The Markov condition, sometimes called the Markov assumption, is an assumption made in Bayesian probability theory, that every node in a Bayesian network is conditionally independent of its nondescendants, given its parents. Stated loosely, it is assumed that a node has no bearing on nodes which do not descend from it. In a DAG, this local Markov condition is equivalent to the global Markov condition, which states that d-separations in the graph also correspond to conditional independence relations. This also means that a node is conditionally independent of the entire network, given its Markov blanket. The related Causal Markov (CM) condition states that, conditional on the set of all its direct causes, a node is independent of all variables which are not effects or direct causes of that node. In the event that the structure of a Bayesian network accurately depicts causality, the two conditions are equivalent. However, a network may accurately embody the Markov condition without depicting causality, in which case it should not be assumed to embody the causal Markov condition. (Wikipedia).
(ML 18.4) Examples of Markov chains with various properties (part 1)
A very simple example of a Markov chain with two states, to illustrate the concepts of irreducibility, aperiodicity, and stationary distributions.
From playlist Machine Learning
(ML 14.2) Markov chains (discrete-time) (part 1)
Definition of a (discrete-time) Markov chain, and two simple examples (random walk on the integers, and a oversimplified weather model). Examples of generalizations to continuous-time and/or continuous-space. Motivation for the hidden Markov model.
From playlist Machine Learning
Markov Chains Clearly Explained! Part - 1
Let's understand Markov chains and its properties with an easy example. I've also discussed the equilibrium state in great detail. #markovchain #datascience #statistics For more videos please subscribe - http://bit.ly/normalizedNERD Markov Chain series - https://www.youtube.com/playl
From playlist Markov Chains Clearly Explained!
(ML 14.1) Markov models - motivating examples
Introduction to Markov models, using intuitive examples of applications, and motivating the concept of the Markov chain.
From playlist Machine Learning
Intro to Markov Chains & Transition Diagrams
Markov Chains or Markov Processes are an extremely powerful tool from probability and statistics. They represent a statistical process that happens over and over again, where we try to predict the future state of a system. A markov process is one where the probability of the future ONLY de
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Markov Chains: n-step Transition Matrix | Part - 3
Let's understand Markov chains and its properties. In this video, I've discussed the higher-order transition matrix and how they are related to the equilibrium state. #markovchain #datascience #statistics For more videos please subscribe - http://bit.ly/normalizedNERD Markov Chain ser
From playlist Markov Chains Clearly Explained!
Absorption probabilities in finite Markov chains
Code discussed in this video: https://gist.github.com/Nikolaj-K/f660de8cec4551cfb879479470625e20 Wikipedia: https://en.wikipedia.org/wiki/Absorbing_Markov_chain How's life?
From playlist Programming
On Experiments for Causal Inference and System Identification, Nihat Ay
In the first part of his presentation, Professor Nihat Ay of the Max Planck Institute for Mathematics in the Sciences will provide an introduction to the field of causal networks. He will focus on instructive simple examples in order to highlight the core conceptual and philosophical ideas
From playlist Franke Program in Science and the Humanities
Nexus Trimester - Ioannis Kontoyiannis (Athens U of Econ & Business)
Testing temporal causality and estimating directed information Ioannis Kontoyiannis (Athens U of Econ & Business) March 18, 2016 Abstract: The problem of estimating the directed information rate between two Markov chains of arbitrary (but finite) order is considered. Specifically for the
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Matrix Limits and Markov Chains
In this video I present a cool application of linear algebra in which I use diagonalization to calculate the eventual outcome of a mixing problem. This process is a simple example of what's called a Markov chain. Note: I just got a new tripod and am still experimenting with it; sorry if t
From playlist Eigenvalues
Emmanuel Candès: "Sailing Through Data: Discoveries and Mirages"
Green Family Lecture Series 2018 "Sailing Through Data: Discoveries and Mirages" Emmanuel Candès, Stanford University Abstract: For a long time, science has operated as follows: a scientific theory can only be empirically tested, and only after it has been advanced. Predictions are deduc
From playlist Public Lectures
Elina Robeva: "Hidden Variables in Linear Non-Gaussian Causal Models"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop III: Mathematical Foundations and Algorithms for Tensor Computations "Hidden Variables in Linear Non-Gaussian Causal Models" Elina Robeva - University of British Columbia Abstract: Identifying causal
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Markov Chain Stationary Distribution : Data Science Concepts
What does it mean for a Markov Chain to have a steady state? Markov Chain Intro Video : https://www.youtube.com/watch?v=prZMpThbU3E
From playlist Data Science Concepts
Statistical Rethinking 2022 Lecture 17 - Measurement Error
Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Intro: Music: https://www.youtube.com/watch?v=xXHH6bBAjDQ Palms: https://www.youtube.com/watch?v=We2KHqtqDos Pancake: https://www.youtube.com/watch?v=44ORuxym4fo Pause: https://www.youtube.com/watch?v=p
From playlist Statistical Rethinking 2022
Peter BÜHLMANN - Robust, generalizable and causal-oriented machine learning
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Chiara Sabatti: Knockoff genotypes: value in counterfeit
CIRM VIRTUAL EVENT Recorded during the meeting "Mathematical Methods of Modern Statistics 2" the June 05, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Virtual Conference
Prob & Stats - Markov Chains: Method 2 (35 of 38) Finding the Stable State & Transition Matrices
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the standard form of the absorbing Markov chain. Next video in the Markov Chains series: http://youtu.be/MrmMyK5CuWs
From playlist iLecturesOnline: Probability & Stats 3: Markov Chains & Stochastic Processes