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Related papers: Prediction of Sunspot Cycles by Data Assimilation …

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Forecasting the strength of the sunspot cycle is highly important for many space weather applications. Our previous studies have shown the importance of sunspot number variability in the declining phase of the current 11-year sunspot cycle…

Solar and Stellar Astrophysics · Physics 2017-12-18 Tatiana Podladchikova , Ronald Van der Linden , Astrid M. Veronig

Data assimilation is concerned with sequentially estimating a temporally-evolving state. This task, which arises in a wide range of scientific and engineering applications, is particularly challenging when the state is high-dimensional and…

Machine Learning · Statistics 2021-07-21 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

The use of the spotless days to predict the future solar activity is here revised based on the new version of the sunspot number index with a 24-month filter. Data from Solar Cycle (SC) 10 are considered because from this solar cycle the…

Solar and Stellar Astrophysics · Physics 2017-11-15 V. M. S. Carrasco , J. M. Vaquero , M. C. Gallego

The dynamic activity of the Sun, governed by its cycle of sunspots -- strongly magnetized regions that are observed on its surface -- modulate our solar system space environment creating space weather. Severe space weather leads to…

Solar and Stellar Astrophysics · Physics 2020-05-26 Aleix Espuña-Fontcuberta , Saikat Chatterjee , Dhrubaditya Mitra , Dibyendu Nandy

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

We explore the potential of Data-Assimilation (DA) within the multi-scale framework of a shell model of turbulence, with a focus on the Ensemble Kalman Filter (EnKF). The central objective is to understand how measuring mesoscales (i.e.,…

Fluid Dynamics · Physics 2026-01-15 Francesco Fossella , Luca Biferale , Alberto Carrassi , Massimo Cencini , Vikrant Gupta

Having advanced knowledge of solar activity is important because the Sun's magnetic output governs space weather and impacts technologies reliant on space. However, the irregular nature of the solar cycle makes solar activity predictions a…

Solar and Stellar Astrophysics · Physics 2013-12-31 Dibyendu Nandy , Bidya Binay Karak

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

Methodology · Statistics 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

Context. Solar activity cycles vary in amplitude and duration. The variations can be at least partly explained by fluctuations in dynamo parameters. Aims. We want to restrict uncertainty in fluctuating dynamo parameters and find out which…

Solar and Stellar Astrophysics · Physics 2018-07-18 L. L. Kitchatinov , A. V. Mordvinov , A. A. Nepomnyashchikh

Accurate modeling and prediction of complex physical systems often rely on data assimilation techniques to correct errors inherent in model simulations. Traditional methods like the Ensemble Kalman Filter (EnKF) and its variants as well as…

Machine Learning · Computer Science 2024-09-12 Phillip Si , Peng Chen

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

Numerical Analysis · Mathematics 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

Data assimilation plays a pivotal role in understanding and predicting turbulent systems within geoscience and weather forecasting, where data assimilation is used to address three fundamental challenges, i.e., high-dimensionality,…

Atmospheric and Oceanic Physics · Physics 2025-01-23 Siming Liang , Hoang Tran , Feng Bao , Hristo G. Chipilski , Peter Jan van Leeuwen , Guannan Zhang

Sunspot number (SSN) is an important - albeit nuanced - parameter that can be used as an indirect measure of solar activity. Predictions of upcoming active intervals, including the peak and timing of solar maximum can have important…

Space Physics · Physics 2023-05-31 Pete Riley

Whether the upcoming cycle 24 of solar activity will be strong or not is being hotly debated. The solar cycle is produced by a complex dynamo mechanism. We model the last few solar cycles by `feeding' observational data of the Sun's polar…

Astrophysics · Physics 2008-11-26 Arnab Rai Choudhuri , Piyali Chatterjee , Jie Jiang

The so-called solar cycle is generally characterized by the quasi-periodic oscillatory evolution of the photospheric spots number. This quasi-periodic pattern has always been an intriguing question. Several physical models were proposed to…

Solar and Stellar Astrophysics · Physics 2015-05-14 Alexis Klutsch , Rubens Freire Ferrero

Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

Atmospheric and Oceanic Physics · Physics 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

Coupled data assimilation (CDA) distinctively appears as a main concern in numerical weather and climate prediction with major efforts put forward worldwide. The core issue is the scale separation acting as a barrier that hampers the…

Atmospheric and Oceanic Physics · Physics 2020-04-22 Maxime Tondeur , Alberto Carrassi , Stephane Vannitsem , Marc Bocquet

Data assimilation is a method of uncertainty quantification to estimate the hidden true state by updating the prediction owing to model dynamics with observation data. As a prediction model, we consider a class of nonlinear dynamical…

Statistics Theory · Mathematics 2026-03-05 Kota Takeda , Takashi Sakajo

The Sun exhibits a well-observed modulation in the number of spots on its disk over a period of about 11 years. From the dawn of modern observational astronomy sunspots have presented a challenge to understanding -- their quasi-periodic…

Solar and Stellar Astrophysics · Physics 2020-12-09 Scott W. McIntosh , Sandra C. Chapman , Robert J. Leamon , Ricky Egeland , Nicholas W. Watkins