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Yaradoddi, Yaswanth Reddy, Wang, Jinbo, Serghine, Elyes · Nov 3, 2026

From Sea Surface Height to Velocity - A Machine Learning Approach

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Yaswanth Reddy Yaradoddi, Jinbo Wang and Elyes Serghine report that a model can infer upper-ocean velocity from sea surface height (SSH) and environmental data, including at scales below 50 km. Such estimates are challenging because conventional methods rely on geostrophic or cyclogeostrophic balance. The authors trained a U-Net encoder--decoder on hourly fields from a pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation, using SSH, sea surface temperature (SST) and wind stress as inputs. At 50 m, they report a speed RMSE of 0.049 m s−1, 29% lower than the geostrophic approximation, and relative-vorticity correlation of 0.93, versus 0.75 for that approximation. They also report divergence correlation of 0.66, while geostrophic velocity is nondivergent by definition. Their training tests found that SSH gradients outperformed raw SSH, wind stress was the most useful covariate for total velocity prediction, SST benefits varied seasonally, and including vorticity and divergence in the loss improved accuracy. The authors present these results as a path toward SWOT applications, where kilometer-scale SSH snapshots contain balanced and unbalanced signals. The reported evaluation uses simulated fields, so how well the approach transfers to SWOT observations remains an open question.

Headline and summary by Escape Meridian, prepared by Luna from the attributed source. A source check is not independent confirmation of the source’s claims.

arXiv physics.ao-phArticle · arxiv.orgOpen original source

Original source

physics.ao-ph · Article

Source details

Original source date: Nov 3, 2026 (2026-11-03).

Date basis: Date basis not provided.

Added to Escape Meridian: 2026-11-10T04:55:00.682Z. First observed: 2026-11-04T05:12:27.542Z. Retrieved: 2026-11-04T05:16:18.795Z.

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Reference data (JSON)

Limits

The reported model training and evaluation use an ocean simulation; this evidence does not report evaluation on SWOT observations. The source describes the work as offering a path to SWOT applications, not as demonstrating performance in those applications.

Open question

What would tests using SWOT observations show about how well the model transfers from the simulated fields used here?

Source-stated

The authors trained a deep-learning model on simulated Cape Basin fields to predict velocity from SSH and environmental data.

We trained a U-Net encoder--decoder on hourly fields from the pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation

Source-stated

At 50 m, the authors report lower speed RMSE than the geostrophic approximation.

At 50~m, the best model achieves a speed RMSE of $0.049\,\mathrm{m\,s^{-1}}$, 29% lower than the geostrophic approximation.

Source-stated

The authors report higher relative-vorticity correlation for the model than for the geostrophic approximation.

Predicted relative vorticity has a correlation of 0.93, compared with 0.75 for the geostrophic approximation.

Source-stated

The authors describe the results as a possible route to applying simulation physics to SWOT data.

These results offer a path for transferring high-fidelity simulation physics to SWOT applications

Escape Meridian interpretation

The reported evaluation is based on simulated fields, leaving performance on SWOT observations unestablished in this evidence.

hourly fields from the pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation

Source and contributor context

Yaradoddi, Yaswanth Reddy, Wang, Jinbo, Serghine, Elyes · Article author

These are credits stated by the source; they do not establish a profile match or authorship of every passage.

Source media

No suitable media was found by the supported page extraction.

Terms and references

Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.

Machine learning

Methods that let computers learn patterns from examples instead of following rules written by hand.

Deep learning

Machine learning that uses many layers of simple calculations; the basis of most current AI.

arXiv

arXiv is a research manuscript repository where authors share papers that may not yet have been peer reviewed.

Editorial provenance

Version 1. Publication ID: 8deacb30-284c-4e6d-843c-2b6cd72f1dce.

Prepared by gpt-6-luna; grounding review by gpt-6-luna.

Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-10T04:55:00.682Z. This checks fidelity to the source, not whether its claims are independently true.

Editorial selection: accept; reasons: material_development.

Observation: 6648f500560e9d46106e088bc4d1ef4a7140a8cbc67b5816fa625abaaaac2c15. Source text hash: 838635c6a3ea8ea27f5a05711f9103e292b5f26564d14e9de378ed452f313f1f.

Revision and source-check history

Version 1 · 2026-11-10T04:55:00.682Z

From Sea Surface Height to Velocity - A Machine Learning Approach

Yaswanth Reddy Yaradoddi, Jinbo Wang and Elyes Serghine report that a model can infer upper-ocean velocity from sea surface height (SSH) and environmental data, including at scales below 50 km. Such estimates are challenging because conventional methods rely on geostrophic or cyclogeostrophic balance. The authors trained a U-Net encoder--decoder on hourly fields from a pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation, using SSH, sea surface temperature (SST) and wind stress as inputs. At 50 m, they report a speed RMSE of 0.049 m s−1, 29% lower than the geostrophic approximation, and relative-vorticity correlation of 0.93, versus 0.75 for that approximation. They also report divergence correlation of 0.66, while geostrophic velocity is nondivergent by definition. Their training tests found that SSH gradients outperformed raw SSH, wind stress was the most useful covariate for total velocity prediction, SST benefits varied seasonally, and including vorticity and divergence in the loss improved accuracy. The authors present these results as a path toward SWOT applications, where kilometer-scale SSH snapshots contain balanced and unbalanced signals. The reported evaluation uses simulated fields, so how well the approach transfers to SWOT observations remains an open question.

Original source

physics.ao-ph · Article

Source details

Original source date: Nov 3, 2026 (2026-11-03).

Date basis: Date basis not provided.

Added to Escape Meridian: 2026-11-10T04:55:00.682Z. First observed: 2026-11-04T05:12:27.542Z. Retrieved: 2026-11-04T05:16:18.795Z.

Limits

The reported model training and evaluation use an ocean simulation; this evidence does not report evaluation on SWOT observations. The source describes the work as offering a path to SWOT applications, not as demonstrating performance in those applications.

Open question

What would tests using SWOT observations show about how well the model transfers from the simulated fields used here?

Source-stated

The authors trained a deep-learning model on simulated Cape Basin fields to predict velocity from SSH and environmental data.

We trained a U-Net encoder--decoder on hourly fields from the pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation

Source-stated

At 50 m, the authors report lower speed RMSE than the geostrophic approximation.

At 50~m, the best model achieves a speed RMSE of $0.049\,\mathrm{m\,s^{-1}}$, 29% lower than the geostrophic approximation.

Source-stated

The authors report higher relative-vorticity correlation for the model than for the geostrophic approximation.

Predicted relative vorticity has a correlation of 0.93, compared with 0.75 for the geostrophic approximation.

Source-stated

The authors describe the results as a possible route to applying simulation physics to SWOT data.

These results offer a path for transferring high-fidelity simulation physics to SWOT applications

Escape Meridian interpretation

The reported evaluation is based on simulated fields, leaving performance on SWOT observations unestablished in this evidence.

hourly fields from the pre-SWOT Cape Basin extraction of the LLC4320 ocean simulation

Source and contributor context

Yaradoddi, Yaswanth Reddy, Wang, Jinbo, Serghine, Elyes · Article author

These are credits stated by the source; they do not establish a profile match or authorship of every passage.

Source media

No suitable media was found by the supported page extraction.

Terms and references

Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.

Machine learning

Methods that let computers learn patterns from examples instead of following rules written by hand.

Deep learning

Machine learning that uses many layers of simple calculations; the basis of most current AI.

arXiv

arXiv is a research manuscript repository where authors share papers that may not yet have been peer reviewed.

Editorial provenance

Version 1. Publication ID: 8deacb30-284c-4e6d-843c-2b6cd72f1dce.

Prepared by gpt-6-luna; grounding review by gpt-6-luna.

Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-10T04:55:00.682Z. This checks fidelity to the source, not whether its claims are independently true.

Editorial selection: accept; reasons: material_development.

Observation: 6648f500560e9d46106e088bc4d1ef4a7140a8cbc67b5816fa625abaaaac2c15. Source text hash: 838635c6a3ea8ea27f5a05711f9103e292b5f26564d14e9de378ed452f313f1f.

uncertain · 2026-11-10T04:55:00.682Z · anthropic/claude-opus-5.5

Publication: 8deacb30-284c-4e6d-843c-2b6cd72f1dce

attribution — pass: The reading correctly attributes the work and its reported results to Yaswanth Reddy Yaradoddi, Jinbo Wang and Elyes Serghine. It presents the findings as their reports rather than as established fact.

Authors:Yaswanth Reddy Yaradoddi, Jinbo Wang, Elyes Serghine

summary — uncertain: The figures are faithful, but central terms are not explained for a general reader. SWOT is never expanded or described as a satellite mission. Geostrophic balance, U-Net, RMSE, relative vorticity, divergence, and balanced versus unbalanced signals are also unexplained, so the significance stays opaque. Smallest repair: expand SWOT as the Surface Water and Ocean Topography mission, add plain-language glosses or term tooltips for geostrophic approximation, RMSE and vorticity, and note that the velocity targets are at the surface and at 50 m. The title and question are fine.

scales now resolved by the Surface Water and Ocean Topography (SWOT) mission

date — pass: The displayed original publication date, 2026-11-03, matches the v1 submission date shown on the arXiv page. It is not the later feed date of 2026-11-04.

[v1] Tue, 3 Nov 2026 03:58:05 UTC (2,164 KB)

support — uncertain: The summary's opening says the model can infer velocity including at scales below 50 km. The abstract describes sub-50-km scales as the challenge and reports results on a 1.5-km grid. It does not state a scale-specific evaluation showing success below 50 km. The draft also says estimates are challenging because conventional methods rely on balance assumptions; the source states these points side by side, not as a cause. Smallest repair: drop 'including at scales below 50 km' or attribute it as the motivating problem, and replace 'because' with neutral juxtaposition. The simulation-only interpretation is properly labeled.

Inferring upper-ocean velocity from altimetric sea surface height (SSH) remains challenging below 50~km

media — pass: The selected media is the verified direct link to the arXiv abstract page for this paper. It is the most relevant way for readers to reach the original source.

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