[Verse 1]
Load the macaque connectome data, CoCoMac in your hands
Map each region as a vertex, every synapse where it stands
Calculate the clustering coefficient, then the shortest path you trace
Small-world networks have that special clustering plus short pathways through space
Random graphs would scatter loosely, lattice grids would cluster tight
But cortical columns dance between them, short connections burning bright
[Chorus]
Small-world clustering with pathways lean
Communication through coherence, frequencies align and synchronize the scene
VSA addressing plus thalamic routing clean
Neuromodulator broadcast, distributed computational machine
Graph theory meets the neural streams
Building models of cortical dreams
[Verse 2]
Code two populations oscillating, gamma rhythms in the night
Population A at forty hertz, population B at fifty bright
When frequencies match precisely, information flows like gold
But mismatched rhythms block the signal, selective transfer takes control
Coherence gates the neural traffic, synchronized waves carry data
Phase-locked loops enable binding, temporal codes in brain strata
[Chorus]
Small-world clustering with pathways lean
Communication through coherence, frequencies align and synchronize the scene
VSA addressing plus thalamic routing clean
Neuromodulator broadcast, distributed computational machine
Graph theory meets the neural streams
Building models of cortical dreams
[Bridge]
Vector symbolic architecture handles content addressing schemes
High-dimensional random vectors, binding memories in semantic dreams
Thalamic nuclei route the signals, switching matrices of thought
Neuromodulators flood the system, global state changes are bought
Three mechanisms working together, each one serves a different role
Hybrid models capture cortex, computational control
[Verse 3]
VSA gives you storage power, distributed patterns encode
Clean up memories from corruption, associative recall mode
Thalamic routing directs attention, spotlight searching through the maze
Neuromodulator chemicals alter, motivation sets the blaze
Dopamine shifts exploration, acetylcholine tunes the gain
Serotonin shapes the learning, cortical columns break the chain
[Chorus]
Small-world clustering with pathways lean
Communication through coherence, frequencies align and synchronize the scene
VSA addressing plus thalamic routing clean
Neuromodulator broadcast, distributed computational machine
Graph theory meets the neural streams
Building models of cortical dreams
[Outro]
Exercises map the neural cosmos, exercises build the code
Three components working as one, down the computational road