Characterizing Critical Transition State for Network Fundamental Diagram

Algorithm 1

The EM Algorithm to estimate parameters in GMM.

The clustering of critical transition state points based on GMM

Input: , ,

Output:

 Process:

 (1) Giving the initial and

 (2)

 (3)  When    do

 (4)   # step 4 is E-step (Equation (6))

 (5)     # step 5 is M-step (Equation (7)-(9))

 (6) replace with

 (7) end for