awesome machine learning and deep learning mathematics [](https://github.com/sindresorhus/awesome)

A curated list of awesome machine learning and deep learning mathematics and advanced mathematics descriptions,documents,concepts,study materials,videos,libraries and software (by language).

Table of Contents

• INTRODUCTION
  • Why Maths Important for Machine Learning?
• BASICS
  • What is Machine Learning?
  • What is Deep Learning?
  • Applications of Mathematics in Machine and Deep Learning?
  • Machine and Deep Learning with Mathematics vs without Mathematics
• MATHEMATICAL TOPICS FOR MACHINE AND DEEP LEARNING
  • Linear Algebra
  • Probability and Statistics
  • Linear Calculus
  • Vector Calculus
  • Tensor Calculus
  • Other Calculus Topics
  • Graphs Theory
  • Complexity Theorems
  • Number Theory
  • Optimization Theorems
  • Topology
• ADVANCED MATHEMATICAL TOPICS FOR MACHINE AND DEEP LEARNING
  • Hamiltonian Calculus
  • Halleys Calculus
  • Complex Numbers
  • Quaterinions
  • Sedenions
  • Qudratic Function
  • Advanced Probability and Statistics
  • NP Problem
• LINEAR ALGEBRA
  • Linear Equations
  • Polynomial Equations
  • Vectors
  • Matrices
  • Tensors
  • Vector Space
  • eigenvalues and eigenvectors
  • Cartesian Coordinate System
  • Matrix Decomposition
  • Tensor Decomposition
  • Structural Geometry
  • Factorial
• PROBABILITY AND STATISTICS
  • Probability
  • Rules of probability
  • Mean
  • Median
  • Mode
  • Variance
  • Standard Deviation
  • Random Variables
  • Probability Distribution
  • Conditional Probability
  • Probability Density Function
  • Cumulative Probability Distribution
  • Sample or Sampling
  • Population
  • Statistical Inference
  • Maximum likelihood
  • Binomial Distribution
  • Normal Distribution
  • Gaussian Distribution
  • Statistical Models
  • Expectation Maximization
  • Central Limit Theorem
  • Adequality
  • Local Minima and Maxima
  • Regression
  • Linear Regression
  • Stochastic Process
  • Hypothesis
  • Bayesian Probability
  • Null Hypothesis
  • Confidence Interval
  • Correlation
  • Correlation Coefficient
  • Histogram
  • Z-Score
  • Covariance
  • Least Square Fitting
  • Posterior Probability
  • Bootstrapping
  • Cross Validation
  • Muller Theorem
• ADVANCED PROBABILITY AND STATISTICS
  • Linear Regression
  • Tangent
  • Hyperbolic Tangent
  • Gompertz curve
  • ogee curve
  • Sigmoid function
  • Activation function
  • Generalized logistic curve
  • Gompertz function
  • Heaviside step function
  • Hyperbolic function
  • Logistic distribution
  • Logistic function
  • Logistic regression
  • Logit
  • Modified hyperbolic tangent
  • Softplus function
  • Smoothstep
  • Softmax function
  • Weibull distribution
  • Netoid function
  • Monte Carlo Method
  • Empirical Mean
  • Stationary Probability Distribution
  • Empirical Measures
  • McKean-Vlasov Processes
  • Nonlinear Filtering Equation
  • Hessian Matrix
  • Ising Model
• APPROXIMATION TECHNIQUE or OPTIMIZATION THEOREMS
  • Taylor Series
  • Gradient Descent
  • Newtons Theorem
  • Newtons Law of Approximation
  • Root Finding Algorithms
  • Householder's Method
  • Rational Approximation
  • Halleys Approximation
  • Padé Approximation
  • Diophantine Approximation
  • Transcendental Number Theory
  • Simulated Annealing
  • Steepest Descent
• OTHER CALCULUS TOPICS
  • Differential Calculus
  • Integral Calculus
  • Propositional calculus
  • Ricci Calculus
  • Lambda Calculus
  • Stochastic Calculus
  • Hamiltonian Calculus
  • Taylor's Theorem
  • L'Hôpital's rule
• TOPOLOGY
  • Set Theory
  • Axioms
  • General Topology
  • Topological Space Theory
  • Algebraic Topology
  • Differential Topology
  • Tensor Space Theory
  • Low Dimensional Space Theory
  • Knot Theory
  • Continuous Functions
  • Homeomorphisms
  • Klein Bottle
  • Topological Invariants
  • Topological Data Analysis
  • Proximity Parameters
  • Betti Number
  • Persistent Homology
  • Klein bottle
• TYPES OF MECHANICS FOR MATHEMATICS AND MACHINE LEARNING
  • Analytical mechanics
  • Lagrangian mechanics
  • Hamiltonian mechanics
  • Routhian mechanics
  • Koopman–von Neumann mechanics
• FACTORIAL
  • Gamma Function
• MEETUPS
• GOOGLE GROUPS
• COMPANIES DOING PRODUCTS
• LINKEDLIN GROUPS
• DEGREES
• CONSOLIDATED BOOKS
• CONSOLIDATED VIDEOS
• CONSOLIDATED Reserach Papers
• CONSOLIDATED Reserach Scientist

License

Dedicated Opensources

• Source code of plenty of Algortihms in Image Processing , Data Mining ,etc in Matlab, Python ,Java and VC++ Scripts
• Good Explanations of Plenty of algorithms with flow chart etc
• Comparison Matrix of plenty of algorithms

Contribution