Ecosyste.ms: Awesome

An open API service indexing awesome lists of open source software.

https://github.com/krishnakumarsekar/awesome-machine-learning-deep-learning-mathematics

A curated list of mathematics documents ,Concepts, Study Materials , Algorithms and Codes available across the internet for machine learning and deep learning
https://github.com/krishnakumarsekar/awesome-machine-learning-deep-learning-mathematics

List: awesome-machine-learning-deep-learning-mathematics

advanced-probability algorithm approximation-algorithms deep-learning deep-learning-mathematics gradient-descent linear-algebra machine-learning machine-learning-mathematics mathematics probability static-analysis

Last synced: 2 months ago
JSON representation

A curated list of mathematics documents ,Concepts, Study Materials , Algorithms and Codes available across the internet for machine learning and deep learning

Lists

README 

        
# awesome machine learning and deep learning mathematics [![Awesome](https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg)](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).



[![Main Architecture 1](https://image.slidesharecdn.com/machinelearningwithapachemahout-120216160514-phpapp02/95/machine-learning-with-apache-mahout-15-728.jpg?cb=1329409119)](https://ocw.mit.edu/courses/mathematics/18-657-mathematics-of-machine-learning-fall-2015/)

[![Main Architecture 2](https://whatsthebigdata.files.wordpress.com/2017/03/machinelearning_mathtopics.png?w=640)](https://ocw.mit.edu/courses/mathematics/18-657-mathematics-of-machine-learning-fall-2015/)                        



## Table of Contents



- [INTRODUCTION](#introduction)

    - [Why Maths Important for Machine Learning?](#introduction-why-maths)

- [BASICS](#basics)

    - [What is Machine Learning?](#basics-what-machinelearning)

    - [What is Deep Learning?](#basics-what-deeplearning)

    - [Applications of Mathematics in Machine and Deep Learning?](#basics-what-topological-quantum-computing)

    - [Machine and Deep Learning with Mathematics vs without Mathematics](#basics-mathematics-nonmathematics-vs) 

- [MATHEMATICAL TOPICS FOR MACHINE AND DEEP LEARNING](#mathematicaltopics)

    - [Linear Algebra](#mathematicaltopics-linear-algebra)

    - [Probability and Statistics](#mathematicaltopics-probability-statistics)

    - [Linear Calculus](#mathematicaltopics-linear-calculus)

    - [Vector Calculus](#mathematicaltopics-vector-calculus)

    - [Tensor Calculus](#mathematicaltopics-tensor-calculus)

    - [Other Calculus Topics](#mathematicaltopics-other-calculus)

    - [Graphs Theory](#mathematicaltopics-graphs-theory)

    - [Complexity Theorems](#mathematicaltopics-complexity-theorems)

    - [Number Theory](#mathematicaltopics-number-theory)

    - [Optimization Theorems](#mathematicaltopics-optimizationtheorems)

    - [Topology](#mathematicaltopics-topology)

- [ADVANCED MATHEMATICAL TOPICS FOR MACHINE AND DEEP LEARNING](#mathematicaladvancedtopics)

    - [Hamiltonian Calculus](#mathematicaladvancedtopics-hamiltoniancalculus)

    - [Halleys Calculus](#mathematicaladvancedtopics-halleyscalculus) 

    - [Complex Numbers](#mathematicaladvancedtopics-complexnumbers)

    - [Quaterinions](#mathematicaladvancedtopics-quaterinions)

    - [Sedenions](#mathematicaladvancedtopics-sedenions)

    - [Qudratic Function](#mathematicaladvancedtopics-quadraticfunction)

    - [Advanced Probability and Statistics](#mathematicaladvancedtopics-advanced-probability-statistics)

    - [NP Problem](#mathematicaladvancedtopics-npproblem)

- [LINEAR ALGEBRA](#mathematicallinearalgebra)

    - [Linear Equations](#mathematicallinearalgebra-linearequations)

    - [Polynomial Equations](#mathematicallinearalgebra-polynomialequations)

    - [Vectors](#mathematicallinearalgebra-vectors)             

    - [Matrices](#mathematicallinearalgebra-matrices)

    - [Tensors](#mathematicallinearalgebra-tensors)

    - [Vector Space](#mathematicallinearalgebra-vectorspace)

    - [eigenvalues and eigenvectors](#mathematicallinearalgebra-eigen)

    - [Cartesian Coordinate System](#mathematicallinearalgebra-cartesian)

    - [Matrix Decomposition](#mathematicallinearalgebra-matrixdecomposition)

    - [Tensor Decomposition](#mathematicallinearalgebra-tensordecomposition)

    - [Structural Geometry](#mathematicallinearalgebra-structural-geometry)

    - [Factorial](#mathematicallinearalgebra-factorial)

- [PROBABILITY AND STATISTICS](#mathematicalprobabilitystatistics)

    - [Probability](#mathematicalprobabilitystatistics-probability)

    - [Rules of probability](#mathematicalprobabilitystatistics-rulesprobability)

    - [Mean](#mathematicalprobabilitystatistics-mean)

    - [Median](#mathematicalprobabilitystatistics-median)

    - [Mode](#mathematicalprobabilitystatistics-mode)                 

    - [Variance](#mathematicalprobabilitystatistics-variance)

    - [Standard Deviation](#mathematicalprobabilitystatistics-standarddeviation)

    - [Random Variables](#mathematicalprobabilitystatistics-randomvariables)

    - [Probability Distribution](#mathematicalprobabilitystatistics-probabilitydistribution)

    - [Conditional Probability](#mathematicalprobabilitystatistics-conditionalprobability)

    - [Probability Density Function](#mathematicalprobabilitystatistics-probabilitydensityfunction)

    - [Cumulative Probability Distribution](#mathematicalprobabilitystatistics-cumulativeprobabilitydistribution)

    - [Sample or Sampling](#mathematicalprobabilitystatistics-sampling)

    - [Population](#mathematicalprobabilitystatistics-population)

    - [Statistical Inference](#mathematicalprobabilitystatistics-statisticalinference)

    - [Maximum likelihood](#mathematicalprobabilitystatistics-maximumlikelihood)

    - [Binomial Distribution](#mathematicalprobabilitystatistics-binomial)

    - [Normal Distribution](#mathematicalprobabilitystatistics-normal)

    - [Gaussian Distribution](#mathematicalprobabilitystatistics-gaussian)

    - [Statistical Models](#mathematicalprobabilitystatistics-statisticalmodels)

    - [Expectation Maximization](#mathematicalprobabilitystatistics-expectationmaximization)

    - [Central Limit Theorem](#mathematicalprobabilitystatistics-centrallimittheorem)

    - [Adequality](#mathematicalprobabilitystatistics-adequality)

    - [Local Minima and Maxima](#mathematicalprobabilitystatistics-localminimamaxima)                    

    - [Regression](#mathematicalprobabilitystatistics-regression)

    - [Linear Regression](#mathematicalprobabilitystatistics-linearregression)

    - [Stochastic Process](#mathematicalprobabilitystatistics-stochasticprocess)

    - [Hypothesis](#mathematicalprobabilitystatistics-hypothesis)

    - [Bayesian Probability](#mathematicalprobabilitystatistics-bayesian)

    - [Null Hypothesis](#mathematicalprobabilitystatistics-nullhypothesis)

    - [Confidence Interval](#mathematicalprobabilitystatistics-confidenceinterval)

    - [Correlation](#mathematicalprobabilitystatistics-correlation)

    - [Correlation Coefficient](#mathematicalprobabilitystatistics-correlationcoefficient)

    - [Histogram](#mathematicalprobabilitystatistics-histogram)

    - [Z-Score](#mathematicalprobabilitystatistics-zscore)

    - [Covariance](#mathematicalprobabilitystatistics-covariance)

    - [Least Square Fitting](#mathematicalprobabilitystatistics-leastsquarefitting)

    - [Posterior Probability](#mathematicalprobabilitystatistics-posteriorprobability)

    - [Bootstrapping](#mathematicalprobabilitystatistics-bootstrapping)

    - [Cross Validation](#mathematicalprobabilitystatistics-crossvalidation)

    - [Muller Theorem](#mathematicalprobabilitystatistics-mullertheorem)

- [ADVANCED PROBABILITY AND STATISTICS](#mathematicaladvancedprobabilitystatistics)

    - [Linear Regression](#mathematicaladvancedprobabilitystatistics-linearregression)

    - [Tangent](#mathematicaladvancedprobabilitystatistics-tangent)

    - [Hyperbolic Tangent](#mathematicaladvancedprobabilitystatistics-hyperbolictangent)

    - [Gompertz curve](#mathematicaladvancedprobabilitystatistics-gompertzcurve)

    - [ogee curve](#mathematicaladvancedprobabilitystatistics-ogeecurve)

    - [Sigmoid function](#mathematicaladvancedprobabilitystatistics-sigmoidfunction)

    - [Activation function](#mathematicaladvancedprobabilitystatistics-activationfunction)

    - [Generalized logistic curve](#mathematicaladvancedprobabilitystatistics-generalizedlogisticcurve)

    - [Gompertz function](#mathematicaladvancedprobabilitystatistics-gompertzfunction)

    - [Heaviside step function](#mathematicaladvancedprobabilitystatistics-heavisdestepfunction)

    - [Hyperbolic function](#mathematicaladvancedprobabilitystatistics-hyperbolicfunction)                 

    - [Logistic distribution](#mathematicaladvancedprobabilitystatistics-logisticdistribution)

    - [Logistic function](#mathematicaladvancedprobabilitystatistics-logisticfunction)

    - [Logistic regression](#mathematicaladvancedprobabilitystatistics-logisticregression)

    - [Logit](#mathematicaladvancedprobabilitystatistics-logit)

    - [Modified hyperbolic tangent](#mathematicaladvancedprobabilitystatistics-modifiedhyperbolictangent)

    - [Softplus function](#mathematicaladvancedprobabilitystatistics-softplusfunction)

    - [Smoothstep](#mathematicaladvancedprobabilitystatistics-smoothstep)

    - [Softmax function](#mathematicaladvancedprobabilitystatistics-softmaxfunction)

    - [Weibull distribution](#mathematicaladvancedprobabilitystatistics-weibulldistribution)

    - [Netoid function](#mathematicaladvancedprobabilitystatistics-netoidfunction)

    - [Monte Carlo Method](#mathematicaladvancedprobabilitystatistics-mcmc)

    - [Empirical Mean](#mathematicaladvancedprobabilitystatistics-empiricalmean)

    - [Stationary Probability Distribution](#mathematicaladvancedprobabilitystatistics-stationaryprobabilitydistribution)

    - [Empirical Measures](#mathematicaladvancedprobabilitystatistics-empiricalmeasures)

    - [McKean-Vlasov Processes](#mathematicaladvancedprobabilitystatistics-mcKeanvlasovprocesses)

    - [Nonlinear Filtering Equation](#mathematicaladvancedprobabilitystatistics-nonlinearfilteringequation)

    - [Hessian Matrix](#mathematicaladvancedprobabilitystatistics-hessianmatrix)

    - [Ising Model](#mathematicaladvancedprobabilitystatistics-isingmodel)

- [APPROXIMATION TECHNIQUE or OPTIMIZATION THEOREMS](#mathematicalapproximation)

    - [Taylor Series](#mathematicalapproximation-taylorseries)

    - [Gradient Descent](#mathematicalapproximation-gradientdescent)

    - [Newtons Theorem](#mathematicalapproximation-newtonstheorem)

    - [Newtons Law of Approximation](#mathematicalapproximation-newtonslawofapproximation)

    - [Root Finding Algorithms](#mathematicalapproximation-rootfindingalgorithms)

    - [Householder's Method](#mathematicalapproximation-householdersmethod)

    - [Rational Approximation](#mathematicalapproximation-rationalapproximation)

    - [Halleys Approximation](#mathematicalapproximation-halleysapproximation)

    - [Padé Approximation](#mathematicalapproximation-padeapproximation)

    - [Diophantine Approximation](#mathematicalapproximation-diophantineapproximation)

    - [Transcendental Number Theory](#mathematicalapproximation-transcendentalnumbertheory)

    - [Simulated Annealing](#mathematicalapproximation-simulatedannealing)

    - [Steepest Descent](#mathematicalapproximation-steepestdescent)

- [OTHER CALCULUS TOPICS](#mathematicalothercalculus)

    - [Differential Calculus](#mathematicalothercalculus-differential)

    - [Integral Calculus](#mathematicalothercalculus-integral)

    - [Propositional calculus](#mathematicalothercalculus-propositional)             

    - [Ricci Calculus](#mathematicalothercalculus-matrices)

    - [Lambda Calculus](#mathematicalothercalculus-tensors)

    - [Stochastic Calculus](#mathematicalothercalculus-stochastic)

    - [Hamiltonian Calculus](#mathematicalothercalculus-hamiltonian)

    - [Taylor's Theorem](#mathematicalothercalculus-Taylors)

	- [L'Hôpital's rule](#mathematicalothercalculus-LHopital)

- [TOPOLOGY](#mathematicaltopology)

    - [Set Theory](#mathematicaltopology-settheory)

    - [Axioms](#mathematicaltopology-axioms)

    - [General Topology](#mathematicaltopology-generaltopology)

    - [Topological Space Theory](#mathematicaltopology-topologicalspacetheory)

    - [Algebraic Topology](#mathematicaltopology-algebraictopology)

    - [Differential Topology](#mathematicaltopology-differentialtopology)

    - [Tensor Space Theory](#mathematicaltopology-tensorspacetheory)

    - [Low Dimensional Space Theory](#mathematicaltopology-lowdimensionalspacetheory)

    - [Knot Theory](#mathematicaltopology-knottheory)

    - [Continuous Functions](#mathematicaltopology-continuousfunctions)

    - [Homeomorphisms](#mathematicaltopology-homeomorphisms)

    - [Klein Bottle](#mathematicaltopology-kleinbottle)

    - [Topological Invariants](#mathematicaltopology-topologicalinvariants)

    - [Topological Data Analysis](#mathematicaltopology-topologicaldataanalysis)

    - [Proximity Parameters](#mathematicaltopology-proximityparameters)

    - [Betti Number](#mathematicaltopology-bettinumber)

    - [Persistent Homology](#mathematicaltopology-persistenthomology)

    - [Klein bottle](#mathematicaltopology-kleinbottle)

- [TYPES OF MECHANICS FOR MATHEMATICS AND MACHINE LEARNING](#mathematicalmechanics)

    - [Analytical mechanics](#mathematicalmechanics-analyticalmechanics)

    - [Lagrangian mechanics](#mathematicalmechanics-lagrangianmechanics)

    - [Hamiltonian mechanics](#mathematicalmechanics-hamiltonianmechanics)

    - [Routhian mechanics](#mathematicalmechanics-routhianmechanics)

    - [Koopman–von Neumann mechanics](#mathematicalmechanics-koopmanvonneumannmechanics)

- [FACTORIAL](#mathematicalfactorial)

    - [Gamma Function](#mathematicalfactorial-gammafunction)

- [MEETUPS](#mathematicalmeetups)

- [GOOGLE GROUPS](#mathematicalgroups)

- [COMPANIES DOING PRODUCTS](#mathematicalcompanies)

- [LINKEDLIN GROUPS](#mathematicallinkedlin)

- [DEGREES](#mathematicaldegrees)

- [CONSOLIDATED BOOKS](#mathematicalconsolidatedbooks)

- [CONSOLIDATED VIDEOS](#mathematicalconsolidatedvideos)

- [CONSOLIDATED Reserach Papers](#mathematicalconsolidatedresearchpapers)

- [CONSOLIDATED Reserach Scientist](#mathematicalconsolidatedresearchscientist)

                                                                   



### License



[![License](http://mirrors.creativecommons.org/presskit/buttons/88x31/svg/cc-zero.svg)](https://github.com/krishnakumarsekar/awesome-quantum-machine-learning/blob/master/LICENCE)



### Dedicated Opensources



[![Dedicated Opensources](http://livingintown.com/wp-content/uploads/sites/1112/2015/03/coming-soon-small.jpg)]()

                                                                  

* 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