3 papers
math.AT2020
Length and Multiplicities in Graded Commutative Algebra
Mark Blumstein
This paper is a review of concepts from graded commutative algebra with specific attention given to length and multiplicity. The author's motivation for this paper comes from the s…
math.ST2019
Multidimensional Scaling on Metric Measure Spaces
Henry Adams, Mark Blumstein, Lara Kassab
Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We o…
cs.LG2018
Multi-Dimensional Scaling on Groups
Mark Blumstein, Henry Kvinge
Leveraging the intrinsic symmetries in data for clear and efficient analysis is an important theme in signal processing and other data-driven sciences. A basic example of this is t…