Bayesian statistics | Conjugate prior distributions
In Bayesian probability theory, if the posterior distribution is in the same probability distribution family as the prior probability distribution , the prior and posterior are then called conjugate distributions, and the prior is called a conjugate prior for the likelihood function . A conjugate prior is an algebraic convenience, giving a closed-form expression for the posterior; otherwise, numerical integration may be necessary. Further, conjugate priors may give intuition by more transparently showing how a likelihood function updates a prior distribution. The concept, as well as the term "conjugate prior", were introduced by Howard Raiffa and Robert Schlaifer in their work on Bayesian decision theory. A similar concept had been discovered independently by George Alfred Barnard. (Wikipedia).
Definition of conjugate priors, and a couple of examples. For more detailed examples, see the videos on the Beta-Bernoulli model, the Dirichlet-Categorical model, and the posterior distribution of a univariate Gaussian.
From playlist Machine Learning
What is the complex conjugate?
What is the complex conjugate of a complex number? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
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From playlist Intro to Complex Numbers
Calculations with the complex conjugate
How to perform calculations with the complex conjugate. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
17 - Conjugate priors - an introduction
This video provides a short introduction to the concept of 'conjugate prior distributions'; covering its definition, examples and why we may choose to specify a distribution that is conjugate to a given likelihood. If you are interested in seeing more of the material, arranged into a play
From playlist Bayesian statistics: a comprehensive course
Calculus 2: Complex Numbers & Functions (8 of 28) Conjugate Rules 1 and 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show numerically that the sum and product of the conjugate are the sums and products of its conjugates, rules 1 and 2. Next video in the series can be seen at: https://youtu.be/QsalK_U5Lm
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
Ex: Multiplying Complex Conjugates
This video defines complex conjugates and provides and example of how to determine the product of complex conjugates. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
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Bayesian Statistics: An Introduction
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Complex conjugate and linear systems
How to solve linear systems with the complex conjugate. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Kerrie Mengersen: Bayesian Modelling
Abstract: This tutorial will be a beginner’s introduction to Bayesian statistical modelling and analysis. Simple models and computational tools will be described, followed by a discussion about implementing these approaches in practice. A range of case studies will be presented and possibl
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20 - Beta conjugate prior to Binomial and Bernoulli likelihoods
This video sketches a short proof of the fact that a Beta distribution is conjugate to both Binomial and Bernoulli likelihoods. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB
From playlist Bayesian statistics: a comprehensive course
41 - Proof: Gamma prior is conjugate to Poisson likelihood
This video provides a proof of the fact that a Gamma prior distribution is conjugate to a Poisson likelihood function. If you are interested in seeing more of the material on Bayesian statistics, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4
From playlist Bayesian statistics: a comprehensive course
A description of the syllabus that will be covered in this course on Bayesian statistics. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm Unfortunately, Ox Educ is no m
From playlist Bayesian statistics: a comprehensive course
Stanford CS234: Reinforcement Learning | Winter 2019 | Lecture 12 - Fast Reinforcement Learning II
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Professor Emma Brunskill, Stanford University http://onlinehub.stanford.edu/ Professor Emma Brunskill Assistant Professor, Computer Science Stanford AI for Hu
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ML Tutorial: Probabilistic Numerical Methods (Jon Cockayne)
Machine Learning Tutorial at Imperial College London: Probabilistic Numerical Methods Jon Cockayne (University of Warwick) February 22, 2017
From playlist Machine Learning Tutorials
Complex Conjugate Root Theorem (2 of 2: Other conjugate properties)
More resources available at www.misterwootube.com
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Jason Parker - Covariant Isotropy of Grothendieck Toposes
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/ParkerSlidesToposesOnline.pdf Covariant isotropy can be regarded as providing an abstract notion of conjugation or i
From playlist Toposes online