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[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] [SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology Antarctic soil ecosystems Antarctica Data assimilation GeoChip microarray PhyloChip microarray [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS] [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA] [INFO.INFO-NE]Computer Science [cs]/Neural and Evolutionary Computing [cs.NE] bed inference microbial community structure microbial diversity reduced flow model surface data Variational data assimilation [SDE.BE]Environmental Sciences/Biodiversity and Ecology [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] deep learning glaciers inference topography Aircraft trajectory optimization North Atlantic oceanic airspace [INFO.INFO-BI]Computer Science [cs]/Bioinformatics [q-bio.QM] [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] [MATH]Mathematics [math] [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] [SDV]Life Sciences [q-bio] adjoint method