# Hyperdimensional Computing (HDC)

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## What Is Hyperdimensional Computing?

Hyperdimensional computing is a new approach to information processing that uses high-dimensional mathematical vectors to represent and manipulate information instead of traditional machine language 0s and 1s.

This approach, which seeks to make encoding, processing, and storing data more efficient, is an emerging field of study with promising potential for applications in cognitive modeling, machine learning (ML), natural language processing (NLP), and robotics.

### Techopedia Explains

In mathematics, a vector is an ordered collection of values, and the dimension of a vector corresponds to the number of elements it contains. (In this context, a dimension is a specific attribute, feature, or value associated with the vector.)

High-dimensional vectors, which have a large number of dimensions, have the potential to capture complex data patterns and relationships more accurately than traditional binary computing in certain contexts, depending on the algorithms and techniques employed.

## How Hyperdimensional Computing Works

A vector can be thought of as a list of numbers that describes something. The numbers, which can be positive or negative, can be added, subtracted, and combined in different ways to analyze the relationships between different vectors.

Hyperdimensional computing leverages the concepts of binding and superposition to simplify the analysis.

Binding is the process of combining different features together to create a representation that encodes all the features at the same time. Superposition is a process that combines two hypervectors together to create a new representation that captures the relationship between the original vectors.

Vector Symbolic Architectures (VSA) provide a mathematical framework for encoding and processing symbolic knowledge.

## Why Hyperdimensional Computing Is Important

Hyperdimensional computing’s rich feature representations make it an important area of computational research and development (R&D) for several reasons:

1. Hyperdimensional computing allows complex relationships and nuanced patterns in data to be captured more effectively than traditional binary representations because each dimension can represent different aspects or features of the data.
2. This approach draws its inspiration from cognitive and neural processes. It can provide researchers with more insight into how the human brain handles complex concepts such as memory, pattern recognition, and learning.
3. This approach can accommodate missing information better than binary computing because small errors in individual components will have a minimal impact on the overall representation.
4. Vector operations such as addition, subtraction, and multiplication can be performed in parallel, which makes hyperdimensional computations highly scalable.
5. The principles of hyperdimensional computing can be adapted and customized to suit specific applications and use cases.

## Benefits

High-dimensional vectors can encode a vast amount of information in a concise form, which reduces memory requirements and enables more efficient storage and information retrieval. This efficiency is particularly useful in scenarios where computational resources are limited or in applications that involve large-scale data processing.

Hyperdimensional computing offers several potential benefits that can potentially improve artificial intelligence (AI) systems and make them more efficient. By encoding information in high-dimensional spaces, this new approach to information processing can capture complex relationships between data points and generalize well to unseen examples.

This ability is especially beneficial when the training data for fine-tuning a foundation model is limited.

## The Future of Hyperdimensional Computing

The future of hyperdimensional computing holds promising potential for advancements and applications across many fields of study. Potential directions and areas of interest include:

• Capturing complex sensor data relationships and correlations in the Internet of Things (IoT) and providing a unified representation of sensor data from multiple sources;
• Enhancing nuance in language modeling, semantic understanding, sentiment analysis, machine translation, and other generative AI operations;
• Helping robots perceive and interpret sensory data about their surroundings and make decisions;
• Analyzing medical sensor data to detect anomalies, predict diseases, or identify patterns indicative of specific conditions;
• Identifying sophisticated cyberattack patterns that may go unnoticed with traditional approaches.

## Hyperdimensional  vs. Quantum Computing

Some experts believe that hyperdimensional computing could serve as a bridge between classical computing and quantum computing.

• Hyperdimensional computing is inspired by the way the human brain processes information. The brain is thought to use quantum-like processes to store and process information, so hyperdimensional computing could provide a way to simulate these processes on a classical computer.
• Both hyperdimensional computing and quantum computing use high-dimensional vectors to represent information. This means that they share some of the same mathematical foundations, which could make it easier to develop hybrid systems that combine the strengths of both approaches.