Kick-off Meeting, July 28, 2008

ONR MURI: NexGeNetSci

Next Generation Network Science: An Overview

Michael Kearns and Ali JadbabaieUniversity of Pennsylvania

ONR MURI: NexGeNetSci

Team Members

Michael Kearns (PI)Ali JadbabaieShawndra Hill

John Doyle Babak Hassibi

Dave AldersonBrian Stickler Jean Carlson

Fan Chung Graham

Naval Postgraduate School

University of Pennsylvania

UC Santa Barbara

CaltechUC San Diego

ONR MURI: NexGeNetSci

Good news:Spectacular progress

Bad news:• Persistent errors and confusion• Potentially insurmountable obstacles?

ONR MURI: NexGeNetSci

Challenges in the NS report:1. Dynamics, spatial location, and information

propagation in networks. 2. Modeling and analysis of very large networks. 3. Design and synthesis of networks. 4. Increasing the level of rigor and mathematical

structure.5. Abstracting common concepts across fields. 6. Better experiments and measurements of

network structure.7. Robustness and security of networks.

ONR MURI: NexGeNetSci

GoalsAbstraction (common concepts across fields)Rigor (& math structure)Issues• Dynamics (location, propagation)• Robustness (& security)

Levels of understanding0. Verbal1. Data & statistics (Experiments & measurements)2. Modeling & simulation3. Analysis4. Design & synthesis

Challenges

ONR MURI: NexGeNetSci

Goals• Abstraction• RigorIssues• Dynamics• Robustness

Levels0. Verbal 1. Data & stats2. Modeling & sim3. Analysis4. Design & synth

Good news:Spectacular progress

Theory and the Internet

Topics:• Traffic• Topology• Control and

dynamics (C&D)• Layering/distributed• Architecture

ONR MURI: NexGeNetSci

Huge and recent progress

Traffic Topology C&D LayeringArchitect

ure

Verbal

Data/stat

Mod/sim

Analysis

Synthesis

ONR MURI: NexGeNetSci

Addressing challenges

Modeling

Analysis

Design and Synthesis

Experiments

project thrustsvs. Challenges

: Novel Algorithm

sD

ynamics of N

etworks

Dynam

ics, Gam

es, and

New

Models of N

etworks

Netw

ork Architecture

Netw

ork

Information theory

Behavioral

Netw

ork Science

ONR MURI: NexGeNetSci

Network of Investigators

Jadbabaie Hill

Alderson

Kearns

Chung-Graham

Steckler

Watts

Doyle

Carlson

Hassibi

Jadbabaie

ONR MURI: NexGeNetSci

Thrust 1: Novel Algorithms

• Local, Distributed graph Algorithms (Chung-Graham, Jadbabaie)– Graph algorithms for partitioning

• Understanding role of Randomness , and Random graph models (Chung-Graham, Doyle, Carlson)

– Beyond degree distributions

• Matching and re-identification, data mining (Hill)– Efficient scoring and identity matching

ONR MURI: NexGeNetSci

Thrust 2: Dynamics on Networks and Network Models

• Analysis and design of interconnected dynamical systems over networks, distributed optimization (Jadbabaie, Doyle, Hassibi)– Global behaviors translated to local decisions– Interplay of interconnection and dynamics

• Network formation games (Alderson, Kearns)

• New Models of Networks (Jadbabaie)– From Graphs to Simplicial Complexes

ONR MURI: NexGeNetSci

Thrust 3:Architecture

• Comparative Physiology of Network Architecture (Alderson, Doyle, Carlson)

– From Internet to biology– Robustness, fragility and evolvability of complex networks

• Optimization , Layering, and games (Jadbabaie, Doyle, Alderson, Kearns)

– Layering as a tool for optimization decomposition

ONR MURI: NexGeNetSci

Thrust 4:Network Information theory

• Entropic Vectors: New tool for network information theory (Hassibi)– Entropic vectors and convex optimization

• Fundamental limits in network information theory (Doyle, Hassibi)– Connecting fundamental limits due to information,

computation, and dynamics

ONR MURI: NexGeNetSci

Thrust 5: Behavioral Network Science

• Behavioral and Mathematical models for collective problem-solving (Kearns)

• Collective problem solving vs. distributed optimization (Kearns, Jadbabaie)

ONR MURI: NexGeNetSci

Thrust 6:Testbeds and Demonstrations

• Hastily Formed Networks (Steckler, Alderson)– Analysis of Field exercise data

• Measurement and statistics of field operations