1212.6146 (Haiping Huang)

Sparse Hopfield network reconstruction with $\ell_{1}$ regularization    [PDF]

Haiping Huang

We propose an efficient strategy to infer sparse Hopfield network based on the magnetizations and pairwise correlations measured through Glauber samplings. This strategy incorporates the $\ell_{1}$ regularization into the Bethe approximation, and is able to further reduce the inference error of the Bethe approximation without the regularization. The optimal regularization parameter is observed to be of the order of $M^{-1/2}$ where $M$ is the number of independent samples.

View original: http://arxiv.org/abs/1212.6146