The ANTARES Neutrino Telescope can determine the arrival direction of a muonic High Energy Neutrino (HEN) with a precision well below $1^{\circ}$ above 1 TeV. The detection of such a HEN in coincidence with a Gravitational Wave (GW) event would then improve the localization of the GW source, facilitating the search for electromagnetic counterparts.
The results of such targeted HEN searches for the 3 GW events (GW150914, GW151226, both confirmed signals, and LVT151012, an event candidate) detected during the Observation Run O1 of Advanced LIGO in 2015-2016 are presented.
The principles of a sub-treshold analysis, which looks for time and space correlations between HEN detected by ANTARES or IceCube and GW candidates of low signal-to-noise ratio detected by LIGO during O1 are presented. The specific procedure optimized to select HEN candidates in ANTARES data is emphasized.