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System Identification via Nuclear Norm Regularization
Yue Sun, Samet Oymak, Maryam Fazel
This paper studies the problem of identifying low-order linear systems via Hankel nuclear norm regularization. Hankel regularization encourages the low-rankness of the Hankel matri…
New Computational and Statistical Aspects of Regularized Regression with Application to Rare Feature Selection and Aggregation
Amin Jalali, Adel Javanmard, Maryam Fazel
Prior knowledge on properties of a target model often come as discrete or combinatorial descriptions. This work provides a unified computational framework for defining norms that p…
Relative Density and Exact Recovery in Heterogeneous Stochastic Block Models
Amin Jalali, Qiyang Han, Ioana Dumitriu +1
The Stochastic Block Model (SBM) is a widely used random graph model for networks with communities. Despite the recent burst of interest in recovering communities in the SBM from s…
Learning Graphical Models With Hubs
Kean Ming Tan, Palma London, Karthik Mohan +3
We consider the problem of learning a high-dimensional graphical model in which certain hub nodes are highly-connected to many other nodes. Many authors have studied the use of an…
Node-Based Learning of Multiple Gaussian Graphical Models
Karthik Mohan, Palma London, Maryam Fazel +2
We consider the problem of estimating high-dimensional Gaussian graphical models corresponding to a single set of variables under several distinct conditions. This problem is motiv…