As data accumulate faster and bigger, building representa-
tional models has turned into an art form. Despite sharing common data
types, each scientific discipline often takes a different approach. In this
work, we propose representational models grounded in the mathematics
of algebraic topology to understand foundational data types. We present
hypergraphs for multi-relational data, point clouds for vector data, and
sheaf models when both data types are present and interrelated. These
three models use similar principles from algebraic topology and provide
a domain-agnostic framework. We will discuss each method, provide ref-
erences to their foundational mathematical papers, and give examples of
their use.
Revised: February 12, 2020 |
Published: June 7, 2018
Citation
Purvine E., S.G. Aksoy, C.A. Joslyn, K.E. Nowak, B.L. Praggastis, and M. Robinson. 2018.A Topological Approach to Representational Data Models. In International Conference on Human Interface and the Management of Information (HIMI 2018): Human Interface and the Management of Information. Interaction, Visualization, and Analytics, Jully 15-20, 2018, Las Vegas, NV. Lecture Notes in Computer Scien, edited by S. Yamamoto and H. Mori, 10904, 90-109.PNNL-SA-132253.doi:10.1007/978-3-319-92043-6_8