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Fall 2013 GRASP Seminar: Aleix Martinez, Ohio State University, “My Adventures with Bayes: Searching for Bayes optimal solutions in machine learning, statistics, computer vision, neuroscience and beyond”

September 20, 2013 @ 11:00 am - 12:00 pm

Abstract: The Bayes criterion is generally
regarded as the holy grail in classification because, for known
distributions, it leads to the smallest possible classification error.
Unfortunately, the Bayes classification
boundary is generally nonlinear and its associated error can only be
calculated under unrealistic assumptions. In this talk, we will show how
these obstacles can be readily and efficiently averted yielding Bayes
optimal algorithms in machine learning, statistics,
computer vision and others. We will first derive Bayes optimal
solutions in Discriminant Analysis. We will then extend the notion of
homoscedasticity (meaning of the same variance) to
spherical-homoscedasticity (meaning of the same variance up to a
and show how this allows us to generalize the Bayes criterion beyond
previously defined domains. This will lead to a new concept of kernel
mappings with applications in classification (machine learning), shape
analysis (statistics), and structure from motion
(computer vision). We will conclude with an outline of ongoing research
for nonparametric kernel learning.


- Learn More

Aleix M. Martinez is an associate
professor in the Department of Electrical and Computer Engineering at
The Ohio State University (OSU), where he is the founder and director of
the Computational Biology and Cognitive Science Lab. He is also
with the Department of Biomedical Engineering and to the Center for
Brain and Cognitive Science where he is a member of the executive
committee. Aleix has served as an associate editor of IEEE Transactions
on Pattern Analysis and Machine Intelligence, Image
and Vision Computing, and Computer Vision and Image Understanding of
which he currently serves as the editor-in-chief. He has been an area
chair for many top conferences and is currently a Program co-Chair for
CVPR 2014.


September 20, 2013
11:00 am - 12:00 pm
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