# Artificial Intelligence

## AI Mathematics

The main branches of mathematics involved in AI are:

- Calculus
- Probability
- Statistics
- Linear Algebra

## AI **is** Mathematics

The **purpose** of AI is to create **models** for human understanding or **thinking**.

Behind every AI success there is mathematics.

All AI models are constructed using solutions and ideas from math.

If you want an AI career:

- Data Scientist
- Machine Learning Engineer
- Robot Scientist
- Data Analyst
- Natural Language Expert

## Calculus

The main calculus concepts used in AI are:

- Differential Calculus
- Multivariate Calculus
- Integral Calculus
- Error Minimization
- Logistic regressions

## Statistics

Statistics is about how to collect, analyze, interpret, and present data.

**Inferential statistics** are methods for quantifying properties of a domain (a
population)
from a small set of data called a **Sample**.

**Descriptive Statistics** are methods for summarizing observations into information that we can understand.

Statistics works with questions like:

- What is the most Common?
- What is the most Expected?
- What is
**Normal**?

**The Mean** is the mean value of all observations.

**Variation** is the average of the squared differences from the mean value.

**Standard Deviation** is a measure of how spread out numbers are. Its symbol is σ (the
Greek letter sigma), and the formula is the square root of the Variance.

For the **Normal Distribution Curve** (Bell Curve), values less than one **Standard Deviation** away from the
**Mean** account for 68.27% of the set,
two standard deviations away account for 95.45%, and three standard deviations away account for 99.73%.

## Linear Algebra

An AI expert cannot live without linear algebra:

- Linear algebra is a branch of mathematics
- Linear algebra plays an important role inn statistics
- Linear algebra represents the math of data

Linear algebra uses **Vectors** and **Matrices** (Arrays) and with AI (especially Machine Learning)
everything is done with data in vectors and matrices.

**Linear** means straight. A **linear graph** is a strait line.

In general, a linear graph displays function values: