Opinion Dynamics on Discourse Sheaves

Publisher arXiv

Persistence by Parts: Multiscale Feature Detection via Distributed Persistent Homology

Publisher arXiv

Decomposiiton of nonlinear persistence modules

Publisher Gregoryhenselman.org

Distributed Optimization with Sheaf Homological Constraints

Publisher Institute of Electrical and Electronics Engineers

Learning Sheaf Laplacians from Smooth Signals

Publisher Institute of Electrical and Electronics Engineers

Minimal unimodal decomposition on trees

Publisher Journal of Applied and Computational Topology

The importance of the whole: Topological data analysis for the network neuroscientist

Publisher MIT Press Journals

Toward a spectral theory of cellular sheaves

Publisher Journal of Applied and Computational Topology

Homological algebra and data

Publisher The Mathematics of Data

Path homotopy invariants and their application to optimal trajectory planning

Publisher Springer

Persistent homology and Euler integral transforms

Publisher Journal of Applied and Computational Topology

Stokes’s Theorem, Data, and the Polar Ice Caps

Publisher Taylor and Francis Inc.

MOOCs and the future of mathematics

Publisher Notices of the American Mathematical Society

Positive Alexander duality for pursuit and evasion

Publisher Society for Industrial and Applied Mathematics (SIAM)

Discrete Morse Theory for Computing Cellular Sheaf Cohomology

Publisher Springer

Matroid Filtrations and computational persistent homolgy

Publisher arXiv

Reconstruction of Euclidean embeddings in dense networks

Publisher Institute of Electrical and Electronics Engineers (IEEE)

Two’s company, three (or more) is a simplex: Algebraic-topological tools for understanding higher-order structure in neural data

Publisher Springer

Braid Floer homology

Publisher Academic Press

Persistent Homology for Path Planning in Uncertain Environments

Publisher Institute of Electrical and Electronics Engineers