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Didier SornetteChair of Entrepreneurial RisksETH Zurich(Swiss Federal Institute of Technology, Zurich)Department of Management, Technology and Economicshttp://www.er.ethz.ch/
Information spirals in social network dynamics for large Internet databases
YouTube, financial markets, Cyber-risks, Social unrests, Conflicts
Collaborators:Y. Ageon, J. Andersen, R. Crane, F. Deschatres, T. Gilbert, A. Helmstetter, A. Johansen, N. Johnson, Y. Malevergne, T. Maillart, J.F. Muzy, S. Pillai, B. Roehner
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Collective human activityin the time domain
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Collective human activity
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Collective human activity
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Exogenous event
Endogenous event
Bursts of activity
Response function reveals information
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The big questions
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Timing of human activity
(2000)(2006)
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2007.10.05 Riley Crane – DMTEC – Entrepreneurial Risks – [email protected]
TM
Riley Crane, Didier SornetteETH Zurich, D-MTECChair of Entrepreneurial Risks
A Shocking Look At...
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The Front Page
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Most Viewed Page
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Most Recent Page
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Lots of interesting dynamics
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Study of the time dynamics
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Endogenous
Exogenous
YouTube viewer dynamics
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Non-Parametric Superposition
Endogenous
Exogenous
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Typical Relaxation Following Peak
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How to explain these dynamics?
pdf of waiting times between cause and action and rate of activity
Epidemic cascades in social networks
P (τ) ∼ 1τ1+θ
with θ ≥ 0• Priori-queuing (Abate & Whitt, 1997)
• Time-varying activity rate with feedback (Vasquez, 2007)
• Random walk crossing condition
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pdf of waiting times between cause and action and rate of activity
P (τ) ∼ 1τ1+θ
with θ ≥ 0
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Epidemic processes by word-of-mouth
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D-MTEC Chair of Entrepreneurial Risks
Hawkes ETAS model and numerical simulationsThe impact of cascades of generations
“RENORMALIZED” IMPACT OF ONE SINGLE PIECE OF INFORMATION in a numerical simulation of the ETAS model
For φ~1/t1+θ
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2008.02.29
Predictions of the model
EXO
ENDO
sub-critical
sub-critical
critical
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2008.02.29
Sort data, look at exponents
Peak-fraction = (views on peak day)/(total views)Peak− fraction =views on peak day
total views
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2008.02.29
Distribution of relaxation exponents
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2008.02.29
What about precursory information?
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2008.02.29
Qualitative classifications
Viral
Quality
Junk
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D-MTEC Chair of Entrepreneurial Risks
Prof. Dr. Didier Sornette www.er.ethz.ch
• Book, CD music sales…
• Internet searches
• Open source software projects
• Ethical Hacking security• NATO (National Association of Theatre Owners)
• Recommendation Blogs
Many other applications
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• Amazon.com posts a “live” ranking of all its products
• Book ranks in the top 10,000 are updated every hour according to a secret weighting of recent sales and entire history
AMAZON BOOK SALES
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The Original “Crisis”
• On Friday January 17, 2003, Sornette’s recent book jumped to rank # 5 on Amazon.com’s sales ranking (with Harry Potter as #1!!!)
• Two days before: release of an interview on MSNBC’s MoneyCentral website
PrincetonUniversityPressJan. 2003
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“Heaven and Earth (Three Sisters Island Trilogy)” by N. Roberts
“Strong Women Stay Young” by Dr. M. Nelson
June 4, 2002: New York Times article crediting the “groundbreaking research” of Dr. Nelson
June 5, 2002
Endogenous
Exogenous
Book sales dynamics
D. Sornette et al., Phys. Rev. Letts. 93 (22), 228701 (2004)
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endogenousExogenousrelaxation
Exogenous precursor
θ=0.3±0.1
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Empirical Implications• If buys were mainly initiated via news and
advertisements, the model predicts an exponent of 1+θ
• So the power-law exponents being smaller than 1 indicates:– Sales dynamics is dominated by cascades
involving high-order generations– This implies that n ~ 1, i.e. the social network
is close to critical• Identification of critical niches for optimal
marketing strategy
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Financial volatility foreshocks and aftershocks
ENDO
EXO
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Economics of Cyber Crime
• vulnerabilities / patches dynamics– core problem leading to economic
arbitrage...– ...deeply in favor of crime !
• there is no strong business incentive to make secure software (people are happy already when software
works properly!
• complexity of IT systems prevent fast
with Stefan Frei, TIK ETH Zürich
with Google Switzerland33
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Cyber-risks: worms never disappear...
Blaster (worm) infection dynamics
Power-law fit to the decay of the rate of active infections after removing seasonality,following the outbreak of the blaster virus on the Swiss SWITCH network, as a function of timefrom 2003 to 2008.
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Application to conflict early warningwith P. Meier (Tufts Univ., Boston) and R. Woodard (ETH Zurich)
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Predicting the rise and fall of social and economic interactions by monitoring and modeling internet
activities and commercial sales
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D-MTEC Chair of Entrepreneurial Risks
Prof. Dr. Didier Sornette www.er.ethz.ch
I- ACTION METRICS: what is the efficiency of ads compaigns? How to design them better? How to manage in real time (or near-real time) and steer complex social systems, commercial sales, reputation branding, etc?
II- PREDICTING SUCCESS: forecast which product will be successful, where and how to allocate resources.
III-DYNAMICAL ENDO-EXO SEARCH: better search engine using the time dynamics of the endo-exo approach.
Research and Application questions