19233611 Seminar

SoSe 17: Topological data analysis

Shane Kelly

Zusätzl. Angaben / Voraussetzungen

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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Kommentar

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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Literaturhinweise

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 Termine

Zusätzliche Termine

Do, 06.07.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Regelmäßige Termine der Lehrveranstaltung

Mo, 24.04.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 08.05.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 15.05.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 22.05.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 29.05.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 12.06.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 19.06.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 26.06.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 03.07.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 10.07.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

Mo, 17.07.2017 14:00 - 16:00

Dozenten:
Dr. Shane Kelly

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

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