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ICASSP21 Poster of `Nonnegative Unimodal Matrix Factorization'
- Citation Author(s):
- Submitted by:
- Man Shun Ang
- Last updated:
- 18 June 2021 - 9:45pm
- Document Type:
- Poster
- Document Year:
- 2021
- Event:
- Presenters:
- Andersen Ang
- Paper Code:
- MLSP-19.2
- Categories:
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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.