I'm checking Facebook's paper about Prophet algorithm. I don't understand a part of formula, "w.p.". It's hard to search on Google. Could anyone help me understand this?
https://peerj.com/preprints/3190/ (Page 11 has this formula.)
2026-04-13 04:12:19.1776053539
What does w.p. mean in formulas?
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It means "with probability". So here, there is a $\tfrac{T-S}{T}$ probability that $\delta_j = 0$, and a $\tfrac{S}{T}$ probability that $\delta_j$ is drawn from a $\text{Laplace}(0,\lambda)$ distribution.