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Bernal S D_2010.pdf - University of Plymouth

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6. J. ANALYSIS OF RESULTS<br />

However, both models fail lo capture any details at the neuronal level <strong>of</strong> description, such as<br />

the complex balance between exciialory and inhibitory connections or spike decoding including<br />

learning and adaptation mechanisms such as spike-timing dependent plasticity. Nevertheless,<br />

detailed biological implementations have been proposed boih for ihc HMAX (Kouh and Poggio<br />

20()8, Yu et al. 2002. Knoblich et al, 2007) and the belief propagation operations (George and<br />

Hawkins 2009, Litvak and Ullnian 2009. Sieimer el al. 2(K)9). which could theoretically allow<br />

the model to be implemented using spiking neurons. Importantly, given the large scale <strong>of</strong> the<br />

model, which spans three different cortical regions and has over two hundred thousand nodes, it<br />

seems reasonable to limit the level <strong>of</strong> detail until the principles tested have been shown lo work.<br />

Implementations <strong>of</strong> belief propagation, in general, assume each node corresponds to the com­<br />

putations perfomied by the microcircuits within a cortical column. Another interesting possi­<br />

bility is that single neurons act as mxjes and approximate a simpler version <strong>of</strong> the algorithm.<br />

as proposed by Rao (2004) and Dcncve (2008a). This approach has yielded some interesting<br />

results relating generative models to spike-time dependent plasticity (Nesslerel al. 2009). Neu­<br />

ral implementations <strong>of</strong> message-passing algorithms in graphical models are the current focus <strong>of</strong><br />

research for several prestigious research centres, such as the Gaisby Institute in London and the<br />

Institute <strong>of</strong> Ncuroinformatics in Zurich.<br />

Importantly, the model might not be suitable for neural implementation in the present state<br />

due lo the high redundancy in the information represented by the likelihood, belief and prior<br />

functions. A reformulation <strong>of</strong> the equations towards predictive coding approaches, wherein<br />

feedforward messages convey the prediction errors, could lead to more eflicient implementa­<br />

tions, in consonance with experimental evidence (Friston et al, 2006). Critically, predictive<br />

ccxling can be derived from belief propagation, which speaks for formal similarities between<br />

both approaches (Friston and Kiebel 2009. Kschischang et al, 2001. Yedidia et al. 2003).<br />

The Bayesian network was d&signed based on the HMAX model, as this was a well-established<br />

mode! <strong>of</strong> the ventral path at the appropriate level <strong>of</strong> description. However, the HMAX struc­<br />

ture might not be the ideal one for modelling visual perception using Bayesian networks, as<br />

it was designed exclusively for feedforward processing. For example, the Bayesian network<br />

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