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Dimensionality Reduction

7
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08-17-2010
04:31 AM ET (US)
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6
Deleted by topic administrator 07-22-2006 10:25 AM
5
Alyosha Efros
05-01-2006
05:27 AM ET (US)
Mohit's question about noise is partially discussed in the following paper by yours truly:
http://www.ri.cmu.edu/pub_files/pub4/efros...alexei_a_2004_1.pdf
I can briefly go over that, if there is time.
4
Mohit Gupta
04-29-2006
06:58 PM ET (US)

How do LLE and IsoMap compare in terms of running time? IsoMap is O(N^2 logn); I am not sure about LLE?
3
Mohit Gupta
04-29-2006
06:46 PM ET (US)

These methods work great on the examples shown in the paper, and are indeed powerful Non-Linear DImensionality reduction tools.

However, it would be interesting to see how they deal with noise -- for example, if there is a small, thin bridge connecting two adjacent layers of the swiss roll... would they go completely berserk? Or will they still be able to do something intelligent? I somehow suspect the former, specially for LLE.
2
Tomasz Malisiewicz
04-29-2006
01:53 AM ET (US)
A really great resource for non-linear dimensionality reduction techniques are the Lawrence Saul video lectures (4 of them; each one is 1 hr) found at:

http://www.oid.ucla.edu/Webcast/ipam/

Enjoy!
1
Dave BradleyPerson was signed in when posted
04-03-2006
08:48 AM ET (US)
Please post your thoughts on the effectiveness of non-linear dimensionality reduction here.

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