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Deep learning has been successfully applied to precipitation nowcasting. In this work, we propose a pre-training scheme and a new loss function for improving deep-learning-based nowcasting. First, we adapt U-Net, a widely-used deep-learning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Jihoon Ko , Kyuhan Lee , Hyunjin Hwang , Seok-Geun Oh , Seok-Woo Son , Kijung Shin

Deep generative models are commonly used for generating images and text. Interpretability of these models is one important pursuit, other than the generation quality. Variational auto-encoder (VAE) with Gaussian distribution as prior has…

Machine Learning · Computer Science 2020-08-24 Wenxian Shi , Hao Zhou , Ning Miao , Lei Li

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

In machine learning forecasting, standard error metrics such as mean absolute error (MAE) and mean squared error (MSE) quantify discrepancies between predictions and target values. However, these metrics do not directly evaluate the…

Machine Learning · Computer Science 2025-04-17 Zhou Fang , Gianmarco Mengaldo

Precipitation nowcasting, predicting future radar echo sequences from current observations, is a critical yet challenging task due to the inherently chaotic and tightly coupled spatio-temporal dynamics of the atmosphere. While recent…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Thao Nguyen , Jiaqi Ma , Fahad Shahbaz Khan , Souhaib Ben Taieb , Salman Khan

Sensors provide a vital source of data that link digital systems with the physical world. However, as sensors age, the relationship between what they measure and what they output changes. This is known as sensor drift and poses a…

Signal Processing · Electrical Eng. & Systems 2025-06-12 Aaron Hurst , Andrey V. Kalinichev , Klaus Koren , Daniel E. Lucani

We adopt Gaussian Processes (GPs) as latent functions for probabilistic forecasting of intermittent time series. The model is trained in a Bayesian framework that accounts for the uncertainty about the latent function. We couple the latent…

Machine Learning · Statistics 2026-01-28 Stefano Damato , Dario Azzimonti , Giorgio Corani

The Tweedie GLM is a widely used method for predicting insurance premiums. However, the structure of the logarithmic mean is restricted to a linear form in the Tweedie GLM, which can be too rigid for many applications. As a better…

Methodology · Statistics 2016-04-22 Yi Yang , Wei Qian , Hui Zou

Rain is one of the most common weather which can completely degrade the image quality and interfere with the performance of many computer vision tasks, especially under heavy rain conditions. We observe that: (i) rain is a mixture of rain…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Yiyang Shen , Yongzhen Wang , Mingqiang Wei , Honghua Chen , Haoran Xie , Gary Cheng , Fu Lee Wang

Despite the simplicity and intuitive interpretation of Minimum Mean Squared Error (MMSE) estimators, their effectiveness in certain scenarios is questionable. Indeed, minimizing squared errors on average does not provide any form of…

Optimization and Control · Mathematics 2019-12-09 Dionysios S. Kalogerias , Luiz F. O. Chamon , George J. Pappas , Alejandro Ribeiro

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

Optimization and Control · Mathematics 2025-03-14 Ji Li , Chao Wang

Machine learning models trained on Earth observation data, such as satellite imagery, have demonstrated significant promise in predicting household-level wealth indices, enabling the creation of high-resolution wealth maps that can be…

Machine Learning · Statistics 2025-12-16 Markus B. Pettersson , Connor T. Jerzak , Adel Daoud

Maximum entropy reinforcement learning (MaxEnt-RL) has become the standard approach to RL due to its beneficial exploration properties. Traditionally, policies are parameterized using Gaussian distributions, which significantly limits their…

Machine Learning · Computer Science 2025-06-11 Onur Celik , Zechu Li , Denis Blessing , Ge Li , Daniel Palenicek , Jan Peters , Georgia Chalvatzaki , Gerhard Neumann

Accurate rainfall forecasting is crucial for effective disaster preparedness and mitigation in the North-East region of India, which is prone to extreme weather events such as floods and landslides. In this study, we investigated the use of…

Machine Learning · Computer Science 2023-09-19 Paleti Nikhil Chowdary , Sathvika P , Pranav U , Rohan S , Sowmya V , Gopalakrishnan E A , Dhanya M

Deep learning has emerged as a promising tool for precipitation downscaling. However, current models rely on likelihood-based loss functions to properly model the precipitation distribution, leading to spatially inconsistent projections…

Atmospheric and Oceanic Physics · Physics 2024-08-02 Jose González-Abad

Deep learning models for precipitation forecasting often function as black boxes, limiting their adoption in real-world weather prediction. To enhance transparency while maintaining accuracy, we developed an interpretable deep learning…

Machine Learning · Computer Science 2025-11-17 Tanmay Ghosh , Shaurabh Anand , Rakesh Gomaji Nannewar , Nithin Nagaraj

Graphical models are a framework for representing and exploiting prior conditional independence structures within distributions using graphs. In the Gaussian case, these models are directly related to the sparsity of the inverse covariance…

Statistics Theory · Mathematics 2015-10-28 Ami Wiesel , Yonina C. Eldar , Alfred O. Hero

The James-Stein estimator's dominance over maximum likelihood in terms of mean square error (MSE) has been one of the most celebrated results in modern statistics, suggesting that biased estimators can systematically outperform unbiased…

Statistics Theory · Mathematics 2025-08-12 Paul W. Vos

Precipitation data collected at sub-hourly resolution represents specific challenges for missing data recovery by being largely stochastic in nature and highly unbalanced in the duration of rain vs non-rain. Here we present a two-step…