1 citations · 1 across the 6 of their papers we have counts for
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Time-Varying Data as Sheaves: an Invitation to Narratives
Wilmer Leal, Benjamin Merlin Bumpus, Jana K. Nickel +3
Modern science and engineering increasingly rely on time-varying data, yet the mathematical tools used to model temporal phenomena are often developed within separate disciplines,…
A Parameterized Algorithm for Testing whether the Limit of a Diagram is Empty
Ernst Althaus, Benjamin Merlin Bumpus, James Fairbanks +2
A limit of a (small) diagram in a complete category can be thought of as specifying a set of equations involving the objects of . To motivate this intuitively,…
Towards a Unified Theory of Time-Varying Data
Benjamin Merlin Bumpus, James Fairbanks, Martti Karvonen +2
What is a time-varying graph, a time-varying topological space, or, more generally, a mathematical structure that evolves over time? In this work, we lay the foundations for a gene…