||Junwei Lu, Harvard University
||: Xudong Li, School of Data Science, Fudan University
||10:00-11:30, July 3, 2019
||Zibin S301, Fudan University
||We propose the combinatorial inference to explore the global topological structures of graphical models. In particular, we conduct hypothesis tests on many combinatorial graph properties including connectivity, hub detection, perfect matching, etc. Our methods can be applied to any graph property which is invariant under the deletion of edges. 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.
||Dr. Junwei Lu is the assistant professor of Department of Biostatistics, Harvard Chan School of Public Health. He got his PhD in the Department of Operations Research and Financial Engineering in Princeton University and majored in mathematics in Fudan University. His researches aim to develop new generation of inferential methods for assessing uncertainty and replicability of modern statistical and machine learning procedures unique to Big Data analysis.