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Table 3

The algorithm for identifying the vector field from data.

Algorithm: Identifying the vector field b(x) from data
Input: Dictionary Ψ(x), data sets X and Y, threshold λ.
1. Compute the matrices G, A, K, L and every vector Bi in equations (12) and (13) for i = 1,…, n.
2. Calculate via equation (13).
3. Delete the coefficients smaller than λ and corresponding basis functions in the dictionary.
4. Iterate step 1-3 until no coeffcient is smaller than λ.
Output: The optimal sparsity solution and corresponding approximate vector field for i = 1,…, n.

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