Welcome to the notebook
PureAppliedMath + AIWhat this notebook is for, who writes in it, and the three audiences it tries to address.
· Notebook
People drawn to algebra
A playground for people
drawn to algebra.
For people researching algebra and for people using it. The site tries to address three kinds of audiences, and whoever finds these topics interesting is welcome to join in.
Three ways in
Pure mathematics
Lattices
Lattice theory, universal algebra, order theory, and the structure side of classical algebra.
Visit the Lattice Zoo → Applied mathematics
Applied Algebra
Formal Concept Analysis, knowledge representation, and algebraic methods for working with data.
Read about FCA and applied work → Mathematics & AI
Algebra & AI
Algebraic structure in machine learning — interpretability, ordinal data, equivariance, preference.
Read the essays →Latest
Concept lattices as interpretable models
Math + AIAppliedA concept lattice is, by construction, an interpretable artefact. What does it mean to use one as a model — and where does that view help, and where does it strain?
· Algebra & AI
Most data in the wild is many-valued. A short note on how conceptual scaling turns it into something Formal Concept Analysis can work with — and on the choices that hide in the scaling.
Applied Algebra
M₃ — the diamond
Puremodular · non-distributive · complemented · atomistic
Lattice Zoo