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Update lissom.rst
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rmatuk committed Oct 20, 2018
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6 changes: 3 additions & 3 deletions docs/notes/lissom.rst
Expand Up @@ -290,7 +290,7 @@ More precisely, the response :math:`\xi_{ab}` of ON or OFF-center cell
\label{fig:lgnactivation}
\xi_{ab} = \sigma(\gamma_L \sum_{xy}\chi_{xy}L_{xy,ab})
where :math:`X_{xy}` is the activation of cell :math:`(x, y)` in the
where :math:`X_{xy}` is the activation of cell :math:`(x, y)` in the
receptive field of :math:`(a, b)`, :math:`L_{xy,ab}` is the afferent
weight from :math:`(x, y)` to :math:`(a, b)`, and :math:`\gamma_L` is a
constant scaling factor. The squashing function :math:`\sigma(\cdot)` ()
Expand Down Expand Up @@ -365,7 +365,7 @@ sum of activations in its receptive fields on the LGN:
\label{fig:corticalactivation}
s_{ij} = \gamma_A\left(\sum_{ab \in \,ON} \xi_{ab}A_{ab,ij} + \sum_{ab \in \,OFF} \xi_{ab}A_{ab,ij}\right)
where :math:`\xi_{ab}` is the activation of neuron (a, b) in the
where :math:`\xi_{ab}` is the activation of neuron (a, b) in the
receptive field of neuron (i, j) in the ON or OFF channels,
:math:`A_{ab,ij}` is the corresponding afferent weight, and
:math:`\gamma_A` is a constant scaling factor. The afferent stimulation
Expand Down Expand Up @@ -425,7 +425,7 @@ according to the same biologically motivated mechanism: the Hebb rule
\label{fig:hebbianrule}
w'_{pq,ij} = \frac{w_{pq,ij} + \alpha X_{pq}\eta_{ij}}{\sum_{uv}(w_{uv,ij} + \alpha X_{uv}\eta_{ij})}
where :math:`w_{pq,ij}` is the current afferent or lateral connection
where :math:`w_{pq,ij}` is the current afferent or lateral connection
weight (either :math:`A`, :math:`E` or :math:`I`) from (p, q) to (i, j),
:math:`w'_{pq,ij}` is the new weight to be used until the end of the
next settling process, :math:`\alpha` is the learning rate for each type
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