Bayesian networks | Graph operations | Graphical models
In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm, used in belief propagation on graphical models. The moralized counterpart of a directed acyclic graph is formed by adding edges between all pairs of non-adjacent nodes that have a common child, and then making all edges in the graph undirected. Equivalently, a moral graph of a directed acyclic graph G is an undirected graph in which each node of the original G is now connected to its Markov blanket. The name stems from the fact that, in a moral graph, two nodes that have a common child are required to be married by sharing an edge. Moralization may also be applied to mixed graphs, called in this context "chain graphs". In a chain graph, a connected component of the undirected subgraph is called a chain. Moralization adds an undirected edge between any two vertices that both have outgoing edges to the same chain, and then forgets the orientation of the directed edges of the graph. (Wikipedia).
What is a Path Graph? | Graph Theory
What is a path graph? We have previously discussed paths as being ways of moving through graphs without repeating vertices or edges, but today we can also talk about paths as being graphs themselves, and that is the topic of today's math lesson! A path graph is a graph whose vertices can
From playlist Graph Theory
What is a Graph? | Graph Theory
What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each
From playlist Graph Theory
Graph Neural Networks, Session 1: Introduction to Graphs
Examples of Graph representation of data Motivation for doing machine learning on Graphs
From playlist Graph Neural Networks (Hands-on)
Math for Liberal Studies - Lecture 1.1.2 Definitions and Examples
This is the second video lecture for Math for Liberal Studies Section 1.2: Paths and Models. In this video, I define some terminology relating to graphs relating to Euler circuits and the "parking meter problem." We also consider some other real-world situations that relate to the graph m
From playlist Math for Liberal Studies Lectures
Using Graphs to Display Data Honestly (4-1)
There are two ways of preparing our data to present them to the world. The first is using numbers and the second is using pictures. The pictures – called graphs – include such things as bar graphs, histograms, stem and leaf diagrams, and the box plot. This lecture is an introduction to sta
From playlist WK4 Statistical Graphing - Online Statistics for the Flipped Classroom
What is a bar graph? Different types of bar graphs including stacked and segmented.
From playlist Charts and Graps
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
this a brief high-level overview of graph databases using only an ipad. in this video we discuss what a graph database is and how it differs from relational databases. this also looks at high level use cases.
From playlist graph databases
Scaling of Epidemiology Models with Multi-site Compartments
Anton Antonov, an applied mathematician, discusses how to extend a single-site compartmental models to multi-site cases which resemble big geographical regions such as a country. Notebook materials can be found at: https://wolfr.am/L1JlkKq7 You can interact directly with Anton thr
From playlist Coronavirus Datasets and Analysis in the Wolfram Language
25. Suicide, Part II: Deciding under uncertainty
Death (PHIL 176) The discussion of suicide continues. A few more cases are introduced to consider circumstances under which it might be rational to end one's life, and more graphs are drawn that show relevant variations in the quality of one's life. A question is then posed about how one
From playlist Death with Shelly Kagan
Title: Differential Fields—A Model Theorist's View May 2016 Kolchin Seminar Workshop
From playlist May 2016 Kolchin Seminar Workshop
Tree Graphs - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Thresholds Versus Fractional Expectation-Thresholds - Keith Frankston
Computer Science/Discrete Mathematics Seminar I Topic: Thresholds Versus Fractional Expectation-Thresholds Speaker: Keith Frankston Affiliation: Rutgers University Date: December 16, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
On symplectomorphism groups of some Milnor fibres - Ailsa Keating
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker: Ailsa Keating Title: On symplectomorphism groups of some Milnor fibres Affiliation: IAS Date: November 7, 2016 For more video, visit http://video.ias.edu
From playlist Workshop on Homological Mirror Symmetry: Methods and Structures
C. Gasbarri - Techniques d’algébrisation en géométrie analytique... (Part 3)
Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points communs entre les
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Getting older without getting old - with Andrew Steele
Ageing is not a biological inevitability. Scientists are studying every aspect of the body which could lead to treatments that could slow down, or even stop, the ageing process. In this talk by Andrew Steele, discover how understanding the scientific implications of ageing could lead to t
From playlist Ri Talks
Statistical Rethinking - Lecture 15
Lecture 15 - Ordered logit models (Monsters & Mixtures) - Statistical Rethinking: A Bayesian Course with R Examples
From playlist Statistical Rethinking Winter 2015
Math 023 Fall 2022 102422 Rational Functions part I
("Morally speaking....") Approximation of the behavior of polynomials near zeroes: what's really going on? (Crux: if A is basically A_0, and B is basically B_0, then their product is basically A_0 B_0.) Example. Rational functions: definition. Digression: definition of proper and impr
From playlist Course 1: Precalculus (Fall 2022)
Graphing the system of two linear inequalities with two horizontal line
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Maciej Dołęga: Bijections for maps on non-oriented surfaces
HYBRID EVENT Recorded during the meeting "Random Geometry" the January 17, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics
From playlist Probability and Statistics