Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature

The forecasting and reconstruction of oceanic dynamics is a crucial challenge. While model driven strategies are still the state-of-the-art approaches in the reconstruction of spatio-temporal dynamics. The ever increasing availability of data collections in oceanography raised the relevance of data-...

Full description

Bibliographic Details
Main Authors: Said Ouala, Ronan Fablet, Cédric Herzet, Bertrand Chapron, Ananda Pascual, Fabrice Collard, Lucile Gaultier
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/10/12/1864
_version_ 1818083417281003520
author Said Ouala
Ronan Fablet
Cédric Herzet
Bertrand Chapron
Ananda Pascual
Fabrice Collard
Lucile Gaultier
author_facet Said Ouala
Ronan Fablet
Cédric Herzet
Bertrand Chapron
Ananda Pascual
Fabrice Collard
Lucile Gaultier
author_sort Said Ouala
collection DOAJ
description The forecasting and reconstruction of oceanic dynamics is a crucial challenge. While model driven strategies are still the state-of-the-art approaches in the reconstruction of spatio-temporal dynamics. The ever increasing availability of data collections in oceanography raised the relevance of data-driven approaches as computationally efficient representations of spatio-temporal fields reconstruction. This tools proved to outperform classical state-of-the-art interpolation techniques such as optimal interpolation and DINEOF in the retrievement of fine scale structures while still been computationally efficient comparing to model based data assimilation schemes. However, coupling this data-driven priors to classical filtering schemes limits their potential representativity. From this point of view, the recent advances in machine learning and especially neural networks and deep learning can provide a new infrastructure for dynamical modeling and interpolation within a data-driven framework. In this work we adress this challenge and develop a novel Neural-Network-based (NN-based) Kalman filter for spatio-temporal interpolation of sea surface dynamics. Based on a data-driven probabilistic representation of spatio-temporal fields, our approach can be regarded as an alternative to classical filtering schemes such as the ensemble Kalman filters (EnKF) in data assimilation. Overall, the key features of the proposed approach are two-fold: (i) we propose a novel architecture for the stochastic representation of two dimensional (2D) geophysical dynamics based on a neural networks, (ii) we derive the associated parametric Kalman-like filtering scheme for a computationally-efficient spatio-temporal interpolation of Sea Surface Temperature (SST) fields. We illustrate the relevance of our contribution for an OSSE (Observing System Simulation Experiment) in a case-study region off South Africa. Our numerical experiments report significant improvements in terms of reconstruction performance compared with operational and state-of-the-art schemes (e.g., optimal interpolation, Empirical Orthogonal Function (EOF) based interpolation and analog data assimilation).
first_indexed 2024-12-10T19:37:40Z
format Article
id doaj.art-c43a69e6a8cf4d4189e734f0fa75f9f5
institution Directory Open Access Journal
issn 2072-4292
language English
last_indexed 2024-12-10T19:37:40Z
publishDate 2018-11-01
publisher MDPI AG
record_format Article
series Remote Sensing
spelling doaj.art-c43a69e6a8cf4d4189e734f0fa75f9f52022-12-22T01:36:06ZengMDPI AGRemote Sensing2072-42922018-11-011012186410.3390/rs10121864rs10121864Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface TemperatureSaid Ouala0Ronan Fablet1Cédric Herzet2Bertrand Chapron3Ananda Pascual4Fabrice Collard5Lucile Gaultier6IMT Atlantique, Lab-STICC, UBL, 29280 Brest, FranceIMT Atlantique, Lab-STICC, UBL, 29280 Brest, FranceIMT Atlantique, Lab-STICC, UBL, 29280 Brest, FranceIfremer, LOPS, 29280 Brest, FranceIMEDEA, UIB-CSIC, 07190 Esporles, SpainODL, 29280 Brest, FranceODL, 29280 Brest, FranceThe forecasting and reconstruction of oceanic dynamics is a crucial challenge. While model driven strategies are still the state-of-the-art approaches in the reconstruction of spatio-temporal dynamics. The ever increasing availability of data collections in oceanography raised the relevance of data-driven approaches as computationally efficient representations of spatio-temporal fields reconstruction. This tools proved to outperform classical state-of-the-art interpolation techniques such as optimal interpolation and DINEOF in the retrievement of fine scale structures while still been computationally efficient comparing to model based data assimilation schemes. However, coupling this data-driven priors to classical filtering schemes limits their potential representativity. From this point of view, the recent advances in machine learning and especially neural networks and deep learning can provide a new infrastructure for dynamical modeling and interpolation within a data-driven framework. In this work we adress this challenge and develop a novel Neural-Network-based (NN-based) Kalman filter for spatio-temporal interpolation of sea surface dynamics. Based on a data-driven probabilistic representation of spatio-temporal fields, our approach can be regarded as an alternative to classical filtering schemes such as the ensemble Kalman filters (EnKF) in data assimilation. Overall, the key features of the proposed approach are two-fold: (i) we propose a novel architecture for the stochastic representation of two dimensional (2D) geophysical dynamics based on a neural networks, (ii) we derive the associated parametric Kalman-like filtering scheme for a computationally-efficient spatio-temporal interpolation of Sea Surface Temperature (SST) fields. We illustrate the relevance of our contribution for an OSSE (Observing System Simulation Experiment) in a case-study region off South Africa. Our numerical experiments report significant improvements in terms of reconstruction performance compared with operational and state-of-the-art schemes (e.g., optimal interpolation, Empirical Orthogonal Function (EOF) based interpolation and analog data assimilation).https://www.mdpi.com/2072-4292/10/12/1864data assimilationdynamical modelKalman filterneural networksdata-driven modelsinterpolation
spellingShingle Said Ouala
Ronan Fablet
Cédric Herzet
Bertrand Chapron
Ananda Pascual
Fabrice Collard
Lucile Gaultier
Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
Remote Sensing
data assimilation
dynamical model
Kalman filter
neural networks
data-driven models
interpolation
title Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
title_full Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
title_fullStr Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
title_full_unstemmed Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
title_short Neural Network Based Kalman Filters for the Spatio-Temporal Interpolation of Satellite-Derived Sea Surface Temperature
title_sort neural network based kalman filters for the spatio temporal interpolation of satellite derived sea surface temperature
topic data assimilation
dynamical model
Kalman filter
neural networks
data-driven models
interpolation
url https://www.mdpi.com/2072-4292/10/12/1864
work_keys_str_mv AT saidouala neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT ronanfablet neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT cedricherzet neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT bertrandchapron neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT anandapascual neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT fabricecollard neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature
AT lucilegaultier neuralnetworkbasedkalmanfiltersforthespatiotemporalinterpolationofsatellitederivedseasurfacetemperature