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Classification using Hyperdimensional Computing: A Review (2004.11204v1)

Published 19 Apr 2020 in cs.LG, cs.AI, cs.CL, cs.NE, and eess.SP

Abstract: Hyperdimensional (HD) computing is built upon its unique data type referred to as hypervectors. The dimension of these hypervectors is typically in the range of tens of thousands. Proposed to solve cognitive tasks, HD computing aims at calculating similarity among its data. Data transformation is realized by three operations, including addition, multiplication and permutation. Its ultra-wide data representation introduces redundancy against noise. Since information is evenly distributed over every bit of the hypervectors, HD computing is inherently robust. Additionally, due to the nature of those three operations, HD computing leads to fast learning ability, high energy efficiency and acceptable accuracy in learning and classification tasks. This paper introduces the background of HD computing, and reviews the data representation, data transformation, and similarity measurement. The orthogonality in high dimensions presents opportunities for flexible computing. To balance the tradeoff between accuracy and efficiency, strategies include but are not limited to encoding, retraining, binarization and hardware acceleration. Evaluations indicate that HD computing shows great potential in addressing problems using data in the form of letters, signals and images. HD computing especially shows significant promise to replace machine learning algorithms as a light-weight classifier in the field of internet of things (IoTs).

Citations (163)

Summary

  • The paper reviews Hyperdimensional Computing (HD), a brain-inspired approach using high-dimensional vectors (hypervectors) and operations (addition, multiplication, permutation) for robust and efficient classification by encoding data and calculating similarity.
  • It discusses encoding strategies like record-based and N-gram based methods which transform data into hypervectors, significantly impacting classification accuracy, alongside techniques like binarization and compression to balance accuracy and efficiency.
  • The review highlights HD computing's promise as a lightweight classifier for energy-constrained devices like IoT, applicable in areas such as speech and language recognition, while identifying future directions for advancing cognitive models and encoding methods.

Classification Using Hyperdimensional Computing: A Review

The paper "Classification using Hyperdimensional Computing: A Review" offers a comprehensive examination of Hyperdimensional (HD) computing, an approach rooted in cognitive science and inspired by models such as holographic reduced representation (HRR) and tensor product variable binding. HD computing operates through the manipulation of hypervectors—high-dimensional vectors typically comprising tens of thousands of dimensions—aiming to process cognitive tasks by calculating similarity among data encoded within these hypervectors. The fundamental operations necessary for HD computing include addition, multiplication, and permutation, which facilitate robust data encoding, transformation, and retrieval.

Background and Methodology

The paper begins by contrasting HD computing with classical computing paradigms. Unlike classical systems that manipulate scalar values using traditional arithmetic and logical operations, HD computing employs hypervectors that offer redundancy and robustness against noise due to their ultra-wide data representation. This enables inherent resilience, rapid learning capabilities, and energy efficiency while maintaining competitive classification accuracy.

One of HD computing's most intriguing characteristics is the orthogonality of randomly generated hypervectors; their high-dimensional nature allows them to be nearly orthogonal, thus supporting flexible computation and robust classification. This property is exploited in operations that bind, bundle, and permute these hypervectors to establish associations and representations.

Learning and Classification

The paper outlines the HD computing methodology for classification tasks, emphasizing encoding techniques that transform data types, such as letters, signals, and images into hypervectors. Two primary encoding strategies are discussed:

  1. Record-based Encoding: Utilizes position hypervectors and correlated level hypervectors to represent data features, particularly useful in scenarios like speech recognition where audio signals are mapped into feature vectors.
  2. N-gram-based Encoding: Employs permutations of hypervectors to encode sequences, applicable for language recognition through trigram and higher order gram statistics.

These encoding methods are crucial as they significantly influence the classification accuracy of HD computing models, driving efforts to optimize feature mappings for various applications.

Tradeoffs and Improvements

The paper explores the tradeoffs between accuracy and efficiency within HD computing—the focus of ongoing research. To refine these aspects, strategies like adaptive retraining, dimension reduction, binarization, and hardware acceleration are examined. For instance, approaches like quantization and model compression (CompHD) have been proposed to enhance efficiency by lowering dimensionality while mitigating accuracy loss.

Applications and Implications

HD computing shows promise in replacing traditional machine learning algorithms as lightweight classifiers, especially suited for the Internet of Things (IoTs) due to its energy-efficient operations. Applications such as speech recognition, seizure detection, text categorization, and language recognition are explored, demonstrating HD computing's applicability across diverse domains. These areas benefit from HD's ability to rapidly train and infer using less powerful hardware while maintaining performance metrics comparable to more resource-intensive algorithms.

Future Directions

The paper acknowledges the nascent nature of HD computing, suggesting several forward-thinking areas for research development:

  • Advancing cognitive models by integrating more complex reasoning tasks and relational representation.
  • Refining feature extraction and encoding processes to broaden HD computing's applicability to various data types.
  • Innovating similarity measurement methods to bolster hardware efficiencies and enhance classification accuracy.
  • Expanding research towards multi-class hypervector representations to better simulate intricate classification environments.

Conclusion

In summary, HD computing emerges as a robust alternative for dealing with classification problems, leveraging high-dimensional spaces to compute reliably and efficiently. The paper underscores the importance of balancing accuracy and efficiency while identifying future challenges and opportunities to expand HD computing's applicability beyond its current scope. The implications for AI advancements are profound, as HD computing offers a scalable, brain-inspired model capable of addressing complex cognitive tasks in resource-constrained environments.