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Paper · arXiv

Christoffel-DPS: Optimal sensor placement in diffusion posterior sampling for arbitrary distributions

State estimation is a critical task in scientific, engineering and control applications. Since the reliability of reconstructions depends on the number and position of sensors, optimal sensor placement (OSP) is essential in scenarios where measurements are sparse and expensive. Classical OSP approaches rely on Gaussian assumptions and are consequently unable to account for the complex distributions encountered in many real-world systems. Generative-model-based reconstruction using sensor guided diffusion posterior sampling (DPS) has emerged as a promising technique for reconstructing states from highly complex distributions. However, existing sensor-selection methods either require unreal...

AuthorsJames Rowbottom, Nick Huang, Carola-Bibiane Schönlieb et al.
Primary categorycs.LG
Published7 May 2026
Last updated at source7 May 2026
cs.LGmath.NA
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