Change search
ReferencesLink to record
Permanent link

Direct link
Topological Analysis of Recurrent Systems
Jozef Stefan Institute. (AI Laboratory)
Pomona College. (Department of Mathematics)
KTH, School of Computer Science and Communication (CSC), Computer Vision and Active Perception, CVAP.ORCID iD: 0000-0001-6322-7542
2012 (English)Conference paper (Refereed)
Abstract [en]

We propose a new framework for the experimental study of periodic, quasi- periodic and recurrent dynamical systems. These behaviors express themselves as topological features which we detect using persistent cohomology. The result- ing 1-cocycles yield circle-valued coordinates associated to the recurrent behavior. We demonstrate how to use these coordinates to perform fundamental tasks like period recovery and parameter choice for delay embeddings. 

Place, publisher, year, edition, pages
2012. 1-5 p.
Keyword [en]
applied algebraic topology, persistent cohomology, circle-valued coordinates, recurrent systems, periodic systems
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-107210OAI: diva2:575329
NIPS 2012 Workshop on Algebraic Topology and Machine Learning, December 8th, Lake Tahoe, Nevada
EU, FP7, Seventh Framework Programme, FP7-ICT-318493-STREP

QC 20121221

Available from: 2012-12-21 Created: 2012-12-10 Last updated: 2015-01-20Bibliographically approved

Open Access in DiVA

fulltext(469 kB)231 downloads
File information
File name FULLTEXT01.pdfFile size 469 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Workshop website

Search in DiVA

By author/editor
Vejdemo-Johansson, Mikael
By organisation
Computer Vision and Active Perception, CVAP
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 231 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 249 hits
ReferencesLink to record
Permanent link

Direct link