Learning with Holographic Reduced Representations

التفاصيل البيبلوغرافية
العنوان: Learning with Holographic Reduced Representations
المؤلفون: Ganesan, Ashwinkumar, Gao, Hang, Gandhi, Sunil, Raff, Edward, Oates, Tim, Holt, James, McLean, Mark
سنة النشر: 2021
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Artificial Intelligence, Computer Science - Machine Learning, Computer Science - Neural and Evolutionary Computing
الوصف: Holographic Reduced Representations (HRR) are a method for performing symbolic AI on top of real-valued vectors by associating each vector with an abstract concept, and providing mathematical operations to manipulate vectors as if they were classic symbolic objects. This method has seen little use outside of older symbolic AI work and cognitive science. Our goal is to revisit this approach to understand if it is viable for enabling a hybrid neural-symbolic approach to learning as a differentiable component of a deep learning architecture. HRRs today are not effective in a differentiable solution due to numerical instability, a problem we solve by introducing a projection step that forces the vectors to exist in a well behaved point in space. In doing so we improve the concept retrieval efficacy of HRRs by over $100\times$. Using multi-label classification we demonstrate how to leverage the symbolic HRR properties to develop an output layer and loss function that is able to learn effectively, and allows us to investigate some of the pros and cons of an HRR neuro-symbolic learning approach. Our code can be found at https://github.com/NeuromorphicComputationResearchProgram/Learning-with-Holographic-Reduced-Representations
Comment: To appear in the 35th Conference on Neural Information Processing Systems (NeurIPS 2021)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2109.02157
رقم الأكسشن: edsarx.2109.02157
قاعدة البيانات: arXiv