Department of Mathematics

Student Applied Math Seminar

  •  Edem Boahen, MSU
  •  On outer Bi-Lipschitz Extensions of Linear JL-map embeddings of low-dimensional submanifolds of R^n
  •  03/20/2023
  •  2:00 PM - 3:00 PM
  •  C329 Wells Hall (Virtual Meeting Link)
  •  Craig Gross (

Dimensionality reduction is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension. A classical embedding result is the well-know “Johnson–Lindenstrauss”. The JL lemma shows how a $n$-set of points in $\mathbb{R}^N$ can be embedded into a smaller dimensional space. In this talk we present a result similar to the JL-embedding in the interesting case where instead of a discrete set we embed a compact $d$-dimensional submanifold $\mathcal{M}$ of $\mathbb{R}^N$ into $\mathbb{R}^m $ where $m$ depends on the volume, reach and dimension of $\mathcal{M}.$ $\\$ This will be a hybrid seminar and take place in C329 Wells Hall and via Zoom at .



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science