# Notes

I do not have a deep formal background in the mathematical topics used in computational biology and I have found it helpful to create clean, organized notes in order to solidify my understanding. It occurred to me that these notes may be useful to others, so I will periodically post them here. There may be errors in these notes. Let me know if you find anything that can be improved.

## Miscellaneous topics

Supremums and infimums

The binomial theorem

Sigmoid functions

## Linear algebra

Vector spaces

Normed vector spaces

Dot product

Linear transformations

Matrices

Matrix-vector multiplication

Matrices as linear transformations

Matrix multiplication

Inverse matrices

## Probability

Sigma-algebras

Measure

Measurable functions

Probability spaces

Variance

Intuition into covariance

## Information theory

## Probabilistic modeling

**Common distributions**

**Inference**

Evidence lower bound

Variational inference

Mean field variational inference

Expectation-maximization

Psuedocounts

## Binary classification

**Logistic regression**

**Ensemble methods**