Expressway Traffic Flow Missing Data Repair Method Based on Coupled Matrix-Tensor Factorizations

Table 1

The main steps of CMTF.

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Input: the tensor with missing traffic flow data, matrices and , tensor rank , initial iteration number , maximum iteration number
Output: completed tensor

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(1) Initialize , , ,

(2) Calculate using (22), and using (23)

(3) If , repeat Step 4 ∼ Step 8

(4) Using (14)–(16), calculate and update , respectively

(5) Using (17)–(20), calculate and update , respectively

(6) Using (22), calculate and update . Similarly, calculate and update using (23)

(7) Using (12), calculate and update

(8) Set . If the algorithm reaches the convergence standard, the loop is broken. Otherwise, return to Step 3

(9) Return to

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