Interpreting Representation Quality of DNNs for 3DPoint Cloud Processing: Supplementary Materials Wen Shenb Qihan Rena Dongrui Liua Quanshi Zhanga aShanghai Jiao Tong UniversitybTongji University

This section provides more details about Shapley values in Section 3 of the paper. Linearity: If two independent games vand wcan be merged into one game u(S) = v(S)+w(S), then the Shapley value of the player i in game v and game w also can be merged, i.e. φu(i) = φv(i)+φw(i). Nullity: A dummy player isatisfies S N\{i},v(S {i}) = v(S)+v({i}), which indicates that the player ihas no interaction with other players, i.e. φ(i) = v({i}). Efficiency: The overall reward can be allocated to all players in the game, i.e. This section provides more details about multi-order interactions [8] in Section 3.3 of the paper.