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Advances in Dimensionality Reduction – Course Overview

Welcome to the course Advances in Dimensionality Reduction! This course combines lectures and hands-on labs to provide a deep understanding of both classical and modern dimensionality reduction techniques. Each lab has a number in the order it is delivered. The course slides are in Slides.pdf.


Schedule

Day 1

  • Linear algebra review
  • Introduction to dimensionality reduction
  • Linear methods

Day 2

  • Nonlinear methods
  • Neural network methods

Labs

We'll use Python and Jupyter Notebooks with:

numpy
matplotlib
scipy
scikit-learn
pytorch

Further Reading

A detailed review of dimensionality reduction for remote sensing and be found here

@misc{mankovich2025dr4rs,
      title={Dimensionality Reduction for Remote Sensing Data Analysis: A Systematic Review of Methods and Applications}, 
      author={Nathan Mankovich and Kai-Hendrik Cohrs and Homer Durand and Vasileios Sitokonstantinou and Tristan Williams and Gustau Camps-Valls},
      year={2025},
      eprint={2510.18935},
      archivePrefix={arXiv},
      primaryClass={cs.CV},
      url={https://arxiv.org/abs/2510.18935}, 
}