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In this document, we will describe alternative versions of the Sparse and Independent Local network \cite{Zylberberg_2011} which address the convergence issues present in the original. The first section \cite{descend}  will briefly sketch the inference equations obtained when the membrane potentials are used directly as the coefficients in our sparse coding model. Next, we will introduce a thresholding approach to maintain neurally plausible properties but also descend the reconstruction, sparsity and decorrelation objective like was done for LCA \cite{Rozell_2008}.