16. moon
white
round
rotates
earth
sun
cluster 1: the moon is white and round
cluster 2: the moon rotates around the earth
cluster 3: the earth rotates around the sun
structural gap = novel ideas
networks of ideas, text networks
17. The most resilient system is the human brain
perception - activation of different groups of
neurons across the different frequency spectrums
Rabinovich, M. I., & Muezzinoglu, M. K. (2010).Bhowmik, D., & Shanahan, M. (2013).
21. inter~action?
Network theory can help us understand the
dynamics of any system, based on:
the network structure
the 鍖ow of in~formation in network
activation and propagation patterns
identi鍖cation of the critical points
22. Key Network Metrics:
Betweenness centrality: which nodes are most likely to appear
on the path between any 2 randomly chosen nodes.
= global connectors
28. your body as a network
which part interacts with which other part
which part interacts with the environment
what is the feeling / intention that it produces
what are the key nodes?
how do they affect the rest of the structure
what is resistance and what is adaptation in this context?
31. networks represent a process in time
certain network structures lead to oscillations
oscillations = non equilibrium stability
Creating conditions in the physical / social body
for a certain kind of dynamics
37. Entropy is not a measure of disorder.
The second law of thermodynamics says that
entropy increases over time.A system strives
towards an equilibrium, that is, equal distribution of
energy across all of its elements.
We associate it with disorder, but only because from
our subjective perspective of life total
equilibrium is a stasis, death.
39. Chaos is not disorder or randomness.
In chaos theory chaotic system is the one that is
sensitive to initial conditions, unpredictable in the
short-term, but and may exhibit orderly behavior
over time.
1/f (pink / fractal) noise is the symptom of a chaotic
system. distribution of connections in small-world
(and scale free) networks follow the same
power law as the 1/f noise.
40. Within a certain timespan / context: the higher is the value of the oscillation (e.g.
an amplitude of movement or scale degree of change), the less frequent it is.
The smaller the change, the more often it happens.
Kello, C.T.,Anderson, G. G., Holden, J. G., &Van Orden, G. C. (2008)
41. random network: most nodes have
an equal number of connections
scale-free network: most nodes (Y) have a
few connections, only some many
42. If life represents a certain order,
time represents entropy,
then chaos may be the product of this dialectic.
43. PROPAGATION OF INFLUENCE
Scale-free networks with shortcuts are better in propagating, dense networks are
better for cascades. (Kuperman 2001; Yan et al 2008)
44. EPIDEMIC MODELS
S: Susceptible, I: Infected, R: Removed/Recovered
(Ball 1997; Newman 2002; Newman et al 2006;Watts 2002)
S I R
S I S
S I R S
45. LOCAL CONTAGION
Information Cascades: herd-like behavior, in鍖uenced by the others,
when conversion threshold is exceeded (Watts 2002; Hui et al 2010; Young 2002)
most friends
adopted a
trend, so the
blue node does
the same 鍖nally
48. THE NETWORK STRUCTURE DEFINES
How many different states a system can hold
How those states will change from one to another
(propagation)
How will the system evolve over time
49. example from immunology
networks with low entropy, high order do not
propagate
networks with high entropy, random connections -
propagate very quickly but very short-lived
networks with scale-free (1/f) fractal (self-repetitive)
structure, can both propagate and maintain
50. 2. RANDOM SHORTCUTS
Scale-free networks with shortcuts are better in propagating,
dense networks are better for cascades. (Kuperman 2001; Yan et al 2008)
* not too many!
51. Therefore: the structure of our infrastructure will
determine how oscillatory our system will be.
The more independent oscillations are available, the
more distinct states this system will have
(metastability)
56. 1. GIANT COMPONENT
Most nodes must belong to the same component
for the global epidemics to occur (Watts 2002; Newman et al 2006)
no connections between the nodes
= cascades not possible
many connections between the nodes
= cascades can occur
57. 2. RANDOM SHORTCUTS
Scale-free networks with shortcuts are better in propagating,
dense networks are better for cascades. (Kuperman 2001; Yan et al 2008)
* not too many!
58. moon
white
round
rotates
earth
sun
cluster 1: the moon is white and round
cluster 2: the moon rotates around the earth
cluster 3: the earth rotates around the sun
structural gap = novel ideas
3. IDENTIFY STRUCTURAL GAPS
60. 4. FOCUS ON HUBS OR BECOME ONE
They will help spread the in鍖uence further
62. 5. START WITH A GROUP
Rapid spread of disease within tightly connected communities
can lead to an epidemic outbreak even if the links are loose
63. WHY?
Because once the contagion is spread within the group, it will
spread across super-network to the other groups (Ball 1997).
64. STRATEGIES OF RESISTANCE
Leave the number of susceptibles the same in each group, thus
preventing the virus from spreading within and throughout.
Better than random nodes, but still not
perfect - immunize random groups
Optimal - leave the same number
of susceptibles in each group
65. POLYSINGULARITY
Belonging to several distinct communities at once;
Introducing a degree of randomness in ones interactions;
Integrating periphery, expelling the hubs;
Maintaining an overview of the existing centers, while
belonging to one of them at every moment of time;
66. SUSCEPTIBILITY
Stay in one community or state; Explore it for a while;
Focus on the local interactions;
Hold on to the connections you have;
Belong to what you are a part of; Immerse; No outside;
72. Kello, C.T.,Anderson, G. G., Holden, J. G., &Van Orden, G. C. (2008).The Pervasiveness of 1/f Scaling in Speech Re鍖ects the Metastable Basis of Cognition. Cognitive Science, 32(7), 121731
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