Mathematical foundations of data anlaysis
- Lecturer: Samantha Fairchild
- Date: Tuesdays 11:15-12:45 and Wednesdays 15:15-16:45
- Room: SG 2-14
- Audience: Masters level course, but still of interest to PhD students and postdocs wanting to become familiar with data science terms
- Keywords: Linear algebra, probability theory, network analysis, machine learning, topological data analysis, tensors
Abstract
This course is designed so someone can understand the definitions of standard data science terms, and the associated mathematical terms. We also give proofs of how commonly used techniques in data science work along with implementing algorithms and examples with a computer program. We start by covering Linear algebra and Probability necessary for the course, and then proceed in 4 different topics: network analysis, machine learning, topological data analysis, and then low rank matrices and tensor.To keep informed about changes to this lecture subscribe to lecture mailinglist
Regular lectures: Winter semester 2022/2023
- Hilbert Schemes
- Javier Sendra Arranz, Ángel David Ríos Ortiz
- March 14 at 15:00-17:10, March 16 at 11:00-14:30, March 21 at 11:00-12:00, March 23 at 11:00-14:30, March 24 at 10:00-12:10, March 28, 11:00-12:00, MPI MiS G3 10
- IMPRS Ringvorlesung
- Tobias Ried, Florentin Münch, Dejan Gajic, Stefan Czimek
- Mondays 10.30-12.00 (please note special dates and rooms at the lectures), MPI MiS E1 05 (Leibniz)
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- Mathematical foundations of data anlaysis
- Samantha Fairchild
- Tuesdays 11:15-12:45 and Wednesdays 15:15-16:45, SG 2-14
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- Bielefeld-Leipzig online seminar: Mathematics of Machine Learning
- Benjamin Gess
- Wednesdays 16:15-17:45, Live Stream
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- Topics in the Spatially Homogeneous Boltzmann Equation
- Daniel Heydecker
- Wednesdays, 14:00-15:30, MPI MiS A3 01
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- Principles of Network Analysis
- Jürgen Jost, Raffaella Mulas
- Friday, 2-3.30pm (Attention: On 14.10. in room A3 01), MPI MiS E1 05 (Leibniz)
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- Nonlinear potential theory for degenerate elliptic PDE
- Lukas Koch
- Thursdays, 09.00-10.30, MPI MiS A3 01
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- Recent developments in discrete Ricci curvature
- Florentin Münch
- Thursday, 15.00-16.30, MPI MiS A3 01
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- Mukai Grassmannians
- Angel Rios
- 12 lectures on Tuesdays 10:00 - 11:30 and Thursdays, 10:30 - 12:00 starting September 20, MPI MiS G3 10
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- Random Topology
- Erika Roldan, Sayan Mukherjee
- Tuesdays, 13:30-15:00, MPI MiS A3 01
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- Algebraische Geometrie
- Rainer Sinn
- Wednesday 11-13 and Thursday 15-17, P701 (voraussichtlich)
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- Metric Algebraic Geometry
- Bernd Sturmfels
- Tuesdays 17:10-18:30, Live Stream
- Lecture course on optimal transport
- Max von Renesse
- Friday 09.15 -- 10.45 CET, starting Oct 28., Live Stream