[Verse 1]
In the cortex where the pyramids grow tall
Dendrites branching like a waterfall
Segregated trees with separate roles
Apical feedback, basal controls
Guerguiev showed us what the circuits hide
Two-compartment neurons, side by side
Forward pass flows through the basal domain
While error signals climb the apical chain
[Chorus]
Dendrites dancing, learning how to learn
Segregated branches, watch the patterns turn
Backprop approximation in biological design
Burst-dependent plasticity, keeping neurons in line
Cortical columns computing distributed dreams
Nothing is quite the way it seems
[Verse 2]
Sacramento's microcircuits tell the tale
How biology makes gradient descent prevail
Interneurons whisper inhibitory codes
While pyramidal cells carry the loads
Top-down predictions meet bottom-up drive
In dendritic compartments, algorithms come alive
Local learning rules that mirror global schemes
Cortical mathematics, more than what it seems
[Chorus]
Dendrites dancing, learning how to learn
Segregated branches, watch the patterns turn
Backprop approximation in biological design
Burst-dependent plasticity, keeping neurons in line
Cortical columns computing distributed dreams
Nothing is quite the way it seems
[Verse 3]
Payeur revealed the burst that breaks the code
Calcium spikes on the apical road
Hierarchical circuits synchronized in time
Synaptic plasticity, rhythm and rhyme
When predictions fail, the bursts begin
Teaching deeper layers from within
Coordinated learning across the brain's expanse
Every dendrite gets its chance to dance
[Verse 4]
Layer five neurons reach both high and low
Connecting cortical hierarchies in one flow
BAC firing patterns bridge the neural divide
While dopamine signals amplify and guide
Contextual gates and multiplicative gain
Transform raw signals in the learning brain
Each dendritic tree a computational node
In biology's elegant neural code
[Bridge]
From soma to the farthest dendritic tip
Information processing on a roundtrip
Biological networks learning to adapt
Closing the gap where theory and practice overlap
[Chorus]
Dendrites dancing, learning how to learn
Segregated branches, watch the patterns turn
Backprop approximation in biological design
Burst-dependent plasticity, keeping neurons in line
Cortical columns computing distributed dreams
Nothing is quite the way it seems
[Outro]
In every cortical column's computational space
Dendrites orchestrate learning's embrace