex turbulent dynamical systems. Deep neural networks have been successfully applied to many imaging processing problems involving big data, and have recently shown potential for the study of dynamical systems. We propose to use a densely connected mixed-scale network model to capture the extreme events appearing in a truncated Korteweg-de Vries (tKdV) statistical framework, which creates anomalous skewed distributions consistent with recent laboratory experiments for shallow water waves across an abrupt depth change, where a remarkable statistical phase transition is generated by varying the inverse temperature parameter in the corresponding Gibbs invariant measures. The neural network is trained using data without knowing the explicit model dynamics, and the training data are only drawn from the near-Gaussian regime of the tKdV model solutions without the occurrence of large extreme values. A relative entropy loss function, together with empirical partition functions, is proposed for measuring the accuracy of the network output where the dominant structures in the turbulent field are emphasized. The optimized network is shown to gain uniformly high skill in accurately predicting the solutions in a wide variety of statistical regimes, including highly skewed extreme events. The technique is promising to be further applied to other complicated high-dimensional systems.

Indexed as

anomalous extreme eventsconvolutional neural networksturbulent dynamical systems

Identifiers

PMID31871152
PMCPMC6955342

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.