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Modeling spatial heterogeneity and associated critical transitions remains a fundamental challenge in geography and environmental science. While conventional Geographically Weighted Regression (GWR) and deep learning models have improved…

Artificial Intelligence · Computer Science 2026-04-07 Sooyoung Lim , Zhenlong Li , Zi-Kui Liu

Wireless underground sensor networks play an important role in underground sensing such as climate-smart agriculture and underground infrastructure monitoring. Existing works consider a static underground environment, which is not practical…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Hongzhi Guo , Bincy Ben

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

Statistical Mechanics · Physics 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

Many problems in climate science require the identification of signals obscured by both the "noise" of internal climate variability and differences across models. Following previous work, we train an artificial neural network (ANN) to…

Atmospheric and Oceanic Physics · Physics 2020-08-24 Elizabeth A. Barnes , Benjamin Toms , James W. Hurrell , Imme Ebert-Uphoff , Chuck Anderson , David Anderson

Management and efficient operations in critical infrastructure such as Smart Grids take huge advantage of accurate power load forecasting which, due to its nonlinear nature, remains a challenging task. Recently, deep learning has emerged in…

Machine Learning · Computer Science 2019-07-23 Alberto Gasparin , Slobodan Lukovic , Cesare Alippi

Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

Methodology · Statistics 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

Data-driven machine learning models for weather forecasting have made transformational progress in the last 1-2 years, with state-of-the-art ones now outperforming the best physics-based models for a wide range of skill scores. Given the…

The path toward realizing the potential of seasonal forecasting and its socioeconomic benefits depends heavily on improving general circulation model based dynamical forecasting systems. To improve dynamical seasonal forecast, it is crucial…

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

Recent works exploring deep learning application to dynamical systems modeling have demonstrated that embedding physical priors into neural networks can yield more effective, physically-realistic, and data-efficient models. However, in the…

Neural and Evolutionary Computing · Computer Science 2020-11-30 Elliott Skomski , Jan Drgona , Aaron Tuor

Nonlinear dynamical systems exposed to changing forcing can exhibit catastrophic transitions between alternative and often markedly different states. The phenomenon of critical slowing down (CSD) can be used to anticipate such transitions…

Machine Learning · Computer Science 2024-09-13 Yu Huang , Sebastian Bathiany , Peter Ashwin , Niklas Boers

Deep Learning is becoming increasingly relevant in Embedded and Internet-of-things applications. However, deploying models on embedded devices poses a challenge due to their resource limitations. This can impact the model's inference…

Machine Learning · Computer Science 2024-03-14 Max Sponner , Lorenzo Servadei , Bernd Waschneck , Robert Wille , Akash Kumar

Despite tremendous progress in developing deep-learning-based weather forecasting systems, their design space, including the impact of different design choices, is yet to be well understood. This paper aims to fill this knowledge gap by…

Real-world complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in…

Adaptation and Self-Organizing Systems · Physics 2019-07-05 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been…

Dynamical Systems · Mathematics 2015-03-17 Christian Kuehn

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

To track rapid changes within our water sector, Global Water Models (GWMs) need to realistically represent hydrologic systems' response patterns - such as baseflow fraction - but are hindered by their limited ability to learn from data.…

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

The ability to accurately predict the surrounding environment is a foundational principle of intelligence in biological and artificial agents. In recent years, a variety of approaches have been proposed for learning to predict the physical…

Computer Vision and Pattern Recognition · Computer Science 2019-08-01 Alberto Cenzato , Alberto Testolin , Marco Zorzi