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Is "embedding" an old term? I'm wondering what's different vs https://en.wikipedia.org/wiki/Metric_space https://en.wikipedia.org/wiki/Metric_space
by dboreham 3y ago
Is "embedding" an old term? I'm wondering what's different vs https://en.wikipedia.org/wiki/Metric_space https://en.wikipedia.org/wiki/Metric_space
- wongarsu 3y agoWikipedia traces it back to this [1] 2002 paper, which talks about translated documents having an "embedding space" in each language. I guess you could interpret their paper as both English and French being embedded in some larger space, which would make it a valid use of the mathematical term. From there, people apparently just rolled with it and used the term more broadly, as tends to happen with language. 1: https://proceedings.neurips.cc/paper/2002/file/d5e2fbef30a4eb668a203060ec8e5eef-Paper.pdf https://proceedings.neurips.cc/paper/2002/file/d5e2fbef30a4e...
- blovescoffee 3y agoCheckout my comment next to yours. Embeddings in Geometry / in vector spaces are a very old topic. Also, your interpretation of their use of the word embedding is exactly correct.
- blovescoffee 3y agoCheckout https://en.wikipedia.org/wiki/Embedding#Topology_and_geometry https://en.wikipedia.org/wiki/Embedding#Topology_and_geometr... Crudely put, embedding is the verb, metric space is the noun.