172 citations · 796 across the 66 of their papers we have counts for
3 papers · 1 filter
Reoccurring patterns in hierarchical protein materials and music: The power of analogies
Tristan Giesa, David Spivak, Markus Buehler
Complex hierarchical structures composed of simple nanoscale building blocks form the basis of most biological materials. Here we demonstrate how analogies between seemingly differ…
Category theoretic analysis of hierarchical protein materials and social networks
David I. Spivak, Tristan Giesa, Elizabeth Wood +1
Materials in biology span all the scales from Angstroms to meters and typically consist of complex hierarchical assemblies of simple building blocks. Here we describe an applicatio…
Ologs: a categorical framework for knowledge representation
David I. Spivak, Robert E. Kent
In this paper we introduce the olog, or ontology log, a category-theoretic model for knowledge representation (KR). Grounded in formal mathematics, ologs can be rigorously formulat…