On Geometric Algebra representation of Binary Spatter Codes

Abstract

Kanerva's Binary Spatter Codes are reformulated in terms of geometric algebra. The key ingredient of the construction is the representation of XOR binding in terms of geometric product.

preliminary version

References in corpus (6)

• A Theory of Concepts and Their Combinations II: A Hilbert Space Representation
• Quantum Aspects of Semantic Analysis and Symbolic Artificial Intelligence
• Expressing the operations of quantum computing in multiparticle geometric algebra
• Local unitary versus local Clifford equivalence of stabilizer states
• Finite set of invariants to characterize local Clifford equivalence of stabilizer states
• The invariants of the local Clifford group

Cited by in corpus (5)

• A Survey on Hyperdimensional Computing aka Vector Symbolic Architectures, Part I: Models and Data Transformations
• A semi-holographic hyperdimensional representation system for hardware-friendly cognitive computing
• Geometric-Algebra Quantum-Like Algorithms: Simon's Algorithm
• Notes on Geometric-Algebra Quantum-Like Algorithms
• Geometric Analogue of Holographic Reduced Representation