Note that, unlike in GOK or N-centred ensemble DFT, the minimizing ensemble weights λ I = e -β E I /(∑ J e -β E J ) are energy dependent. Therefore, they are unknown when the calculation starts. Moreover, even though both interacting and noninteracting Kohn-Sham systems are described at the same temperature and share the same (ensemble) thermal density, their ensemble weights are different, simply because Kohn-Sham energies do not match the true interacting ones. With these major differences in mind, the discussion on ensemble DFAs that follows essentially applies also to thermal DFT. The ensemble-weight dependence of the Hxc functional simply reduces to a temperature dependence.