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相关论文: A Physics-Based Approach to Unsupervised Discovery…

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Causal discovery algorithms based on probabilistic graphical models have emerged in geoscience applications for the identification and visualization of dynamical processes. The key idea is to learn the structure of a graphical model from…

机器学习 · 计算机科学 2015-12-29 Imme Ebert-Uphoff , Yi Deng

Most current methods for identifying coherent structures in spatially-extended systems rely on prior information about the form which those structures take. Here we present two new approaches to automatically filter the changing…

元胞自动机与格子气 · 物理学 2011-11-09 Cosma Rohilla Shalizi , Robert Haslinger , Jean-Baptiste Rouquier , Kristina Lisa Klinkner , Cristopher Moore

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

机器学习 · 统计学 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems…

Differential equations based on physical principals are used to represent complex dynamic systems in all fields of science and engineering. Through repeated use in both academics and industry, these equations have been shown to represent…

统计方法学 · 统计学 2022-09-08 Joshua S. North , Christopher K. Wikle , Erin M. Schliep

Discovering governing equations from data is crucial for understanding complex systems in many diverse fields from science to engineering. Yet, there still is a lack of versatile computational toolbox to deal with this long standing…

混沌动力学 · 物理学 2026-05-15 Chengzuo Zhuge , Zheng Jiang , Zhefan Xu , Wei Chen

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang

Causal discovery is the subfield of causal inference concerned with estimating the structure of cause-and-effect relationships in a system of interrelated variables, as opposed to quantifying the strength or describing the form of causal…

统计方法学 · 统计学 2026-03-26 Rebecca F. Supple , Hannah Worthington , Ben Swallow

Cellular automata are fully-discrete, spatially-extended dynamical systems that evolve by simultaneously applying a local update function. Despite their simplicity, the induced global dynamic produces a stunning array of richly-structured,…

统计力学 · 物理学 2019-01-01 Adam Rupe , James P. Crutchfield

Many real-world scientific processes are governed by complex nonlinear dynamic systems that can be represented by differential equations. Recently, there has been increased interest in learning, or discovering, the forms of the equations…

统计方法学 · 统计学 2022-10-20 Joshua S. North , Christopher K. Wikle , Erin M. Schliep

Experimental data is often affected by uncontrolled variables that make analysis and interpretation difficult. For spatiotemporal systems, this problem is further exacerbated by their intricate dynamics. Modern machine learning methods are…

计算物理 · 物理学 2020-09-16 Peter Y. Lu , Samuel Kim , Marin Soljačić

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

机器学习 · 计算机科学 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

Microclimate models are essential for linking climate to ecological processes, yet most physically based frameworks estimate temperature independently for each spatial unit and rely on simplified representations of lateral heat exchange. As…

机器学习 · 计算机科学 2026-03-17 Idan Sulami , Alon Itzkovitch , Michael R. Kearney , Moni Shahar , Ofir Levy

Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly improved understanding of how global warming drives extreme…

计算物理 · 物理学 2019-09-18 Adam Rupe , Karthik Kashinath , Nalini Kumar , Victor Lee , Prabhat , James P. Crutchfield

Modeling nonlinear spatiotemporal dynamical systems has primarily relied on partial differential equations (PDEs). However, the explicit formulation of PDEs for many underexplored processes, such as climate systems, biochemical reaction and…

机器学习 · 计算机科学 2023-05-23 Chengping Rao , Hao Sun , Yang Liu

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a mechanism to map the input data to output without explicitly…

机器学习 · 计算机科学 2020-12-22 Waad Subber , Piyush Pandita , Sayan Ghosh , Genghis Khan , Liping Wang , Roger Ghanem

Data-driven astrophysics currently relies on the detection and characterisation of correlations between objects' properties, which are then used to test physical theories that make predictions for them. This process fails to utilise…

星系天体物理 · 物理学 2026-03-17 Harry Desmond , Joseph Ramsey

Physics is a field of science that has traditionally used the scientific method to answer questions about why natural phenomena occur and to make testable models that explain the phenomena. Discovering equations, laws and principles that…

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

大气与海洋物理 · 物理学 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio
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