Welcome to the notebook
PureAppliedMath + AIWhat this notebook is for, who writes in it, and the three audiences it tries to address.
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.
Lattice theory, universal algebra, order theory, and the structure side of classical algebra.
Visit the Lattice Zoo →Formal Concept Analysis, knowledge representation, and algebraic methods for working with data.
Read about FCA and applied work →Algebraic structure in machine learning — interpretability, ordinal data, equivariance, preference.
Read the essays →What this notebook is for, who writes in it, and the three audiences it tries to address.
A 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?
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.
modular · non-distributive · complemented · atomistic