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

Robert McMenemy
13 min readOct 18, 2024

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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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Robert McMenemy
Robert McMenemy

Written by Robert McMenemy

Full stack developer with a penchant for cryptography.

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