Neural Models of Bayesian Belief Propagation Rajesh ... - Washington
Neural Models of Bayesian Belief Propagation Rajesh ... - Washington
Neural Models of Bayesian Belief Propagation Rajesh ... - Washington
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262 11 <strong>Neural</strong> <strong>Models</strong> <strong>of</strong> <strong>Bayesian</strong> <strong>Belief</strong> <strong>Propagation</strong> <strong>Rajesh</strong> P. N. Rao<br />
A<br />
Up<br />
Lt 1 2 3 4 5 Rt<br />
Dn<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
Lt<br />
1 2 3 4 5<br />
Spatial Positions<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
Rt<br />
1 2 3 4 5<br />
B<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
1 2 3 4 5<br />
0.8<br />
Up Dn<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
1 2 3 4 5<br />
Figure 11.8 Input Image Configuration and Conditional Probabilities used in the Attention<br />
Experiments. (A) Example image locations (labeled 1-5 and Up, Dn, Lt, and Rt<br />
for up, down, left, and right) relevant to the experiments discussed in the paper. (B)<br />
Each bar plot shows P (Ci|L, F ) for a fixed value <strong>of</strong> L (= Lt, Rt, Up, or Dn) and for an<br />
arbitrary fixed value <strong>of</strong> F . Each bar represents the probability for the feature-location<br />
combination Ci encoding one <strong>of</strong> the locations 1-5.<br />
Response<br />
0.5<br />
0.3<br />
Model V4 Neuron<br />
0.0<br />
−90 −60 −30 0 30 60 90<br />
Orientation (in degrees)<br />
A B<br />
Figure 11.9 Multiplicative Modulation due to Attention. (A) Orientation tuning curve<br />
<strong>of</strong> a feature coding model neuron with a preferred stimulus orientation <strong>of</strong> 0 degrees<br />
with (filled squares) and without (unfilled circles) attention (from [31]). (B) Orientation<br />
tuning curves <strong>of</strong> a V4 neuron with (filled squares) and without attention (unfilled<br />
circles) (from [23]).