清华合成与系统生物学中心
Tsinghua Center for Synthetic and Systems Biology

Learning Sparse Causal Gaussian Networks With Experimental Intervention: Regularization and Coordinate Descent

Time: 10:30-12:00 AM, Dec 5
Place: FIT 1-312
Speaker: Prof. Qing Zhou, UCLA
ABSTRACT:
Causal networks are graphically represented by directed acyclic graphs (DAGs). Learning causal networks from data is a challenging problem due to the size of the space of DAGs, the acyclicity constraint placed on the graphical structures and the presence of equivalence classes. In this paper, we develop an L1-penalized likelihood approach to estimate the structure of causal Gaussian networks. A blockwise coordinate descent algorithm, which takes advantage of the acyclicity constraint, is proposed for seeking a local maximizer of the penalized likelihood. We establish that model selection consistency for causal Gaussian networks can be achieved with the adaptive lasso penalty and sufficient experimental interventions. Simulation and real data examples are used to demonstrate the effectiveness of our method. In particular, our method shows satisfactory performance for DAGs with 200 nodes which have about 20,000 free parameters.