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Combinatorial Inference

Tuesday, January 30, 2018 - 11:00 to 12:00
Junwei Lu, Graduate Student in the Department of Operations Research and Financial Engineering, Princeton University
Statistics Seminar
Room 4192, Earth Sciences Building (2207 Main Mall)

We propose the combinatorial inference to explore the topological structures of graphical models. The combinatorial inference can conduct the hypothesis tests on many graph properties including connectivity, hub detection, perfect matching, etc. On the other side, we also develop a generic minimax lower bound which shows the optimality of the proposed method for a large family of graph properties. Our methods are applied to the neuroscience by discovering hub voxels contributing to visual memories.