Connexions

Sections
You are here: Home » Content » Takens' Embedding Theorem

About: Takens' Embedding Theorem

Module by: Han Lun Yap. E-mail the author

View the content: Takens' Embedding Theorem

Metadata

Name: Takens' Embedding Theorem
ID: m38655
Language: English (en)
Summary: Takens’ embedding theorem tells us that information about the hidden states of a dynamical system can be preserved in a time series output. Indeed, a variety of algorithms for tasks such as time series prediction and attractor dimension estimation exploit Takens’ result. The goal of this module is thus to detail and discuss Takens' result.
Subject: Mathematics and Statistics
Keywords: Embedding, State Space Methods, Time Series Analysis, Time Series Prediction
License: Creative Commons Attribution License CC-BY 3.0
Authors: Han Lun Yap (yaphanlun@gatech.edu)
Copyright Holders: Han Lun Yap (yaphanlun@gatech.edu)
Maintainers: Han Lun Yap (yaphanlun@gatech.edu)
Latest version: 1.2 (history)
First publication date: Jul 11, 2011 12:43 pm -0500
Last revision to module: Jul 15, 2011 10:26 am -0500

Downloads

PDF: m38655_1.2.pdf PDF file, for viewing content offline and printing. Learn more.
EPUB: m38655_1.2.epub Electronic publication file, for viewing in handheld devices. Learn more.
XML: m38655_1.2.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.
Source Export ZIP: m38655_1.2.zip ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more.
Offline ZIP: m38655_1.2_offline.zip An offline HTML copy of the content. Also includes XML, included media files, and other support files. Learn more.

Version History

Version: 1.2 Jul 15, 2011 10:26 am -0500 by Han Lun Yap
Changes: 
Corrected metadata
Version: 1.1 Jul 15, 2011 10:22 am -0500 by Han Lun Yap
Changes: 
New module on Takens' embedding theorem.

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include

  • the authors' names: Han Lun Yap
  • the title of the work: Takens' Embedding Theorem
  • the Connexions URL where the work can be found: http://cnx.org/content/m38655/1.2/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Yap, H. Takens' Embedding Theorem, Connexions Web site. http://cnx.org/content/m38655/1.2/, Jul 15, 2011.

American Medical Assocation (AMA) Manual of Style:

Yap H. Takens' Embedding Theorem [Connexions Web site]. July 15, 2011. Available at: http://cnx.org/content/m38655/1.2/.

American Psychological Assocation (APA) Publication Manual:

Yap, H. (2011, July 15). Takens' Embedding Theorem. Retrieved from the Connexions Web site: http://cnx.org/content/m38655/1.2/

Chicago Manual of Style (Bibliography):

Yap, Han Lun. "Takens' Embedding Theorem." Connexions. July 15, 2011. http://cnx.org/content/m38655/1.2/.

Chicago Manual of Style (Note):

Han Lun Yap, "Takens' Embedding Theorem," Connexions, July 15, 2011, http://cnx.org/content/m38655/1.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Yap, H. 2011. Takens' Embedding Theorem. Connexions, July 15, 2011. http://cnx.org/content/m38655/1.2/.

Modern Languages Association (MLA) Style Manual:

Yap, Han Lun. Takens' Embedding Theorem. Connexions. 15 July 2011 <http://cnx.org/content/m38655/1.2/>.