this is for holding javascript data
Bernal Jimenez edited section_Thresholding_RateSAIL_label_thresh__.tex
about 8 years ago
Commit id: b4ce79625cc623c339d786171b6093aaf62a3d78
deletions | additions
diff --git a/section_Thresholding_RateSAIL_label_thresh__.tex b/section_Thresholding_RateSAIL_label_thresh__.tex
index e6de2f2..7e227f2 100644
--- a/section_Thresholding_RateSAIL_label_thresh__.tex
+++ b/section_Thresholding_RateSAIL_label_thresh__.tex
...
\end{equation}
which are leakiness, linear filtering, and inhibition. $y_j$ is the instantaneous spiking variable for neuron $i$. This circuit may not always descend the objective function, as we can show.
Given the analog optimization problem in \ref{descend}, there are a number of different ways to instantiate
a an LIF circuit to approximate inference. The negative gradient can be interpreted as the driving force in the circuit
\begin{equation}
\frac{du_i}{dt} = -\frac{\partial E(a|X; \Phi, W, \theta)}{\partial u_i} = -\frac{\partial E(a|X; \Phi, W, \theta)}{\partial a_i} \frac{\partial a_i}{\partial u_i}
\end{equation}