MLPACK
1.0.11
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The multiplicative distance update rules for matrices W and H. More...
Public Member Functions | |
NMFMultiplicativeDistanceUpdate () | |
template<typename MatType > | |
void | Initialize (const MatType &dataset, const size_t rank) |
Static Public Member Functions | |
template<typename MatType > | |
static void | HUpdate (const MatType &V, const arma::mat &W, arma::mat &H) |
The update rule for the encoding matrix H. More... | |
template<typename MatType > | |
static void | WUpdate (const MatType &V, arma::mat &W, const arma::mat &H) |
The update rule for the basis matrix W. More... | |
The multiplicative distance update rules for matrices W and H.
This follows a method described in the paper 'Algorithms for Non-negative Matrix Factorization' by D. D. Lee and H. S. Seung. This is a multiplicative rule that ensures that the Frobenius norm is non-increasing between subsequent iterations. Both of the update rules for W and H are defined in this file.
Definition at line 38 of file nmf_mult_dist.hpp.
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inline |
Definition at line 42 of file nmf_mult_dist.hpp.
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inlinestatic |
The update rule for the encoding matrix H.
The formula used is
The function takes in all the matrices and only changes the value of the H matrix.
V | Input matrix to be factorized. |
W | Basis matrix. |
H | Encoding matrix to be updated. |
Definition at line 84 of file nmf_mult_dist.hpp.
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inline |
Definition at line 45 of file nmf_mult_dist.hpp.
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inlinestatic |
The update rule for the basis matrix W.
The formula used is
The function takes in all the matrices and only changes the value of the W matrix.
V | Input matrix to be factorized. |
W | Basis matrix to be updated. |
H | Encoding matrix. |
Definition at line 64 of file nmf_mult_dist.hpp.