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Accurate tropical cyclones (TCs) tracking represents a critical challenge in the context of weather and climate science. Traditional tracking schemes mainly rely on subjective thresholds, which may introduce biases in their skills on the…

机器学习 · 计算机科学 2026-03-27 Davide Donno , Donatello Elia , Gabriele Accarino , Marco De Carlo , Enrico Scoccimarro , Silvio Gualdi

Neural ordinary differential equations (NODEs) are an effective approach for data-driven modeling of dynamical systems arising from simulations and experiments. One of the major shortcomings of NODEs, especially when coupled with explicit…

数值分析 · 数学 2025-12-30 Allen Alvarez Loya , Daniel A. Serino , J. W. Burby , Qi Tang

This work proposes an extension of neural ordinary differential equations (NODEs) by introducing an additional set of ODE input parameters to NODEs. This extension allows NODEs to learn multiple dynamics specified by the input parameter…

计算物理 · 物理学 2021-11-17 Kookjin Lee , Eric J. Parish

Physics-informed neural networks (PINNs) impose known physical laws into the learning of deep neural networks, making sure they respect the physics of the process while decreasing the demand of labeled data. For systems represented by…

Deep learning has an increasing impact to assist research, allowing, for example, the discovery of novel materials. Until now, however, these artificial intelligence techniques have fallen short of discovering the full differential equation…

Assessing turbulence control effects for wall friction numerically is a significant challenge since it requires expensive simulations of turbulent fluid dynamics. We instead propose an efficient deep reinforcement learning (RL) framework…

机器学习 · 计算机科学 2025-10-07 Zelin Zhao , Zongyi Li , Kimia Hassibi , Kamyar Azizzadenesheli , Junchi Yan , H. Jane Bae , Di Zhou , Anima Anandkumar

Short-term forecasting is an important tool in understanding environmental processes. In this paper, we incorporate machine learning algorithms into a conditional distribution estimator for the purposes of forecasting tropical cyclone…

机器学习 · 统计学 2020-08-19 David B. Huberman , Brian J. Reich , Howard D. Bondell

Owing to the remarkable development of deep learning technology, there have been a series of efforts to build deep learning-based climate models. Whereas most of them utilize recurrent neural networks and/or graph neural networks, we design…

机器学习 · 计算机科学 2021-11-12 Jeehyun Hwang , Jeongwhan Choi , Hwangyong Choi , Kookjin Lee , Dongeun Lee , Noseong Park

Precipitation from tropical cyclones (TCs) can cause disasters such as flooding, mudslides, and landslides. Predicting such precipitation in advance is crucial, giving people time to prepare and defend against these precipitation-induced…

机器学习 · 计算机科学 2025-05-20 Cheng Huang , Pan Mu , Cong Bai , Peter AG Watson

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

机器学习 · 计算机科学 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

In a changing climate, artificial intelligence (AI) weather models have the potential to provide cheaper, faster, and more accurate forecasts of high-impact weather events. To realize this potential and gauge trustworthiness, there is a…

大气与海洋物理 · 物理学 2026-03-24 Rebecca Baiman , Ankur Mahesh , Elizabeth A. Barnes

Physics-informed neural networks (PINNs) constitute a flexible deep learning approach for solving partial differential equations (PDEs), which model phenomena ranging from heat conduction to quantum mechanical systems. Despite their…

Climate models project an uncertainty range of possible warming scenarios from 1.5 to 5 degree Celsius global temperature increase until 2100, according to the CMIP6 model ensemble. Climate risk management and infrastructure adaptation…

机器学习 · 计算机科学 2021-05-10 Björn Lütjens , Catherine H. Crawford , Mark Veillette , Dava Newman

Background: Deep learning techniques, particularly neural networks, have revolutionized computational physics, offering powerful tools for solving complex partial differential equations (PDEs). However, ensuring stability and efficiency…

人工智能 · 计算机科学 2024-07-11 A. Noorizadegan , R. Cavoretto , D. L. Young , C. S. Chen

A storm is a type of extreme weather. Therefore, forecasting the path of a storm is extremely important for protecting human life and property. However, storm forecasting is very challenging because storm trajectories frequently change. In…

机器学习 · 计算机科学 2025-05-02 Nguyen Van Thanh , Nguyen Dang Huynh , Nguyen Ngoc Tan , Nguyen Thai Minh , Nguyen Nam Hoang

Simple models have been used to describe ecological processes for over a century. However, the complexity of ecological systems makes simple models subject to modeling bias due to simplifying assumptions or unaccounted factors, limiting…

定量方法 · 定量生物学 2024-01-24 Jorge Arroyo-Esquivel , Christopher A Klausmeier , Elena Litchman

Accurate forecasting of Tropical cyclone (TC) intensity is crucial for formulating disaster risk reduction strategies. Current methods predominantly rely on limited spatiotemporal information from ERA5 data and neglect the causal…

大气与海洋物理 · 物理学 2024-02-22 Xinyu Wang , Kang Chen , Lei Liu , Tao Han , Bin Li , Lei Bai

Tropical cyclones (TCs) rank among the most destructive natural hazards, yet their forecasting faces fundamental trade-offs: numerical weather prediction (NWP) models are computationally prohibitive and struggle to leverage historical data,…

机器学习 · 计算机科学 2026-04-15 Renlong Hang , Zihao Xu , Jiuwei Zhao , Runling Yu , Leye Cheng , Qingshan Liu

Traffic state estimation (TSE) fundamentally involves solving high-dimensional spatiotemporal partial differential equations (PDEs) governing traffic flow dynamics from limited, noisy measurements. While Physics-Informed Neural Networks…

机器学习 · 计算机科学 2025-08-19 Zhihao Li , Ting Wang , Guojian Zou , Ruofei Wang , Ye Li

Neural networks are universal approximators and are studied for their use in solving differential equations. However, a major criticism is the lack of error bounds for obtained solutions. This paper proposes a technique to rigorously…

计算工程、金融与科学 · 计算机科学 2023-06-07 Shuheng Liu , Xiyue Huang , Pavlos Protopapas