Lévy Flights of the Collective Imagination
This work addresses the problem of understanding communication dynamics in groups for researchers in social science and computational linguistics, though it appears incremental as it builds on existing random-walk models with new applications.
The authors tackled the problem of modeling how people communicate in groups by developing a structured random-walk model based on correlated Lévy flights to quantify the balance between focused discussion and semantic leaps. They applied it to philosophical texts, parliamentary debates, and Reddit comments, finding that parameters converge to limit regions in some cases, demonstrating emergent large-scale structure robust to translation, while Reddit shows varied patterns based on community type.
We present a structured random-walk model that captures key aspects of how people communicate in groups. Our model takes the form of a correlated Lévy flight that quantifies the balance between focused discussion of an idea and long-distance leaps in semantic space. We apply our model to three cases of increasing structural complexity: philosophical texts by Aristotle, Hume, and Kant; four days of parliamentary debate during the French Revolution; and branching comment trees on the discussion website Reddit. In the philosophical and parliamentary cases, the model parameters that describe this balance converge under coarse-graining to limit regions that demonstrate the emergence of large-scale structure, a result which is robust to translation between languages. Meanwhile, we find that the political forum we consider on Reddit exhibits a debate-like pattern, while communities dedicated to the discussion of science and news show much less temporal order, and may make use of the emergent, tree-like topology of comment replies to structure their epistemic explorations. Our model allows us to quantify the ways in which social technologies such as parliamentary procedures and online commenting systems shape the joint exploration of ideas.