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Physics-based numerical models have been the bedrock of atmospheric sciences for decades, offering robust solutions but often at the cost of significant computational resources. Deep learning (DL) models have emerged as powerful tools in…

We applied a variety of parametric and non-parametric machine learning models to predict the probability distribution of rainfall based on 1M training examples over a single year across several U.S. states. Our top performing model based on…

Machine Learning · Computer Science 2016-08-09 Adam Lesnikowski

Deep learning models have achieved remarkable progress in precipitation prediction. However, they still face significant challenges in accurately capturing spatial details of radar images, particularly in regions of high precipitation…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Li Chaorong , Ling Xudong , Yang Qiang , Qin Fengqing , Huang Yuanyuan

In the backdrop of a revolution in weather prediction by Numerical Weather Prediction (NWP) models, quantitative prediction of intensity of heavy rainfall events and associated disasters has remained a challenge. Encouraged by compelling…

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

Applications · Statistics 2014-11-19 Yang Liu , Philip Kokic

Time-series forecasting often faces challenges due to data volatility, which can lead to inaccurate predictions. Variational Mode Decomposition (VMD) has emerged as a promising technique to mitigate volatility by decomposing data into…

Machine Learning · Computer Science 2024-09-05 Hafizh Raihan Kurnia Putra , Novanto Yudistira , Tirana Noor Fatyanosa

Reliable estimation of the raindrop size distribution (RSD) is important for applications including quantitative precipitation estimation, soil erosion modelling, and wind turbine blade erosion. While in situ instruments such as…

Atmospheric and Oceanic Physics · Physics 2026-02-03 R. J. Humphreys

Weather extremes produce major impacts on society and ecosystems and are likely to change in likelihood and magnitude with climate change. However, very low probability events are hard to characterize statistically using observations or…

Applications · Statistics 2026-04-28 Christopher J. Paciorek , Daniel Cooley

Deep Learning is becoming an increasingly important way to produce accurate hydrological predictions across a wide range of spatial and temporal scales. Uncertainty estimations are critical for actionable hydrological forecasting, and while…

The paper presents improved mathematical models and methods for statistical regularities in the behavior of some important characteristics of precipitation: duration of a wet period, maximum daily and total precipitation volumes within a…

Statistics Theory · Mathematics 2019-02-01 Victor Korolev , Andrey Gorshenin

Seasonal climate forecasts are commonly based on model runs from fully coupled forecasting systems that use Earth system models to represent interactions between the atmosphere, ocean, land and other Earth-system components. Recently,…

We formulate seasonal rainfall prediction as a reduced-order nonlinear forecasting problem, embedding coupled Indian-Pacific Ocean variability into a low-dimensional state space and projecting it forward using deep neural networks.…

Atmospheric and Oceanic Physics · Physics 2026-02-16 Stjepan Marcelja

Climate model evaluation plays a crucial role in ensuring the accuracy of climatological predictions. However, existing statistical evaluation methods often overlook time misalignment of events in a system's evolution, which can lead to a…

Methodology · Statistics 2025-04-29 Robert C. Garrett , Trevor Harris , Zhuo Wang , Bo Li

The stochastic differential equation (SDE)-based random process models of volatile renewable energy sources (RESs) jointly capture the evolving probability distribution and temporal correlation in continuous time. It has enabled recent…

Machine Learning · Computer Science 2023-12-12 Yiwei Qiu , Jin Lin , Zhipeng Zhou , Ningyi Dai , Feng Liu , Yonghua Song

The minimum density power divergence estimator (MDPDE) has gained significant attention in the literature of robust inference due to its strong robustness properties and high asymptotic efficiency; it is relatively easy to compute and can…

Statistics Theory · Mathematics 2025-09-16 Suryasis Jana , Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

We consider statistics of spatial averages estimated by weighting observations over an arbitrary spatial domain using identical and independent measuring devices, and derive an account of bias and variance in the presence of missing…

Methodology · Statistics 2025-03-17 Ashwin K Seshadri

Rainfall is an important variable to be able to monitor and forecast across Africa, due to its impact on agriculture, food security, climate related diseases and public health. Numerical Weather Models (NWM) are an important component of…

Extreme value theory is concerned with probabilistic and statistical questions related to very high or very low values in sequences of random variables and in stochastic processes. The subject has a rich mathematical theory and also a long…

Applications · Statistics 2014-03-31 Ali Saeb

Changing climate signals and the continuous world population growth requires proper hydrologic risk analysis to build and operate water resource infrastructures in a sustainable way. Although modernized computational facilities are becoming…

Pattern Formation and Solitons · Physics 2022-08-30 Victor Peñaranda , David Serrano , Mahesh Maskey

Accurately representing surface precipitation is crucial for the operational use of weather and climate models. Presently, global numerical weather prediction (NWP) models struggle to accurately generate precipitation due to their…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Raul Moreno , Dale Durran
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