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Michi’s blog » archive for January, 2011

 The Topology of Politics

  • January 4th, 2011
  • 8:09 pm

This is a typed up copy of my lecture notes from the seminar at Linköping, 2010-08-25. This is not a perfect copy of what was said at the seminar, rather a starting point from which the talk grew.

In my workgroup at Stanford, we focus on topological data analysis — trying to use topological tools to understand, classify and predict data.

Topology gets appropriate for qualitative rather than quantitative properties; since it deals with closeness and not distance; also makes such approaches appropriate where distances exist, but are ill-motivated.

These approaches have already been used successfully, for analyzing

  • physiological properties in Diabetes patients
  • neural firing patterns in the visual cortex of Macaques
  • dense regions in \mathbb{R}^9 of 3×3 pixel patches from natural (b/w) images
  • screening for CO2 adsorbative materials