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Probabilistic analysis of vantage point trees - MaRDI portal

Probabilistic analysis of vantage point trees (Q2068978)

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scientific article; zbMATH DE number 7460405
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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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