One goal of applied category theory is to better understand networks appearing throughout
science and engineering. Here we introduce" structured cospans" as a way to study …

i September 3, 2023 Page 1 i DRAFT September 3, 2023 Page 2 Categorical Systems
Theory David Jaz Myers (Last updated: September 3, 2023) Page 3 iii This page …

Stock and flow diagrams are widely used in epidemiology to model the dynamics of
populations. Although tools already exist for building these diagrams and simulating the …

Category theory is a branch of mathematics that provides a formal framework for
understanding the relationship between mathematical structures. To this end, a category not …

We present Decapodes, a diagrammatic tool for representing, composing, and solving
partial differential equations. Decapodes provides an intuitive diagrammatic representation …

Fong has developed a compositional framework by the name of\emph {decorated cospans}
that is well-suited for modelingopen'networks and systems. In this framework, open networks …

Explainable artificial intelligence (XAI) is a growing field that aims to increase the
transparency and interpretability of machine learning (ML) models. The aim of this work is to …

We give parallel algorithms for string diagrams represented as structured cospans of
ACSets. Specifically, we give linear (sequential) and logarithmic (parallel) time algorithms …

In this master's thesis, we rigorously develop two frameworks of relational composition of
systems using tools from category theory. The first framework addresses port-Hamiltonian …

Category theory (CT) is a branch of mathematics concerned with the representation and
composition of structured relationships. Recent interest in systems engineering (SE) stems …