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Sparse Discrete Empirical Interpolation Method (S-DEIM) was recently proposed for state estimation in dynamical systems when only a sparse subset of the state variables can be observed. The S-DEIM estimate involves a kernel vector whose…

Dynamical Systems · Mathematics 2026-02-02 Mohammad Farazmand

Discrete empirical interpolation method (DEIM) estimates a function from its incomplete pointwise measurements. Unfortunately, DEIM suffers large interpolation errors when few measurements are available. Here, we introduce Sparse DEIM…

Numerical Analysis · Mathematics 2024-09-04 Mohammad Farazmand

Sea surface temperature (SST) is an essential climate variable that can be measured via ground truth, remote sensing, or hybrid model methodologies. Here, we celebrate SST surveillance progress via the application of a few relevant…

Atmospheric and Oceanic Physics · Physics 2023-06-19 Albert Larson , Ali Shafqat Akanda

Satellite-based remote sensing missions have revolutionized our understanding of the Ocean state and dynamics. Among them, space-borne altimetry provides valuable Sea Surface Height (SSH) measurements, used to estimate surface geostrophic…

Machine Learning · Computer Science 2024-05-07 Theo Archambault , Arthur Filoche , Anastase Charantonis , Dominique Bereziat , Sylvie Thiria

The sea surface temperature (SST), a key environmental parameter, is crucial to optimizing production planning, making its accurate prediction a vital research topic. However, the inherent nonlinearity of the marine dynamic system presents…

Machine Learning · Computer Science 2025-04-25 Yin Wang , Chunlin Gong , Xiang Wu , Hanleran Zhang

Accurate reconstruction of ocean is essential for reflecting global climate dynamics and supporting marine meteorological research. Conventional methods face challenges due to sparse data, algorithmic complexity, and high computational…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Yuanyi Song , Pumeng Lyu , Ben Fei , Fenghua Ling , Wanli Ouyang , Lei Bai

Sea Surface Temperature (SST) is crucial for understanding upper-ocean thermal dynamics and ocean-atmosphere interactions, which have profound economic and social impacts. While data-driven models show promise in SST prediction, their…

Machine Learning · Computer Science 2025-11-11 Zheng Jiang , Wei Wang , Gaowei Zhang , Yi Wang

Accurate reconstruction of global Sea surface temperature (SST), which dominates the air-sea coupling and global climate variability, underpins climate monitoring and prediction. Existing SST reconstruction products primarily provide one…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Haijie Li , Ya Wang , Kai Yang , Gang Huang , Xiangao Xia , Ziming Chen , Weichen Tao , Chenglin Lyu , Lin Chen , Miao Zhang , Kaiming Hu , Hainan Gong , Disong Fu , Lin Wang

Satellite sea surface temperature (SST) products underpin global coral bleaching monitoring, yet they measure only the ocean skin. Corals inhabit depths from the shallows to beyond 20 metres, where temperatures can be 1-3{\deg}C cooler than…

Machine Learning · Computer Science 2026-04-16 Alzayat Saleh , Mostafa Rahimi Azghadi

Sea Surface Temperature (SST) reconstructions from satellite images affected by cloud gaps have been extensively documented in the past three decades. Here we describe several Machine Learning models to fill the cloud-occluded areas…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Andrea Asperti , Ali Aydogdu , Angelo Greco , Fabio Merizzi , Pietro Miraglio , Beniamino Tartufoli , Alessandro Testa , Nadia Pinardi , Paolo Oddo

For over 40 years, remote sensing observations of the Earth's oceans have yielded global measurements of sea surface temperature (SST). With a resolution of approximately 1km, these data trace physical processes like western boundary…

Atmospheric and Oceanic Physics · Physics 2023-03-23 J. Xavier Prochaska , Erdong Guo , Peter C. Cornillon , Christian E. Buckingham

This letter adopts long short-term memory(LSTM) to predict sea surface temperature(SST), which is the first attempt, to our knowledge, to use recurrent neural network to solve the problem of SST prediction, and to make one week and one…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Qin Zhang , Hui Wang , Junyu Dong , Guoqiang Zhong , Xin Sun

The reconstruction of ocean subsurface temperature (OST) using satellite remote sensing data holds significant scientific value for advancing the understanding of ocean dynamics and climate variability. However, the scarcity of subsurface…

Atmospheric and Oceanic Physics · Physics 2026-05-05 Ming Shan Loo , Wengen Li , Xudong Jiang , Hailiang Cheng , Zhifei Zhang , Jihong Guan , Yichao Zhang

In this work, we estimate extreme sea surface temperature (SST) hotspots, i.e., high threshold exceedance regions, for the Red Sea, a vital region of high biodiversity. We analyze high-resolution satellite-derived SST data comprising daily…

Applications · Statistics 2020-10-20 Arnab Hazra , Raphaël Huser

Discrete Empirical Interpolation Method (DEIM) is a simple and effective method for reconstructing a function from its incomplete pointwise observations. However, applying DEIM to functions with physically constrained ranges can produce…

Numerical Analysis · Mathematics 2025-09-22 Louisa B. Ebby , Mohammad Farazmand

Many real-world applications rely on land surface temperature (LST) data at high spatiotemporal resolution. In complex urban areas, LST exhibits significant variations, fluctuating dramatically within and across city blocks. Landsat…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Shengjie Liu , Siqin Wang , Lu Zhang

Due to the irregular space-time sampling of sea surface observations, the reconstruction of sea surface dynamics is a challenging inverse problem. While satellite altimetry provides a direct observation of the sea surface height (SSH),…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Ronan Fablet , Quentin Febvre , Bertrand Chapron

Reconstructing high-dimensional spatiotemporal fields from sparse point-sensor measurements is a central challenge in learning parametric PDE dynamics. Existing approaches often struggle to generalize across trajectories and parameter…

Machine Learning · Computer Science 2026-02-05 Yanjie Tong , Peng Chen

Sea surface temperature (SST) variability plays a key role in the global weather and climate system, with phenomena such as El Ni\~{n}o-Southern Oscillation regarded as a major source of interannual climate variability at the global scale.…

Atmospheric and Oceanic Physics · Physics 2022-02-22 John Taylor , Ming Feng

The discrete empirical interpolation method (DEIM) is a well-established approach, widely used for state reconstruction using sparse sensor/measurement data, nonlinear model reduction, and interpretable feature selection. We introduce the…

Numerical Analysis · Mathematics 2024-10-21 Sridhar Chellappa , Lihong Feng , Peter Benner
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