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Ensuring Topological Data-Structure Preservation under Autoencoder Compression due to Latent Space R...

Ensuring Topological Data-Structure Preservation under Autoencoder Compression due to Latent Space R...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2865941338

Ensuring Topological Data-Structure Preservation under Autoencoder Compression due to Latent Space Regularization in Gauss--Legendre nodes

About this item

Full title

Ensuring Topological Data-Structure Preservation under Autoencoder Compression due to Latent Space Regularization in Gauss--Legendre nodes

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-09

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

We formulate a data independent latent space regularisation constraint for general unsupervised autoencoders. The regularisation rests on sampling the autoencoder Jacobian in Legendre nodes, being the centre of the Gauss-Legendre quadrature. Revisiting this classic enables to prove that regularised autoencoders ensure a one-to-one re-embedding of t...

Alternative Titles

Full title

Ensuring Topological Data-Structure Preservation under Autoencoder Compression due to Latent Space Regularization in Gauss--Legendre nodes

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2865941338

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2865941338

Other Identifiers

E-ISSN

2331-8422

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