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This paper presents the development of a new entropy-based feature selection method for identifying and quantifying impacts. Here, impacts are defined as statistically significant differences in spatio-temporal fields when comparing…

Applications · Statistics 2024-09-27 Jerry Watkins , Luca Bertagna , Graham Harper , Andrew Steyer , Irina Tezaur , Diana Bull

The problems of causality, modeling, and control for chaotic, high-dimensional dynamical systems are formulated in the language of information theory. The central quantity of interest is the Shannon entropy, which measures the amount of…

Dynamical Systems · Mathematics 2022-06-01 Adrián Lozano-Durán , Gonzalo Arranz

Quantification of relations between measured variables of interest by statistical measures of dependence is a common step in analysis of climate data. The term "connectivity" is used in the network context including the study of complex…

Methodology · Statistics 2015-06-12 Jaroslav Hlinka , David Hartman , Martin Vejmelka , Dagmar Novotná , Milan Paluš

We make a case for "planetary computing" -- infrastructure to handle the ingestion, transformation, analysis and publication of global data products for furthering environmental science and enabling better informed policy-making. We draw on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-04 Patrick Ferris , Michael Dales , Sadiq Jaffer , Amelia Holcomb , Eleanor Toye Scott , Thomas Swinfield , Alison Eyres , Andrew Balmford , David Coomes , Srinivasan Keshav , Anil Madhavapeddy

In recent years, the climate change research community has become highly interested in describing the anthropogenic influence on extreme weather events, commonly termed "event attribution." Limitations in the observational record and in…

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Paleoclimate records are extremely rich sources of information about the past history of the Earth system. Information theory, the branch of mathematics capable of quantifying the degree to which the present is informed by the past,…

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

Data Analysis, Statistics and Probability · Physics 2021-02-01 Sachin Kasture

Measures of information transfer have become a popular approach to analyze interactions in complex systems such as the Earth or the human brain from measured time series. Recent work has focused on causal definitions of information transfer…

Methodology · Statistics 2016-03-21 Jakob Runge

We employ statistical physics and information-theoretic methods to quantify the dependencies between key atmospheric pollutants and meteorological variables across multiple Indian cities. To capture both linear and nonlinear relationships,…

Physics and Society · Physics 2025-08-26 Suchismita Banerjee , Koyena Ghosh , Moumita De , Urna Basu , Banasri Basu

Accurately determining dependency structure is critical to discovering a system's causal organization. We recently showed that the transfer entropy fails in a key aspect of this---measuring information flow---due to its conflation of dyadic…

Information Theory · Computer Science 2017-11-22 Ryan G. James , James P. Crutchfield

Stips, Macias, Coughlan, Garcia-Gorriz, and Liang (2016, Nature Scientific Reports) use information flows (Liang, 2008, 2014) to establish causality from various forcings to global temperature. We show that the formulas being used hinges on…

Applications · Statistics 2021-03-22 Philippe Goulet Coulombe , Maximilian Göbel

A central challenge in climate science and applied mathematics is developing data-driven models of multiscale systems that capture both stationary statistics and responses to external perturbations. Current neural climate emulators aim to…

Chaotic Dynamics · Physics 2026-01-27 Fabrizio Falasca

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Islands are diversity hotspots and vulnerable to environmental degradation, climate variations, land use changes and societal crises. These factors can exhibit interactive impacts on ecosystem services. The study reviewed a large number of…

With improved measurement and modelling technology, variability has emerged as an essential feature in non-equilibrium processes. While traditionally, mean values and variance have been heavily used, they are not appropriate in describing…

Atmospheric and Oceanic Physics · Physics 2020-02-12 Eun-jin Kim , James Heseltine , Hanli Liu

We present an atmospheric model tailored for the interactive visualization of planetary surfaces. As the exploration of the solar system is progressing with increasingly accurate missions and instruments, the faithful visualization of…

Human-Computer Interaction · Computer Science 2020-10-08 Jonathas Costa , Alexander Bock , Carter Emmart , Charles Hansen , Anders Ynnerman , Claudio Silva

The atmosphere is chaotic. This fundamental property of the climate system makes forecasting weather incredibly challenging: it's impossible to expect weather models to ever provide perfect predictions of the Earth system beyond timescales…

Atmospheric and Oceanic Physics · Physics 2020-12-15 Elizabeth A. Barnes , Kirsten Mayer , Benjamin Toms , Zane Martin , Emily Gordon

This paper presents expression of mutual information that defines the information gain in planning of sensing resources, when the goal is to reduce the forecast uncertainty of some quantities of interest and the system dynamics is described…

Systems and Control · Computer Science 2013-08-02 Han-Lim Choi