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BEGIN:VEVENT
UID:ac211e876dfcd3d54b4a20a44f215ba9
CATEGORIES:Human and computer vision series:Fall 2008
CREATED:20151203T141541
SUMMARY:Large-Scale Manifold Learning
LOCATION:Research Scientist\, Google Research\, NY
DESCRIPTION:Manifold learning provides a principled way of extracting low-dimensional n
onlinear structure from high-dimensional data. Even though most of the mani
fold learning techniques need large amount of data to faithfully capture th
e true underlying manifold, not much work has been done on learning manifol
ds from a large number of data points. In this talk, I will address the pro
blem of extracting low-dimensional manifold structure given millions of hig
h-dimensional face images. Specifically, I will discuss the computational c
hallenges in nonlinear dimensionality reduction via Isomap and Laplacian Ei
genmaps, using a graph containing about 18 million nodes and 65 million edg
es.
Most manifold learning techniques require spectral decompositio
n of dense matrices. The complexity of such decomposition is O(n^3) where n
is the number of data points. For n as large as 18 million, this computati
on becomes infeasible both in time and space. In this talk, I will analyze
two approximate SVD techniques for large dense matrices (Nystrom and Column
-sampling), providing the first theoretical and empirical comparison betwee
n these techniques. The experiments reveal interesting counter-intuitive be
haviors of the two approximations. Next, I will show extensive experiments
on learning low-dimensional embeddings for two large face datasets: CMU-PIE
(35 thousand faces) and a web dataset (18 million faces).
Furt
her Readings:
http://www.cs.cmu.edu/~skumar/largeManifold.pdf
http://www.dai.ed.ac.uk/h
omes/ckiw/postscript/nynips2.ps.gz
http://cs-www.cs.yale.edu/homes/kannan/P
apers/lowrank.pdf
Brief Bio:
Sanjiv Kumar received his PhD fr
om The Robotics Institute, Carnegie Mellon
University in 2005. Since the
n, he has been working at Google Research, NY
as a Research Scientist. H
is research interests include statistical
learning, computer vision, gra
phical models and medical imaging.
CONTACT:Sanjiv Kumar
X-EXTRAINFO:Sanjiv Kumar (http://www.cs.cmu.edu/~skumar)
DTSTAMP:20240329T120647
DTSTART;TZID=America/New_York:20081027T130000
DTEND;TZID=America/New_York:20081027T140000
SEQUENCE:0
TRANSP:OPAQUE
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