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Bernal S D_2010.pdf - University of Plymouth

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6.5. CONCLUSIONS AND SUMMARY Ut CONTRIBUTIONS<br />

6.5 Conclusions and summary <strong>of</strong> contributions<br />

It is important to highlight that ihe claim made in this thesis is not that the visual cortex works<br />

exactly as a Bayesian network with belief propagation. However, ihe substantial body <strong>of</strong> evi­<br />

dence presented and the model result.s suggest that, at a functional and structural level <strong>of</strong> de­<br />

scription, there exist significant similarities between the visual cortex and Ihe proposed model.<br />

Therefore, this thesis supports the notion that the role for feedback is not limited to attentional<br />

mechanisms, but provides a substrate for the exchange <strong>of</strong> information across the visual system<br />

leading to hierarchical perceptual inference. This thesis provides an explicit demonstration that<br />

Bayesian networks and belief propagation can be used as tools to model large-scale perceptual<br />

processes in the visual system. In this sense, it complements previous theoretical studies that<br />

argued for this approach (Lee 2003, I'riston 2010) but did not provide an explicit implementa­<br />

tion. Al the same lime, ii complements small-scale biologically plausible implementations <strong>of</strong><br />

belief propagation (Lilvak and Ullman 2009. Sleimer et al. 2009), by providing them with a<br />

large-scale functional model which they can allempi to reproduce. The proposed model can be<br />

used as a template to guide the design <strong>of</strong> large-scale biologically plausible implementations <strong>of</strong><br />

belief propagation that capture the venlral path functionality.<br />

A list <strong>of</strong> the contributions <strong>of</strong> this thesis is included below;<br />

• A review and analysis <strong>of</strong> the experimental evidence, theories and computational models<br />

<strong>of</strong> the role <strong>of</strong> cortical high-level feedback in object perception, including the illusory and<br />

occluded contours.<br />

• A review and analysis <strong>of</strong> the experimental evidence, theories and computationaJ models<br />

suggesting the visual cortex can be understood in terms <strong>of</strong> a generative model, Bayesian<br />

networks and belief propagation, This includes a detailed comparison <strong>of</strong> existing func­<br />

tional models, biologically plausible implementations and possible cortical mappings.<br />

• A comprehensive and mathematically rigorous explanation <strong>of</strong> belief propagation in Bayesian<br />

networks, including a novel, intuitive and illustrative example with numerical slep-hy-<br />

step demonstrations <strong>of</strong> the different types <strong>of</strong> evidence propagation.<br />

261

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