Logo: Max Planck Institute for Biological Cybernetics
MPI for Biological Cybernetics
Dept. Schölkopf
Spemannstraße 38
72076 Tübingen
 
Telephone:  +49-7071-601-564
Telefax:  +49-7071-601-552
e-mail:  matthias.franz@tuebingen.mpg.de
 

 
 
 
 

My new homepage is:

http://www-home.fh-konstanz.de/~mfranz/




Teaching: Unsupervised Learning
Learning in Computer Vision II
Code: Volterra/Wiener series estimation using polynomial kernels

Grafik

Implicit Wiener Series for Higher-Order Image Analysis. The computation of classical higher-order statistics such as higher-order moments or spectra is difficult for images due to the huge number of terms to be estimated and interpreted. We propose an alternative approach in which multiplicative pixel interactions are described by a series of Wiener functionals. Since the functionals are estimated implicitly via polynomial kernels, the combinatorial explosion associated with the classical higher-order statistics is avoided (project details).


Grafik

Iterative Kernel PCA for image modeling. In contrast to other patch-based modeling approaches such as PCA, ICA or sparse coding, KPCA is capable of capturing nonlinear interactions of the basis elements of the image. The original form of KPCA, however, can be only applied to strongly restricted image classes due to the limited number of training examples that can be processed. We therefore propose a new iterative method for performing KPCA, the Kernel Hebbian Algorithm (project details).


Grafik

Computational modeling of fly tangential neurons. Tangential neurons in the fly brain are sensitive to the typical optic flow patterns generated during self-motion. We examine whether a simplified model of these neurons can be used to predict the measured motion sensitivities in the fly. The model is tested in a robotic self-motion estimation task. (project details).


more projects...