Benjamin Filippenko

activity

20182022

most citedTopological Deep Learning

9 citations · 11 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.AT2022

Evasion paths by homotopy limits

Gunnar Carlsson, Benjamin Filippenko, Wyatt Mackey

The evasion paths problem asks when a dynamically changing space can be navigated: imagine guards are patrolling a region, for instance, and we need to stay outside their view. We…

math.AT2020★ 2 cited

The space of sections of a smooth function

Gunnar Carlsson, Benjamin Filippenko

Given a compact manifold $X$ with boundary and a submersion $f : X \to Y$ whose restriction to the boundary of $X$ has isolated critical points with distinct critical value…

math.AT2019

Persistent homology of the sum metric

Gunnar Carlsson, Benjamin Filippenko

Given finite metric spaces $(X, d_{X})$ and $(Y, d_{Y})$ , we investigate the persistent homology $P H_{*} (X \times Y)$ of the Cartesian product $X \times Y$ equipped with the sum metric $…