2017
Dec
18

# HD-Combinatorics: Steven Damelin, "Approximate and exact alignment of data, extensions and interpolation in R^D--parts"

2:00pm to 4:00pm

## Location:

Sprinzak Building, Room 28

Speaker: Steven Damelin (The American Mathematical Society)

Abstract:

A classical problem in geometry goes as follows. Suppose we are given two sets of $D$ dimensional data, that is, sets of points in $R^D$. The data sets are indexed

by the same set, and we know that pairwise distances between corresponding points are equal in the two data sets. In other words, the sets are isometric. Can this correspondence be extended

to an isometry of the ambient Euclidean space?

In this form the question is not terribly interesting; the answer has long known

Abstract:

A classical problem in geometry goes as follows. Suppose we are given two sets of $D$ dimensional data, that is, sets of points in $R^D$. The data sets are indexed

by the same set, and we know that pairwise distances between corresponding points are equal in the two data sets. In other words, the sets are isometric. Can this correspondence be extended

to an isometry of the ambient Euclidean space?

In this form the question is not terribly interesting; the answer has long known