Exponential Random Graph Models

Jul 09, 2012

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Sunbelt 2009. statnet Development Teamwww.statnet.org. ERGM introduction 2 . Fair use. Feel free to use these slides for purposes such as teaching (including multiple copies for classroom use), scholarship, research, criticism, comment, or reporting.If you present these slides in public, p

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Exponential Random Graph Models

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1. Sunbelt 2009 statnet Development Team www.statnet.org ERGM introduction 1 Exponential Random Graph Models

Exploring Exponential Models

701 views • 58 slides

Exponential Random Graph Models (ERGM)

Exponential Random Graph Models (ERGM). Michael Beckman PAD777 April 9, 2010. Introduction. “The purpose of ERGM, in a nutshell, is to describe parsimoniously the local selection forces that shape the global structure of a network.”

1.16k views • 43 slides

Exponential random graph ( p *) models for social networks

Exponential random graph ( p *) models for social networks Workshop Harvard University February 2002 Philippa Pattison Garry Robins Department of Psychology University of Melbourne Australia Plan for the workshop Model construction: dependence graphs

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Exponential models

Exponential models. Standard form(s) of an exponential. y = a b x a is the initial value (y-intercept) b is the growth factor y = a e r x a is the initial value (y-intercept) r is the “per-capita rate” also called “exponential growth rate” Conversion b = e r , r= ln (b).

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Random-Graph Theory

Random-Graph Theory. The Erdos-Renyi model.

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Exponential Models

Exponential Models. Thursday, April 24 th. Derivative Rules Warm Up. To make sure that no one is wobbly on derivative rules, we have a page of practice. Half-life. 6mg of a radioactive isotope of gold, Au-198, decays into 4.6mg after 1day. What is the decay constant for Au-198?

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Graph Models

Graph Models. Notes 23 – Section 5.4. Essential Learnings. Students will understand and be able to use graph modeling to represent a real-life situation. Modeling.

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Exponential & Logarithmic Models

Exponential & Logarithmic Models. 3.5. Common Models. The five most common models involving exponential and logarithmic functions are: Exponential Growth y = ae bx b>0 Exponential Decay y = ae -bx b>0 Gaussian Model Logistic Growth Logarithmic y = a + b∙ln x

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Applications of Exponential Models

Applications of Exponential Models. Sections 7.1 & 7.2 continued. What am I going to learn?. Relationship between percent increase and exponential growth Relationship between percent decrease and exponential decay Translating exponential functions Exponential decay and half-life

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4.1 Graph Exponential GrowthFunctions

4.1 Graph Exponential GrowthFunctions. p. 228 What is an exponential function? What is exponential growth function? What is an asymptote? What information does the equation give you? How do you graph an exponential function?

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Random Graph Models of Social Networks

Random Graph Models of Social Networks. Paper Authors: M.E. Newman, D.J. Watts, S.H. Strogatz Presentation presented by Jessie Riposo. This Paper Focuses on New Techniques for Generating Social networks.

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Exploring Exponential Models

1. 2 x for x = 3. 2. 4 x +1 for x = 1. 3. 2 3 x +4 for x = –1. 4. 3 x 3 x –2 for x = 2. 5. for x = 0 . 6. 2 x for x = –2. Exploring Exponential Models. ALGEBRA 2 LESSON 8-1. (For help, go to Lesson 1-2.). Evaluate each expression for the given value of x. 1 2. x.

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Exponential random graphs and dynamic graph algorithms

Exponential random graphs and dynamic graph algorithms. David Eppstein Comp. Sci. Dept., UC Irvine. What are we trying to do?. Probabilistic reasoning on social networks Appropriately model the different likelihoods of finding different types of network. Exponential Random Graphs.

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Fitting Exponential Models

Fitting Exponential Models. Integrated Math 4 Mrs. Tyrpak. Recall Fitting Linear Models. Least squares regression is used to fit data to a line. Let us review this process. Red distance: Residual y=1.6x. Least Squares Regression. Sum of squared residuals = 5.2.

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UNIFORM AND EXPONENTIAL RANDOM VARIABLES

UNIFORM AND EXPONENTIAL RANDOM VARIABLES. Sections 4.5-4.7. Uniform Random Variables: pdf.

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Logarithms and Exponential Models

Logarithms and Exponential Models. Lesson 4.2. Using Logarithms. Recall our lack of ability to solve exponential equations algebraically We cannot manipulate both sides of the equation in the normal fashion add to or subtract from both sides multiply or divide both sides.

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Graph Exponential Growth Functions

**You need graph paper**. Graph Exponential Growth Functions. 4.4 ( M2 ). 4.4-4.5 Quiz: Friday Computer Lab (C28): Monday. Vocabulary. An exponential function has the form y = ab x , where a ≠ 0 and the base b is a positive number other than 1.

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Graph Exponential Growth Functions

4.4. Graph Exponential Growth Functions. Vocabulary. An exponential function has the form y = ab x , where a ≠ 0 and the base b is a positive number other than 1. If a > 0 and b > 1, the function y = ab x is an exponential growth function

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Designing Random Graph Models using Variational Autoencoders…

Bidisha Samanta , Abir De, Gourhari Jana, Pratim Kumar Chattaraj , Niloy Ganguly, Manuel Gomez-Rodriguez IIT Kharagpur , MPI- SWS AAAI’19. This file has been cleaned of potential threats.

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Network (graph) Models

Network (graph) Models. Lecture 6. What is a network (graph) model?. Network models. We will cover the following network models: Erdos–Renyi random graphs Generalized random graphs (with the same degree distribution as the data networks) Small-world networks Scale-free networks

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1.1. Graph Models

1.1. Graph Models. Two basic notions: Graphs Directed Graphs. a. 1. 2. c. b. d. e. 3. 4. Graphs. (Simple) graph G=(V,E) V = {1,2,3,4} – vertices E = {a,b,c,d,e} – edges Vertices 1 and 2 are adjacent: 1 ~ 2; a = (1,2). Directed Graphs. Directed edges, such as (a ! ,b). a. b. c.

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Evaluate exponential functions. Identify and graph exponential functions.

Objectives. Evaluate exponential functions. Identify and graph exponential functions. Vocabulary. Exponential function. Notes. In 1-2, Tell whether each set of ordered pairs represents a line or an exponential function. 1. {(0, 0), (1, –8), (2, –16), (3, –24)}.

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Exponential Random Graph Models

Exponential Random Graph Models

Presentation Transcript

Exploring Exponential Models

Exponential Random Graph Models (ERGM)

Exponential random graph ( p *) models for social networks

Exponential models

Random-Graph Theory

Exponential Models

Graph Models

Exponential &amp; Logarithmic Models

Applications of Exponential Models

4.1 Graph Exponential GrowthFunctions

Random Graph Models of Social Networks

Exploring Exponential Models

Exponential random graphs and dynamic graph algorithms

Fitting Exponential Models

UNIFORM AND EXPONENTIAL RANDOM VARIABLES

Logarithms and Exponential Models

Graph Exponential Growth Functions

Graph Exponential Growth Functions

Designing Random Graph Models using Variational Autoencoders…

Network (graph) Models

1.1. Graph Models

Evaluate exponential functions. Identify and graph exponential functions.

Exponential & Logarithmic Models