Lecture 5-1 Positive Influence Dominating Set Ding-Zhu Du Univ of Texas at Dallas.

Slides:



Advertisements
Similar presentations
Spread of Influence through a Social Network Adapted from :
Advertisements

Maximizing the Spread of Influence through a Social Network
SOCIAL MEDIA MARKETING FOR BUSINESS. The Internet has fundamentally changed the way people find, discover, share, shop, & connect. FACT.
Social Media Intro to Business & Marketing. The most three most trusted forms of advertising are: Recommendations from people I know - 90% Consumer opinions.
Social Media Friend or foe?
Marketing Communications Services Hayward, WI.
THE ROLE AND IMPORTANCE OF SOCIAL MEDIA IN PROMOTION OF MUSIC FESTIVALS Sonja Oklobdžija Visoka poslovna škola strukovnih studija, Kralja Petra I br. 67,
Lecture 3 Power Law Structure Ding-Zhu Du Univ of Texas at Dallas.
Influence Maximization
THREE ESSENTIAL FOCUSES IN MOBILE MARKETING By Eric Koeck Center website:
Maximizing the Value of Your Investments With Advanced Campaign Management And Campaign Analysis Ad Campaigns.
Models of Influence in Online Social Networks
What’s Happening? The Go Jo! What type of appeal (s) is used in this.
Strategy and the Internet INBS 640 by Margaret Walsh.
Approximation Algorithms in Computational Social Networks Weili Wu Ding-Zhu Du University of Texas at Dallas.
Social Media in the Developing World Jenai Booker, Rachel Crown, Nichole Hoeflich, Thomas Romanoff.
Influence Maximization in Dynamic Social Networks Honglei Zhuang, Yihan Sun, Jie Tang, Jialin Zhang, Xiaoming Sun.
Thang N. Dinh, Dung T. Nguyen, My T. Thai Dept. of Computer & Information Science & Engineering University of Florida, Gainesville, FL Hypertext-2012,
European Workshop “Using Open Educational Resources for enhancing e-Mentoring” Capacity of Social Networks for promoting ideas Ton Brouwers Partner BECAUSE.
Jing (Selena) He and Hisham M. Haddad Department of Computer Science, Kennesaw State University Shouling Ji, Xiaojing Liao, and Raheem Beyah School of.
Local Internet Marketing Deciphering the vast options of Online Marketing Opportunities for Local Businesses Presented by: [Name Here]
Chapter 2 Greedy Strategy I. Independent System Ding-Zhu Du.
Competitive Queue Policies for Differentiated Services Seminar in Packet Networks1 Competitive Queue Policies for Differentiated Services William.
Maximizing the Spread of Influence through a Social Network Authors: David Kempe, Jon Kleinberg, É va Tardos KDD 2003.
Lecture 1-5 Power Law Structure Weili Wu Ding-Zhu Du Univ of Texas at Dallas.
Problem Setting :Influence Maximization A new product is available in the market. Whom to give free samples to maximize the purchase of the product ? 1.
Using Social Media for Fundraising and Communication with Supporters Lindsay Boyle – Communications & Research Coordinator Claire Chapman – Information.
For Busy Business Owners!. Facebook is a goldmine Brand your business Increase awareness about your product/service Acquire new customers Use Facebook.
Lecture 3-1 Independent Cascade Weili Wu Ding-Zhu Du University of Texas at Dallas.
On Bharathi-Kempe-Salek Conjecture about Influence Maximization Ding-Zhu Du University of Texas at Dallas.
 Steve Craig  A Sacramento native and graduate of UC Davis  Over ten years experience working with web technologies  Associate Product Manager for.
From SEO to “SEE” Carmen Cano April, 2012 …does it make a sound?" "If a tree falls in a forest and no one is around to hear it…
Lecture 2-1 Submodular Maximization Weili Wu Ding-Zhu Du University of Texas at Dallas.
Chapter 2 Tools and Platforms for Social Commerce.
Lecture 5-2 Target-Influence and Power Law Graphs Ding-Zhu Du Univ of Texas at Dallas.
Lecture 2-3 Deterministic Difussion Weili Wu Ding-Zhu Du University of Texas at Dallas.
Social Media Planning & Measurement: Proving (or not) the Value of Social Media Beth Harte Community Manager,
Computational Social Networks --computational data networks Weili Wu Ding-Zhu Du University of Texas at Dallas.
Digital Marketing: SEM and Social Media Will Taliaferro, Partner GMMB.
Social Media—how really important is it? Creating a step-by-step plan for your business success. Facebook, YouTube, Twitter and LinkedIn Presented by All.
How Social Media Changed The World Of Event Planning By Olivia Burke.
Personal Branding. Objectives How do you see yourself? How do others see you? What is your personal brand?
Chapter 1 Introduction to Social Commerce. Learning Objectives 1.Define social computing and the Social Web. 2.Describe the Social Web revolution. 3.Describe.
1/54 Rumor Source Detection: A Group Testing Approach Ding-Zhu Du Department of Computer Science University of Texas at Dallas.
Introduction Before the internet became an integral part of our lives, advertising a business was done mainly on outdoor billboards, posters, tv ads and.
Social media and its application in hospitality Silvena Dencheva, Ph.D. Assist.prof. in VUM-Varna.
Get Affordable Online Marketing Services To Grow Your Online Business –Evirtual Services
Search Engine Marketing (Miami) – Blogs, SEO and Social Media
Seed Selection.
Independent Cascade Model and Linear Threshold Model
Rumor Source Detection: A Group Testing Approach
Influence Maximization
Power Law Structure Weili Wu Ding-Zhu Du Univ of Texas at Dallas
What is Search Engine optimization
Job Search: Networking
Positive Influence Dominating Set
Independent Cascade Model and Linear Threshold Model
Influence Maximization
Lecture 9 Greedy Strategy
Influence-Based Community Detection
Coverage Approximation Algorithms
Influence Maximization
Independent Cascade Model and Linear Threshold Model
There are 1,000 million websites on the internet If you want to stand out, you need an SEO expert now!SEO Positioning web is a project stage based in Chile.
Survey on Coverage Problems in Wireless Sensor Networks - 2
Lecture 28 Approximation of Set Cover
at University of Texas at Dallas
Multiple Products.
Noncooperative Rumor Blocking
Presentation transcript:

Lecture 5-1 Positive Influence Dominating Set Ding-Zhu Du Univ of Texas at Dallas

Social Networks >1000 million users The 3 rd largest “Country” in the world More visitors than Google More than 6 billion images 2009, 2 billion tweets per quarter 2010, 4 billion tweets per quarter 2011, tweets per quarter >780 million users Pinterest, with a traffic higher than Twitter and Google 25 billion 2013, users, 40 % yearly increase 400 million 2

A Trillion Dollar Opportunity Online Social networks have become a bridge to connect our daily physical life and the virtual web space On2Off Commerce [1] [1] Online to Offline is trillion dollar business 3

“Love Obama” I love Obama Obama is great! Obama is fantastic I hate Obama, the worst president ever He cannot be the next president! No Obama in 2012! Positive Negative 4

What is Social Influence? Social influence occurs when one's opinions, emotions, or behaviors are affected by others, intentionally or unintentionally. [1] – Informational social influence: to accept information from another; – Normative social influence: to conform to the positive expectations of others. [1] 5

Three Degree of Influence Three degree of Influence [2] [1] S. Milgram. The Small World Problem. Psychology Today, 1967, Vol. 2, 60–67 [2] J.H. Fowler and N.A. Christakis. The Dynamic Spread of Happiness in a Large Social Network: Longitudinal Analysis Over 20 Years in the Framingham Heart Study. British Medical Journal 2008; 337: a2338 [3] R. Dunbar. Neocortex size as a constraint on group size in primates. Human Evolution, 1992, 20: 469–493. Six degree of separation [1] You are able to influence up to over 1,000,000 persons in the world, according to the Dunbar’s number [3]. 6

Viral Marketing Viral marketing or word of mouth strategy – exploits the social network values of customers – the most effective marketing strategy To study the effects of “word of mouth” in the promotion of new products, Domingos and Richardson posed an algorithmic problem in the year 2001.

Illustrative Example :Influence Maximization A new product is available in the market. Whom to give free samples to maximize the purchase of the product ? 8

Problem Setting Given – a market (e.g. a set of individuals) – estimates for influence between individuals Goal – Minimum budget for initial advertising (e.g. give away free samples of product) in order to occupy the market. Question – Which set of individuals should we target at? Application besides product marketing – spread an innovation, ideas, news – detect stories in blogs – analyze Twitter 9

Product Advertisement 10

More Companies: Competition 11

How to Measure Influence? 12

A Winning Strategy: Positive Influence 13

Positive Influence is a Special Threshold Model 14 This is not submodular! A B x

Positive-Influence Max 15 A B x

Min Positive-influence Dominating Set Given a network, Find a minimum positive-influence dominating set. 16

Greedy Algorithm

Section

A General Problem

Greedy Algorithm

A General Theorem Remark:

Xu Zhu, Jieun Yu, Wonjun Lee, Donghyun Kim, Shan Shan, Ding-Zhu Du: New dominating sets in social networks. J. Global Optimization 48(4): (2010) Xu ZhuJieun YuWonjun LeeDonghyun Kim Shan J. Global Optimization Min Positive Dominating Set is APX-had. There exist a polynomial-time (1+ln 1.5Δ)- approximation.

Potential Function 23 Lemma 1 Proof 1 2 3

Proof of 24 1 A B x v

Proof of 25 2

26

Proof of 27 3

Lemma 2(a) 28 Proof

Lemma 2(b) 29 Proof

Greedy Algorithm

A General Theorem Remark:

Theorem

Thang N. Dinh, Yilin Shen, Dung T. Nguyen, My T. Thai: On the approximability of positive influence dominating set in social networks. J. Comb. Optim. 27(3): (2014) Thang N. DinhYilin ShenDung T. NguyenJ. Comb. Optim Theorem

Open Problem 1 34

Open Problem 2 35

Open Problem 3 36

THANK YOU!