An algebraic framework for structured epidemic modelling
Pandemic management requires that scientists rapidly formulate and analyse
epidemiological models in order to forecast the spread of disease and the effects of …
epidemiological models in order to forecast the spread of disease and the effects of …
Compositional modeling with stock and flow diagrams
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 …
populations. Although tools already exist for building these diagrams and simulating the …
Diegetic representation of feedback in open games
M Capucci - arXiv preprint arXiv:2206.12338, 2022 - arxiv.org
We improve the framework of open games with agency by showing how the players'
counterfactual analysis giving rise to Nash equilibria can be described in the dynamics of …
counterfactual analysis giving rise to Nash equilibria can be described in the dynamics of …
Compositional thermostatics
We define a thermostatic system to be a convex space of states together with a concave
function sending each state to its entropy, which is an extended real number. This definition …
function sending each state to its entropy, which is an extended real number. This definition …
A Compositional Framework for First-Order Optimization
Optimization decomposition methods are a fundamental tool to develop distributed solution
algorithms for large scale optimization problems arising in fields such as machine learning …
algorithms for large scale optimization problems arising in fields such as machine learning …
A diagrammatic view of differential equations in physics
E Patterson, A Baas, T Hosgood… - arXiv preprint arXiv …, 2022 - arxiv.org
Presenting systems of differential equations in the form of diagrams has become common in
certain parts of physics, especially electromagnetism and computational physics. In this …
certain parts of physics, especially electromagnetism and computational physics. In this …
Compositional algorithms on compositional data: deciding sheaves on presheaves
E Althaus, BM Bumpus, J Fairbanks… - arXiv preprint arXiv …, 2023 - arxiv.org
Algorithmicists are well-aware that fast dynamic programming algorithms are very often the
correct choice when computing on compositional (or even recursive) graphs. Here we …
correct choice when computing on compositional (or even recursive) graphs. Here we …
Toward a comprehensive system for constructing compartmental epidemic models
Compartmental models are valuable tools for investigating infectious diseases. Researchers
building such models typically begin with a simple structure where compartments …
building such models typically begin with a simple structure where compartments …
Multimodal system design integration using category theory
Y Mordecai, A Engel - 2023 IEEE International Systems …, 2023 - ieeexplore.ieee.org
Systems Engineering discipline oversees the system's conceptual, logical, and physical
integration. A collaborative mindset is a key success factor for complex systems' conceptual …
integration. A collaborative mindset is a key success factor for complex systems' conceptual …
Relational Composition of Physical Systems: A Categorical Approach
O Lynch - arXiv preprint arXiv:2310.06088, 2023 - arxiv.org
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 …
systems using tools from category theory. The first framework addresses port-Hamiltonian …