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In addition, not only the mean of the initial distribution of synaptic weights, but also its standard deviation crucially determines the emergent structural connectivity, i.e., the mean final synaptic weight, the number of two-neuron loops, and the symmetry of the final connectivity pattern.
We see that the number of links, while important, does not dominate the final connectivity indicator.
In the case of Figure 3, this is quite a good approximation of the final connectivity.
The skew-symmetric part of the final connectivity is the cross-correlation between the inputs and their derivatives.
At the first order, the final connectivity is C 0, 0, the filtered correlation of the inputs convolved with a bell-shaped centered temporal profile.
Therefore, the STDP learning rule simply adds an antisymmetric part to the final connectivity keeping the symmetric part as the Hebbian case.
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Silver particles dispersed above the percolation threshold in a nonconductive epoxy matrix give the final connection its electrical connectivity.
Then, we performed a weakly connected expansion of this final connectivity whose terms are combinations of the noise covariance and the lagged correlations of the inputs: the first-order term is simply the sum of the noise covariance and the correlation of the inputs.
The experimental analysis is performed on 26 well-known microarray data sets regarding diverse kinds of cancers and the results show that the proposed method not only achieved significantly high accuracy but also because of its sparseness, final connectivity weights determined the value and effectivity of each gene regarding the corresponding cancer.
Thus, the final available connectivity can be obtained by combining the obtained analysis results.
Considering the final network connectivity plot shown in Figure 2c, this is a reasonable – but not entirely justifiable – assumption as subnets are likely to exist.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com