Probabilistic analysis of vantage point trees (Q2068978)
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scientific article; zbMATH DE number 7460405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Probabilistic analysis of vantage point trees |
scientific article; zbMATH DE number 7460405 |
Statements
Probabilistic analysis of vantage point trees (English)
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20 January 2022
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Consider a vantage-point tree constructed on the \(d\)-dimensional space \([-1,1]^d\) with the \(\ell_\infty\) distance and an exponential choice of thresholds. The author studies properties of the length of the leftmost path in such a tree, as well as partitions over this \(d\)-dimensional space induced by the tree. These results include limit theorems for the length of this leftmost path.
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fixed-point equation
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machine learning
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Markov chain
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nearest neighbor search
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probabilistic analysis
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random tree
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similarity search
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vantage point tree
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vp-tree
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0.86228955
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0.8613624
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0.8419964
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0.8419964
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0.84013516
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0.8391861
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