70 citations · 316 across the 56 of their papers we have counts for
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math.AT2018★ 70 cited
Toward a Spectral Theory of Cellular Sheaves
Jakob Hansen, Robert Ghrist
This paper outlines a program in what one might call spectral sheaf theory --- an extension of spectral graph theory to cellular sheaves. By lifting the combinatorial graph Laplaci…
math.AT2018★ 1 cited
Minimal Unimodal Decompositions on Trees
Yuliy Baryshnikov, Robert Ghrist
The decomposition of a density function on a domain into a minimal sum of unimodal components is a fundamental problem in statistics, leading to the topological invariant of unimod…
math.AT2018★ 3 cited
Persistent Homology and Euler Integral Transforms
Robert Ghrist, Rachel Levanger, Huy Mai
The Euler calculus -- an integral calculus based on Euler characteristic as a valuation on constructible functions -- is shown to be an incisive tool for answering questions about…