No voodoo here! Learning discrete graphical models via inverse covariance estimation
published: Jan. 16, 2013, recorded: December 2012, views: 814
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
We investigate the relationship between the support of the inverses of generalized covariance matrices and the structure of a discrete graphical model. We show that for certain graph structures, the support of the inverse covariance matrix of indicator variables on the vertices of a graph reflects the conditional independence structure of the graph. Our work extends results which were previously established only for multivariate Gaussian distributions, and partially answers an open question about the meaning of the inverse covariance matrix of a non-Gaussian distribution. We propose graph selection methods for a general discrete graphical model with bounded degree based on possibly corrupted observations, and verify our theoretical results via simulations. Along the way, we also establish new results for support recovery in the setting of sparse high-dimensional linear regression based on corrupted and missing observations.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !