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About: Back propagation mathematics

Module by: Krzysztof Cyran

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Name: Back propagation mathematics
ID: m11120
Language: English (en)
Summary: This module explains mathematical background of the most popular learning algorithm, called back propagation. It is widely used in multilayer perceptrons training but it's usage is not limited to this particular type of neural network.
Subject: Science and Technology
Keywords: back propagation, first order rule, gradient based learning, gradient optimization, learning methods, neural networks, steepest descent method
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Krzysztof Cyran (chrisc1@rice.edu)
Copyright Holders: Krzysztof Cyran (chrisc1@rice.edu)
Maintainers: Krzysztof Cyran (chrisc1@rice.edu)
Version: 2.1 (history)
Created: Apr 22, 2003 12:00 am GMT-5
Revised: Jun 9, 2005 9:36 am GMT-5

Version History

Version: 2.1 Jun 9, 2005 9:36 am GMT-5 by Elizabeth Gregory
Changes: 
Updated from CNXML 0.4 to CNXML 0.5
Version: 2.0 Apr 22, 2003 12:00 am GMT-5 by Krzysztof Cyran
Changes: 
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American Chemical Society (ACS) Style Guide:

Cyran, K. Back propagation mathematics, Connexions Web site. http://cnx.org/content/m11120/2.1/, Jun 9, 2005.

American Medical Assocation (AMA) Manual of Style:

Cyran K. Back propagation mathematics [Connexions Web site]. June 9, 2005. Available at: http://cnx.org/content/m11120/2.1/.

American Psychological Assocation (APA) Publication Manual:

Cyran, K. (2005, June 9). Back propagation mathematics. Retrieved from the Connexions Web site: http://cnx.org/content/m11120/2.1/

Chicago Manual of Style (Bibliography):

Cyran, Krzysztof. "Back propagation mathematics." Connexions. June 9, 2005. http://cnx.org/content/m11120/2.1/.

Chicago Manual of Style (Note):

Krzysztof Cyran, "Back propagation mathematics," Connexions, June 9, 2005, http://cnx.org/content/m11120/2.1/.

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

Cyran, K. 2005. Back propagation mathematics. Connexions, June 9, 2005. http://cnx.org/content/m11120/2.1/.

Modern Languages Association (MLA) Style Manual:

Cyran, Krzysztof. Back propagation mathematics. Connexions. 9 June 2005 <http://cnx.org/content/m11120/2.1/>.