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math.AT2026
Homotopy-theoretic least squares regression
Cheyne Glass
A presheaf of complexes is constructed on a category of weighted finite subsets of a fixed Euclidean space. To each object, a Koszul complex is assigned which resolves the coordina…
math.AT2024
Topological Data Analysis via Undergraduate Linear Algebra
Cheyne Glass, Elizabeth Vidaurre
Topological Data Analysis has grown in popularity in recent years as a way to apply tools from algebraic topology to large data sets. One of the main tools in topological data anal…
math.AT2021
Modeling bundle-valued forms on the path space with a curved iterated integral
Cheyne J. Glass, Corbett Redden
We introduce a new variant of Hochschild's two-sided bar construction for the setting of curved differential graded algebras. One can geometrically think of the classical bar compl…