of Classes: K (= 5) Retina Image Features (Input of CNN): xi Rank Label: yi ∈ 0, 1, 2, 3, 4 yi ⟹ y i (1), … , y i k , … , y i (K−1) y i (k) ∈ I yi > rk e.g. yi = 2 ⟹ 1, 1, 0, 0 , y i (1 or 2) = 1, y i (3 or 4) = 0 (K - 1) binary tasks share the same weight parameter ωj , but have independent bias units bk h xi = k=1 K−1 fk (xi ) fk xi = I P y i (k) = 1 > 0.5 P y i (k) = 1 = s j m ωj aj + bk = s(g xi , W + bk ) Predicted Rank Condition. f1 xi ≥ f2 xi ≥ … ≥ fK−1 xi Required for the Ordinal Information and Rank-Monotonicity => Let's prove in the next slide! Output function of CNN e.g. 𝐏 𝐲 𝟏 𝐤 = 𝟏 , 𝐏 𝐲 𝟐 𝐤 = 𝟏 , 𝐏 𝐲 𝟑 𝐤 = 𝟏 , 𝐏 𝐲 𝟒 𝐤 = 𝟏 = [ 𝟎. 𝟖, 𝟎. 𝟕, 𝟎. 𝟒, 𝟎. 𝟏 ] 𝐡 𝐱𝐢 = 𝟏 + 𝟏 + 𝟎 + 𝟎 = 𝟐