A tire with a cellular layer is provided. The tire includes a tire structure formed of at least one crown extended by two sidewalls and two beads. A base of each of the two beads is configured to be mounted onto a rim seat. The tire also includes a carcass-type reinforcing structure anchored into the two beads, and a layer that includes a cellular material, also referred to as a cellular layer. The cellular layer is positioned on an inner wall of the tire structure, such that the cellular layer is bonded to the tire structure over at most over 20% of a surface of the cellular layer and is not bonded to the tire structure elsewhere on the surface.