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Department of Statistics, The Ohio State University
Statistics and Biostatistics Colloquium Series
The Secret Life of Linear Methods: Why they work, do not work,
and can be made to work
Aleix M. Martinez
Department of Electrical and Computer Engineering, The Ohio State University
3:30PM - Thursday, March 29, 2007
Room 170, Eighteenth Avenue Bldg. (EA 170)
ABSTRACT
Many problems in the cognitive sciences and engineering can be formulated
as a pattern recognition one. In such problems, linear methods are
preferred for their simplicity and tractability. Unfortunately,
linear methods have many limitations, of which several are still
unknown. Understanding these limitations is a key to advancing the current
state of the art. In this talk, we will address these issues within the
context of feature extraction and classification. We will define when
linear feature extraction methods do not work and how this knowledge
can be used to propose algorithms that are guaranteed to work in a
large number of applications. Several results in vision, linguistics,
and the modeling of the primary visual cortex will be provided. Time
permitting, we will sketch the problem posed by classical normalization
procedures. In particular, that of norm normalization, generally used
to make texture invariant to the intensity of the light source, shape
to scale and rotation, and for modeling mtDNA in genetics. Open problems
will be outlined during the course of the talk.
Bio: Aleix M. Martinez is an assistant 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 affiliated with the Department of
Biomedical Engineering and to the Center for Cognitive Science. Prior
to joining OSU, he was affiliated with the Electrical and Computer
Engineering Department at Purdue University and with the Sony Computer
Science Lab. He has organized, chaired or been part of the program
committee of several major conferences and workshops, and currently
serves as an associate editor of IEEE Transactions on Pattern Analysis
and Machine Intelligence. His areas of interest are learning, vision,
linguistics, and their interaction.
Meet the speaker in Room 212 Cockins Hall at 4:30
p.m. Refreshments will be served.
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