Robotics Institute
Seminar, February 13
Time
and Place | Seminar Abstract | Speaker
Biography | Speaker Appointments
Generalized Principal Component Analysis
GPCA: Geometric Clustering for Vision and Control Networks
Assistant Professor of Biomedical Engineering
Time and Place |
Mauldin Auditorium (NSH 1305)
Refreshments 3:15 pm
Talk 3:30 pm
This
talk will show that for a wide class of segmentation problems (eigenvector
segmentation, mixtures of subspaces, mixtures of fundamental matrices/trifocal
tensors, mixtures of linear dynamical models), the "chicken-and-egg"
dilemma can be tackled using algebraic geometric techniques. In fact, it is
possible to eliminate the data segmentation step algebraically and then use all
the data to recover all the models without previously segmenting the data. The
solution can be obtained using linear algebraic techniques and is closed form
if and only if the number of groups is less than or equal to 4. Examples of the
applications of GPCA to segmentation of static and dynamic scenes and
identification of hybrid dynamical models systems will also be presented.
Speaker Biography |
Professor Ren Vidal received his
B.S. degree in Electrical Engineering (highest honors) from the Pontificia Universidad
Catlica de Chile in 1997 and his M.S. and Ph.D. degrees in Electrical
Engineering and Computer Sciences from the
http://www.cis.jhu.edu/~rvidal
Speaker Appointments |
For appointments, please contact Martial Hebert
The Robotics Institute is part of the School of Computer Science, Carnegie Mellon University.