Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, May 04, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Jiří Matoušek (Charles Univ., Prague)

On the Johnson-Lindenstrauss flattening lemma

The Johnson-Lindenstrauss lemma is the following important and counter-intuitive fact: Any set of n points in the n-dimensional Euclidean space can be mapped to the Euclidean space of dimension only O(log n) almost isometrically; that is, so that no distance is distorted by more than 1%. A suitable mapping is given by a random projection. We discuss a somewhat streamlined approach to the proof, which subsumes some variants of the lemma recently treated in the literature. Most of the time we will pass from tail estimates to the moment generating function and back; this kind of gymnastics may be useful in other contexts as well.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login