Title
A Variational Autoencoder for Probabilistic Non-Negative Matrix Factorisation.
Abstract
We introduce and demonstrate the variational autoencoder (VAE) for probabilistic non-negative matrix factorisation (PAE-NMF). We design a network which can perform non-negative matrix factorisation (NMF) and add in aspects of a VAE to make the coefficients of the latent space probabilistic. By restricting the weights in the final layer of the network to be non-negative and using the non-negative Weibull distribution we produce a probabilistic form of NMF which allows us to generate new data and find a probability distribution that effectively links the latent and input variables. We demonstrate the effectiveness of PAE-NMF on three heterogeneous datasets: images, financial time series and genomic.
Year
Venue
DocType
2019
CoRR
Journal
Volume
Citations 
PageRank 
abs/1906.05912
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Steven Squires100.68
Adam Prügel-Bennett201.35
Mahesan Niranjan3775120.43