Last week I traveled to Binghamton University in Vestal, NY to present at Complex Networks 2025, the 14th International Conference on Complex Networks and their Applications.

The Paper

Our paper, “Cognitive MRI of AI Conversations: Analyzing AI Interactions through Semantic Embedding Networks” (co-authored with John Matta), introduces a way to understand how humans explore knowledge through AI dialogue.

The Core Idea

Linear conversation logs hide rich cognitive structure. We developed what we call a cognitive MRI: a network analysis technique that transforms sequential conversation traces into topological maps. Each conversation becomes a node, connected to others by semantic similarity. The result reveals how knowledge domains interconnect in ways that a flat log doesn’t show.

Key Findings

From 449 ChatGPT conversations:

• High modularity (0.750): Clear knowledge communities emerge naturally
• Heterogeneous topology: Theoretical domains (ML/AI) show hub-and-spoke patterns; practical domains (programming) show tree-like hierarchies
• Three bridge types: Evolutionary bridges (topic drift), integrative bridges (deliberate synthesis), pure bridges (critical links with minimal connections)
• User-weighted embeddings: A 2:1 user:AI weighting ratio best captures conversational intent

The Method

We used nomic-embed-text to generate semantic embeddings, weighted user inputs more heavily than AI responses (since users drive conversation direction), and constructed similarity networks at various thresholds. The phase transition at similarity threshold ~0.875 proved remarkably consistent across all weight configurations.

The Conference

Complex Networks brings together researchers from physics, computer science, biology, sociology, anyone studying systems as networks. Binghamton was an excellent host.

Mark Newman was there. One of the pioneers of modern network science, author of the definitive textbook on complex networks. I didn’t get to speak with him at length (didn’t want to bug him), but it was good to see the field’s foundations represented alongside newer applications.

The talks ranged from brain connectivity analysis to social media dynamics to infrastructure resilience. The same mathematical tools, community detection, centrality measures, network motifs, keep illuminating very different phenomena.

Presentation Materials

• Paper: Cognitive MRI of AI Conversations (full text + PDF)
• Slides: Conference presentation (Beamer slides)
• Code: github.com/queelius/chatgpt-complex-net

Why This Matters

As AI assistants become integral to knowledge work, understanding how humans navigate AI-mediated exploration matters. The cognitive MRI gives you: