報告題目：On Computing a Center Persistence Diagram （持續性圖中心的求解計算）
時間：2019年7月24日10:00am – 12:00am.
摘要：Persistence diagram is a new tool from computational topology to capture the topological and geometric changes for large point clouds (or more complex objects). This talk first introduces the basics on persistence diagrams (e.g., the bottleneck distance between two diagrams). Then, we consider the center persistence diagram problem, i.e., one whose maximum bottleneck distance to m given diagrams is minimized . We show that, when m=2 diagrams are given, the problem is polynomially solvable. When m=3, we prove its NP-hardness (in fact, NP-hard to approximate within a factor of 2). Finally, we give a tight factor-2 approximation for the problem. No prior knowledge on topology is needed for this talk.