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Modeling an unknown dynamical system is crucial in order to predict the future behavior of the system. A standard approach is training recurrent models on measurement data. While these models typically provide exact short-term predictions,…

Machine Learning · Computer Science 2023-03-02 Katharina Ensinger , Sebastian Ziesche , Barbara Rakitsch , Michael Tiemann , Sebastian Trimpe

The majority of data assimilation (DA) methods in the geosciences are based on Gaussian assumptions. While these assumptions facilitate efficient algorithms, they cause analysis biases and subsequent forecast degradations. Non-parametric,…

Methodology · Statistics 2025-05-12 Hristo G. Chipilski

The analysis of high-dimensional dynamical systems generally requires the integration of simulation data with experimental measurements. Experimental data often has substantial amounts of measurement noise that compromises the ability to…

Numerical Analysis · Mathematics 2019-10-02 Samuel Rudy , Steven Brunton , J. Nathan Kutz

Wall-bounded turbulent flows are chaotic and multiscale, rendering real-time prediction at high Reynolds numbers computationally prohibitive in applications such as wind farms. Classical data assimilation methods are based on repeated…

Fluid Dynamics · Physics 2026-05-25 Fabian Steinbrenner , Baris Turan , Hao Teng , Heng Xiao

Sparse sensor networks in weather and ocean modeling observe only a small fraction of the system state, which destabilizes standard nudging-based data assimilation. We introduce Interpolated Discrepancy Data Assimilation (IDDA), which…

Numerical Analysis · Mathematics 2025-11-03 Tong Wu , Humberto Godinez , Vitaliy Gyrya , James M. Hyman

Detectors often suffer from performance drop due to domain gap between training and testing data. Recent methods explore diffusion models applied to domain generalization (DG) and adaptation (DA) tasks, but still struggle with large…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Boyong He , Yuxiang Ji , Zhuoyue Tan , Liaoni Wu

Moving loads such as cars and trains are very useful sources of seismic waves, which can be analyzed to retrieve information on the seismic velocity of subsurface materials using the techniques of ambient noise seismology. This information…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Vincent Dumont , Verónica Rodríguez Tribaldos , Jonathan Ajo-Franklin , Kesheng Wu

How will the climate system respond to anthropogenic forcings? One approach to this question relies on climate model projections. Current climate projections are considerably uncertain. Characterizing and, if possible, reducing this…

Applications · Statistics 2014-08-01 Won Chang , Murali Haran , Roman Olson , Klaus Keller

The integration of multimodal data presents a challenge in cases when the study of a given phenomena by different instruments or conditions generates distinct but related domains. Many existing data integration methods assume a known…

Machine Learning · Statistics 2022-06-16 Andres F. Duque , Guy Wolf , Kevin R. Moon

This paper studies a coupled two-dimensional Navier--Stokes--Cahn--Hilliard phase-field model augmented by a transported auxiliary field, and develops a continuous data assimilation (CDA) framework for recovering its trajectories from…

Numerical Analysis · Mathematics 2026-03-11 Tianyu Sun

Accurate weather forecasting is critical for science and society. Yet, existing methods have not managed to simultaneously have the properties of high accuracy, low uncertainty, and high computational efficiency. On one hand, to quantify…

Machine Learning · Computer Science 2025-05-06 Jimeng Shi , Bowen Jin , Jiawei Han , Sundararaman Gopalakrishnan , Giri Narasimhan

Augmenting vision-language-action models (VLAs) with world models is promising for robotic policy learning but faces challenges in jointly predicting states and actions due to the modality gap. To address this, we propose DUal-STream…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 John Won , Kyungmin Lee , Huiwon Jang , Dongyoung Kim , Jinwoo Shin

Image reconstruction from radio-frequency data is pivotal in ultrafast plane wave ultrasound imaging. Unlike the conventional delay-and-sum (DAS) technique, which relies on somewhat imprecise assumptions, deep learning-based methods perform…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Hengrong Lan , Zhiqiang Li , Qiong He , Jianwen Luo

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation. Such an approach combines in-situ gauge measurements with numerical hydrodynamic models to correct the hydraulic states and reduce…

Image and Video Processing · Electrical Eng. & Systems 2022-02-07 Thanh Huy Nguyen , Sophie Ricci , Christophe Fatras , Andrea Piacentini , Anthéa Delmotte , Emeric Lavergne , Peter Kettig

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

Autonomous Driving (AD) systems exhibit markedly degraded performance under adverse environmental conditions, such as low illumination and precipitation. The underrepresentation of adverse conditions in AD datasets makes it challenging to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Yoel Shapiro , Yahia Showgan , Koustav Mullick

Variational Data Assimilation (DA) has been broadly used in engineering problems for field reconstruction and prediction by performing a weighted combination of multiple sources of noisy data. In recent years, the integration of deep…

Machine Learning · Computer Science 2023-10-26 Sibo Cheng , Che Liu , Yike Guo , Rossella Arcucci

This paper proposes the DnD Filter, a differentiable filter that utilizes diffusion models for state estimation of dynamic systems. Unlike conventional differentiable filters, which often impose restrictive assumptions on process noise…

Robotics · Computer Science 2026-01-13 Ziyu Wan , Lin Zhao

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

We introduce a data assimilation strategy aimed at accurately capturing key non-Gaussian structures in probability distributions using a small ensemble size. A major challenge in statistical forecasting of nonlinearly coupled multiscale…

Numerical Analysis · Mathematics 2025-04-01 Di Qi , Jian-Guo Liu