Description Usage Arguments Details Value Examples
Solving the nonnegative matrix factorization via alternating least square.
1 | bignmf(V, r, max.iteration = 200, stop.condition = 1e-04)
|
V |
the matrix to be factorized. Should be a numeric matrix. |
r |
the rank of resulting matrices. |
max.iteration |
the number of iterations allowed. |
stop.condition |
the function compares the norm of projected gradient matrix in the k-th iteration and the norm of gradient matrix after the first iteration. If the former one is less than the latter multiplying stop.condition, iteration stops . |
The nonnegative matrix factorization tries to find nonnegative matrices W and H, so that V \approx WH. Using sum of squares loss function, the problem is to solve \min_{W≥0, H≥0} f(V - WH). bignmf finds W minimizing f given H and then finds H give W, i.e. alternating least squares. The function treats nonnegative constrained regression as a special L1 regression and solves it via coordinate descent method.
The function returns a list of length 3.
W |
the resulting nonnegative matrix W. |
H |
the resulting nonnegative matrix H. |
iterations |
number of iterations. |
1 2 3 4 5 6 | ## Not run:
v_mat <- matrix(rexp(6000000,2), 2000, 3000)
system.time(re <- bignmf(v_mat, 20))
re$iterations
## End(Not run)
|
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