Yasuaki Hiraoka Laboratory

Advanced Institute for Materials Research

Tohoku University

Research Outline

In our laboratory, we study the theory, computations, and applications of topological data analysis. Please feel free to contact us if you share our interests.

* You can see the details of research by double-clicking.

Mathematical Research

  • Persistence Module and Quiver Representation
  • Random Topology
  • Sparse Optimization and Minimum Generator of Persistent Homology (Inverse Problem)
  • Continuation of Point Cloud Data via Persistence Diagram (Inverse Problem)
  • Topological Statistics
  • Application

  • TDA on Amorphous Structures
  • TDA on Granular Packing
  • SIP: Structural Materials for Innovation
  • Protein Structural Analysis