Sheaf-Theoretic Data Analysis

Cellular sheaves, sheaf Laplacians, and applications to networks.


frontier tier

Sheaf-Theoretic Data Analysis. Cellular sheaves, sheaf Laplacians, and applications to networks.

Foundations and canonical references

The standard treatments of sheaf-theoretic data analysis approach the subject from complementary angles. Curry, Sheaves, Cosheaves and Applications (2014) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for sheaf-theoretic data analysis include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2014
    Sheaves, Cosheaves and Applications
    curry-2014

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