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. |
| November 25 | L.Maxim | Rest of 2.4 and all 2.5 - electrode array data from primary visual cortex. |
| December 2 | G.Mari-Beffa | Sections 3.1,3.2 - visualization, a topological method. |
| December 9 | 3.3,3.4,3.5 - filters, scale space, examples. | |
| December 16 | Section 4.1 and some 4.2 - multidimensional persistence. | |
| December 23 | Rest of 4.2 and all 4.3 - quivers and zigzags, tree based persistence. | |
| December 30 | Section 5 - reasoning about clustering. | |