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There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warming becomes more intense. However,…

Numerical Weather Prediction (NWP) has advanced significantly in recent decades but still faces challenges in accuracy, computational efficiency, and scalability. Data-driven weather models have shown great promise, sometimes surpassing…

Atmospheric and Oceanic Physics · Physics 2025-03-18 Animesh Choudhury , Jagabandhu Panda

Commercial Microwave Links (CMLs) offer dense spatial coverage for rainfall sensing but produce path-integrated measurements that make accurate ground-level reconstruction challenging. Existing methods typically oversimplify CMLs as point…

Machine Learning · Computer Science 2026-05-08 Badr Moufad , Albina Ilina , Hai Victor Habi , Salem Lahlou , Yazid Janati , Hagit Messer , Eric Moulines

This paper presents a deep learning architecture for nowcasting of precipitation almost globally every 30 min with a 4-hour lead time. The architecture fuses a U-Net and a convolutional long short-term memory (LSTM) neural network and is…

Machine Learning · Computer Science 2024-02-06 Reyhaneh Rahimi , Praveen Ravirathinam , Ardeshir Ebtehaj , Ali Behrangi , Jackson Tan , Vipin Kumar

The use of solar photovoltaics (PV) energy provides additional resources to the electric power grid. The downside of this integration is that the solar power supply is unreliable and highly dependent on the weather condition. The…

Signal Processing · Electrical Eng. & Systems 2021-10-20 S. Sarp , M. Kuzlu , U. Cali , O. Elma , O. Guler

The minimum error entropy (MEE) criterion has been verified as a powerful approach for non-Gaussian signal processing and robust machine learning. However, the implementation of MEE on robust classification is rather a vacancy in the…

Machine Learning · Computer Science 2025-08-07 Yuanhao Li , Badong Chen , Natsue Yoshimura , Yasuharu Koike

Practical diffusion sampling is a numerical approximation problem: under a fixed inference budget, one must simulate a reverse-time ODE or SDE using only a limited number of denoising steps, so discretization error is often the dominant…

Machine Learning · Computer Science 2026-05-12 Samuel Hurault , Thomas Moreau , Gabriel Peyré

Diffusion models achieve state-of-the-art generation quality across many applications, but their ability to capture rare or extreme events in heavy-tailed distributions remains unclear. In this work, we show that traditional diffusion and…

Machine Learning · Computer Science 2024-10-30 Kushagra Pandey , Jaideep Pathak , Yilun Xu , Stephan Mandt , Michael Pritchard , Arash Vahdat , Morteza Mardani

Computational fluid dynamics (CFD) simulations are crucial in automotive, aerospace, maritime and medical applications, but are limited by the complexity, cost and computational requirements of directly calculating the flow, often taking…

Machine Learning · Computer Science 2024-11-27 Zachary Cooper-Baldock , Paulo E. Santos , Russell S. A. Brinkworth , Karl Sammut

Global Positioning System (GPS) derived precipitable water vapor (PWV) is extensively being used in atmospheric remote sensing for applications like rainfall prediction. Many applications require PWV values with good resolution and without…

Atmospheric and Oceanic Physics · Physics 2019-03-18 Shilpa Manandhar , Soumyabrata Dev , Yee Hui Lee , Stefan Winkler

The most important aspect of any classifier is its error rate, because this quantifies its predictive capacity. Thus, the accuracy of error estimation is critical. Error estimation is problematic in small-sample classifier design because…

Machine Learning · Statistics 2013-11-13 Amin Zollanvari , Edward R. Dougherty

Accurate short range weather forecasting has significant implications for various sectors. Machine learning based approaches, e.g., deep learning, have gained popularity in this domain where the existing numerical weather prediction (NWP)…

Obtaining high-resolution maps of precipitation data can provide key insights to stakeholders to assess a sustainable access to water resources at urban scale. Mapping a nonstationary, sparse process such as precipitation at very high…

Applications · Statistics 2023-02-08 Jiachen Zhang , Matthew Bonas , Diogo Bolster , Geir-Arne Fuglstad , Stefano Castruccio

Robust sensing and perception in adverse weather conditions remain one of the biggest challenges for realizing reliable autonomous vehicle mobility services. Prior work has established that rainfall rate is a useful measure for the…

Signal Processing · Electrical Eng. & Systems 2022-04-26 Robin Karlsson , David Robert Wong , Kazunari Kawabata , Simon Thompson , Naoki Sakai

Long-Short-Term-Memory (LSTM) networks have been used extensively for time series forecasting in recent years due to their ability of learning patterns over different periods of time. In this paper, this ability is applied to learning the…

Signal Processing · Electrical Eng. & Systems 2020-06-30 Mayank Jain , Shilpa Manandhar , Yee Hui Lee , Stefan Winkler , Soumyabrata Dev

In limited-data settings, a single endpoint mean of an evaluation metric such as the Continuous Ranked Probability Score (CRPS) is itself a random variable, yet it is routinely reported as if it were a stable property of the method. We…

Machine Learning · Computer Science 2026-04-28 Qishi Zhan , Minxuan Hu , Liang He , Guansu Wang , Jiaxin Liu

Climate change exacerbates extreme weather events like heavy rainfall and flooding. As these events cause severe socioeconomic damage, accurate high-resolution simulation of precipitation is imperative. However, existing Earth System Models…

Geophysics · Physics 2026-02-03 Michael Aich , Philipp Hess , Baoxiang Pan , Sebastian Bathiany , Yu Huang , Niklas Boers

While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A practical example is the error in the radiative transfer model…

Methodology · Statistics 2016-11-17 John Harlim , Tyrus Berry

Generalized estimating equations (GEE) are widely used to analyze longitudinal data; however, they are not appropriate for heteroscedastic data, because they only estimate regressor effects on the mean response{\textemdash}and therefore do…

Methodology · Statistics 2020-12-29 Amadou Barry , Karim Oualkacha , Arthur Charpentier

Precipitation plays a critical role in the Earth's hydrological cycle, directly affecting ecosystems, agriculture, and water resource management. Accurate precipitation estimation and prediction are crucial for understanding climate…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Zhenyu Yu , Hanqing Chen , Mohd Yamani Idna Idris , Pei Wang