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Dimensionality Reduction

Air Jordan Flight 45
04:31 AM ET (US)
Air Jordan 1LeBron VII (7) Heroes Pack Deion Sanders and Penny Hardaway were the big names for Nike in the 90s, and surely enough, we all had a pair of Pennys or Deions Diamond Turf Trainers. Paying homage to two of LeBron James childhood idols, the LeBron VII was fashioned in two great colorways, making up the Nike Air Jordan 2010 Heroes Pack. Pennys pair features the trademark crackled swoosh from the Air Jordan 1 of Blue White Black Penny while Primetimes pair features a gaudier, spotlight stealing patent leather red with gold accents. Like Deion returning an INT for a TD or Penny driving to the hole,Air Jordan Flight 45 both pairs will be out of our reach as the LeBron VII Heroes Pack will not see a public release.
Deleted by topic administrator 07-22-2006 10:25 AM
Alyosha Efros
05:27 AM ET (US)
Mohit's question about noise is partially discussed in the following paper by yours truly:
I can briefly go over that, if there is time.
Mohit Gupta
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?
Mohit Gupta
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.
Tomasz Malisiewicz
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:

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

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