Probability Theory Courses and Certifications

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Grand Unified Theory of AI - Multi-Agent Systems Explained with Google ADK

Explore Google's mathematical framework for multi-agent AI systems using their Agent Development Kit, covering probabilistic formulations, context engineering, and production-grade implementation.

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

Steve Brunton

Maximum Likelihood Estimation with Examples

Discover Maximum Likelihood Estimation fundamentals through clear derivations and Poisson distribution examples, building foundation for Bayesian MAP estimation in statistical modeling.

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

NCCR SwissMAP

Random Growth Loewner Evolution - Master Class in Mathematical Physics 2019-2020

Dive into Random Growth Loewner Evolution through advanced mathematical physics concepts and stochastic processes in this intensive master class session.

• YouTube
• 1 day 26 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Random Matrices and Universality 1 - Master Class in Mathematical Physics 2019-2020

Dive into advanced mathematical physics through comprehensive study of random matrix theory and universality principles in this intensive 21-hour master class series.

• YouTube
• 21 hours 1 minute
• Self-Paced
• Free Video

Harvard CMSA

Classical, Quantum, and Probabilistic Integrable Systems - Novel Interactions and Applications

Explore advanced mathematical frameworks connecting classical mechanics, quantum systems, and probability theory through cutting-edge research presentations.

• YouTube
• 1 day 14 hours 58 minutes
• Self-Paced
• Free Video

Fields Institute

Introduction to Random Walks on Groups

Explore the mathematical theory of random walks on groups through 21 comprehensive lectures from the Fields Institute's graduate-level program.

• YouTube
• 1 day 6 hours 4 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Topics in High Dimensional Probability

Explore advanced mathematical concepts in high-dimensional probability through expert lectures on random matrices, geometric approaches, and complex stochastic models.

• YouTube
• 1 day 2 hours 52 minutes
• Self-Paced
• Free Video

Richard McElreath

Statistical Rethinking 2026 - Garden of Forking Data - Lecture A02

Explore Bayesian reasoning through the garden of forking data metaphor to understand how statistical models update beliefs with new evidence.

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

Steve Brunton

Properties of Chi-Squared and Student's t Distributions

Discover key properties of Chi-Squared and Student's t distributions, including their construction, degrees of freedom, and relationships to sample variance and normal distributions.

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

Richard McElreath

Statistical Rethinking 2026 - Categories and Causes - Lecture A04

Explore categorical variables and causal inference in Bayesian statistics through practical modeling techniques and real-world applications.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Steve Brunton

Bayesian Updates and Conjugate Priors

Discover how to update Bayesian models with new data using conjugate priors, ensuring posterior distributions remain in the same family as priors for efficient computation.

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

Richard McElreath

Statistical Rethinking 2026 - Introduction to Bayesian Workflow - Lecture A01

Discover Bayesian workflow fundamentals through statistical rethinking principles and practical methodology for data analysis and inference.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Pascal Poupart

Markov Processes

Explore Markov processes, their assumptions, and applications in decision-making through concrete examples and problem-solving techniques.

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

International Centre for Theoretical Sciences

Critical Phenomena Through the Lens of the Ising Model by Hugo Duminil-Copin

Explore critical phenomena in the Ising model, a powerful tool for understanding cooperative phenomena in statistical physics, with insights on recent progress in three and four dimensions.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Yang-Mills for Mathematicians by Sourav Chatterjee

Exploration of Yang-Mills theories, lattice gauge theories, quark confinement, mass gap, and gauge-string duality as probabilistic problems in quantum field theory construction.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video