Rejected | Counterfeit Handbag Filter

[Rejected!] Handbag X has been rejected from the UhBAD filter. After this outcome, the probability that handbag (X) is authentic may depend on the depth that (X) had probed the filter. However, we consider a rejection at any filter node a red flag, [such that the P(A) = 0], and you should walk away from the handbag. In which case if you just purchased it, get your money back.

U = [QSS;Material;Label;Hardware;Brand_Specifics]

(i) X = handbag in filter
(ii) A = authentic

X_authentic ⇔ -(P(A|U_{x₁:x_n}))log₂(P(A|U_{x₁:x_n})) ≤ .07
< -(P(A|U_{x₁:x_n-1}))log₂(P(A|U_{x₁:x_n-1}))
≤ -(P(A|U_{x₁:x_n-2}))log₂(P(A|U_{x₁:x_n-2}))
≤ -(P(A|U_{x₁:x_n-3}))log₂(P(A|U_{x₁:x_n-3}))
≤ -(P(A|U_{x₁:x_n-4}))log₂(P(A|U_{x₁:x_n-4}))
= X_fake

Obtaining 100% accuracy one way or the other can never be determined without actually handling the bag in person. However, with a rejected handbag, you can confidently move on to the next prospect and never look back. Doing so will drastically increase the odds of siezing a great buy online.

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