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This paper introduces a new Bayesian approach to the inverse problem of passive microwave rainfall retrieval. The proposed methodology relies on a regularization technique and makes use of two joint dictionaries of coincidental rainfall…

Data Analysis, Statistics and Probability · Physics 2015-01-07 Ardeshir Mohammad Ebtehaj , Rafael Luis Bras , Efi Foufoula-Georgiou

Uncertainty in return level estimates for rare events, like the intensity of large rainfall events, makes it difficult to develop strategies to mitigate related hazards, like flooding. Latent spatial extremes models reduce uncertainty by…

Applications · Statistics 2018-12-27 Joshua Hewitt , Miranda J. Fix , Jennifer A. Hoeting , Daniel S. Cooley

Accurately tracking the global distribution and evolution of precipitation is essential for both research and operational meteorology. Satellite observations remain the only means of achieving consistent, global-scale precipitation…

Modeling the risk of extreme weather events in a changing climate is essential for developing effective adaptation and mitigation strategies. Although the available low-resolution climate models capture different scenarios, accurate risk…

Atmospheric and Oceanic Physics · Physics 2022-12-06 Anamitra Saha , Sai Ravela

Precipitation Nowcasting, which aims to predict precipitation within the next 0 to 6 hours, is critical for disaster mitigation and real-time response planning. However, most time series forecasting benchmarks in meteorology are evaluated…

Machine Learning · Computer Science 2025-11-05 Yifang Zhang , Shengwu Xiong , Henan Wang , Wenjie Yin , Jiawang Peng , Yuqiang Zhang , Chen Zhou , Hua Chen , Qile Zhao , Pengfei Duan

We show that rain events are analogous to a variety of nonequilibrium relaxation processes in Nature such as earthquakes and avalanches. Analysis of high-resolution rain data reveals that power laws describe the number of rain events versus…

Statistical Mechanics · Physics 2009-11-07 Ole Peters , Christopher Hertlein , Kim Christensen

Weather is a phenomenon that affects everything and everyone around us on a daily basis. Weather prediction has been an important point of study for decades as researchers have tried to predict the weather and climatic changes using…

Machine Learning · Computer Science 2022-03-14 Ishu Gupta , Harsh Mittal , Deepak Rikhari , Ashutosh Kumar Singh

Connected vehicles are poised to transform the field of environmental sensing by enabling acquisition of scientific data at unprecedented scales. Drawing on a real-world dataset collected from almost 70 connected vehicles, this study…

Signal Processing · Electrical Eng. & Systems 2018-06-29 Matthew Bartos , Hyongju Park , Tian Zhou , Branko Kerkez , Ramanarayan Vasudevan

Building on recent research for prediction of hurricane trajectories using recurrent neural networks (RNNs), we have developed improved methods and generalized the approach to predict Bayesian intervals in addition to simple point…

Applications · Statistics 2020-03-12 Max Chiswick , Sam Ganzfried

Transmission line outage rates are fundamental to power system reliability analysis. Line outages are infrequent, occurring only about once a year, so outage data are limited. We propose a Bayesian hierarchical model that leverages line…

Applications · Statistics 2020-01-24 Kai Zhou , James R. Cruise , Chris J. Dent , Ian Dobson , Louis Wehenkel , Zhaoyu Wang , Amy L. Wilson

Rainfall forecasting plays a critical role in climate adaptation, agriculture, and water resource management. This study develops long-term forecasts of monthly rainfall across 19 districts of West Bengal using a century-scale dataset…

Applications · Statistics 2025-12-30 Jishu Adhikary , Raju Maiti

Rain precipitation prediction is a challenging task as it depends on weather and meteorological features which vary from location to location. As a result, a prediction model that performs well at one location does not perform well at other…

Linear regression is common in astronomical analyses. I discuss a Bayesian hierarchical modeling of data with heteroscedastic and possibly correlated measurement errors and intrinsic scatter. The method fully accounts for time evolution.…

Instrumentation and Methods for Astrophysics · Physics 2015-10-12 Mauro Sereno

We present a stochastic mean-reverting jump-diffusion model to simulate rainfall time series and validate it using long-term half-hourly rain fall data from the North-East region of India. The model captures the intermittent and…

Statistical Mechanics · Physics 2026-04-10 Joya GhoshDastider , D. Pal , Pankaj Kumar Mishra

We propose a Bayesian hierarchical model for spatial extremes on a large domain. In the data layer a Gaussian elliptical copula having generalized extreme value (GEV) marginals is applied. Spatial dependence in the GEV parameters are…

Using lightning strikes as an example, two possible schemes are discussed for the attribution of changes in event frequency to climate change, and estimating the cost associated with them. The schemes determine the fraction of events that…

Applications · Statistics 2015-10-21 Anthony J. Webster

Floods are one of nature's most catastrophic calamities which cause irreversible and immense damage to human life, agriculture, infrastructure and socio-economic system. Several studies on flood catastrophe management and flood forecasting…

Climate change is intensifying rainfall extremes, making high-resolution precipitation projections crucial for society to better prepare for impacts such as flooding. However, current Global Climate Models (GCMs) operate at spatial…

Machine Learning · Computer Science 2024-12-20 Ran Lyu , Linhan Wang , Yanshen Sun , Hedanqiu Bai , Chang-Tien Lu

Recently, deep-learning weather forecasting models have surpassed traditional numerical models in terms of the accuracy of meteorological variables. However, there is considerable potential for improvements in precipitation forecasts,…

Atmospheric and Oceanic Physics · Physics 2024-11-20 Weiwen Ji , Jin Feng , Yueqi Liu , Yulu Qiu , Hua Gao

In this paper, we predict severity of extreme weather events (tropical storms, hurricanes, etc.) using buoy data time series variables such as wind speed and air temperature. The prediction/forecasting method is based on various forecasting…

Applications · Statistics 2019-11-21 Vikas Ramachandra