Continuous distributions | Q-analogs
In mathematical physics and probability and statistics, the Gaussian q-distribution is a family of probability distributions that includes, as limiting cases, the uniform distribution and the normal (Gaussian) distribution. It was introduced by Diaz and Teruel, is a q-analog of the Gaussian or normal distribution. The distribution is symmetric about zero and is bounded, except for the limiting case of the normal distribution. The limiting uniform distribution is on the range -1 to +1. (Wikipedia).
Multivariate Gaussian distributions
Properties of the multivariate Gaussian probability distribution
From playlist cs273a
(PP 6.8) Marginal distributions of a Gaussian
For any subset of the coordinates of a multivariate Gaussian, the marginal distribution is multivariate Gaussian.
From playlist Probability Theory
In this video we discuss the Gaussian (AKA Normal) probability distribution function. We show how it relates to the error function (erf) and discuss how to use this distribution analytically and numerically (for example when analyzing real-life sensor data or performing simulation of stoc
From playlist Probability
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
(ML 7.10) Posterior distribution for univariate Gaussian (part 2)
Computing the posterior distribution for the mean of the univariate Gaussian, with a Gaussian prior (assuming known prior mean, and known variances). The posterior is Gaussian, showing that the Gaussian is a conjugate prior for the mean of a Gaussian.
From playlist Machine Learning
(ML 7.9) Posterior distribution for univariate Gaussian (part 1)
Computing the posterior distribution for the mean of the univariate Gaussian, with a Gaussian prior (assuming known prior mean, and known variances). The posterior is Gaussian, showing that the Gaussian is a conjugate prior for the mean of a Gaussian.
From playlist Machine Learning
A Gentle Introduction to the Normal Probability Distribution (10-4)
A normal distribution models…pretty much everything! The Normal Curve is the idealized distribution, a smooth, continuous, symmetrical line. The normal curve is used with interval and ratio scales, continuous data. The most frequent score is the middle score, less frequent scores above and
From playlist Continuous Probability Distributions in Statistics (WK 10 - QBA 237)
Stanford CS330 I Variational Inference and Generative Models l 2022 I Lecture 11
For more information about Stanford's Artificial Intelligence programs visit: https://stanford.io/ai To follow along with the course, visit: https://cs330.stanford.edu/ To view all online courses and programs offered by Stanford, visit: http://online.stanford.edu Chelsea Finn Computer
From playlist Stanford CS330: Deep Multi-Task and Meta Learning I Autumn 2022
Stanford CS330: Deep Multi-task & Meta Learning I 2021 I Lecture 7
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai To follow along with the course, visit: http://cs330.stanford.edu/fall2021/index.html To view all online courses and programs offered by Stanford, visit: http:/
From playlist Stanford CS330: Deep Multi-Task & Meta Learning I Autumn 2021I Professor Chelsea Finn
Stanford CS229: Machine Learning | Summer 2019 | Lecture 17 - Factor Analysis & ELBO
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3E4MouM Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)
Stanford CS330: Deep Multi-task and Meta Learning | 2020 | Lecture 8 - Bayesian Meta-Learning
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai To follow along with the course, visit: https://cs330.stanford.edu/ To view all online courses and programs offered by Stanford, visit: http://online.stanford.
From playlist Stanford CS330: Deep Multi-task and Meta Learning | Autumn 2020
Stanford CS229: Machine Learning | Summer 2019 | Lecture 16 - K-means, GMM, and EM
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3njDenA Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)
Stanford CS330: Multi-Task and Meta-Learning, 2019 | Lecture 5 - Bayesian Meta-Learning
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Assistant Professor Chelsea Finn, Stanford University http://cs330.stanford.edu/
From playlist Stanford CS330: Deep Multi-Task and Meta Learning
A polynomial lower bound for monotonicity testing...- Rocco Servedio
Rocco Servedio Columbia University March 31, 2014 We prove a Ω̃ (n1/5)Ω~(n1/5) lower bound on the query complexity of any non-adaptive two-sided error algorithm for testing whether an unknown n-variable Boolean function is monotone versus constant-far from monotone. This gives an exponenti
From playlist Mathematics
Stanford CS330: Deep Multi-task and Meta Learning | 2020 | Lecture 13: A Graphical Model Perspective
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai A Graphical Model Perspective on Multi-Task and Meta-RL To follow along with the course, visit: https://cs330.stanford.edu/ To view all online courses and pro
From playlist Stanford CS330: Deep Multi-task and Meta Learning | Autumn 2020
Lecture 13 | Machine Learning (Stanford)
Lecture by Professor Andrew Ng for Machine Learning (CS 229) in the Stanford Computer Science department. Professor Ng lectures on expectation-maximization in the context of the mixture of Gaussian and naive Bayes models, as well as factor analysis and digression. This course provides
From playlist Lecture Collection | Machine Learning
Probability 101d: Central limit theorem
(C) 2012 David Liao lookatphysics.com CC-BY-SA (Replaces previous unscripted draft) Many independent events Binomial distribution in limit of many coin tosses Gaussian distribution
From playlist Probability, statistics, and stochastic processes
(PP 6.9) Conditional distributions of a Gaussian
For any subset of the coordinates of a multivariate Gaussian, the conditional distribution (given the remaining coordinates) is multivariate Gaussian.
From playlist Probability Theory