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August 13, 2026Journal of Computational and Graphical Statistics

Scalable balanced k -d tree construction for distributed data

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Overview

Randomized trial demonstrates efficient k-d tree construction in distributed datasets, highlighting scalability benefits.

Key Points

  • The aim is to present a scalable method for constructing k-d trees from distributed datasets while ensuring efficient memory usage and construction time.
  • Introduced a new MapReduce algorithm for k-d tree construction.
  • Achieved O(N) construction time and O(1) memory usage.
  • Outlined theoretical bounds on the quality of median approximations.
  • Simulation studies showed the method achieves both accuracy and scalability.
  • Demonstrated applicability in distributed M-estimation for regression.

Cite This Study

A 2026 study studied this question.

synapsesocial.com/papers/6a7d75c72b0e0cff3f63e947https://doi.org/10.1080/10618600.2026.2714131
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