Chennai Mathematical Institute

Seminars




Data Science Seminar
Date: Friday, 25 August 2023
Time: 2:00 PM
Venue: NKN Hall
Johnson-Lindenstrauss Lemma and its Applications

Shambhavi Suryanarayanan
Princeton University, USA.
25-08-23


Abstract

The Johnson-Lindenstrauss (JL) lemma states that given any point cloud in a high dimensional space, one can embed this in a lower dimensional space in a manner that approximately preserves pair-wise distances between the points. In this talk, we shall look at how certain random ,projection maps can be used to get such embeddings. Further, some applications of these ideas to solve approximate clustering, approximate linear regression and sparse vector recovery problems shall also be discussed.
Bio: Shambhavi is pursuing her PhD in the Operations Research and Financial Engineering Department at Princeton University. Her research lies broadly in the area of mathematical data science with a particular focus on problems related to compression and recovery of tensors.