2026 - T1 - Illustration as a mathematical research technique

Collection 2026 - T1 - Illustration as a mathematical research technique

Organizer(s) Bachman, David ; Coulon, Rémi ; Dorfsman-Hopkins, Gabriel ; Harriss, Edmund ; Skrodzki, Martin ; Stange, Katherine E. ; Whitney, Glen
Date(s) 05/01/2026 - 03/04/2026
linked URL https://indico.math.cnrs.fr/event/13123/
20 49

Embedding high-dimensional data into (non-)Euclidean spaces (fast)

By Martin Skrodzki

Also appears in collection : 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

The field of explorative data analysis provides methods to investigate large, potentially high-dimensional, data sets. Such exploration is best done visually, to engage the human in the loop with all pattern recognition built into our visual cortex. In my talk, I will give a brief introduction to dimensionality reduction for this purpose, especially about the t-SNE method. I will then show how embedding into non-Euclidean spaces can provide embeddings that help with visual inspection and how to compute such embeddings quickly.

Information about the video

Citation data

  • DOI 10.57987/IHP.2026.T1.WS2.003
  • Cite this video Skrodzki, Martin (16/02/2026). Embedding high-dimensional data into (non-)Euclidean spaces (fast). IHP. Audiovisual resource. DOI: 10.57987/IHP.2026.T1.WS2.003
  • URL https://dx.doi.org/10.57987/IHP.2026.T1.WS2.003

Bibliography

  • Maaten, Laurens van der, and Geoffrey Hinton. "Visualizing data using t-SNE." Journal of machine learning research 9.Nov (2008): 2579-2605.
  • Van Der Maaten, Laurens. "Accelerating t-SNE using tree-based algorithms." The journal of machine learning research 15.1 (2014): 3221-3245.
  • Klimovskaia, Anna, et al. "Poincaré maps for analyzing complex hierarchies in single-cell data." Nature communications 11.1 (2020): 2966.
  • Skrodzki, Martin, et al. "Accelerating hyperbolic t-SNE." IEEE transactions on visualization and computer graphics 30.7 (2024): 4403-4415.

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