Resolution:
standard / ## Figure 2.
Effective information matrix and activity states for two complexes having the same
value of Φ. a. Causal interactions diagram and analysis of complexes. Shown are two systems, one with a "divergent" architecture (left) and one with a
"chain" architecture (right). The analysis of complexes shows that both contain a
complex of four elements having a Φ value of 10. b. Effective information matrix. Shown is the effective information matrix for the two complexes above. For each
complex, all bipartitions are indicated by listing one part (subset A) on the upper
row and the complementary part (subset B) on the lower row. In between are the values
of effective information from A to B and from B to A for each bipartition, color-coded
as black (zero), red (intermediate value) and yellow (high value). Note that the effective
information matrix is different for the two complexes, even though Φ is the same.
The effective information matrix defines the set of informational relationships, or
"qualia space" for each complex. Note that the effective information matrix refers
exclusively to the informational relationships within the main complex (relationships
with elements outside the main complex, represented here by empty circles, do not
contribute to qualia space). c. State diagram. Shown are five representative states for the two complexes. Each is represented
by the activity state of the four elements of each complex arranged in a column (blue:
active elements; black: inactive ones). The five states can be thought of, for instance,
as evolving in time due the intrinsic dynamics of the system or to inputs from the
environment. Although the states are identical for the two complexes, their meaning
is different because of the difference in the effective information matrix. The last
four columns represent four special states, those corresponding to the activation
of one element at a time. Such states, if achievable, would correspond most closely
to the specific "quale" contributed by that particular element in that particular
complex.
Tononi |