Modellierung II
Instructors: Univ.-Prof. Dr. Michael WandShortname: 08.079.318
Course No.: 08.079.318
Course Type: Vorlesung/Übung
Requirements / organisational issues
Modelling II builds on top of Modelling I (previous semester). Familiarity with the corresponding topics (linear vector spaces, function spaces, linear functiona equations, variational modeling, least-squares, Matrix factorization & PCA, signal theory & aliasing) is assumed to be given. Students who have not attended Modelling I are encouraged to participate in part II if they have gained knowledge in these topic areas from other courses (for example in math or physics).Recommended reading list
Bayessian statistics: Richard O. Duda, Peter E. Hart, David G. Stork: Pattern Classification (Second Edition). Wiley & Sons 2000.Differential geometry: Alfred Gray: Modern Differential Geometry of Curves and Surfaces with Mathematica (Second Edition). CRC 1997.
Further readings: tba. during the lecture.
Contents
While the first part, Modeling I, has focused predominantely on linear models, we will in part II extend our attention to non-lineare models. In addition, we also consider probabilistic models, where uncertainty has to be taken into account.Preliminary Topic list:
- Baysian statistics, modeling of uncertainty, relation to variational modeling.
- Discriminative and generative learning.
- Differential geometry. Differential characterization of 2D and 3D geometry. Intrinsic geometry / Riemannian Manifolds. Optimization on Manifolds.
- Geometric descriptors and correspondences.
- Symmetry
This topic list is preliminary; the course is held this semester for the first time; accordingly, changes / refocusing in some details might still be possible.
As in part I (Modeling I), our focus is to bring theory and pratice together. We will try out all of these methods directly in practical applications.
Dates
| Date (Day of the week) | Time | Location |
|---|---|---|
| 10/22/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 10/29/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 11/05/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 11/12/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 11/19/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 11/26/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 12/03/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 12/10/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 12/17/2015 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 01/07/2016 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 01/14/2016 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 01/21/2016 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 01/28/2016 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |
| 02/04/2016 (Thursday) | 14:00 - 16:00 | 05 136 2413 - Neubau Physik/Mathematik |