Approximate Principal Direction Trees

@article{McCartinLim2012ApproximatePD,
  title={Approximate Principal Direction Trees},
  author={Mark McCartin-Lim and Andrew McGregor and Rui Wang},
  journal={CoRR},
  year={2012},
  volume={abs/1206.4668}
}
We introduce a new spatial data structure for high dimensional data called the approximate principal direction tree (APD tree) that adapts to the intrinsic dimension of the data. Our algorithm ensures vector-quantization accuracy similar to that of computationally-expensive PCA trees with similar time-complexity to that of loweraccuracy RP trees. APD trees use a small number of powermethod iterations to find splitting planes for recursively partitioning the data. As such they provide a natural… CONTINUE READING