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  • Mathematical Notation

Probability

  • What is Probability
  • Bayes Theorem
  • Random Variables
  • Discrete Distributions
  • Continuous Distributions
  • Joint Distributions
  • Covariance and Correlation
  • Estimators and Sampling Distributions
  • Moments Generating Functions
  • Maximum Likelihood Estimation
  • Confidence Interval
  • Hypothesis Testing

Deep learning

  • What is Deep Learning
  • Vectors, Matrices, and Tensors
  • Loss Functions
  • Evaluation Metrics

Mathematics

  • Calculus
  • Linear Algebra
  • Statistics

Practice

  • Probability solutions
  • R Solutions
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  • Mathematics for Machine learning and Data Science
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Welcome to Mathematics for Machine learning¶

Quick definitions and intuitive explanations around machine learning and Deep learning.

Contents¶

  • Mathematical Notation

Probability

  • What is Probability
  • Bayes Theorem
  • Random Variables
  • Discrete Distributions
  • Continuous Distributions
  • Joint Distributions
  • Covariance and Correlation
  • Estimators and Sampling Distributions
  • Moments Generating Functions
  • Maximum Likelihood Estimation
  • Confidence Interval
  • Hypothesis Testing

Deep learning

  • What is Deep Learning
  • Vectors, Matrices, and Tensors
  • Loss Functions
  • Evaluation Metrics

Mathematics

  • Calculus
    • Derivatives
  • Linear Algebra
    • Multiplying Matrices and Vectors
    • Hadamard product & element-wise product
    • Dot product
    • Identity and Inverse Matrices
    • Norm
    • The Trace Operator
    • Transpose
    • Diagonal matrix
    • Symmetric matrix
    • Unit Vector
    • Orthogonal Matrix or Orthonormal Vectors
    • Eigendecomposition
    • Singular Value Decomposition
    • The Moore-Penrose Pseudoinverse
    • Principal Components Analysis (PCA)
  • Statistics
    • Mean, Variance and Standard Deviation
    • Covariance and Correlation

Practice

  • Probability solutions
  • R Solutions

Indices and tables¶

  • Index

  • Module Index

  • Search Page

Next

© Copyright 2022, Ikram Ali - mrikram1989@gmail.com. Revision 6803e3b0.

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