Maximum Likelihood Estimation Pe(x) Pdata(x) Network Sample {x1,x2,....xm}from Pdata(x) We can compute Pe(xi) ?? Maximum Likelihood Estimation Network 𝑧 𝑥 𝑃𝜃 𝑥 𝜃 𝑃𝑑𝑎𝑡𝑎 𝑥 Sample 𝑥 1 , 𝑥 2 , … , 𝑥 𝑚 from 𝑃𝑑𝑎𝑡𝑎 𝑥 We can compute 𝑃𝜃 𝑥 𝑖 𝜃 ∗ = 𝑎𝑟𝑔 max 𝜃 ෑ 𝑖=1 𝑚 𝑃𝜃 𝑥 𝑖 ??? ???