Mathematical Foundation For Machine Learning and AI

The integration of Artificial Intelligence is growing and multiple sectors are now looking to build technologies that include AI. With self-driving cars, smart robots, to even your coffee machines, AI...

  • All levels
  • English

Course Description

The integration of Artificial Intelligence is growing and multiple sectors are now looking to build technologies that include AI. With self-driving cars, smart robots, to even your coffee machines, AI has become a prominent technology that cannot be overlooked. Writing algorithms for AI and Machine Learning is difficult and requires extensive programming and mathematical knowledge. While these...

The integration of Artificial Intelligence is growing and multiple sectors are now looking to build technologies that include AI. With self-driving cars, smart robots, to even your coffee machines, AI has become a prominent technology that cannot be overlooked. Writing algorithms for AI and Machine Learning is difficult and requires extensive programming and mathematical knowledge. While these algorithms have the potential to solve a number of difficult problems that are currently plaguing the world, designing these algorithms to solve these problems requires intricate mathematical skills and experience. In this course, we have tried to help you cover exactly that. The course delves deep into the world of mathematics and algorithms to help you get started understanding these complex concepts. The course will help you learn the mathematical background you need to start working on building algorithms and networks for your next machine learning and AI projects. The course has been designed to help breakdown these mathematical concepts and ideas by dividing the syllabus into three main sections which include: Linear Algebra - Throughout the field of Machine Learning, linear algebra notation is used to describe the parameters and structure of different machine learning algorithms. This makes linear algebra a necessity to understand how neural networks are put together and how they are operating. Multivariate Calculus - This is used to supplement the learning part of machine learning. It is what is used to learn from examples, update the parameters of different models and improve the performance.

What you’ll learn
  • Scalars, Vectors, Matrices, Tensors
  • Matrix Norms
  • Special Matrices and Vectors
  • Eigenvalues and Eigenvectors

Covering Topics

1
Section 1 : Introduction

2
Section 2 : Linear Algebra

3
Section 3 : Multivariate Calculus

4
Section 4 : Probability Theory

5
Section 5 : Probaility Theory

Curriculum

      Section 1 : Introduction
    1
    Introduction
      Section 2 : Linear Algebra
    2
    Scalars, Vectors, Matrices, and Tensors
    3
    Vector and Matrix Norms
    4
    Vectors, Matrices, and Tensors in Python
    5
    Special Matrices and Vectors
    6
    Eigenvalues and Eigenvectors Preview
    7
    Norms and Eigendecomposition
      Section 3 : Multivariate Calculus
    8
    Introduction to Derivatives
    9
    Basics of Integration
    10
    Gradients Preview
    11
    Gradient Visualization
    12
    Optimization
      Section 4 : Probability Theory
    13
    Intro to Probability Theory
    14
    Probability Distributions Preview
    15
    Expectation, Variance, and Covariance
    16
    Graphing Probability Distributions in R
    17
    Covariance Matrices in R
      Section 5 : Probaility Theory
    18
    Special Random Variables

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