Unifying Hyperdimensional Computing, Category Theory, CNNs, GNNs and Symbolic Reasoning: A Deep Dive into Advanced AI Pattern Recognition

Robert McMenemy
13 min readJust now

Introduction

Artificial Intelligence (AI) has gone through remarkable transformations over the years, evolving from traditional machine learning techniques to more complex architectures capable of handling multi-modal data. Hyperdimensional Computing (HDC), Category Theory, Graph Neural Networks (GNNs), Convolutional Neural Networks (CNNs) and Symbolic Reasoning are some of the more cutting-edge concepts making waves in AI research today.

These methods, when combined, enable AI systems to handle highly abstract tasks, learn from complex data structures and make symbolic inferences — making them exceptionally useful for real-world applications ranging from robotics to natural language processing.

This article explores these advanced AI techniques by walking through the underlying mathematical theorems, deep-diving into the code with detailed snippets, and discussing use cases, benefits, and performance comparisons with traditional methods. In particular, we’ll build a cohesive pipeline that integrates these techniques into a unified system capable of learning, reasoning and abstract decision-making.

1. Mathematics of…

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