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Bernal S D_2010.pdf - University of Plymouth

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6.1. ANALYSIS Ot RESULTS<br />

step. Although feedback originates from empty high-level representations, it becomes non-flat<br />

as it is modulated by the conditional probability Sables (CPTs) weights (see Section 4.5 for de­<br />

tails), which explains why the resulting S3 distribution has more noise than the one with no<br />

feedback. Even the most extreme case which processed only the lowest band and implemented<br />

the complete belief update method (stronger feedback effects), situated the square prototype in<br />

founh place, a surprisingly good result considering the limitations.<br />

The Kanizsa square, which can be considered a strongly occluded square, was correctly catego­<br />

rized with no feedback and obtained significantly high positions for the upward update method<br />

with loopy feedback (first for the 4x4 S2 RF size and third for the averaged response). Even<br />

when reducing the number <strong>of</strong> bands to one and using the complete update method, the Kanizsa<br />

square still showed consistently good results. Overall, these results suggest that a similar cate­<br />

gorization performance can be achieved by the model even when including the feedback loop<br />

during the initial botlom-up pass. However, further research is required to prove this hypothesis<br />

and to obtain a belter understanding <strong>of</strong> the factors affecting feedforward categorization in loopy<br />

Bayesian networks.<br />

The categorization <strong>of</strong> Kanizsa input images as squares is critical in order to simulate illusory<br />

contour completion without the need to clamp any high-level square representation. Instead the<br />

model should recognize the input Kanizsa figure as a square and feed back the corresponding<br />

information. The current categorization results using feedback do not provide an appropriate<br />

square representation, as the square stale does not show the highest value or, if it does, the over­<br />

all distribution is extremely noisy. This can be solved in the future by improving the feedforward<br />

categorization performance so that the Kanizsa figure elicits a clear square representation and<br />

by improving the feedback reconstruction from C2 to S2. This should allow lo obtain an au­<br />

tomatic illusory contour response just by feeding in the Kanizsa input image lo the network.<br />

Current results using an idealized S3 square representation (Figure 5.31) are encouraging and<br />

support this claim as they manages to elicit the illusory contour in lower regions.<br />

An interesting control test to perform would be to systematically rotate the Kanizsa pacmen<br />

by varying degrees. The categorization <strong>of</strong> the Kanizsa figure should be affected such that for<br />

248

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