Bayes Theorem
Concentration Inequalities
Conditional Probability
Continuous Probability Distributions
Continuous Random Variables
Discrete Probability Distributions
Discrete Random Variables
Ergodicity
Free Probability
Free Probability Theory
Limit theorems
Markov Chains
Moment Generating Functions
Poisson Process
Probability Density Functions
Probability Distributions
Random Walks
Rough Path Theory
Schramm-Loewner Evolution
Stochastic Processes
Uniform Distribution
Paul G. Allen School
The Value and Pitfalls of Proof
Explore the critical balance between computational methods and mathematical proofs through real-world examples where simulations fail and theoretical proofs triumph in solving complex problems.
YouTube1 hour 5 minutesSelf-pacedFree video
Institute for Pure & Applied Mathematics (IPAM)
An Enriched Category Theory of Language
Explore how enriched category theory provides a mathematical framework for analyzing language structure and semantics, with applications to large language models and linguistic expressions.
YouTube51 minutesSelf-pacedFree video
TEDx Talks
Flip a coin. | Minnie Hwang | TEDxChadwick International School
If a coin lands, was it really 50/50? This Tedx-talk directly challenges the idea that our society must accept probabilities. Probabilities never described our world, it described our assumptions on it. So, it probability is more based on assumption, than it is on truth, to what extend can we really
YouTube7mSelf-pacedFree video