Name
Abstract | ||
|---|---|---|
The present paper generalizes the problems of nonnegative matrix factorization and decomposition of fuzzy relation into a common non-linear non-negative matrix factorization problem. Algorithms for solving such a general nonlinear problem are discussed, based on general algebraic structures of ordered semirings with generated pseudo-operations. Some decompositions in max-product, max-plus algebras are also shown. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/FUZZY.2010.5584682 | FUZZ-IEEE |
Keywords | Field | DocType |
fuzzy set theory,nonnegative matrix decomposition,nonlinear nonnegative matrix factorization,ordered semiring,max-plus algebra,fuzzy relation,image reconstruction,matrix decomposition,general algebraic structure,max-product algebra,approximation algorithms,non negative matrix factorization,nonnegative matrix factorization,generators,artificial neural networks | Congruence of squares,Nonnegative matrix,Algebra,Incomplete Cholesky factorization,Matrix decomposition,Factorization,Incomplete LU factorization,Non-negative matrix factorization,Mathematics,Factorization of polynomials | Conference |
ISSN | ISBN | Citations |
1098-7584 | 978-1-4244-6919-2 | 0 |
PageRank | References | Authors |
0.34 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Barnabás Bede | 1 | 689 | 44.85 |
| Hajime Nobuhara | 2 | 192 | 34.02 |
| Imre J. Rudas | 3 | 388 | 63.89 |
| Takanari Tanabata | 4 | 6 | 1.97 |