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ICASSP21 Poster of `Nonnegative Unimodal Matrix Factorization'

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Citation Author(s):
Arnaud Vandaele, Haans De Sterck
Submitted by:
Man Shun Ang
Last updated:
18 June 2021 - 9:45pm
Document Type:
Poster
Document Year:
2021
Event:
Presenters Name:
Andersen Ang
Paper Code:
MLSP-19.2

Abstract 

Abstract: 

We introduce a new Nonnegative Matrix Factorization (NMF) model called Nonnegative Unimodal Matrix Factorization (NuMF), which adds on top of NMF the unimodal condition on the columns of the basis matrix. NuMF finds applications for example in analytical chemistry. We propose a simple but naive brute-force heuristics strategy based on accelerated projected gradient. It is then improved by using multi-grid for which we prove that the restriction operator preserves the unimodality. We also present two preliminary results regarding the uniqueness of the solution, that is, the identifiability, of NuMF. Empirical results on synthetic and real datasets confirm the effectiveness of the algorithm and illustrate the theoretical results on NuMF.

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Dataset Files

20210608ICASSP_A0Poster.pdf

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