🔢 Mathematical Foundations

Linear algebra, calculus, probability, statistics and optimisation — the maths behind ML

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Lecture 8: Tail Bounds

Mathematical Foundations

Lecture 8: Tail Bounds

MIT OpenCourseWare Advanced 6mo ago

Lecture 14: Stochastic Processes II

Mathematical Foundations ⚡ AI Lesson

Lecture 14: Stochastic Processes II

MIT OpenCourseWare Intermediate 7mo ago

Lecture 4: Linear Algebra (cont.); Probability Theory

Mathematical Foundations ⚡ AI Lesson

Lecture 4: Linear Algebra (cont.); Probability Theory

MIT OpenCourseWare Beginner 7mo ago

Lecture 2: Linear Algebra

Mathematical Foundations ⚡ AI Lesson

Lecture 2: Linear Algebra

MIT OpenCourseWare Advanced 7mo ago

Lecture 8: Regression Analysis (cont.)

Mathematical Foundations

Lecture 8: Regression Analysis (cont.)

MIT OpenCourseWare Intermediate 7mo ago

Lecture 24: Stochastic Calculus

Mathematical Foundations ⚡ AI Lesson

Lecture 24: Stochastic Calculus

MIT OpenCourseWare Beginner 7mo ago

Lecture 10: Counterparty Risk Optimization

Mathematical Foundations ⚡ AI Lesson

Lecture 10: Counterparty Risk Optimization

MIT OpenCourseWare Intermediate 7mo ago

Lecture 6: Stochastic Processes I (cont.); Regression Analysis

Mathematical Foundations ⚡ AI Lesson

Lecture 6: Stochastic Processes I (cont.); Regression Analysis

MIT OpenCourseWare Beginner 7mo ago

Lecture 11: Regression Analysis (cont.)

Mathematical Foundations ⚡ AI Lesson

Lecture 11: Regression Analysis (cont.)

MIT OpenCourseWare Intermediate 7mo ago

Lecture 5: Probability Theory (cont.); Stochastic Processes I

Mathematical Foundations ⚡ AI Lesson

Lecture 5: Probability Theory (cont.); Stochastic Processes I

MIT OpenCourseWare Advanced 7mo ago

Lecture 25: Stochastic Calculus (cont.); Stochastic Differential Equations

Mathematical Foundations ⚡ AI Lesson

Lecture 25: Stochastic Calculus (cont.); Stochastic Differential Equations

MIT OpenCourseWare Advanced 7mo ago

Lecture 21: Random Variables

Mathematical Foundations

Lecture 21: Random Variables

MIT OpenCourseWare Advanced 11mo ago

Lecture 23: Expectation and Variance

Mathematical Foundations

Lecture 23: Expectation and Variance

MIT OpenCourseWare Advanced 11mo ago

The Four Fundamental Subspaces and Least Squares

Mathematical Foundations

The Four Fundamental Subspaces and Least Squares

MIT OpenCourseWare Beginner 1y ago

Elimination and Factorization A = CR

Mathematical Foundations

Elimination and Factorization A = CR

MIT OpenCourseWare Intermediate 1y ago

Lecture 25: Thermodiffusive Effects; Multicomponent Transport

Mathematical Foundations

Lecture 25: Thermodiffusive Effects; Multicomponent Transport

MIT OpenCourseWare Beginner 1y ago

Lecture 13: The Gibbs Paradox; Shannon Information Entropy; Single Quantum Particle in a Box

Mathematical Foundations

Lecture 13: The Gibbs Paradox; Shannon Information Entropy; Single Quantum Particle in a Box

MIT OpenCourseWare Beginner 1y ago

Lecture 20: Chemical Kinetics; The Arrhenius Law; Degree of Disequilibrium; Principle of...

Mathematical Foundations

Lecture 20: Chemical Kinetics; The Arrhenius Law; Degree of Disequilibrium; Principle of...

MIT OpenCourseWare Beginner 1y ago

Lecture 17: Liquid-Liquid Spinodal Decomposition; Introduction to Systems with Chemical Reactions

Mathematical Foundations ⚡ AI Lesson

Lecture 17: Liquid-Liquid Spinodal Decomposition; Introduction to Systems with Chemical Reactions

MIT OpenCourseWare Beginner 1y ago

Lotfullah from Afghanistan: An Open Learner's Story

Mathematical Foundations

Lotfullah from Afghanistan: An Open Learner's Story

MIT OpenCourseWare Beginner 1y ago

Nader from Jordan: An Open Learner's Story

Mathematical Foundations

Nader from Jordan: An Open Learner's Story

MIT OpenCourseWare Beginner 1y ago

Introduction to R, Part I: Interface and Data Structures

Mathematical Foundations

Introduction to R, Part I: Interface and Data Structures

MIT OpenCourseWare Beginner 2y ago

Lecture 07: Functions of Random Variables

Mathematical Foundations

Lecture 07: Functions of Random Variables

MIT OpenCourseWare Intermediate 2y ago

Lecture 13. Confidence Intervals, Hypothesis Testing, and Power Calculations

Mathematical Foundations

Lecture 13. Confidence Intervals, Hypothesis Testing, and Power Calculations

MIT OpenCourseWare Intermediate 2y ago

Lecture 09: Expectation, Variance, and Introduction to Regression

Mathematical Foundations ⚡ AI Lesson

Lecture 09: Expectation, Variance, and Introduction to Regression

MIT OpenCourseWare Beginner 2y ago

Lecture 13: Introducing the Dirac Equation

Mathematical Foundations

Lecture 13: Introducing the Dirac Equation

MIT OpenCourseWare Beginner 2y ago

Lecture 8: Path Integral Formalism for Non-Relativistic Quantum Mechanics

Mathematical Foundations ⚡ AI Lesson

Lecture 8: Path Integral Formalism for Non-Relativistic Quantum Mechanics

MIT OpenCourseWare Advanced 2y ago

Lecture 7: Interacting Theories and S-Matrix

Mathematical Foundations

Lecture 7: Interacting Theories and S-Matrix

MIT OpenCourseWare Beginner 2y ago

Lecture 14: Lorentz Covariance of the Dirac Equation

Mathematical Foundations

Lecture 14: Lorentz Covariance of the Dirac Equation

MIT OpenCourseWare Advanced 2y ago

Five Factorizations of a Matrix

Mathematical Foundations

Five Factorizations of a Matrix

MIT OpenCourseWare Beginner 2y ago

Lecture 5 Part 1: Derivative of Matrix Determinant and Inverse

Mathematical Foundations ⚡ AI Lesson

Lecture 5 Part 1: Derivative of Matrix Determinant and Inverse

MIT OpenCourseWare Beginner 2y ago

Lecture 5 Part 3: Differentiation on Computational Graphs

Mathematical Foundations ⚡ AI Lesson

Lecture 5 Part 3: Differentiation on Computational Graphs

MIT OpenCourseWare Beginner 2y ago

Lecture 8 Part 1: Derivatives of Eigenproblems

Mathematical Foundations

Lecture 8 Part 1: Derivatives of Eigenproblems

MIT OpenCourseWare Beginner 2y ago

Lecture 3 Part 1: Kronecker Products and Jacobians

Mathematical Foundations

Lecture 3 Part 1: Kronecker Products and Jacobians

MIT OpenCourseWare Beginner 2y ago

Lecture 2 Part 1: Derivatives in Higher Dimensions: Jacobians and Matrix Functions

Mathematical Foundations ⚡ AI Lesson

Lecture 2 Part 1: Derivatives in Higher Dimensions: Jacobians and Matrix Functions

MIT OpenCourseWare Beginner 2y ago

Lecture 7 Part 2: Second Derivatives, Bilinear Forms, and Hessian Matrices

Mathematical Foundations

Lecture 7 Part 2: Second Derivatives, Bilinear Forms, and Hessian Matrices

MIT OpenCourseWare Beginner 2y ago

Lecture 4 Part 1: Gradients and Inner Products in Other Vector Spaces

Mathematical Foundations ⚡ AI Lesson

Lecture 4 Part 1: Gradients and Inner Products in Other Vector Spaces

MIT OpenCourseWare Beginner 2y ago

Lecture 2 Part 2: Vectorization of Matrix Functions

Mathematical Foundations ⚡ AI Lesson

Lecture 2 Part 2: Vectorization of Matrix Functions

MIT OpenCourseWare Beginner 2y ago

Lecture 7 Part 1: Derivatives of Random Functions

Mathematical Foundations

Lecture 7 Part 1: Derivatives of Random Functions

MIT OpenCourseWare Beginner 2y ago

Lecture 6 Part 2: Calculus of Variations and Gradients of Functionals

Mathematical Foundations

Lecture 6 Part 2: Calculus of Variations and Gradients of Functionals

MIT OpenCourseWare Beginner 2y ago

9A. Networks 1: Systems Biology, Metabolic Kinetic & Flux Balance Optimization Methods

Mathematical Foundations

9A. Networks 1: Systems Biology, Metabolic Kinetic & Flux Balance Optimization Methods

MIT OpenCourseWare Advanced 3y ago

Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem

Mathematical Foundations ⚡ AI Lesson

Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem

MIT OpenCourseWare Intermediate 4y ago

Lecture 6: Photometric Stereo, Noise Gain, Error Amplification, Eigenvalues and Eigenvectors Review

Mathematical Foundations

Lecture 6: Photometric Stereo, Noise Gain, Error Amplification, Eigenvalues and Eigenvectors Review

MIT OpenCourseWare Intermediate 4y ago

Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination

Mathematical Foundations

Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination

MIT OpenCourseWare Intermediate 4y ago

1. Introduction and Matrix Multiplication

Mathematical Foundations

1. Introduction and Matrix Multiplication

MIT OpenCourseWare Beginner 4y ago

17: Principal Components Analysis_ - Intro to Neural Computation

Mathematical Foundations ⚡ AI Lesson

17: Principal Components Analysis_ - Intro to Neural Computation

MIT OpenCourseWare Beginner 6y ago

15: Matrix Operations - Intro to Neural Computation

Mathematical Foundations

15: Matrix Operations - Intro to Neural Computation

MIT OpenCourseWare Beginner 6y ago

Intro: A New Way to Start Linear Algebra

Mathematical Foundations

Intro: A New Way to Start Linear Algebra

MIT OpenCourseWare Beginner 6y ago