Applications of Bayesian inference
Bayesian inference of phylogeny combines the information in the prior and in the data likelihood to create the so-called posterior probability of trees, which is the probability that the tree is correct given the data, the prior and the likelihood model. Bayesian inference was introduced into molecular phylogenetics in the 1990s by three independent groups: Bruce Rannala and Ziheng Yang in Berkeley, Bob Mau in Madison, and Shuying Li in University of Iowa, the last two being PhD students at the time. The approach has become very popular since the release of the MrBayes software in 2001, and is now one of the most popular methods in molecular phylogenetics. (Wikipedia).
(ML 7.1) Bayesian inference - A simple example
Illustration of the main idea of Bayesian inference, in the simple case of a univariate Gaussian with a Gaussian prior on the mean (and known variances).
From playlist Machine Learning
6 - Bayes' rule in inference - likelihood
Provides an introduction to Bayesian statistics - in particular the likelihood - by running through a simple example of the application of Bayes' rule to the case of inference over a binary parameter, If you are interested in seeing more of the material, arranged into a playlist, please v
From playlist Bayesian statistics: a comprehensive course
7 Bayes' rule in inference the prior and denominator
This provides a short introduction into the use of Bayes' rule in inference, by going through an example where the prior and denominator in the formula are explained. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/play
From playlist Bayesian statistics: a comprehensive course
Part of the End-to-End Machine Learning School Course 191, Selected Models and Methods at https://e2eml.school/191 A walk through a couple of Bayesian inference examples. The blog: http://brohrer.github.io/how_bayesian_inference_works.html The slides: https://docs.google.com/presentatio
From playlist Talks
10 - Bayes' rule in inference - example: graphical intuition
This provides a complete example of how Bayes' rule can be used to conduct inference over a discrete parameter. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm Unfortun
From playlist Bayesian statistics: a comprehensive course
8 - Bayes' rule in inference - example: the posterior distribution
This provides a complete example of how Bayes' rule can be used to conduct inference over a discrete parameter. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm Unfortun
From playlist Bayesian statistics: a comprehensive course
Tim Sullivan: Brittleness and robustness of Bayesian inference for complex systems
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Numerical Analysis and Scientific Computing
Sohini Ramachandran: "Genomic Reconstructions of Deep Human History"
Computational Genomics Summer Institute 2016 "Genomic Reconstructions of Deep Human History" Sohini Ramachandran, Brown University Institute for Pure and Applied Mathematics, UCLA July 19, 2016 For more information: http://computationalgenomics.bioinformatics.ucla.edu/
From playlist Computational Genomics Summer Institute 2016
Sushmita Roy: "Regulatory network inference on developmental and evolutionary lineages"
Computational Genomics Winter Institute 2018 "Regulatory network inference on developmental and evolutionary lineages" Sushmita Roy, University of Wisconsin Madison Institute for Pure and Applied Mathematics, UCLA March 2, 2018 For more information: http://computationalgenomics.bioinfor
From playlist Computational Genomics Winter Institute 2018
Statistical Rethinking 2023 - 16 - Gaussian Processes
Course: https://github.com/rmcelreath/stat_rethinking_2023 Intro music: https://www.youtube.com/watch?v=_3XGEsDSInM Outline 00:00 Introduction 02:37 Oceanic spatial confounds 09:54 Gaussian processes 24:26 Oceanic Gaussian process 33:51 Pause 34:37 Phylogenetic regression 1:18:39 Summary
From playlist Statistical Rethinking 2023
Statistical Rethinking 2023 - 18 - Missing Data
Course: https://github.com/rmcelreath/stat_rethinking_2023 Intro music: https://www.youtube.com/watch?v=RSsstXfcRWw Icebear music: https://www.youtube.com/watch?v=0h9tC3FM9UI Outline 00:00 Introduction 05:18 Missing data in DAGs 19:42 Bayesian imputation part 1 33:34 Pause 34:30 Bayesian
From playlist Statistical Rethinking 2023
16 Sequential Bayes: Data order invariance
A proof of the fact that for independent sequences of data, the order which they are received does not affect the posterior distribution; and hence does not affect inference. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.
From playlist Bayesian statistics: a comprehensive course
Statistical Rethinking 2022 Lecture 16 - Gaussian Processes
Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Intro: https://www.youtube.com/watch?v=uYNzqgU7na4 Music: https://www.youtube.com/watch?v=kXuasY8pDpA Music: https://www.youtube.com/watch?v=eTtTB0nZdL0 Pause: https://www.youtube.com/watch?v=pxPdsqrQByM
From playlist Statistical Rethinking 2022
Ilan Gronau: "Bayesian demography inference: from parameter estimation to model selection"
Computational Genomics Summer Institute 2017 Tutorial: "Bayesian demography inference: from parameter estimation to model selection" Ilan Gronau, IDC Herzliya Institute for Pure and Applied Mathematics, UCLA July 10, 2017 For more information: http://computationalgenomics.bioinformatics
From playlist Computational Genomics Summer Institute 2017
Statistical Rethinking Winter 2019 Lecture 19
Lecture 19 of the Dec 2018 through March 2019 edition of Statistical Rethinking: A Bayesian Course with R and Stan.
From playlist Statistical Rethinking Winter 2019
15 Bayes' rule: why likelihood is not a probability
An explanation as to why likelihood should not be regarded as a probability when it is used in Bayesian inference. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm Unfor
From playlist Bayesian statistics: a comprehensive course
How do we make and compare phylogenetic trees
This video talks about the procedures we use to reconstruct (estimate) phylogenetic trees from data that we have available. The criteria of parsimony, maximum likelihood, and Bayesian probabilities are contrasted. Lastly, the using of bootstrapping to indicate degrees of confidence in tree
From playlist TAMU: Bio 312 - Evolution | CosmoLearning Biology
Principles of Evolution, Ecology and Behavior (EEB 122) Coevolution happens at many levels, not just the level of species. Organelles such as mitochondria and chloroplasts serve as good intracellular examples. Other living things make up a crucial component of an organism's environment.
From playlist Evolution, Ecology and Behavior with Stephen C. Stearns
9 - Bayes' rule in inference - example: forgetting the denominator
This provides a complete example of how Bayes' rule can be used to conduct inference over a discrete parameter. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm Unfortun
From playlist Bayesian statistics: a comprehensive course
Statistical Rethinking Winter 2019 Lecture 20
Lecture 20 of the Dec 2018 through March 2019 edition of Statistical Rethinking: A Bayesian Course with R and Stan. Covers Chapter 15, measurement error and missing data imputation.
From playlist Statistical Rethinking Winter 2019