WiSe 2015/16

Modellierung II

Univ.-Prof. Dr. Michael Wand

Shortname: 08.079.318
Course No.: 08.079.318

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:

  1. Baysian statistics, modeling of uncertainty, relation to variational modeling.
  2. Discriminative and generative learning.
  3. Differential geometry. Differential characterization of 2D and 3D geometry. Intrinsic geometry / Riemannian Manifolds. Optimization on Manifolds.
  4. Geometric descriptors and correspondences.
  5. 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.

 

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).

Dates:

Date (Day of the week)TimeLocation
10/22/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
10/29/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/05/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/12/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/19/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
11/26/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/03/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/10/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
12/17/2015 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/07/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/14/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/21/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
01/28/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik
02/04/2016 (Thursday)14.00 to 16.0005 136
2413 - Neubau Physik/Mathematik

Semester: WiSe 2015/16