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Deep neural networks trained using gradient descent with a fixed learning rate $\eta$ often operate in the regime of "edge of stability" (EOS), where the largest eigenvalue of the Hessian equilibrates about the stability threshold $2/\eta$.…

Machine Learning · Statistics 2025-03-03 Avrajit Ghosh , Soo Min Kwon , Rongrong Wang , Saiprasad Ravishankar , Qing Qu

This article analyzes SST remote forcing on the interannual variability of Sahel summer (June-September) moderate (below 75th percentile) and heavy (above 75th percentile) daily precipitation events during the period 1981-2016. Evidence is…

Atmospheric and Oceanic Physics · Physics 2024-01-29 Moussa Diakhaté , Belén Rodríguez-Fonseca , Iñigo Gómara , Elsa Mohino , Abdou Lahat Dieng , Amadou Thierno Gaye

Machine learning is playing an increasing role in hydrology, supplementing or replacing physics-based models. One notable example is the use of recurrent neural networks (RNNs) for forecasting streamflow given observed precipitation and…

Computational Physics · Physics 2024-12-09 Mauricio Lima , Katherine Deck , Oliver R. A. Dunbar , Tapio Schneider

Most of the two-dimensional (2D) hydraulic/hydrodynamic models are still computationally too demanding for real-time applications. In this paper, an innovative modelling approach based on a deep convolutional neural network (CNN) method is…

Machine Learning · Computer Science 2020-09-17 Syed Kabir , Sandhya Patidar , Xilin Xia , Qiuhua Liang , Jeffrey Neal , Gareth Pender , .

We study the forced response of the teleconnection between the El Nino-Southern Oscillation (ENSO) and global precipitation in general and the Indian summer monsoon (IM) in particular in the Max Planck Institute Grand Ensemble. The forced…

Atmospheric and Oceanic Physics · Physics 2020-09-07 Tamás Bódai , Gábor Drótos , Kyung-Ja Ha , June-Yi Lee , Tímea Haszpra , Eui-Seok Chung

In the present work we assess the capabilities of neural networks to predict temporally evolving turbulent flows. In particular, we use the nine-equation shear flow model by Moehlis et al. [New J. Phys. 6, 56 (2004)] to generate training…

Fluid Dynamics · Physics 2019-05-10 P. A. Srinivasan , L. Guastoni , H. Azizpour , P. Schlatter , R. Vinuesa

Development of the new methods of surface water observation is crucial in the perspective of increasingly frequent extreme hydrological events related to global warming and increasing demand for water. Orthophotos and digital surface models…

Neural and Evolutionary Computing · Computer Science 2022-12-06 Radosław Szostak , Marcin Pietroń , Mirosław Zimnoch , Przemysław Wachniew , Paweł Ćwiąkała , Edyta Puniach

Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable ESN, trained on a series of measurements of an invertible dynamical system, induces…

Chaotic Dynamics · Physics 2020-05-19 Allen G Hart , James L Hook , Jonathan H P Dawes

X-ray Photoelectron Spectroscopy (XPS) is a crucial technique for material surface analysis, yet interpreting its spectra is often challenging for both human analysts and automated methods due to the prevalence of variable spectral shifts…

Materials Science · Physics 2026-03-06 Issa Saddiq , Yuxin Fan , Robert G. Palgrave , Mark A. Isaacs , David Morgan , Keith T. Butler

Recent observations with varied schedules and types (moving average, snapshot, or regularly spaced) can help to improve streamflow forecasts, but it is challenging to integrate them effectively. Based on a long short-term memory (LSTM)…

Machine Learning · Computer Science 2020-07-09 Dapeng Feng , Kuai Fang , Chaopeng Shen

The rapid advancement of machine learning techniques has led to their widespread application in various domains including water resources. However, snowmelt modeling remains an area that has not been extensively explored. In this study, we…

Machine Learning · Computer Science 2024-11-20 Ukesh Thapa , Bipun Man Pati , Samit Thapa , Dhiraj Pyakurel , Anup Shrestha

Deep learning algorithms are growing in popularity in the field of exoplanetary science due to their ability to model highly non-linear relations and solve interesting problems in a data-driven manner. Several works have attempted to…

Earth and Planetary Astrophysics · Physics 2021-07-26 Kai Hou Yip , Quentin Changeat , Nikolaos Nikolaou , Mario Morvan , Billy Edwards , Ingo P. Waldmann , Giovanna Tinetti

El Ni\~no-Southern Oscillation (ENSO) exhibits significant impacts on the frequency of extreme weather events and its socio-economic implications prevail on a global scale. However, a fundamental gap still exists in understanding the…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Long Huo , Xin Chen , Kaiwen Li , Fengying Cai , Jürgen Kurths

Weather forecasting plays a critical role in various sectors, driving decision-making and risk management. However, traditional methods often struggle to capture the complex dynamics of meteorological systems, particularly in the presence…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Jiaze Wang , Hao Chen , Hongcan Xu , Jinpeng Li , Bowen Wang , Kun Shao , Furui Liu , Huaxi Chen , Guangyong Chen , Pheng-Ann Heng

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

Data Analysis, Statistics and Probability · Physics 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

Numerical weather prediction (NWP) models are fundamental in meteorology for simulating and forecasting the behavior of various atmospheric variables. The accuracy of precipitation forecasts and the acquisition of sufficient lead time are…

Machine Learning · Computer Science 2024-12-10 Junha Lee , Sojung An , Sujeong You , Namik Cho

AI weather prediction ensembles with latent noise injection and optimized with the continuous ranked probability score (CRPS) have produced both accurate and well-calibrated predictions with far less computational cost compared with…

Climate change has caused disruption in certain weather patterns, leading to extreme weather events like flooding and drought in different parts of the world. In this paper, we propose machine learning methods for analyzing changes in water…

Signal Processing · Electrical Eng. & Systems 2023-01-19 Francesco Mauro , Benjamin Rich , Veronica Wairimu Muriga , Alessandro Sebastianelli , Silvia Liberata Ullo

Deep learning (DL)-based general circulation models (GCMs) are emerging as fast simulators, yet their ability to replicate extreme events outside their training range remains unknown. Here, we evaluate two such models -- the hybrid Neural…

Atmospheric and Oceanic Physics · Physics 2025-10-28 Zilu Meng , Gregory J. Hakim , Wenchang Yang , Gabriel A. Vecchi

Backpropagation underpins modern deep learning, yet its reliance on global gradient synchronization limits scalability and incurs high memory costs. In contrast, fully local learning rules are more efficient but often struggle to maintain…

Machine Learning · Computer Science 2025-10-01 Bojian Yin , Federico Corradi
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