Tag: Linear Algebra

Linear Algebra for Data Science & Machine Learning – Math

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Course content

  • Vectors Basics
  • Vector Projections
  • Basis of Vectors
  • Matrix Basics from High school
  • Matrices – Setting up the stage – Transformations
  • Gaussian Elimination
  • Einstein Summation convention – Non Orthogonal basis – Gram Schmidt Process
  • Eigen Problems
  • Principal Component Analysis – Application of Eigen Values and Eigen Vectors
  • Google Pagerank Algorithm
  • SVD – Singular Value Decomposition
  • Pseudo Inverse
  • Matrix Decompositions
  • Solving the Linear Regression using Matrix Decomposition
  • methods
  • Linear Regression from Scratch
  • Linear Algebra in Natural Language Processing
  • Linear Algebra for Deep Learning – Getting started with Pytorch
  • Linear Regression Using Pytorch
  • Python Basics
  • Python for Data Science
  • Basics of Statistics
  • Appendix : Python for Data Science
  • Machine Learning for Projects

Complete Math, Statistics & Probability for Machine Learning

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Course content

  • Set Theory
  • Combinatorics
  • Probability – Basics/General
  • Theoretical Probability
  • Empirical Probability
  • Probability – Addition Rule
  • Probability – Multiplication Rule
  • Conditional Probability
  • Theorem of Total Probability
  • Probability – Decision Tree
  • Bayes’ Theorem
  • Sensitivity and Specificity in Probability: Diagnostic Test Performance
  • Binomial, Poisson & Normal Distributions, Z-Score, Skewness, Kurtosis
  • Geometric Distribution
  • Hypergeometric Distribution
  • Markov Chain
  • Linear Algebra – Matrices
  • Linear Algebra – Determinant
  • Linear Algebra – EigenVaIue and EigenVector
  • Euclidean Distance and Manhattan Distance
  • NumPy – Recommendation! Recommendation!! Recommendation!!!
  • Statistics
  • Statistics – Mean
  • Statistics – Weighted Mean
  • Statistics – Properties of Mean
  • Statistics – Mean Frequency Distribution
  • Statistics – Median
  • Statistics – Median Frequency Distribution
  • Statistics – Mode
  • Statistics – Mode Frequency Distribution
  • Statistics – Measurement of Spread
  • Statistics – Range
  • Statistics – Mean Deviation
  • Statistics – Variance & Standard Deviation
  • Statistics – Variable I Dependent- Independent – Moderating – Ordinal…
  • Statistics – Correlation
  • Statistics – Regression & Collinearity
  • Statistics – Pearson and Spearman Correlation Methods
  • Statistics – Regression Error Metrics
  • Indices & Logarithms
  • Entropy in Machine Learning
  • Information Gain
  • Surprise in Machine Learning
  • Loss Function, Cost Function and Error Function
  • Mean Squared Error Loss Function
  • Mean Absolute Error Loss Function
  • Huber Loss Function
  • Cross Entropy Loss Function
  • Categorical Cross-Entropy Loss Function
  • Hinge Loss Function
  • Calculus – Introduction to Differentiation
  • Calculus – Derivatives By First Principle
  • Calculus – Second Derivatives
  • Calculus – Special Derivatives
  • Calculus – Differentiation Using Chain Rule
  • Calculus – Differentiation Using Product Rule
  • Calculus – Differentiation Using Chain and Product Rules I Examples
  • Calculus – Differentiation Using Quotient Rule
  • Calculus – Differentiation Using Quotient and Chain Rules I Examples
  • Integration – Introduction
  • Integration – Indefinite Integrals
  • Integration – Indefinite Integrals II
  • Integration – Definite Integrals I
  • Integration – Definite Integrals II
  • Area Under Curve – Using Integration
  • ARCHIVED – Set Theory
  • ARCHIVED – Combinatorics
  • ARCHIVED – Probability – Basics/GeneraI
  • ARCHIVED – Theoretical Probability
  • ARCHIVED – Empirical (Experimental) Probability
  • ARCHIVED – Probability Addition Rules
  • ARCHIVED – Probability Multiplication Rule
  • ARCHIVED – Probability – Tons of Exercises & Solutions
  • ARCHIVED – Conditional Probability
  • ARCHIVED – Theorem of Total Probability
  • ARCHIVED – Bayes’ Theorem
  • ARCHIVED – Bayes’ Theorem, Total Probability and Depend Events – Decision Tree
  • ARCHIVED – Linear Algebra – Matrices
  • BONUS SECTION