Algorithm 3.

aEM2 (noise addition version 1).

Initialize: μ⁰, Ω⁰, ν⁰ < < 1

repeat

if mod(n, s) = 0 then

νⁿ ← rν^n–1 + (1 – r)

else

νⁿ ← ν^n–1

end if

w_{i}^{n} \leftarrow \frac{α + p}{α + d_{i}^{n}}, v^{n} \leftarrow \sum_{i = 1}^{m} w_{i}^{n}

v^{* n} \leftarrow \frac{v^{n} α}{α + (1 - v^{n}) p}

μ^{n + 1} \leftarrow \frac{1}{v^{n}} \sum_{i = 1}^{m} w_{i}^{n} x_{i}

Ω^{n + 1} \leftarrow \frac{1}{v^{* n} v^{n}} \sum_{i = 1}^{m} w_{i}^{n} (x_{i} - μ^{n + 1}) {(x_{i} - μ^{n + 1})}^{t}

until νⁿ ≈ 1 and convergence occurs