19233611 Seminar

SoSe 17: Topological data analysis

Shane Kelly

Additional information / Pre-requisites

Aimed at: Bachelor and masters students (of mathematics, computer science, physics, etc)

Background: A knowledge of linear algebra is sufficient. The course does not require any previous knowledge of topology or statistics.

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Comments


Topological data analysis is a new area which seeks to apply methods from topology to study the "shape" of data sets. It is particularly suited to noisy data sets sitting in potentially high (e.g., 10,000) dimensional spaces, which are none-the-less concentrated around low-dimensional geometric structures that need to be uncovered.

Despite being a new area, topological data analysis has already seen applications in several areas of science and engineering, including oncology, astronomy, neuroscience, image processing, and biophysics.

For more information see:
http://www.mi.fu-berlin.de/users/shanekelly/TopologicalDataAnalysis2017SS.html

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Suggested reading

Course texts:

1. Geometric and Topological Inference by Boissonnat and Chazal and Yvinec
2. Topology and data by Gunnar Carlsson
3. Principal Component Analysis of Persistent Homology Rank Functions by Robins and Turner

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11 Class schedule

Additional appointments

Thu, 2017-07-06 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Regular appointments

Mon, 2017-04-24 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-05-08 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-05-15 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-05-22 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-05-29 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-06-12 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-06-19 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-06-26 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-07-03 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-07-10 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Mon, 2017-07-17 14:00 - 16:00

Lecturers:
Dr. Shane Kelly

Location:
A3/SR 210 Seminarraum (Arnimallee 3-5)

Subjects A - Z