Linear Regression as Conditional Random Field
Classical linear regression simply uses a linear Gaussian model (CRF).

Geometric Interpretations of First-Order Taylor Approximation
Geometric views from the output space, input space, and graph space.

Polar Decomposition Example
A small numeric example illustrating polar decomposition.

Eigendecomposition as Change of Basis
An operator has a particularly simple matrix description in its eigenbasis.

Change of Basis
How to encode a linear operator in a different matrix.

The Matrix of a Linear Map
Matrices are descriptions of linear maps.

Example of a Polynomial Basis
Example basis of a function space.