de Fréin, Ruairí
(2013)
*Ghostbusters: A Parts-based NMF Algorithm.*
24th IET Irish Signals and Systems Conference (ISSC 2013), 24.
pp. 1-8.

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## Abstract

An exact nonnegative matrix decomposition algorithm is proposed. This is achieved by 1) Taking a nonlinear approximation of a sparse real-valued dataset at a given tolerance-to-error constraint, e; 2) Choosing an arbitrary lectic ordering on the rows or column entries; And, then 3) systematically applying a closure operator, so that all closures are selected. Assuming a nonnegative hierarchical closure structure (a Galois lattice) ensures the data has a unique ordered overcomplete dictionary representation. Parts-based constraints on these closures can then be used to specify and supervise the form of the solution. We illustrate that this approach outperforms NMF on two standard NMF datasets: it exhibits the properties described above; It is correct and exact.

Item Type: | Article |
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Departments or Groups: | Telecommunications Software and Systems Group |

Divisions: | School of Science > Department of Computing, Maths and Physics |

Depositing User: | Ruairi De Frein |

Date Deposited: | 23 Aug 2016 11:27 |

Last Modified: | 23 Aug 2016 11:27 |

URI: | http://repository-testing.wit.ie/id/eprint/3174 |

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