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http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/6169| Title: | Recognition of Topological Invariants by Modular Arrays |
| Issue Date: | 9-Oct-2013 |
| Description: | In this paper we study recognition of topological invariant properties of patterns by use of finite, rectangular 2-dimensional, interactive arrays of finite state automata (hereafter called modular arrays). The use of modular arrays as pattern recognition devices has been studied by Atrubin [1] and by Unger [2]. Our aim is to show that modular arrays can not only recognize a large variety of topological invariants, but can do so in times that are almost minimal for a certain class of machines. We begin by describing our model of the modular array as a pattern recognition connectivity. Next, we introduce a fundamental transformation of patterns and prove several interesting properties of the transformation. Finally, we apply the transformation to modular arrays to obtain fast methods of recognizing a wide variety of topological invariants. |
| URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
| Other Identifiers: | AIM-166 http://hdl.handle.net/1721.1/6169 |
| Appears in Collections: | MIT Items |
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