Kili never even stirred. Considering the fact that they'd set up camp on the ground every night before this, this was the most comfortable he'd been. Rivendell was peaceful, beautiful, and above all else: safe. For a time, he got to rest, but that was short lived. A few hours later, Thorin entered loft, and it was apparent that he'd been searching for them. 

"We're leaving," Thorin announced what had been his plan all along. At night, they could leave without disturbance; he did not wish for Elrond or any of the others to talk him out of their journey.