J. Carlsson

activity

20112026

most citedDynamic Network Models

6 citations · 6 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.AT2026

Transport based embeddings with topological guarantees

Erik Carlsson, John Carlsson

Point clouds arising in image collections, samples from Markov chain Monte Carlo, or states of a random walk, often have a simple underlying geometry which is obscured by noise, hi…

math.AT2023

Alpha shapes in kernel density estimation

Erik Carlsson, John Carlsson

For every Gaussian kernel density estimator $f (x) = \sum_{i} a_{i} exp (- ∥ x - x_{i} ∥^{2} /2 h^{2})$ associated to a point cloud $D = {x_{1}, ..., x_{N}} \subset R^{d}$ , we def…

math.AT2021

A new construction for sublevel set persistence

Erik Carlsson, John Carlsson

We construct a filtered simplicial complex $(X_{L}, f_{L})$ associated to a subset $X \subset R^{d}$ , a function $f : X \to R$ with compactly supported sublevel sets…