Using topology to uncover the shape of your data

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47 pointsdataisfun5 comments

By chance, does anyone have any immediate resources to learn more about topology? I've been interested in applying it to my work, but as a topic it's rather "out there" so to speak, so it's difficult to find relevant introductory material.

It's not that introductory but for applications: https://www.math.upenn.edu/~ghrist/notes.html

There's lots of different kinds of topology, Hatcher's 'Algebraic Topology' is one of the standards: http://www.math.cornell.edu/~hatcher/AT/ATpage.html

Afra Zomorodian has a pretty accessible book called 'Topology for Computing'.

You can also play around with OSS such as pymapper, jplex etc.

I wonder how this stuff copes with very noisy data.

Pretty well in my experience - A few years ago I used it with Illumina data obtained from in vivo phage display.

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