Probably Singular

Free Energy Formula - Proof

Standard Form of Log-loss - Proof

Introducing Standard Form of Log-loss

Climbing Ladder to Free Energy Asymptotics

Ladder to Free Energy Asymptotics

Statistical Learning Theory Via A Coin Flipping Demon

“It is simplicity itself, so absurdly simple that an explanation is superfluous; and yet it may serve to define the limits of observation and of deduction." Sherlock Holmes, "The Sign...

Algebraic Geometry - Hartshorne 1.1

This is a series on studying Algebraic Geometry based on the textbook “Algebraic Geometry” by Hartshorne. We start off with the so called “classical algebraic geometry” where the unifying concept o...

Singular Learning Theory - Part 1

“We approached the case, you remember, with an absolutely blank mind, which is always an advantage. We had formed no theories. We were simply there to observe and to draw inferences from ou...

Overview of Singular Learning Theory

Singular Learning Theory (SLT), pioneered by Sumio Watanabe, acknowledges the presence of singularities in statistical models. provides a foundation grounded in Algebraic Geometry to work with...

Introduction to Grobner Basis

Abstract Short description of the post. Abstract Introduction Special Cases Degree $=1$ but Multivariable Single Variable but Degree $>1$ Generalising Long Div...