Normal Distribution & Probability Problems
Comprehensive introduction to normal distribution and probability, covering calculation methods, practice problems, and key concepts like the 68-95-99.7 rule for a solid understanding of the topic.
But What Is the Central Limit Theorem?
Visual exploration of the Central Limit Theorem, explaining its significance in probability and statistics through animations, simulations, and real-world examples.
Statistics Lecture - Introduction to Probability
Comprehensive introduction to probability concepts, covering sample spaces, events, observed and classical probabilities, and subjective probability, with practical examples and applications.
Remarks on the Discrete Cube
Explore probability theory on the discrete cube, covering Fourier analysis, Poisson inequality, and random walks, with applications in high-dimensional geometry and computation.
Probability Tutorial
Explore probability concepts, from uncertainty to Bayesian reasoning, with practical applications in graphical models and hidden Markov models.
The One Dimensional Random Walk Hypergroup - Diffusion Symmetry
Explore affine transformations, representation theory, and random walks on a 1D lattice. Learn about hypergroups and calculate probabilities in this advanced mathematics lecture.
Problems With the Calculus - Math History - NJ Wildberger
Exploring historical controversies in calculus, including debates on derivatives, integrals, and curves, highlighting critiques from notable figures and ongoing mathematical challenges.
Newcomb's Paradox - Famous Math Problems
Explore Newcomb's paradox, a mathematical-philosophical puzzle involving free will, determinism, and rationality. Learn about expected value and strategies for decision-making in uncertain scenarios.
Random Walks
Explore random walks and Markov chains, covering key concepts, theorems, and real-world applications like PageRank. Gain insights into probability theory and graph algorithms.
Probability 1
Explore key concepts in probability theory, including events, conditioning, chain rule, and independence, with practical examples and problem-solving techniques.
Walking Randomly, Massively, and Efficiently
Explore efficient random walk algorithms for massive graphs, focusing on PageRank implementation and optimization techniques for undirected edges and degree-based calculations.
Statistics Tutorial - T Distribution and Hypothesis Testing
Learn to calculate and interpret T distributions, use T tables, understand degrees of freedom, and perform hypothesis testing with independent and dependent samples in this comprehensive statistics tutorial.
Basic Probability Examples
Explore fundamental probability concepts through practical examples, covering conditional probability, independent events, and more.
Probability - Math for Machine Learning
Explore core probability concepts for machine learning, including surprises, loss functions, and Gaussians. Gain insights into the mathematical foundations of ML algorithms.
Your Dreams May Come True with MTP2 by Caroline Uhler
Explore multivariate totally positive distributions, their properties, and applications in various fields. Learn about density estimation, ML estimation, and practical uses in portfolio selection and gene networks.
Large Deviations for Triangle Densities
Explore large deviations for triangle densities in graphs, including Borell's inequality, Gaussian noise stability, and applications to quantum ground states approximation.
Cynthia Vinzant - Log Concave Polynomials and Matroids
Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
Introduction to Probability
Explore fundamental probability concepts, including basic types and their applications in predicting event outcomes and understanding variable behavior in diverse environments.
Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin
Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.
Branching Random Walks - Two Conjectures and a Theorem by Parthanil Roy
Explore branching random walks, their applications, and long-term behavior. Delve into conjectures and theorems with mathematician Parthanil Roy in this engaging lecture on probability theory.
Introduction to the Normal Distribution - Probability and Statistics
Explore the normal distribution in statistics, understanding its key concepts and applications. Learn to analyze data patterns and make informed predictions using this fundamental probability model.