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.