Description Usage Arguments Value See Also Examples
This function trains a model for specified values of lambda_L and lambda_H. The result contains L, H, u, v, lambda_L, and lambda_H. The only difference with mcnnm_wc is that this function trains only for specified pair of values (lambda_L, lambda_H).
1 2 3 | mcnnm_wc_fit(M, X, Z, mask, lambda_L, lambda_H, to_normalize = 1L,
to_estimate_u = 1L, to_estimate_v = 1L, to_add_ID = 1L, niter = 100L,
rel_tol = 1e-05, is_quiet = 1L)
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M |
Matrix of observed entries. The input should be N (number of units) by T (number of time periods). |
X |
Matrix containing unit-related covariates. The number of rows of X should match with the number of units (number of rows of M). If unit-related covariates do not exist X = matrix(0L,0,0) should be used as input. |
Z |
Matrix containing time-related covariates. The number of rows of Z should match with the number of time periods (number of columns in M). If time-related covariates do not exist use Z = matrix(0L,0,0) |
mask |
Binary mask with the same shape as M containing observed entries. |
lambda_L |
Required parameter for fitting the model as this function computes the result for a specified value of lambda_L. |
lambda_H |
Required parameter for fitting the model as this function computes the result for a specified value of lambda_H. |
to_normalize |
Optional boolean parameter indicating whether to normalize covariates or not (columns of X and Z). The default value is 1. If this value is set to 0, the result would be sensitive to scales in covariates. |
to_estimate_u |
Optional boolean input for wheter estimating fixed unit effects (row means of M) or not. Default is 1. |
to_add_ID |
Optional boolean parameter indicating whether identity matrices are concatenated with X and Z in the model X * H * Z'. The default value is true (identity matrices are concatenated) and the model becomes X*H_X + X*H_XZ*Z^T+ H_Z Z^T (the rest of matrix in H forced to zero). |
niter |
Optional parameter on the number of iterations taken in the algorithm for each fixed value of lambda_L. The default value is 1000 and it is sufficiently large as the algorithm is using warm-start strategy. |
rel_tol |
Optional parameter on the stopping rule. Once the relative improve in objective value drops below rel_tol, execution is halted. Default value is 1e-5. |
is_quiet |
Optional boolean input which indicates whether to print the status of learning and convergence results for Cyclic Coordinate Descent algorithm or not. The default value is 1 (no output is printed). |
The fitted model for the given value of lambda_L and lambda_H. The result contains L, H, u, v, lambda_L, and lambda_H.
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