Category Archives: Research

Community Discovery for Complex Networks

Given: a network, especially a large one, directed or not, weighted or not.

Desired: a sensible decomposition of the graph into sub-graphs, wherein the nodes in each sub-graph have more to do with each other than with outsiders, i.e., form communities.

This is also called “module detection“.

Ref from here

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Papers on TDA

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  • H. Edelsbrunner and J. Harer, Computational Topology. An Introduction. (Amer. Math. Soc., 2010).
  • H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological persistence and simplificationDiscrete Comput. Geom. 28, 511 (2002)

Material science

Kernel method

Time-series + Dynamic system