In this tutorial, we will cover Unit 3: Math for AI (Statistics & Probability) of PART B – Subject Specific Skills.
Unit 3: Math for AI (Statistics & Probability)
In the table below, we have detailed the division of Unit 3 into subunits and topic descriptions.
| Unit | Subunits | Session | Topics |
| Unit 3: Math for AI (Statistics & Probability) | 3.1 | Importance of Math in AI | • The applications of Mathematics in AI • The different mathematical concepts important for understanding AI |
| 3.2 | Statistics | • Use of statistics in different AI applications | |
| 3.3 | Probability | • Use of probability in different AI applications |
In this chapter, we will study the importance of mathematics in Artificial Intelligence and how mathematics works behind different AI algorithms and applications.
3.1 Importance of Math in AI
Our computer understands the language of numbers. Similarly, AI algorithms convert all textual, visual, and audio data into numbers to understand it.
Math is the study of patterns, order, or arrangement around us. Every numbers, image, and words are converted into a list of numbers that have certain patterns. Identifying these patterns is important to understand mathematics and to understand data for AI.
AI is a way to recognize patterns to make decisions. For the AI to study and recognize patterns, it needs Mathematics.
Important Mathematical Concepts for Understanding AI
Below are the important mathematical concepts for understanding AI:
Linear Algebra → Coordinate Geometry → Planes → Matrices → Calculus → AI / ML
1. Linear Algebra
Linear Algebra is the study of linear equation which draws a straight line, to find out the unknown and missing, and to understand the basics of data. In Machine Learning, ML model is trained to draw a straight line between two classes of data. Learn the basics of Linear algebra by clicking the link below:
2. Coordinate Geometry
To draw a line, understanding of Coordinate Geometry is important as it gives location of every data point i.e. (x , y) coordinate on a plane. The distance formula from coordinate geometry is used to measures distant between two data points. Learn the basics of Coordinate Geometry by clicking the link below:
3. Planes
A point has no dimensions. A line is one-dimensional. A plane is two-dimensional. And in Machine Learning, when you go beyond 3D — it becomes a Hyperplane. That is what SVMs use to separate data. Learn the basics of Planes by clicking the link below:
4. Matrix
Matrices organise all of that data into rows and columns. Dataset used in Python are in dataframe format which is literally a Matrix — m rows and n columns. And every Machine learning model, neural network, deep learning learns from matrices. Learn the basics of Matrix by clicking the link below:
5. Calculus
Calculus is for training and error-optimizing algorithms by calculating derivative. A derivative tells you the rate of change i.e. the slope of a curve at any point. Learn the basics of Calculus by clicking the link below:
6. Statistics
Statistics is for exploring data. We will discuss statistics in detail in the next section of this chapter.
7. Probability
Probability is for predicting events. We will discuss probability in detail in this chapter.
The Applications of Mathematics in AI
Real-life examples using mathematics for different AI applications:
- Voice Assistants (Alexa, Siri): Probability + Algebra
- Face Unlock in phones: Geometry + Linear Algebra
- Weather Forecasting: Statistics + Probability
- Recommendation Systems (Netflix, eCommerce): Linear Algebra + Statistics
- Self-driving Cars: Calculus + Geometry
3.2 Statistics
Statistics is used for collecting, exploring, and analyzing data. It also helps in understanding and concluding data.
Will post a detailed blog on Statistics soon.
3.3 Probability
Probability is a way to tell us how likely something is to happen.
Will post a detailed blog on Probability soon.
Stay Tuned!!
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Click on the links below to understand some more basic concepts of mathematics necessary for a strong foundation of AI.
Keep Learning and Keep Implementing!!
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