Singular Learning

Some personal resources for understanding and applying singular learning theory. For more information, please read the textbook by Sumio Watanabe.

Thesis	Algebraic methods for evaluating integrals in Bayesian statistics
Preprint	Asymptotic approximation of marginal likelihood integrals
Notes	Useful facts about RLCT
Slides	What is singular learning theory?
Slides	Singular Learning Theory: A view from Algebraic Geometry
Slides	Computing resolutions: how and why
Slides	Computing integral asymptotics using toric blow-ups of ideals
Video	Studying model asymptotics with Singular learning theory
Website	Macaulay2 library for computing RLCTs using Newton polyhedra

Motivic Invariants and Singularities

My slides and problem sets on Singular Learning Theory from the Motivic Invariants and Singularities workshop at the Center for Mathematics at Notre Dame (May 2013).

Statistical Learning Theory	Slides	Problems
Real Log Canonical Threshold	Slides	Problems
Singularities in Graphical Models	Slides	Problems
Blow-ups and Zeta Functions	Notes