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- W4320206598 abstract "Auto-encoder models that preserve similarities in the data are a popular tool in representation learning. In this paper we introduce several auto-encoder models that preserve local distances when mapping from the data space to the latent space. We use a local distance preserving loss that is based on the continuous k-nearest neighbours graph which is known to capture topological features at all scales simultaneously. To improve training performance, we formulate learning as a constraint optimisation problem with local distance preservation as the main objective and reconstruction accuracy as a constraint. We generalise this approach to hierarchical variational auto-encoders thus learning generative models with geometrically consistent latent and data spaces. Our method provides state-of-the-art performance across several standard datasets and evaluation metrics." @default.
- W4320206598 created "2023-02-13" @default.
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- W4320206598 date "2022-06-13" @default.
- W4320206598 modified "2023-09-23" @default.
- W4320206598 title "Local Distance Preserving Auto-encoders using Continuous k-Nearest Neighbours Graphs" @default.
- W4320206598 doi "https://doi.org/10.48550/arxiv.2206.05909" @default.
- W4320206598 hasPublicationYear "2022" @default.
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