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The Same Brain-Control Cost Reached a Different Space
Topology-selected driver regions broadened controllability even when average control energy barely changed.
Summary
Topology-selected driver regions broadened controllability even when average control energy barely changed.
A preprint compared standard degree-based driver nodes with nodes chosen by persistent topological cycles across 70 human structural connectomes and three parcellation scales. The two strategies differed by only about 0.2 percent in scalar control energy, yet topology-informed sets distributed controllability across more state-space dimensions and produced better-conditioned matrices. Because the node sets occupied different cortical territory, they also favored different target states. The work is a mathematical analysis of structural connectomes, not a stimulation experiment or clinical control protocol.
Why it matters
Topology-selected driver regions broadened controllability even when average control energy barely changed.
Limits and context
- The two strategies differed by only about 0.2 percent in scalar control energy, yet topology-informed sets distributed controllability across more state-space dimensions and produced better-conditioned matrices.
- The work is a mathematical analysis of structural connectomes, not a stimulation experiment or clinical control protocol.
Key claims
Topology-selected driver regions broadened controllability even when average control energy barely changed.
Qualification: The two strategies differed by only about 0.2 percent in scalar control energy, yet topology-informed sets distributed controllability across more state-space dimensions and produced better-conditioned matrices.
Evidence: source-2026-08-05-013
Sources
- arXiv preprint 2608.03181arXiv · primary research
Corrections
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