Manuscript Oai265-A@2 · Oai265-A.tex · section · c0a34a45

Norm error and entropy error

Stage 3: PEPS existence, algorithms, and approximation budgets › Norm error and entropy error · lines 838–853

For $D \geq 2$ , define the monotone entropy modulus

ω_{D} (u) = h_{2} (u ˉ) + u ˉ lo g (D - 1), u ˉ = min {u, 1 - 1/ D},

where

h_{2} (p) = - p lo g p - (1 - p) lo g (1 - p) .

Set $ω_{1} (u) = 0$ .

Displayed formulas in this passage

unlabeled · line 841
$ω_{D} (u) = h_{2} (u ˉ) + u ˉ lo g (D - 1), u ˉ = min {u, 1 - 1/ D},$
unlabeled · line 849
$h_{2} (p) = - p lo g p - (1 - p) lo g (1 - p) .$