Foundations of Data Science: Machine Learning and Statistics



Learn the core mathematical concepts, Probability & Statistics for Data Science, Data Analytics, Machine & Deep Learning

What you will learn

Understand and implement Regression, Classification, and Clustering algorithms

Learn Linear Algebra, Calculus for Machine and Deep Learning

Build Mathematical intuition especially Calculus required for Deep learning, Data Science and Machine Learning

Refresh the mathematical concepts for AI and Machine Learning

Description

The future for AI is extremely promising and it isn’t far from when we have our own robotic companions. This has pushed a lot of developers to start writing codes and start developing for AI and ML programs. However, learning to write algorithms for AI and ML isn’t easy and requires extensive programming and mathematical knowledge. Mathematics forms the core of data science and machine learning. Thus, to be the best data scientist you can be, you must have a working understanding of the most relevant math. Getting started in data science is easy thanks to high-level libraries like Scikit-learn and Keras. However, understanding the math behind the algorithms in these libraries opens an infinite number of possibilities up to you. From identifying modeling issues to inventing new and more powerful solutions, understanding the math behind it all can dramatically increase the impact you can make over the course of your career. This is a highly comprehensive Mathematics, Statistics, and Probability course, you learn everything from Set theory, Combinatorics, Probability, statistics, and linear algebra to Calculus with tons of challenges and solutions for Business Analytics, Data Science, Data Analytics, and Machine Learning. Mathematics, Probability & Statistics are the bedrock of modern science such as machine learning, predictive risk management, inferential statistics, and business decisions. In this course, we will cover right from the foundations of Algebraic Equations, Linear Algebra, Calculus including Gradient using Single and Double order derivatives, Vectors, Matrices, Probability and much more.

Mathematics form the basis of almost all the Machine Learning algorithms. Without maths, there is no Machine Learning. Machine Learning uses mathematical implementation of the algorithms and without understanding the math behind it is like driving a car without knowing what kind of engine powers it.

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You may have studied all these math topics during school or universities and may want to freshen it up. However, many of these topics, you may have studied in a different context without understanding why you were learning them. They may not have been taught intuitively or though you may know majority of the topics, you can not correlate them with Machine Learning.

This course of Math For Machine Learning, aims to bridge that gap. We will get you upto speed in the mathematics required for Machine Learning and Data Science. We will go through all the relevant concepts in great detail, derive various formulas and equations intuitively.


Introduction

Introduction to Machine Learning with Python

Importing

Machine Learning Introduction
Analytics in Machine Learning
Big Data Machine Learning
Emerging Trends Machine Learning
Data Mining
Data Mining Continues
Supervised and Unsupervised

Basics of Statistics Sampling

Sampling Method in Machine Learning
Technical Terminology
Error of Observation and Non Observation
Systematic Sampling
Cluster Sampling

Basics of Statistics Data types and Visualization

Statistics Data Types
Qualitative Data and Visualization

Basics of Statistics Probability

Machine Learning
Relative Frequency Probability
Joint Probability
Conditional Probability
Concept of Independence
Total Probability

Basics of Statistics Random Variables

Random Variable
Probability Distribution
Cumulative Probability Distribution

Basics of Statistics Distributions

Bernoulli Distribution
Gaussian Distribution
Geometric Distribution
Continuous and Normal Distribution

Matrix Algebra

Mathematical Expression and Computation
Transpose of Matrix
Properties of Matrix
Determinants

Hypothesis Testing

Error Types
Critical Value Approach
Right and Left Sided Critical Approach
P-Value Approach
P-Value Approach Continues
Hypothesis Testing
Left Tail Test
Two Tail Test
Confidence Interval
Example of Confidence Interval

Hypothesis Tests-Types

Normal and Non Normal Distribution
Normality Test
Normality Test Continues
Determining the Transformation
T-Test
T-Test Continue
More on T-Test
Test of Independence
Example of Test of Independence
Goodness of Fit Test
Example of Goodness of Fit Test

Regression

Co-Variance
Co-Variance Continues

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