Probability Theory Courses and Certifications

Numberphile

The Big Daddy of Infinite Integrals - Exploring the Gaussian Integral

Discover the Gaussian Integral, the most important infinite integral in mathematics, through expert exploration of its elegant proof and wide-ranging applications.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Data Compression I - Lecture 5: Asymptotic Equipartition Property

Explore the Asymptotic Equipartition Property in data compression, a fundamental concept for understanding information theory and efficient coding techniques.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Stanford EE274: Data Compression - Beyond IID Distributions: Conditional Entropy - Lecture 8

Explore conditional entropy and advanced data compression techniques beyond IID distributions in this Stanford lecture, enhancing understanding of complex information theory concepts.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Constructing Physics-Consistent Neural Networks Using Probability Theory

Explore the link between probability, physics, and neural networks, focusing on constructing physics-consistent models using Gaussian processes and the central limit theorem.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Deep Generative Models - Maximum Likelihood Learning - Lecture 4

Explore maximum likelihood learning in deep generative models with Stanford's Stefano Ermon. Gain insights into advanced AI techniques and their applications in this comprehensive lecture.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Deep Generative Models - Lecture 2: Background

Explore fundamental concepts and background for deep generative models, covering essential topics to build a strong foundation in this advanced machine learning field.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

MIT RES.6-012 Introduction to Probability, Spring 2018

Comprehensive introduction to probability theory, covering key concepts, tools, and applications. Explores discrete and continuous probability, random variables, inference, and stochastic processes through lectures and examples.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

From Ronald Ross to ChatGPT: The Birth and Strange Life of the Random Walk

Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

University of Tübingen

Mathematics for Machine Learning

Comprehensive exploration of linear algebra, calculus, probability theory, and statistics essential for machine learning, covering fundamental concepts to advanced applications.

• YouTube
• 1 day 17 hours
• Self-Paced
• Free Online Course

NPTEL;  IIT Kanpur

Manufacturing Systems Technology Part II

Explore quality engineering, design experiments, and statistical tools for manufacturing. Learn robust design, control charts, and probability distributions to enhance product quality and process efficiency.

• YouTube
• 10 hours
• Self-Paced
• Free Video

UCLA Automated Reasoning Group

Causality - Interventions and Counterfactuals

Dive into causal inference fundamentals, exploring interventions and counterfactuals with intuitive explanations and key results from Bayesian network theory.

• YouTube
• 3 hours 57 minutes
• Self-Paced
• Free Video

UCLA Automated Reasoning Group

Bayesian Networks - Selected Lectures

Discover probabilistic reasoning fundamentals through Bayesian networks, covering syntax, semantics, inference methods, parameter learning, and advanced causality concepts.

• YouTube
• 7 hours 32 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Introduction to Statistical Mechanics 1 - Mathematical Physics 2019-2020

Master the fundamental principles of statistical mechanics through rigorous mathematical frameworks and thermodynamic systems analysis.

• YouTube
• 21 hours 50 minutes
• Self-Paced
• Free Video

Center for Science of Information NSF STC

Theory and Application of Network Coding

Explore network coding fundamentals, applications in wireless networks, and connections to information theory, complexity, and graph theory for enhanced communication performance.

• YouTube
• 2 hours 32 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Universality for Random Matrix Ensembles of Wigner Type

Dive into advanced random matrix theory with Terry Tao, exploring universality phenomena in Wigner-type ensembles through rigorous mathematical analysis and proofs.

• YouTube
• 4 hours 8 minutes
• Self-Paced
• Free Video