| Tentative Schedule |
| Week 1 |
|---|
| 1/17 | Professor Gunnar Carlsson Introduces Topological Data Analysis,
Mapper slides , worksheet ,
,
,
,
|
| 1/19 | Meet in B5 MLH: Lab 1 files , slides |
| FYI: scikit-learn clustering |
| Week 2 |
|---|
| 1/24 |
More TDA mapper slides
,
,
,
|
| 1/26 | Meet in B5 MLH: Lab 2 |
| Week 3 |
|---|
| 1/31 |
Mapper/Persistent Homology
,
,
,
|
| 2/2 | Persistent homology, place cells |
| Week 4 |
|---|
| 2/7 |
Persistent Homology/Place cells
,
,
,
|
| 2/9 | Persistent homology, image analysis |
| Week 5 |
|---|
| 2/14 |
Image analysis, Barcodes, Persistent diagrams, Noise, stability
|
| 2/16 | Stability, Detecting periodicity |
| Week 5 |
|---|
| 2/21 |
Software,
TDA ,
Perseus,
JavaPlex ,
Iris data set,
databasics.r
|
| 2/23 | Multidimensional persistence |
| |
| Week 7 |
|---|
| 2/28 | Meet in B5 MLH
|
| 3/2 | Applications |
| Week 8 |
|---|
| 3/7 |
Topology of Viral Evolution |
| 3/9 |
Topology of Viral Evolution, Ethics |
| *****Spring Break March 12 - 19**** |
| Week 9 |
|---|
| 3/21 |
computing PH, sparsified Rips
|
| 3/23 |
slides ,
Dey's Computing persistence for simplicial maps
with application to data sparsification 2014 |
| Week 10 |
|---|
| 3/28 | Cohomology and circular coordinates |
| 3/30 | annotations |
| Week 11 |
|---|
| 4/4 | categories, interval modules, etc.
|
| 4/6 |
|
| Week 12 |
|---|
| 4/11 |
Michael Robinson's Sheaves
|
| 4/13 | Michael Robinson's Sheaf Cohomology and its Interpretation
|
| Week 13 |
|---|
| 4/18 |
slides for Justin
Curry's Topological data analysis and cosheaves
|
| 4/20 |
Curry's cosheaves
Topo-Geometric Filtration Scheme for Geometric Active Contours and Level Sets:
Application to Cerebrovascular Segmentation,
Molina-Abril, Frangi; Medical Image Computing and Computer-Assisted Intervention MICCAI 2014
Persistent Homology Analysis of Brain Artery Trees1
Bendich, Marron, Miller, Pieloch, Skwerer, Ann Appl Stat. 2016
The accumulated persistence function, a new useful functional summary statistic for topological data analysis,
with a view to brain artery trees and spatial point process applications, Biscio, Moller, arXiv
(Submitted on 2 Nov 2016)
Biscio's slides
|
| Week 14 |
|---|
| 4/25 |
PCA,
Sweave file,
Brain arteries
|
| 4/27 | Trees (neurons and arteries) |
| Week 15 |
|---|
| 5/2 | The Human Connectome |
| 5/4 | The Directed Connectome |