Abstract | ||
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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 |
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2019 | CoRR | Journal |
Volume | Citations | PageRank |
abs/1906.05912 | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Steven Squires | 1 | 0 | 0.68 |
Adam Prügel-Bennett | 2 | 0 | 1.35 |
Mahesan Niranjan | 3 | 775 | 120.43 |