Search Results for author: Robert Ghrist

Found 8 papers, 4 papers with code

Quiver Signal Processing (QSP)

no code implementations22 Oct 2020 Alejandro Parada-Mayorga, Hans Riess, Alejandro Ribeiro, Robert Ghrist

In this paper we state the basics for a signal processing framework on quiver representations.

A Temporal Logic-Based Hierarchical Network Connectivity Controller

no code implementations1 Sep 2020 Hans Riess, Yiannis Kantaros, George Pappas, Robert Ghrist

We show that these constraints along with the requirement of propagating information in the network can be captured by a Linear Temporal Logic (LTL) framework.

Path Signatures on Lie Groups

1 code implementation2 Jul 2020 Darrick Lee, Robert Ghrist

We lift the theory of path signatures to the setting of Lie group valued time series, adapting these tools for time series with underlying geometric constraints.

Action Recognition Temporal Action Localization +1

Toward a Spectral Theory of Cellular Sheaves

1 code implementation4 Aug 2018 Jakob Hansen, Robert Ghrist

This paper outlines a program in what one might call spectral sheaf theory --- an extension of spectral graph theory to cellular sheaves.

Algebraic Topology Combinatorics 55N30, 05C50

Matroid Filtrations and Computational Persistent Homology

3 code implementations1 Jun 2016 Gregory Henselman, Robert Ghrist

This technical report introduces a novel approach to efficient computation in homological algebra over fields, with particular emphasis on computing the persistent homology of a filtered topological cell complex.

Algebraic Topology Combinatorics

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

no code implementations7 Jan 2016 Chad Giusti, Robert Ghrist, Danielle S. Bassett

Specifically, we explore the use of \emph{simplicial complexes}, a theoretical notion developed in the field of mathematics known as algebraic topology, which is now becoming applicable to real data due to a rapidly growing computational toolset.

Neurons and Cognition Algebraic Topology Quantitative Methods 92-02, 92B20, 57Q05

Discrete Morse theory for computing cellular sheaf cohomology

1 code implementation23 Dec 2013 Justin Curry, Robert Ghrist, Vidit Nanda

Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology.

Algebraic Topology 55-04

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