Types of probability distributions
In probability, a singular distribution is a probability distribution concentrated on a set of Lebesgue measure zero, where the probability of each point in that set is zero. (Wikipedia).
The Normal Distribution (1 of 3: Introductory definition)
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From playlist The Normal Distribution
What is a Sampling Distribution?
Intro to sampling distributions. What is a sampling distribution? What is the mean of the sampling distribution of the mean? Check out my e-book, Sampling in Statistics, which covers everything you need to know to find samples with more than 20 different techniques: https://prof-essa.creat
From playlist Probability Distributions
Determining values of a variable at a particular percentile in a normal distribution
From playlist Unit 2: Normal Distributions
Uniform Probability Distribution Examples
Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.
From playlist Probability Distributions
Intro to non normal distributions. Several examples including exponential and Weibull.
From playlist Probability Distributions
What is a Unimodal Distribution?
Quick definition of a unimodal distribution and how it compares to a bimodal distribution and a multimodal distribution.
From playlist Probability Distributions
UNIFORM Probability Distribution for Discrete Random Variables (9-5)
Uniform Probability Distribution: (i.e., a rectangular distribution) is a probability distribution involving one random variable with a constant probability. Each potential outcome is equally likely, such as flipping coin and getting heads is always 50/50. On Chaos Night, Dante experiment
From playlist Discrete Probability Distributions in Statistics (WK 9 - QBA 237)
Distribution, Mean, Median, Mode, Range and Standard Deviation Lesson
This is part 1 of a lesson on describing data.
From playlist The Normal Distribution
Sampling Distribution of the PROPORTION: Friends of P (12-2)
The sampling distribution of the proportion is the probability distribution of all possible values of the sample proportions. It is analogous to the Distribution of Sample Means. When the sample size is large enough, the sampling distribution of the proportion can be approximated by a norm
From playlist Sampling Distributions in Statistics (WK 12 - QBA 237)
Singular Learning Theory - Seminar 2 - Fisher information, KL-divergence and singular models
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this second seminar Edmund Lau sets up regular and singular models, and hints at the effect of geometry near singularities on learning. The
From playlist Metauni
The flexibility of caustics and its applications - Daniel Alvarez-Gavela
Workshop on the h-principle and beyond Topic: The flexibility of caustics and its applications Speaker: Daniel Alvarez-Gavela Affiliation: Massachusetts Institute of Technology Date: November 03, 2021 Alvarez-Gavela-2021-11-03 Singularities of smooth maps are flexible: there holds an h
From playlist Mathematics
Eigenvalues of product random matrices by Nanda Kishore Reddy
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Variational Bayesian NNs and Resolution of Singularities - Singular Learning Theory Seminar 35
Edmund Lau presents recent work jointly with Susan Wei, on variational inference, Bayesian neural networks and how this field can be improved using ideas from singular learning theory. You can join this seminar from anywhere, on any device, at https://www.metauni.org. All are welcome. Th
From playlist Singular Learning Theory
A Survey of Singular Learning | AISC
For slides and more information on the paper, visit https://aisc.ai.science/events/2019-09-09 Discussion lead: Mehdi Garrousian Motivation: Singular Learning This session is a survey of results from the works of Sumio Watanabe [1] on using resolution of singularity techniques from non
From playlist Math and Foundations
Werner Seiler, Universität Kassel
February 22, Werner Seiler, Universität Kassel Singularities of Algebraic Differential Equations
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Grigorios Paouris: Non-Asymptotic results for singular values of Gaussian matrix products
I will discuss non-asymptotic results for the singular values of products of Gaussian matrices. In particular, I will discuss the rate of convergence of the empirical measure to the triangular law and discuss quantitive results on asymptotic normality of Lyapunov exponents. The talk is bas
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Seminar 9: Surya Ganguli - Statistical Physics of Deep Learning
MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Surya Ganguli Describes how the application of methods from statistical physics to the analysis of high-dimensional data can provide theoretical insi
From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015
Singular Learning Theory - Seminar 3 - Neural networks and the Bayesian posterior
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Liam Carroll explains free energy, feedforward neural networks and the role of the Bayesian posterior, and shows some plots of p
From playlist Metauni
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
In-context learning in SLT Pt 3 - Singular Learning Theory Seminar 32
We continue the discussion of in-context learning from Seminar 31. The Transformer is formulated as a statistical model and its posterior is discussed. The ways in which the hypothesis about contexts being "effective weight shifts" translates into properties of the Bayesian posterior is ra
From playlist Singular Learning Theory