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In this paper we present XNICER, an optimized multi-band extinction techniquebased on the extreme deconvolution of the intrinsic colors of objects observedthrough a molecular cloud. XNICER follows a rigorous statistical approach andprovides the full Bayesian inference of the extinction for each observedobject. Photometric errors in both the training control field and in thescience field are properly taken into account. XNICER improves over the knownextinction methods and is computationally fast enough to be used on largedatasets of objects. Our tests and simulations show that this method is able toreduce the noise associated with extinction measurements by a factor 2 withrespect to the previous NICER algorithm, and it has no evident bias even athigh extinctions.

Optimal extinction measurements - I. Single-object extinction inference