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The purpose of this paper is to illustrate new techniques for computing multiday extreme precipitation taken from recent theoretical advancements in extreme value theory in the framework of dynamical systems, using historical precipitation…

Dynamical Systems · Mathematics 2024-03-18 Ruethaichanok Kardkasem , Meagan Carney

In recent years traditional numerical methods for accurate weather prediction have been increasingly challenged by deep learning methods. Numerous historical datasets used for short and medium-range weather forecasts are typically organized…

Machine Learning · Computer Science 2023-09-06 Andrea Asperti , Fabio Merizzi , Alberto Paparella , Giorgio Pedrazzi , Matteo Angelinelli , Stefano Colamonaco

The formation of precipitation in state-of-the-art weather and climate models is an important process. The understanding of its relationship with other variables can lead to endless benefits, particularly for the world's monsoon regions…

Atmospheric and Oceanic Physics · Physics 2021-08-25 Manmeet Singh , Bipin Kumar , Suryachandra Rao , Sukhpal Singh Gill , Rajib Chattopadhyay , Ravi S Nanjundiah , Dev Niyogi

During the night between 9 and 10 September 2017, multiple flash floods associated to a heavy-precipitation event affected the town of Livorno, located in Tuscany, Italy. Accumulated precipitation exceeding 200 mm in two hours, associated…

Atmospheric and Oceanic Physics · Physics 2021-05-03 Valerio Capecchi , Andrea Antonini , Riccardo Benedetti , Luca Fibbi , Samantha Melani , Luca Rovai , Antonio Ricchi , Diego Cerrai

We present a technique to adaptively bin sparse X-ray data using weighted Voronoi tesselations (WVTs). WVT binning is a generalisation of Cappellari & Copin's (2001) Voronoi binning algorithm, developed for integral field spectroscopy. WVT…

Astrophysics · Physics 2009-11-11 Steven Diehl , Thomas S. Statler

We propose a didactic approach to use the Machine Learning protocol in order to perform weather forecast. This study is motivated by the possibility to apply this method to predict weather conditions in proximity of the Etna and Stromboli…

Atmospheric and Oceanic Physics · Physics 2020-06-30 Marcello Raffaele , Maria Teresa Caccamo , Giuseppe Castorina , Gianmarco Munaò , Salvatore Magazù

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

Optimization and Control · Mathematics 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

In this article, we investigate vacuum leakage detection problems in composite manufacturing. Our approach uses Voronoi diagrams, a well-known structure in discrete geometry. The Voronoi diagram of the vacuum connection positions partitions…

Metric Geometry · Mathematics 2026-04-01 Christoph Brauer , Arne Hindersmann , Timo de Wolff

Rainfall prediction helps planners anticipate potential social and economic impacts produced by too much or too little rain. This research investigates a class-based approach to rainfall prediction from 1-30 days in advance. The study made…

Machine Learning · Computer Science 2020-07-31 Eslam A. Hussein , Mehrdad Ghaziasgar , Christopher Thron

Spatio-temporal forecasting is challenging attributing to the high nonlinearity in temporal dynamics as well as complex location-characterized patterns in spatial domains, especially in fields like weather forecasting. Graph convolutions…

Machine Learning · Computer Science 2021-12-14 Haitao Lin , Zhangyang Gao , Yongjie Xu , Lirong Wu , Ling Li , Stan. Z. Li

Global navigation satellite systems (GNSS) station-based Precipitation Nowcasting aims to predict rainfall within the next 0-6 hours by leveraging a GNSS station's historical observations of precipitation, GNSS-PWV, and related…

Machine Learning · Computer Science 2026-01-13 Yifang Zhang , Shengwu Xiong , Henan Wang , Wenjie Yin , Jiawang Peng , Duan Zhou , Yuqiang Zhang , Chen Zhou , Hua Chen , Qile Zhao , Pengfei Duan

Voronoi tessellations of scale-invariant fractal sets are characterized by topological and metrical properties that are significantly different from those of natural cellular structures. As an example we analyze Voronoi diagrams of…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen , Gudrun Schliecker

This paper investigates the optimization problem for TDoA-based UAV localization in low-altitude urban environments with hexagonal grid node deployment. We derive a lightweight optimized node selection strategy based on only RSSI…

Signal Processing · Electrical Eng. & Systems 2025-06-18 Zexin Fang , Bin Han , Wenwen Chen , Hans D. Schotten

Structured variational inference constitutes a core methodology in modern statistical applications. Unlike mean-field variational inference, the approximate posterior is assumed to have interdependent structure. We consider the natural…

Machine Learning · Statistics 2025-11-14 Shunan Sheng , Bohan Wu , Bennett Zhu , Sinho Chewi , Aram-Alexandre Pooladian

The generation of high-quality staggered unstructured grids is considered, leading to the development of a new optimisation-based strategy designed to construct weighted `Regular-Power' tessellations appropriate for co-volume type numerical…

Computational Geometry · Computer Science 2018-09-26 Darren Engwirda

Rainfall precipitation maps are usually derived based on the measurements collected by classical weather devices, such as rain gauges and weather stations. This article aims to show the benefits obtained by opportunistic rainfall…

Effective transport properties of heterogeneous structures are predicted by geometric microstructural parameters, but these can be difficult to calculate. Here, a boundary element code with a recurrent series method accurately and…

Disordered Systems and Neural Networks · Physics 2021-08-24 Matthew D. Arnold

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation. Such an approach combines in-situ gauge measurements with numerical hydrodynamic models to correct the hydraulic states and reduce…

Image and Video Processing · Electrical Eng. & Systems 2022-02-07 Thanh Huy Nguyen , Sophie Ricci , Christophe Fatras , Andrea Piacentini , Anthéa Delmotte , Emeric Lavergne , Peter Kettig

In order to predict future performance of subsurface fluid reservoirs under possible operating scenarios, a dynamic, porous-medium flow simulation model must be tuned to include representative properties of the reservoir. Estimating…

Geophysics · Physics 2026-02-04 Zhen Zhang , Xuebin Zhao , Andrew Curtis

Identifying Blaschke-Santal\'o diagrams is an important topic that essentially consists in determining the image $Y=F(X)$ of a map $F:X\to{\mathbb{R}}^d$, where the dimension of the source space $X$ is much larger than the one of the target…

Numerical Analysis · Mathematics 2023-02-02 Beniamin Bogosel , Giuseppe Buttazzo , Edouard Oudet