Robert Ghrist

Chad Giusti

J. Appl. Comput. Topol., September, 2023

Network Preference Dynamics using Lattice Theory.

[BibT_eX]

[DOI]

Gregory Henselman-Petrusek

CoRR, 2023

2022

Asynchronous Diffusion of Data on Networked Lattices.

[BibT_eX]

[DOI]

CoRR, 2022

Persistent Extension and Analogous Bars: Data-Induced Relations Between Persistence Barcodes.

[BibT_eX]

[DOI]

Hee Rhang Yoon

Chad Giusti

CoRR, 2022

Harmonicity in Networked Social Information Dynamics.

[BibT_eX]

[DOI]

Proceedings of the Workshop Proceedings of the 16th International AAAI Conference on Web and Social Media, 2022

Network SheafModels for Social Information Dynamics.

[BibT_eX]

[DOI]

Proceedings of the 8th IEEE International Conference on Collaboration and Internet Computing, 2022

Diffusion of Information on Networked Lattices by Gossip.

[BibT_eX]

[DOI]

Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021

Reviews.

[BibT_eX]

[DOI]

Am. Math. Mon., 2021

Opinion Dynamics on Discourse Sheaves.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2021

An optimal property of the hyperplane system in a finite cubing.

[BibT_eX]

[DOI]

Dan P. Guralnik

Auton. Robots, 2021

On Laplacians (Invited Talk).

[BibT_eX]

[DOI]

Proceedings of the 37th International Symposium on Computational Geometry, 2021

2020

Minimal unimodal decomposition on trees.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2020

Quiver Signal Processing (QSP).

[BibT_eX]

[DOI]

Alejandro Parada-Mayorga

Alejandro Ribeiro

CoRR, 2020

Distributed Locally Non-interfering Connectivity via Linear Temporal Logic.

[BibT_eX]

[DOI]

CoRR, 2020

Path Signatures on Lie Groups.

[BibT_eX]

[DOI]

Darrick Lee

CoRR, 2020

On Sensor Network Localization Exploiting Topological Constraints.

[BibT_eX]

[DOI]

Alberto Speranzon

Shashank Shivkumar

Proceedings of the 2020 American Control Conference, 2020

2019

Toward a spectral theory of cellular sheaves.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2019

Learning Sheaf Laplacians from Smooth Signals.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2019

Distributed Optimization with Sheaf Homological Constraints.

[BibT_eX]

[DOI]

Proceedings of the 57th Annual Allerton Conference on Communication, 2019

2018

Stokes's Theorem, Data, and the Polar Ice Caps.

[BibT_eX]

[DOI]

Am. Math. Mon., 2018

Persistent homology and Euler integral transforms.

[BibT_eX]

[DOI]

Rachel Levanger

Huy Mai

J. Appl. Comput. Topol., 2018

Path homotopy invariants and their application to optimal trajectory planning.

[BibT_eX]

[DOI]

Ann. Math. Artif. Intell., 2018

2017

Positive Alexander Duality for Pursuit and Evasion.

[BibT_eX]

[DOI]

Sanjeevi Krishnan

SIAM J. Appl. Algebra Geom., 2017

2016

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

[BibT_eX]

[DOI]

Chad Giusti

Danielle S. Bassett

J. Comput. Neurosci., 2016

Discrete Morse Theory for Computing Cellular Sheaf Cohomology.

[BibT_eX]

[DOI]

Justin Curry

Vidit Nanda

Found. Comput. Math., 2016

Reconstruction of Euclidean embeddings in dense networks.

[BibT_eX]

[DOI]

Sarah Costrell

Proceedings of the 2016 IEEE Global Conference on Signal and Information Processing, 2016

2015

Persistent Homology for Path Planning in Uncertain Environments.

[BibT_eX]

[DOI]

IEEE Trans. Robotics, 2015

2014

Multi-robot coverage and exploration on Riemannian manifolds with boundaries.

[BibT_eX]

[DOI]

Int. J. Robotics Res., 2014

Pursuit-evasion game for normal distributions.

[BibT_eX]

[DOI]

Chanyoung Jun

Proceedings of the 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2014

Cyclic network automata and cohomological waves.

[BibT_eX]

[DOI]

Yiqing Cai

Proceedings of the IPSN'14, 2014

2013

Invariants for homology classes with application to optimal search and planning problem in robotics.

[BibT_eX]

[DOI]

Ann. Math. Artif. Intell., 2013

Topological exploration of unknown and partially known environments.

[BibT_eX]

[DOI]

Soonkyum Kim

Proceedings of the 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2013

Homological sensing for mobile robot localization.

[BibT_eX]

[DOI]

Jason C. Derenick

Alberto Speranzon

Proceedings of the 2013 IEEE International Conference on Robotics and Automation, 2013

A topological max-flow-min-cut theorem.

[BibT_eX]

[DOI]

Sanjeevi Krishnan

Proceedings of the IEEE Global Conference on Signal and Information Processing, 2013

2012

Topological Localization Via Signals of Opportunity.

[BibT_eX]

[DOI]

Michael Robinson

IEEE Trans. Signal Process., 2012

Distributed computation of coverage in sensor networks by homological methods.

[BibT_eX]

[DOI]

Appl. Algebra Eng. Commun. Comput., 2012

Multi-robot Coverage and Exploration in Non-Euclidean Metric Spaces.

[BibT_eX]

[DOI]

Proceedings of the Algorithmic Foundations of Robotics X, 2012

Cyclic network automata for indoor sensor network.

[BibT_eX]

[DOI]

Yiqing Cai

Proceedings of the 11th International Conference on Information Processing in Sensor Networks (co-located with CPS Week 2012), 2012

2011

Mapping and Pursuit-Evasion Strategies For a Simple Wall-Following Robot.

[BibT_eX]

[DOI]

IEEE Trans. Robotics, 2011

2010

Vietoris-Rips Complexes of Planar Point Sets.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 2010

2009

Target Enumeration via Euler Characteristic Integrals.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2009

2008

Target Enumeration via Integration over Planar Sensor Networks.

[BibT_eX]

[DOI]

Proceedings of the Robotics: Science and Systems IV, 2008

2007

The geometry and topology of reconfiguration.

[BibT_eX]

[DOI]

Valerie Peterson

Adv. Appl. Math., 2007

2006

A grammatical approach to self-organizing robotic systems.

[BibT_eX]

[DOI]

Eric Klavins

IEEE Trans. Autom. Control., 2006

Nonpositive Curvature and Pareto Optimal Coordination of Robots.

[BibT_eX]

[DOI]

Steven M. LaValle

SIAM J. Control. Optim., 2006

Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology.

[BibT_eX]

[DOI]

Vin de Silva

Int. J. Robotics Res., 2006

Surrounding Nodes in Coordinate-Free Networks.

[BibT_eX]

[DOI]

Proceedings of the Algorithmic Foundation of Robotics VII, 2006

Pursuit and Evasion in Non-convex Domains of Arbitrary Dimensions.

[BibT_eX]

[DOI]

Stephanie Alexander

Richard Bishop

Proceedings of the Robotics: Science and Systems II, 2006

2005

Generic Hydrodynamic Instability of Curl Eigenfields.

[BibT_eX]

[DOI]

John B. Etnyre

SIAM J. Appl. Dyn. Syst., 2005

Computing Pareto Optimal Coordinations on Roadmaps.

[BibT_eX]

[DOI]

Jason M. O'Kane

Steven M. LaValle

Int. J. Robotics Res., 2005

Blind Swarms for Coverage in 2-D.

[BibT_eX]

[DOI]

Vin de Silva

Abubakr Muhammad

Proceedings of the Robotics: Science and Systems I, 2005

Coverage and hole-detection in sensor networks via homology.

[BibT_eX]

[DOI]

Abubakr Muhammad

Proceedings of the Fourth International Symposium on Information Processing in Sensor Networks, 2005

Bitbots: Simple Robots Solving Complex Tasks.

[BibT_eX]

[DOI]

Proceedings of the Proceedings, 2005

2004

State Complexes for Metamorphic Robots.

[BibT_eX]

[DOI]

Aaron Abrams

Int. J. Robotics Res., 2004

Pareto Optimal Coordination on Roadmaps.

[BibT_eX]

[DOI]

Jason M. O'Kane

Steven M. LaValle

Proceedings of the Algorithmic Foundations of Robotics VI, 2004

Graph Grammars for Self Assembling Robotic Systems.

[BibT_eX]

[DOI]

Eric Klavins

Proceedings of the 2004 IEEE International Conference on Robotics and Automation, 2004

Grammatical Self Assembly for Planar Tiles.

[BibT_eX]

[DOI]

Proceedings of the 2004 International Conference on MEMS, 2004

2002

Finding Topology in a Factory: Configuration Spaces.

[BibT_eX]

[DOI]

Aaron Abrams

Am. Math. Mon., 2002

Safe Cooperative Robot Dynamics on Graphs.

[BibT_eX]

[DOI]

Daniel E. Koditschek

SIAM J. Control. Optim., 2002

Shape Complexes for Metamorhpic Robots.

[BibT_eX]

[DOI]

Proceedings of the Algorithmic Foundations of Robotics V, 2002

2000

Resonant Gluing bifurcations.

[BibT_eX]

[DOI]