Topology and Data Reading Group

In this reading we will work through Gunnar Carlsson's recent article on Topology and Data.

Other references include Edelsbrunner's publications - note the survey paper at the top, Ghrist's paper on sensor network applications, 1st paper and 2nd paper by Smale, Weinberger and Niyogi on clustering and unsupervised learning applications. An interesting paper on computing persistent homology.

Topology and Data Reading Group - Wednesday 1:30-2:30 - Room 4610 Engineering Hall
October 7 N.Boston Organizational meeting, section 1.
October 14 R.Nowak Carlsson's slides.
October 21 G.Craciun Sections 2.1,2.2 - introduction and building coverings and complexes.
October 28 G.Craciun Sections 2.1,2.2 - introduction and building coverings and complexes (continued).
November 4 J.Ellenberg Section 2.3 - persistent homology.
November 11 No meeting this week.
November 18 B.Sethares Section 2.4 - natural image statistics.
December 2 L.Maxim Rest of 2.4 and all 2.5 - electrode array data from primary visual cortex.
December 9 L.Maxim Rest of 2.4 and all 2.5 - electrode array data from primary visual cortex.
December 16 G.Mari-Beffa Sections 3.1,3.2 - visualization, a topological method.
January 27 Organizational meeting.
February 3 Meeting to discuss viability of investigations.
February 10 H.King Computing homology and barcodes of simplicial complexes.
February 17 G.Craciun and G.Dasarathy Plex: How does it do what it does?
February 24 L.Balzano and J.Ellenberg H^1 features (if any) in router usage data.
March 2 (1:20, 901VV) S.Weinberger (U.Chicago) Persistent homology of data, groups, and function spaces.
March 10 G.Carlsson (Stanford) Functoriality, generalized persistence, and structural signatures.
April 14 B.Sethares Topology of musical data.