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The Ethereal
On the exact relationship between the denoising function and the data distribution
September 06, 2017 ยท Declared Dead ยท ๐ arXiv.org
"No code URL or promise found in abstract"
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Authors
Heikki Arponen, Matti Herranen, Harri Valpola
arXiv ID
1709.02797
Category
cs.NE: Neural & Evolutionary
Cross-listed
cs.LG,
stat.ML
Citations
3
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We prove an exact relationship between the optimal denoising function and the data distribution in the case of additive Gaussian noise, showing that denoising implicitly models the structure of data allowing it to be exploited in the unsupervised learning of representations. This result generalizes a known relationship [2], which is valid only in the limit of small corruption noise.
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