3 papers
cs.LG2021
Weighting vectors for machine learning: numerical harmonic analysis applied to boundary detection
Eric Bunch, Jeffery Kline, Daniel Dickinson +2
Metric space magnitude, an active field of research in algebraic topology, is a scalar quantity that summarizes the effective number of distinct points that live in a general metri…
cs.LG2020
Practical applications of metric space magnitude and weighting vectors
Eric Bunch, Daniel Dickinson, Jeffery Kline +1
Metric space magnitude, an active subject of research in algebraic topology, originally arose in the context of biology, where it was used to represent the effective number of dist…
math.AT2019
Approximating the Convex Hull via Metric Space Magnitude
Glenn Fung, Eric Bunch, Dan Dickinson
Magnitude of a finite metric space and the related notion of magnitude functions on metric spaces is an active area of research in algebraic topology. Magnitude originally arose in…