[BANANA] Scientific Computing Seminar, August 25, 2006

[Parry Husbands]

Date: Friday, August 25, 2006
Time: 1:00pm-2:00pm
Location: Building 50A-5132

Seminar Speaker: Morten Morup
                  Stanford University
                  http://www.mortenmorup.dk/

Title: Extensions of Non-Negative Matrix
        Factorization (NMF) to Higher Order Data

Abstract:

Higher order matrix (tensor) decompositions are mainly
used in psychometrics, chemometrics, image analysis,
graph analysis and signal processing. For higher order
data the two most commonly used decompositions are the
PARAFAC and the TUCKER model. If the data analyzed is
non-negative it may be relevant to consider additive
non-negative components. We here extend non-negative
matrix factorization (NMF) to form algorithms for
non-negative TUCKER and PARAFAC decompositions. Furthermore,
we extend the PARAFAC model to account for shift and
echo effects in the data. To improve uniqueness of the
decompositions we use updates that can impose sparseness
in any combination of modalities. The algorithms developed
are demonstrated on a range of datasets spanning from
electroencephalography to sound and chemometry signals.

Sponsor of Seminar: Juan Meza