WiSe 2016/17

Modellierung II

Univ.-Prof. Dr. Michael Wand

Shortname: 08.079.318
Course No.: 08.079.318

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 particular, this comprises geometry, i.e., complex subsets of the Euclidean space beyond simple, flat Hyperplanes that our attention focused on in Modeling I. In addition, we also consider some aspects of probabilistic modeling, where uncertainty has to be taken into account.

Topic list:

  1. Baysian statistics, modeling of uncertainty, relation to variational modeling (and in depth discussion of variational methods from modeling I).
  2. Representations of geometry (parametric and implicit models, sampled representations such as point clouds).
  3. Differential geometry. Differential characterization of 2D and 3D geometry. Intrinsic geometry / Riemannian Manifolds. Optimization on Manifolds.
  4. Geometric descriptors and correspondences.
  5. Optionally, if there is time in the end: Symmetry (combining geometry & group theory; not as boring than it sounds!)

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.


 

Requirements / organisational issues

Modelling II builds on top of Modelling I (previous semester). Familiarity with the corresponding topics (linear vector spaces, function spaces, linear functional equations, variational modeling, least-squares, Matrix factorization & PCA, signal theory & aliasing) is assumed to be given. Students who have not attended Modelling I are still encouraged to participate in part II if they have already 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.

Dates:

Date (Day of the week)TimeLocation
10/27/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/03/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/10/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/17/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/24/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/01/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/08/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/15/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/22/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/12/2017 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/19/2017 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/26/2017 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
02/02/2017 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
02/09/2017 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik

Semester: WiSe 2016/17