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The ANTARES neutrino telescope detects the Cherenkov radiation emitted alongthe path of charged particles produced in neutrino interactions. ANTARES issensitive to all flavors even though it is optimized for muon neutrinos.Several algorithms estimating the deposited energy in the active volume of thedetector have been developed and applied to the reconstruction of the primaryneutrino energy - this allows to improve the search for a diffuse flux ofastrophysical neutrinos. The search for a diffuse flux of cosmic neutrinos atvery high energies (E_\nu > 30 TeV) is updated using 4 years of data with thefull detector.

Updated limits on diffuse fluxes of cosmic neutrinos with 2008-2011 ANTARES data