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Bernal S D_2010.pdf - University of Plymouth

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Appendix A<br />

HMAX as a Hierarchical Temporal Memory net­<br />

work<br />

A Hierarchical Temporal Memory (HTM) network can be specirted mathemalically as a gener­<br />

ative model and is dchned by llie following parameters:<br />

• HTM n(xies N'-'. where L = level <strong>of</strong> the hierarchy, and i - index <strong>of</strong> the node within ihal<br />

level.<br />

• Each node contains a set <strong>of</strong> patterns C],...,CM and a set <strong>of</strong> groups/Markov chains gi, ...,gA',<br />

each <strong>of</strong> which is defined over a subset <strong>of</strong> the coincidence patterns in that node.<br />

• Connectivity between child and parent nodes which defines the structure boiiom-up mes­<br />

sages A and top-down messages 7C <strong>of</strong> each node during belief propagation.<br />

Figure A.l provides a schematic representation <strong>of</strong> how an HTM network could impiemenl the<br />

3-level HMAX model (Serre el al. 2007c). The diagram define,s all the above parameters for an<br />

HTM network that captures the structure and connectivity <strong>of</strong> the 3-level HMAX implemenia-<br />

lion. The parameters <strong>of</strong> the HTM network are described as a function <strong>of</strong> the paramelers <strong>of</strong> the<br />

HMAX model, using the same noialion as in Table 4.2. To summarize:<br />

• Each HTM node corresponds to all the HMAX complex units at a specific location, and<br />

all <strong>of</strong> its afferent simple units.<br />

• The HTM groups correspond to each <strong>of</strong> the features coded by the HMAX complex units<br />

al that location.<br />

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