[Verse 1] Start with vectors high-dimensional space Ten thousand bits to represent each place Bind operation multiplies them clean Bundle adds them up, a weighted scene Unbind divides to find what's hiding there Knowledge graphs encoded in the air Entities become these dancing codes Relationships flow down binary roads [Chorus] Bind and bundle, unbind the mystery VSA holds our semantic history Noise creeps in but patterns still survive Sparse distributed memories come alive Bind and bundle, query what you need Neural mathematics plants the seed [Verse 2] Build a graph with people, places, things Each node gets a vector that just sings Paris bound to France through multiplication Person bound to city, pure creation Store the bundles in your memory bank Query back the facts, give knowledge rank Compositional structure breaks apart When you unbind, you find each beating heart [Chorus] Bind and bundle, unbind the mystery VSA holds our semantic history Noise creeps in but patterns still survive Sparse distributed memories come alive Bind and bundle, query what you need Neural mathematics plants the seed [Verse 3] Similarity measures guide the way Cosine distance shows what vectors say Threshold functions separate the wheat From chaff that makes retrieval incomplete Holographic properties emerge clear Distributed pieces everywhere Each fragment holds the whole inside Mathematical magic cannot hide [Bridge] Now inject some noise into the stream Gaussian chaos haunts your perfect dream Measure how retrieval starts to fade As corruption grows, what price you've paid Forty percent noise might break the chain But thirty keeps your knowledge flowing clean [Verse 4] Combine it now with sparse distributed store Content-addressable, room for so much more Kanerva's model meets hyperdimensional flight Address patterns gleaming in the night Interference patterns tell the tale Of cortical columns that will never fail Biology meets mathematics here In computational circuits crystal clear [Chorus] Bind and bundle, unbind the mystery VSA holds our semantic history Noise creeps in but patterns still survive Sparse distributed memories come alive Bind and bundle, query what you need Neural mathematics plants the seed [Outro] From brain to code and back again The vectors dance in binary zen Exercises done, the knowledge grows How cortical computation flows
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