Module reversible_encoding 

Reversible Position-Aware VSA Encoding

This module implements true holographic storage where data can be reconstructed from the VSA vector. With chunked encoding, typical accuracy is 90-95% before correction layer application.

Chunk size is configurable: smaller chunks (8-64 bytes) provide higher accuracy per chunk but more overhead; embeddenator-fs uses 64 bytes as a balance between accuracy and efficiency.

Architecture

For each byte at position i:
  encoded[i] = bind(position_vector[i], byte_vector[data[i]])

Memory = bundle(encoded[0], encoded[1], ..., encoded[n])

To retrieve byte at position i:
  query = bind(position_vector[i], Memory)
  byte = argmax_b(cosine(query, byte_vector[b]))

This uses the fundamental VSA operations:

• Bind: Creates a composite that’s dissimilar to both inputs but can be unbound
• Bundle: Superimposes vectors while preserving retrievability
• Unbind: Reverses bind to retrieve the bound content

Why This Works

• Each (position, byte) pair has a unique representation
• Bundle creates holographic superposition of all pairs
• Unbind + similarity search retrieves the original byte
• No information loss from collisions

Structs

ReversibleVSAEncoder

Reversible encoder using position-aware VSA binding

Constants

MAX_POSITIONS

Maximum file size for position-aware encoding (4MB in 64-byte chunks)