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Paper · arXiv

Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems

Source apportionment from sparse urban air-quality sensors is an inverse problem limited by sensor placement, wind-driven transport, background variation, and noise. Known or proxy emission inventories make attribution meaningful by restricting the unknown source field to a finite set of candidate groups, but do not guarantee those groups are distinguishable from the observations. We represent time-varying source activity with a low-dimensional nonnegative temporal basis and formulate inventory-based apportionment as a wind-conditioned lagged inverse problem in which each source--basis coefficient produces a sensor-time fingerprint. After projecting out a separate low-dimensional backgrou...

AuthorsAnkit Bhardwaj, Lakshminarayanan Subramanian
Primary categoryeess.SP
Published25 July 2026
Last updated at source25 July 2026
eess.SPcs.CEcs.LG
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