[Verse 1]
Time to build the capstone dream, three pillars standing strong
Many small recurrent units, local learning all along
Gradient descent approximation in each microscopic cell
Hebbian plasticity whispers what the cortex knows so well
Each column learns its fragment, plastic weights adjust with time
Neural circuits find their patterns through computational rhyme
[Chorus]
Capstone calling, integration time
Three properties in one design
Hierarchical composition, addressable and sparse
Map biology to mathematics, bridge the paradigm
Recurrent units, shared substrate, broadcast signals shine
Where cortex meets the algorithm, theory meets the mind
[Verse 2]
Composability emerges when the layers learn to stack
Shared representational substrate keeps the knowledge on track
Bottom-up meets top-down processing, hierarchical and clean
Graph networks show the pathway to the compositional scene
Common features crystallize across the neural divide
Platonic representations where the concepts coincide
[Chorus]
Capstone calling, integration time
Three properties in one design
Hierarchical composition, addressable and sparse
Map biology to mathematics, bridge the paradigm
Recurrent units, shared substrate, broadcast signals shine
Where cortex meets the algorithm, theory meets the mind
[Bridge]
But cortex never settles like our equations claim
Non-equilibrium dynamics play a different game
Free energy principle suggests the goals align
But evidence stays mixed across the empirical line
Kanerva's hyperdimensions, Hawkins' thousand brains
Each column holds a model where the mystery remains
[Verse 3]
Sparse high-dimensional vectors carry content through the void
Content-addressable memory that cannot be destroyed
Random projections bind the features in a holographic space
While biology meets silicon in this computational race
Your design will differ from the tissue in your skull
Mark each gap between the theory and reality's pull
[Verse 4]
Emergence from the microcircuits, complexity unfolds
Synaptic weights tell stories that the neural forest holds
From cortical columns to consciousness, the ladder climbs so high
Each recurrent loop a universe where thoughts are born to fly
[Final Chorus]
Capstone calling, integration time
Three properties in one design
Hierarchical composition, addressable and sparse
Map biology to mathematics, bridge the paradigm
Recurrent units, shared substrate, broadcast signals shine
Where cortex meets the algorithm, in your capstone design
[Outro]
Small units learning locally, composition's sacred art
Addressable and broadcast-ready, every vital part
The mathematics of the cortex in your hands to redesign