1. A Walsh Hadamard Derived Linear Vector Symbolic Architecture
- Author
-
Alam, Mohammad Mahmudul, Oberle, Alexander, Raff, Edward, Biderman, Stella, Oates, Tim, and Holt, James
- Subjects
Computer Science - Artificial Intelligence ,Computer Science - Machine Learning - Abstract
Vector Symbolic Architectures (VSAs) are one approach to developing Neuro-symbolic AI, where two vectors in $\mathbb{R}^d$ are `bound' together to produce a new vector in the same space. VSAs support the commutativity and associativity of this binding operation, along with an inverse operation, allowing one to construct symbolic-style manipulations over real-valued vectors. Most VSAs were developed before deep learning and automatic differentiation became popular and instead focused on efficacy in hand-designed systems. In this work, we introduce the Hadamard-derived linear Binding (HLB), which is designed to have favorable computational efficiency, and efficacy in classic VSA tasks, and perform well in differentiable systems. Code is available at https://github.com/FutureComputing4AI/Hadamard-derived-Linear-Binding, Comment: To appear in the 38th Conference on Neural Information Processing Systems (NeurIPS 2024)
- Published
- 2024