[Verse 1]
In cortical columns scattered wide
Each neural cluster holds its pride
Sparse high-dimensional patterns flow
Nearly orthogonal, that's how they glow
Content-addressable broadcast streams
Through channels shared like tangled dreams
Tuned receivers catch their call
While others let the signals fall
[Chorus]
Five pillars hold the cortex strong
Sparse coding where the patterns belong
Local gradients learning fast
Hierarchies that outlast
Dynamic routing through the night
Neuromodulation sets it right
Mathematical symphony
In distributed harmony
[Verse 2]
No backprop chains across the brain
Local approximate gradient's gain
Each column refines its tuning sphere
Based on signals crystal clear
No global error routing maze
Just local learning through the haze
Plasticity blooms where it's needed most
Without some central command post
[Chorus]
Five pillars hold the cortex strong
Sparse coding where the patterns belong
Local gradients learning fast
Hierarchies that outlast
Dynamic routing through the night
Neuromodulation sets it right
Mathematical symphony
In distributed harmony
[Bridge]
Monoidal aggregation weaves
Column outputs like autumn leaves
Combining into grander forms
Without coordination storms
Thalamus conducts the dance
Oscillations shift the stance
Active subsets rearrange
Context makes the routing change
[Verse 3]
Attention sculpts the neural choir
Task demands rewire the fire
Dynamic pathways come alive
While others rest and take a dive
Neuromodulatory waves
Broadcast slow like ocean caves
Gating plasticity's door
Setting operational core
[Verse 4]
From sensory streams to abstract thought
Hierarchical levels get caught
Lower layers process the raw
Higher levels see without flaw
Representations build up high
Like towers reaching for the sky
Each level captures its own scale
In this computational tale
[Chorus]
Five pillars hold the cortex strong
Sparse coding where the patterns belong
Local gradients learning fast
Hierarchies that outlast
Dynamic routing through the night
Neuromodulation sets it right
Mathematical symphony
In distributed harmony
[Outro]
Distributed computation's art
Each column plays its vital part
Mathematical foundations deep
Make cortical promises keep
[Final Chorus]
Five pillars hold the cortex strong
Sparse coding where the patterns belong
Local gradients learning fast
Hierarchies that outlast
Dynamic routing through the night
Neuromodulation sets it right
Mathematical symphony
In distributed harmony