Title: Intrinsic Dimensionality Estimation for Data Points in Local Region

Author(s): Aiqing Xu and Xiaorong Wang
Issue: Volume 81 Series B Part 1 Year 2019
Pages: 123 -- 132
Intrinsic dimensionality estimation plays a pivotal role in dealing with highdimensional datasets. In this work, we aim to develop a robust dimensionality estimation algorithm by investigating the intrinsic dimensionality estimation methods for data points in its local region. Our method is able to effectively utilise the geometric information in the local region for dimensionality. We also show different methods to improve the estimation by using perspectives from the local region and different preprocessing methods
Primary 62G05; Secondary 62P30
Keywords and phrases: Numerical analysis, Probabilistic methods, Models of computation, Nonparametric inference, Estimation