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Data assimilation method consists in combining all available pieces of information about a system to obtain optimal estimates of initial states. The different sources of information are weighted according to their accuracy by the means of…

Data Analysis, Statistics and Probability · Physics 2014-04-30 Angélique Ponçot , Jean-Philippe Argaud , Bertrand Bouriquet , Patrick Erhard , Serge Gratton , Olivier Thual

Data assimilation plays a crucial role in modern weather prediction, providing a systematic way to incorporate observational data into complex dynamical models. The paper addresses continuous data assimilation for a model arising as a…

Analysis of PDEs · Mathematics 2026-02-03 Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda

In the hydrology field, time series forecasting is crucial for efficient water resource management, improving flood and drought control and increasing the safety and quality of life for the general population. However, predicting long-term…

Machine Learning · Computer Science 2023-12-19 Yanhong Li , Jack Xu , David C. Anastasiu

Ensembles of variational data assimilations (EDA) require solving systems of linear equations with iterative methods. The solution process can be accelerated using a limited memory preconditioner constructed with approximations of the…

Numerical Analysis · Mathematics 2026-05-25 I. Daužickaitė , S. Gürol , M. Destouches , L. Berre , A. T. Weaver

Domain Adaptation (DA), the process of effectively adapting task models learned on one domain, the source, to other related but distinct domains, the targets, with no or minimal retraining, is typically accomplished using the process of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Behnam Gholami , Pritish Sahu , Minyoung Kim , Vladimir Pavlovic

Data augmentation (DA) is commonly used during model training, as it significantly improves test error and model robustness. DA artificially expands the training set by applying random noise, rotations, crops, or even adversarial…

Machine Learning · Computer Science 2019-05-09 Shashank Rajput , Zhili Feng , Zachary Charles , Po-Ling Loh , Dimitris Papailiopoulos

Data augmentation forms the cornerstone of many modern machine learning training pipelines; yet, the mechanisms by which it works are not clearly understood. Much of the research on data augmentation (DA) has focused on improving existing…

Machine Learning · Computer Science 2023-04-13 Damien A. Dablain , Nitesh V. Chawla

Data augmentation (DA) methods tailored to specific domains generate synthetic samples by applying transformations that are appropriate for the characteristics of the underlying data domain, such as rotations on images and time warping on…

Machine Learning · Computer Science 2024-06-18 Ilya Kaufman , Omri Azencot

The predominant approach in reinforcement learning is to assign credit to actions based on the expected return. However, we show that the return may depend on the policy in a way which could lead to excessive variance in value estimation…

Machine Learning · Computer Science 2023-02-07 Hsiao-Ru Pan , Nico Gürtler , Alexander Neitz , Bernhard Schölkopf

Ensemble data assimilation is a problem in determining the most likely phase space trajectory of a model of an observed dynamical sys- tem as it receives inputs from measurements passing information to the model. Using methods developed in…

Chaotic Dynamics · Physics 2015-05-13 Henry D. I. Abarbanel

We investigate the ability to discover data assimilation (DA) schemes meant for chaotic dynamics with deep learning. The focus is on learning the analysis step of sequential DA, from state trajectories and their observations, using a simple…

A non-intrusive data assimilation methodology is developed to improve the statistical predictions of large-eddy simulations (LES). The ensemble-variational (EnVar) approach aims to minimize a cost function that is defined as the discrepancy…

Fluid Dynamics · Physics 2021-09-28 Vincent Mons , Yifan Du , Tamer A. Zaki

Data assimilation involves estimating the state of a system by combining observations from various sources with a background estimate of the state. The weights given to the observations and background state depend on their specified error…

Numerical Analysis · Mathematics 2025-03-13 Olivier Goux , Anthony Weaver , Selime Gürol , Oliver Guillet , Andrea Piacentini

Data Attribution (DA) is an emerging approach in the field of eXplainable Artificial Intelligence (XAI), aiming to identify influential training datapoints which determine model outputs. It seeks to provide transparency about the model and…

Machine Learning · Computer Science 2025-12-22 Galip Ümit Yolcu , Moritz Weckbecker , Thomas Wiegand , Wojciech Samek , Sebastian Lapuschkin

Accurately forecasting the weather is a key requirement for climate change mitigation. Data-driven methods offer the ability to make more accurate forecasts, but lack interpretability and can be expensive to train and deploy if models are…

Atmospheric and Oceanic Physics · Physics 2020-12-02 Dominic J. Skinner , Romit Maulik

Errors in the representation of clouds in convection-permitting numerical weather prediction models can be introduced by different sources. These can be the forcing and boundary conditions, the representation of orography, the accuracy of…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Stefanie Legler , Tijana Janjic

Continuous data assimilation (CDA) is a method that continuously integrates observational data into a dynamical system to improve model accuracy in real-time. The AOT algorithm is one of the most widely used methods in CDA due to its…

Optimization and Control · Mathematics 2024-07-25 Ning Ning , Collin Victor

While data augmentation (DA) is generally applied to input data, several studies have reported that applying DA to hidden layers in neural networks, i.e., feature augmentation, can improve performance. However, in previous studies, the…

Machine Learning · Computer Science 2024-08-27 Tomoumi Takase , Ryo Karakida

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

Weather prediction is a quintessential problem involving the forecasting of a complex, nonlinear, and chaotic high-dimensional dynamical system. This work introduces an efficient reduced-order modeling (ROM) framework for short-range…

Machine Learning · Computer Science 2025-11-18 Amirpasha Hedayat , Karthik Duraisamy
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