Conference proceeding
Nonpositive Hopfield Networks in Error Correcting Coding Applications
1993 American Control Conference, pp.1433-1437
American Control Conference (San Francisco, California, 06/02/1993–06/04/1993)
06/1993
DOI: 10.23919/ACC.1993.4793107
Abstract
We consider a class of symmetric Hopfield Networks, with nonpositive synapses and zero thresholds and address a variety of design and analysis issues conected with Unidirectional Error Correcting Coding applications of this class. We show that this class is naturally suited to work in a unidirectional error environment We give a necessary and sufficient condition for a set of vectors to be storable in a Nonpositive Network. We propose a simple word storage algorithm, which is amenable to on line implementation, and guarantees storage of all storage compatible words. We show that the storage algorithm creates a maximally fault tolerant network which is free from spurious stationary points, whenever that freedom is possible. We also give a word forgetting algorithm; a tight, deterministic bound on the storage capacity, and give conditions under which the network created by our storage scheme tolerates a given number of arbitrary physical faults.
Details
- Title: Subtitle
- Nonpositive Hopfield Networks in Error Correcting Coding Applications
- Creators
- Yash Shrivastava - University of IowaSoura Dasgupta - University of IowaS.M Reddy - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- 1993 American Control Conference, pp.1433-1437
- Conference
- American Control Conference (San Francisco, California, 06/02/1993–06/04/1993)
- DOI
- 10.23919/ACC.1993.4793107
- Publisher
- IEEE
- Language
- English
- Date published
- 06/1993
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984198011002771
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