2 code implementations • NeurIPS 2023 • David Loiseaux, Luis Scoccola, Mathieu Carrière, Magnus Bakke Botnan, Steve Oudot
Most applications of PH focus on the one-parameter case -- where the descriptors summarize the changes in topology of data as it is filtered by a single quantity of interest -- and there is now a wide array of methods enabling the use of one-parameter PH descriptors in data science, which rely on the stable vectorization of these descriptors as elements of a Hilbert space.
no code implementations • 22 Oct 2015 • Gard Spreemann, Benjamin Dunn, Magnus Bakke Botnan, Nils A. Baas
We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity.
Neurons and Cognition Algebraic Topology
