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Long-range geophysical forecasts are fundamentally limited by chaotic dynamics and numerical errors. While data assimilation can mitigate these issues, classical variational smoothers require computationally expensive tangent-linear and…

Machine Learning · Computer Science 2026-02-24 Phillip Si , Peng Chen

Data assimilation is a technique for increasing the accuracy of simulations of solutions to partial differential equations by incorporating observable data into the solution as time evolves. Recently, a promising new algorithm for data…

Analysis of PDEs · Mathematics 2018-12-06 Adam Larios , Collin Victor

High-fidelity, high-resolution numerical simulations are crucial for studying complex multiscale phenomena in fluid dynamics, such as turbulent flows and ocean waves. However, direct numerical simulations with high-resolution solvers are…

Numerical Analysis · Mathematics 2025-04-14 Wuzhe Xu , Yulong Lu , Lian Shen , Anqing Xuan , Ali Barzegari

Data-driven prediction and physics-agnostic machine-learning methods have attracted increased interest in recent years achieving forecast horizons going well beyond those to be expected for chaotic dynamical systems. In a separate strand of…

Data Analysis, Statistics and Probability · Physics 2021-05-19 Georg A. Gottwald , Sebastian Reich

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

Applications · Statistics 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

Diffusion-based models have achieved notable empirical successes in reinforcement learning (RL) due to their expressiveness in modeling complex distributions. Despite existing methods being promising, the key challenge of extending existing…

Machine Learning · Computer Science 2024-11-04 Dmitry Shribak , Chen-Xiao Gao , Yitong Li , Chenjun Xiao , Bo Dai

Prediction of chaotic systems relies on a floating fusion of sensor data (observations) with a numerical model to decide on a good system trajectory and to compensate nonlinear feedback effects. Ensemble-based data assimilation (DA) is a…

Computational Engineering, Finance, and Science · Computer Science 2020-11-26 Sebastian Friedemann , Bruno Raffin

High-resolution precipitation forecasts are crucial for providing accurate weather prediction and supporting effective responses to extreme weather events. Traditional numerical models struggle with stochastic subgrid-scale processes, while…

Machine Learning · Computer Science 2025-01-07 Shuangshuang He , Hongli Liang , Yuanting Zhang , Xingyuan Yuan

Domain Adaptation(DA) for dense prediction tasks is an important topic, which enhances the dense prediction model's performance when tested on its unseen domain. Recently, with the development of Diffusion-based Dense Prediction (DDP)…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Hang Xu , Jie Huang , Linjiang Huang , Dong Li , Yidi Liu , Feng Zhao

Domain Adaptation (DA) has recently received significant attention due to its potential to adapt a learning model across source and target domains with mismatched distributions. Since DA methods rely exclusively on the given source and…

Machine Learning · Statistics 2022-11-01 Akram S. Awad , George K. Atia

Four-dimensional variational data assimilation (4D-Var) on a seasonal-to-interdecadal time scale under the existence of unstable modes can be viewed as an optimization problem of synchronized, coupled chaotic systems. The problem is tackled…

Data Analysis, Statistics and Probability · Physics 2015-11-17 Nozomi Sugiura , Shuhei Masuda , Yosuke Fujii , Masafumi Kamachi , Yoichi Ishikawa , Toshiyuki Awaji

Due to storage and bandwidth limitations, videos transmitted over the Internet often exhibit low quality, characterized by low-resolution and compression artifacts. Although video super-resolution (VSR) is an efficient video enhancing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Hongyu An , Xinfeng Zhang , Shijie Zhao , Li Zhang , Ruiqin Xiong

Diffusion-based image super-resolution (SR) methods have shown promise in reconstructing high-resolution images with fine details from low-resolution counterparts. However, these approaches typically require tens or even hundreds of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Xiao He , Huaao Tang , Zhijun Tu , Junchao Zhang , Kun Cheng , Hanting Chen , Yong Guo , Mingrui Zhu , Nannan Wang , Xinbo Gao , Jie Hu

Diffusion-based Generative Models (DGMs) have achieved unparalleled performance in synthesizing high-quality visual content, opening up the opportunity to improve image super-resolution (SR) tasks. Recent solutions for these tasks often…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Ruibin Li , Qihua Zhou , Song Guo , Jie Zhang , Jingcai Guo , Xinyang Jiang , Yifei Shen , Zhenhua Han

Test-time adaptation harnesses test inputs to improve the accuracy of a model trained on source data when tested on shifted target data. Existing methods update the source model by (re-)training on each target domain. While effective,…

Machine Learning · Computer Science 2023-06-22 Jin Gao , Jialing Zhang , Xihui Liu , Trevor Darrell , Evan Shelhamer , Dequan Wang

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

Computation · Statistics 2020-07-01 Marius Appel , Edzer Pebesma

Diffusion models exhibit impressive scalability in robotic task learning, yet they struggle to adapt to novel, highly dynamic environments. This limitation primarily stems from their constrained replanning ability: they either operate at a…

Robotics · Computer Science 2025-07-16 Xi Ye , Rui Heng Yang , Jun Jin , Yinchuan Li , Amir Rasouli

Dynamical downscaling is crucial for deriving high-resolution meteorological fields from coarse-scale simulations, enabling detailed analysis for critical applications such as weather forecasting and renewable energy modeling. Generative…

Machine Learning · Computer Science 2025-10-16 Alessandro Brusaferri , Andrea Ballarino

Earth system modeling presents a fundamental challenge in scientific computing: capturing complex, multiscale nonlinear dynamics in computationally efficient models while minimizing forecast errors caused by necessary simplifications. Even…

Machine Learning · Computer Science 2025-08-04 Yongquan Qu , Matthieu Blanke , Sara Shamekh , Pierre Gentine

Deep-learning video super-resolution has progressed rapidly, but climate applications typically super-resolve (increase resolution) either space or time, and joint spatiotemporal models are often designed for a single pair of…

Machine Learning · Computer Science 2026-04-24 Max Defez , Filippo Quarenghi , Mathieu Vrac , Stephan Mandt , Tom Beucler