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Bernal S D_2010.pdf - University of Plymouth

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6.t. ANALYSIS OF RESULTS<br />

used 10 compare the results, which ;illows for a maximum <strong>of</strong> 50 object calegories. Ahhough<br />

this means the lesl sets were different from those used for the rest <strong>of</strong> models, theoretically it<br />

confers an advantage lo the HTM model as fewer categories facilitates the categorization task.<br />

Nonetheless, the relatively low performance <strong>of</strong> the mode! might be a consequence <strong>of</strong> noi hav­<br />

ing enough training images per category, as the Numenla Vision Toolkit recommends having at<br />

least 20 training images per categor)', I^urthcnnore. the iniemal struclure <strong>of</strong> the HTM network<br />

is unknown, which means it is possible that this was no! optimized for the type <strong>of</strong> images or<br />

categorization task employed, and alternative HTM networks could improve the results. De­<br />

spite this, the results are intended to illustrate dial it is not trivial ihal the task <strong>of</strong> feedforward<br />

categorization has been performed by belief propagation models that incorporate feedback func­<br />

tionality.<br />

6.1.2 Feedback modulation and illusory contour completion<br />

To test the effects <strong>of</strong> feedback in the network, the illusory contour completion paradigm was<br />

chosen. Experimental evidence strongly suppons the involvement <strong>of</strong> high-level feedback in<br />

lower-level illusory contour development (Halgren etal. 2003, Lee and Nguyen 2001, Maertens<br />

et al. 2008). To try lo reproduce this phenomenon, the setup was typically chosen to be a<br />

Kanizsa square as the inpul image lo Ihe network and the representaiion <strong>of</strong> a square fixed at some<br />

higher layer. The square representaiion was fed back from increasingly higher layers, ranging<br />

from CI to S3, This was done in order to study the effects <strong>of</strong> feedback systematically and<br />

understand the particularities <strong>of</strong> each layer, although in las! instance feedback should arise from<br />

the lop layer after the Kani/.sa image has been categorized as a square. Results are structured in<br />

the same way. providing a progressive account <strong>of</strong> the network's recurrent dynamics.<br />

6.1.2.1 Feedback from CI to SI<br />

The first and most simple case (Figure 5.18) is that <strong>of</strong> feedback originating from the CI layer.<br />

This example serves to clearly illustrate how boitom-up (A (SI)) and top-down (Jt(Sl)) evidence<br />

are multiplicatively combined in the SI layer belief. Furthermore, it clarifies the correspondence<br />

between ihe probability distributions <strong>of</strong> Ihe Bayesian nodes and the 2D graphical representations<br />

used throughout the Results chapter. Note that only the lower scale band <strong>of</strong> each layer is plotted,<br />

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