... authors also justified theirmethod by showing that with feature hashing, dot-product is unbiased, and the length of each vectoris well-preserved with high probability under someconditions.Plausibly ... explain in detail. In NLP, features can beoften expediently expressed with strings. For in-stance, a feature ‘the current word ends with -ing’can be expressed as a string cur:end:ing (herewe suppose ... γ−1Ψ−2where 0 < γ <= 1, with probability at least 1 −γ, RSS is additively distortedby .Proof. Note that a hashed feature map φ(h,ξ)is lin-ear, since φ(x) = Mx with a matrix M suchthat...