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. |