  The detection of X-ray emission constitutes a reliable and efficient tool for
the selection of Active Galactic Nuclei (AGNs), although it may be biased
against the most heavily absorbed AGNs. Simple mid-IR broad-band selection
criteria identify a large number of luminous and absorbed AGNs, yet again host
contamination could lead to non-uniform and incomplete samples. Spectral Energy
Distribution (SED) decomposition is able to decouple the emission from the AGN
versus that from star-forming regions, revealing weaker AGN components. We aim
to identify the obscured AGN population in the VIPERS survey in the CFHTLS W1
field through SED modelling. We construct SEDs for 6,860 sources and identify
160 AGNs at a high confidence level using a Bayesian approach. Using optical
spectroscopy, we confirm the nature of ~85% of the AGNs. Our AGN sample is
highly complete (~92%) compared to mid-IR colour selected AGNs, including a
significant number of galaxy-dominated systems with lower luminosities. In
addition to the lack of X-ray emission (80%), the SED fitting results suggest
that the majority of the sources are obscured. We use a number of diagnostic
criteria in the optical, infrared and X-ray regime to verify these results.
Interestingly, only 35% of the most luminous mid-IR selected AGNs have X-ray
counterparts suggesting strong absorption. Our work emphasizes the importance
of using SED decomposition techniques to select a population of type II AGNs,
which may remain undetected by either X-ray or IR colour surveys.
