How is the 'local intrinsic dimensionality' calculated?

#2
by SandeepSilwal - opened

Hi, I was wondering what formula/procedure was used to calculate the LID column of the dataset. Thank you!

Marqo org

Hi @SandeepSilwal , the LID is calculated with a Maximum Likelihood Estimation based technique described in this paper https://www.stat.berkeley.edu/~bickel/mldim.pdf. The main difference being we use a cosine space rather than a euclidean space to maintain consistency with the standard downstream application of these embeddings. The calculation looks at the 100 nearest neighbours for every point in every dataset to do the pointwise estimation.

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