All spaces06Geometric intuition

Manifold learning visualizer.

Explore 3D shapes and illustrative 2D mappings. Use rotation and color to follow how a surface changes under projection.

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Concept demonstration: the original demo uses handcrafted geometric projections. The Isomap, MDS, spectral, and t-SNE labels are illustrative; these are not numerical implementations of those algorithms.

Quick start

Get hands-on.

Choose a dataset and mapping, adjust the sample count and noise, and rotate the original 3D view to explore the geometry.

What to look for
  • Intrinsic versus extrinsic dimensionality.
  • The intuition behind neighborhoods, geodesic distances, and embeddings.
  • Why nonlinear structure can be lost in a simple projection.