Thanks for the thoughtful update — here’s a more technical perspective on the directions you’re exploring.
The delta‑map concept becomes especially meaningful when treating extracted task‑specific graphs not as simple subgraphs, but as functional derivatives of the parent connectome. In this framing, the delta‑map is not just a structural diff, but a quantification of what computational context is lost during extraction: preserved motifs, collapsed boundaries, removed cycles, and shifts in local/global connectivity. This allows the delta‑map to encode both topological deltas (ΔV, ΔE, ΔC, cycle distribution changes) and reductions in computational potential.
Your emphasis on keeping provenance, anatomical wiring, modeled dynamics, and extraction assumptions strictly separated is crucial. Without that separation, extracted graphs risk becoming epistemically ambiguous objects. With it, each graph becomes a well‑scoped artifact whose semantics are explicitly tied to its origin and transformation pipeline. This is what enables meaningful comparison across graphs with different granularities or extraction protocols.
Comparing compact graphs to their parent connectomes also opens the door to richer metrics beyond topology alone — for example, changes in directed flow structure, alterations in functional cycle availability, or shifts in dynamical resilience. These metrics help quantify how much of the original computational landscape survives the extraction process.
Expanding beyond the current escape graph toward additional CNS‑derived experimental graphs is a strong move. It enables the construction of a taxonomy of functional graph abstractions, all anchored to a unified provenance schema. With that foundation, it becomes possible not only to compare extracted graphs to their parent connectomes, but also to compare extracted graphs to each other, evaluating how functional structure transforms across tasks, behaviors, or experimental assumptions.
Happy to continue providing feedback as the schema evolves, especially around formalizing the delta‑map and defining metrics that capture both structural and dynamical context loss.