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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…

We develop a Bayesian spatio-temporal framework for extreme-value analysis that augments a hierarchical copula model with an autoregressive factor to capture residual temporal dependence in threshold exceedances. The factor can be specified…

Methodology · Statistics 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

Climate models have become an important tool in the study of climate and climate change, and ensemble experiments consisting of multiple climate-model runs are used in studying and quantifying the uncertainty in climate-model output.…

Applications · Statistics 2011-04-15 Stephan R. Sain , Reinhard Furrer , Noel Cressie

In many atmospheric and earth sciences, it is of interest to identify dominant spatial patterns of variation based on data observed at $p$ locations and $n$ time points with the possibility that $p>n$. While principal component analysis…

Methodology · Statistics 2016-02-29 Wen-Ting Wang , Hsin-Cheng Huang

A proper description of ocean-atmosphere interactions is key for a correct understanding of climate evolution. The interplay among the different variables acting over the climate is complex, often leading to correlations across long spatial…

Atmospheric and Oceanic Physics · Physics 2021-10-11 Niclas Rieger , Álvaro Corral , Estrella Olmedo , Antonio Turiel

Anomalies during an El Nino are dominated by a single, irregularly oscillating, mode. Equatorial dynamics has been linked to delayed-oscillator models of this mode. Usually, the El Nino mode is regarded as an unstable mode of the coupled…

Atmospheric and Oceanic Physics · Physics 2008-02-03 Gerrit Burgers

We want to characterize the properties of the cold dust clumps in the Carina Nebula Complex (CNC), which shows a very high level of massive star feedback. We derive the Clump Mass Function (ClMF), explore the reliability of different clump…

Astrophysics of Galaxies · Physics 2015-06-12 Stephanie Pekruhl , Thomas Preibisch , Frederic Schuller , Karl Menten

In this work, we propose a simulation-based estimation approach using generative neural networks to determine dependencies of precipitation maxima and their underlying uncertainty in time and space. Within the common framework of max-stable…

Machine Learning · Statistics 2026-05-01 Christopher Bülte , Lisa Leimenstoll , Melanie Schienle

Coastally associated rainfall is a common feature especially in tropical and subtropical regions. However, it has been difficult to quantify the contribution of coastal rainfall features to the overall local rainfall. We develop a novel…

Atmospheric and Oceanic Physics · Physics 2015-10-16 Martin Bergemann , Christian Jakob , Todd P. Lane

We construct directed and weighted climate networks based on near surface air temperature to investigate the global impacts of El Nino and La Nina. We find that regions which are characterized by higher positive or negative network in…

Atmospheric and Oceanic Physics · Physics 2016-09-05 Jingfang Fan , Jun Meng , Yosef Ashkenazy , Shlomo Havlin

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

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…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

Understanding the dynamics of the land-atmosphere exchange of CO$_2$ is key to advance our predictive capacities of the coupled climate-carbon feedback system. In essence, the net vegetation flux is the difference of the uptake of CO$_2$…

Dynamical Systems · Mathematics 2024-07-30 Leonard Schulz , Jürgen Vollmer , Miguel D. Mahecha , Karin Mora

This paper studies optimal estimation of large-dimensional nonlinear factor models. The key challenge is that the observed variables are possibly nonlinear functions of some latent variables where the functional forms are left unspecified.…

Statistics Theory · Mathematics 2023-11-14 Yingjie Feng

We develop a unified statistical framework for attributing heatwaves as spatio-temporal phenomena under climate change. We quantify the impact of anthropogenic forcing on the probability and persistence of heatwaves not captured by standard…

Applications · Statistics 2026-04-30 Kamal Gasser , Johan Segers , Francesco Ragone

Statistical methods for inference on spatial extremes of large datasets are yet to be developed. Motivated by standard dimension reduction techniques used in spatial statistics, we propose an approach based on empirical basis functions to…

Methodology · Statistics 2018-08-02 Samuel A. Morris , Brian J. Reich , Emeric Thibaud

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

Machine Learning · Statistics 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

We present a technique for spatiotemporal data analysis called nonlinear Laplacian spectral analysis (NLSA), which generalizes singular spectrum analysis (SSA) to take into account the nonlinear manifold structure of complex data sets. The…

Data Analysis, Statistics and Probability · Physics 2012-07-18 Dimitrios Giannakis , Andrew J. Majda

Non-stationary extremal dependence, whereby the relationship between the extremes of multiple variables evolves over time, is commonly observed in many environmental and financial data sets. However, most multivariate extreme value models…

Methodology · Statistics 2025-09-29 C. J. R. Murphy-Barltrop , J. L. Wadsworth , M. de Carvalho , B. D. Youngman

In this paper, we present a comprehensive analysis of extreme temperature patterns using emerging statistical machine learning techniques. Our research focuses on exploring and comparing the effectiveness of various statistical models for…

Applications · Statistics 2023-07-27 Kameron B. Kinast , Ernest Fokoué
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