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Global warming presents an unprecedented challenge to our planet however comprehensive understanding remains hindered by geographical biases temporal limitations and lack of standardization in existing research. An end to end visual…

Atmospheric and Oceanic Physics · Physics 2025-09-19 Meihua Zhou , Nan Wan , Tianlong Zheng , Hanwen Xu , Li Yang , Tingting Wang

The depletion and variations of groundwater storage~(GWS) are of critical importance for sustainable groundwater management. In this work, we use Gravity Recovery and Climate Experiment (GRACE) to estimate variations in the terrestrial…

Signal Processing · Electrical Eng. & Systems 2021-11-22 Yahya Sattar , Zubair Khalid

This paper presents a new graph isomorphism invariant, called $\mathfrak{w}$-labeling, that can be used to design a polynomial-time algorithm for solving the graph isomorphism problem for various graph classes. For example, all…

Data Structures and Algorithms · Computer Science 2023-01-24 Alpár Jüttner , Péter Madarasi

Spatial correlation in areal unit count data is typically modelled by a set of random effects that are assigned a conditional autoregressive (CAR) prior distribution. The spatial correlation structure implied by this model depends on a…

Methodology · Statistics 2020-10-22 Duncan Lee , Kitty Meeks

Although high-resolution gridded climate variables are provided by multiple sources, the need for country and region-specific climate data weighted by indicators of economic activity is becoming increasingly common in environmental and…

General Economics · Economics 2024-05-27 Marco Gortan , Lorenzo Testa , Giorgio Fagiolo , Francesco Lamperti

In domains with interdependent data, such as graphs, quantifying the epistemic uncertainty of a Graph Neural Network (GNN) is challenging as uncertainty can arise at different structural scales. Existing techniques neglect this issue or…

Machine Learning · Computer Science 2025-02-28 Dominik Fuchsgruber , Tom Wollschläger , Stephan Günnemann

Projecting climate change is a generalization problem: we extrapolate the recent past using physical models across past, present, and future climates. Current climate models require representations of processes that occur at scales smaller…

Graph representation learning has drawn increasing attention in recent years, especially for learning the low dimensional embedding at both node and graph level for classification and recommendations tasks. To enable learning the…

Machine Learning · Computer Science 2022-01-20 Tiehua Zhang , Yuze Liu , Xin Chen , Xiaowei Huang , Feng Zhu , Xi Zheng

Graph neural networks have emerged as a powerful tool for learning spatiotemporal interactions. However, conventional approaches often rely on predefined graphs, which may obscure the precise relationships being modeled. Additionally,…

Machine Learning · Computer Science 2025-02-21 Jeehong Kim , Minchan Kim , Jaeseong Ju , Youngseok Hwang , Wonhee Lee , Hyunwoo Park

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

Extreme precipitation events occurring over large spatial domains pose substantial threats to societies because they can trigger compound flooding, landslides, and infrastructure failures across wide areas. A hybrid framework for spatial…

Applications · Statistics 2025-09-15 Zimu Wang , Yifan Wu , Daning Bi

The problem of air pollution threatens public health. Air quality forecasting can provide the air quality index hours or even days later, which can help the public to prevent air pollution in advance. Previous works focus on citywide air…

Machine Learning · Computer Science 2021-08-30 Ling Chen , Jiahui Xu , Binqing Wu , Yuntao Qian , Zhenhong Du , Yansheng Li , Yongjun Zhang

In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding…

Numerical Analysis · Mathematics 2022-11-30 Farid Bozorgnia , Morteza Fotouhi , Avetik Arakelyan , Abderrahim Elmoataz

Future climate change impacts depend on temperatures not only through changes in their means but also through changes in their variability. General circulation models (GCMs) predict changes in both means and variability; however, GCM output…

Applications · Statistics 2015-11-03 Andrew Poppick , David J. McInerney , Elisabeth J. Moyer , Michael L. Stein

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

Effective water resource management depends on accurate projections of flows in water channels. For projected climate data, use of different General Circulation Models (GCM) simulates contrasting results. This study shows selection of GCM…

Atmospheric and Oceanic Physics · Physics 2026-02-16 Saad Ahmed Jamal , Ammara Nusrat , Muhammad Azmat , Muhammad Osama Nusrat

Precipitation results from complex processes across many scales, making its accurate simulation in Earth system models (ESMs) challenging. Existing post-processing methods can improve ESM simulations locally, but cannot correct errors in…

Atmospheric and Oceanic Physics · Physics 2025-01-03 Philipp Hess , Markus Drüke , Stefan Petri , Felix M. Strnad , Niklas Boers

In this work we propose R-GPM, a parallel computing framework for graph pattern mining (GPM) through a user-defined subgraph relation. More specifically, we enable the computation of statistics of patterns through their subgraph classes,…

Machine Learning · Computer Science 2020-10-13 Carlos H. C. Teixeira , Leonardo Cotta , Bruno Ribeiro , Wagner Meira

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

Machine Learning · Computer Science 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

Bayesian nonparametric mixtures and random partition models are powerful tools for probabilistic clustering. However, standard independent mixture models can be restrictive in some applications such as inference on cell lineage due to the…

Methodology · Statistics 2025-07-15 Giovanni Rebaudo , Peter Mueller
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