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Bibliographic Details
Main Authors: Beier, Sönke, Pirker-Díaz, Paula, Pagenkopf, Friedrich, Wiesner, Karoline
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.20428
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Table of Contents:
  • Diffusion Map is a spectral dimensionality reduction technique which is able to uncover nonlinear submanifolds in high-dimensional data. And, it is increasingly applied across a wide range of scientific disciplines, such as biology, engineering, and social sciences. But data preprocessing, parameter settings and component selection have a significant influence on the resulting manifold, something which has not been comprehensively discussed in the literature so far. We provide a practice oriented review of the Diffusion Map technique, illustrate pitfalls and showcase a recently introduced technique for identifying the most relevant components. Our results show that the first components are not necessarily the most relevant ones.