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A Survey of Quantization Methods for Efficient Neural Network Inference (2103.13630v3)

Published 25 Mar 2021 in cs.CV
A Survey of Quantization Methods for Efficient Neural Network Inference

Abstract: As soon as abstract mathematical computations were adapted to computation on digital computers, the problem of efficient representation, manipulation, and communication of the numerical values in those computations arose. Strongly related to the problem of numerical representation is the problem of quantization: in what manner should a set of continuous real-valued numbers be distributed over a fixed discrete set of numbers to minimize the number of bits required and also to maximize the accuracy of the attendant computations? This perennial problem of quantization is particularly relevant whenever memory and/or computational resources are severely restricted, and it has come to the forefront in recent years due to the remarkable performance of Neural Network models in computer vision, natural language processing, and related areas. Moving from floating-point representations to low-precision fixed integer values represented in four bits or less holds the potential to reduce the memory footprint and latency by a factor of 16x; and, in fact, reductions of 4x to 8x are often realized in practice in these applications. Thus, it is not surprising that quantization has emerged recently as an important and very active sub-area of research in the efficient implementation of computations associated with Neural Networks. In this article, we survey approaches to the problem of quantizing the numerical values in deep Neural Network computations, covering the advantages/disadvantages of current methods. With this survey and its organization, we hope to have presented a useful snapshot of the current research in quantization for Neural Networks and to have given an intelligent organization to ease the evaluation of future research in this area.

A Survey of Quantization Methods for Efficient Neural Network Inference

In the paper "A Survey of Quantization Methods for Efficient Neural Network Inference" by Amir Gholami, Sehoon Kim, Zhen Dong, Zhewei Yao, Michael W. Mahoney, and Kurt Keutzer, the authors provide an exhaustive overview of current techniques in neural network quantization. This research addresses the significant computational and memory demands posed by neural networks, particularly relevant for deploying these models in resource-constrained environments such as edge devices.

Introduction

Quantization is a process used to map a large, often continuous set of numbers to a smaller, discrete set. In the context of neural networks, moving from floating-point representations to low-precision fixed integer values can drastically reduce memory footprint and computational requirements. This paper meticulously categorizes and evaluates different quantization methodologies, outlining their advantages and limitations while providing insights into their practical applications.

Basic Concepts of Quantization

The authors begin by introducing the fundamental concepts of quantization, including uniform and non-uniform quantization, symmetric and asymmetric quantization, and the calibration of quantization ranges. Uniform quantization distributes the quantization levels evenly, while non-uniform quantization can better capture the distribution of values by allocating bits more judiciously.

Symmetric quantization uses a symmetric range around zero for quantization, simplifying implementation by setting the zero-point to zero. In contrast, asymmetric quantization can offer a tighter clipping range, minimizing information loss but introducing additional complexity. Static quantization pre-determines the calibration range, typically leading to less accuracy than dynamic quantization, which recalculates ranges in real-time.

Advanced Concepts: Quantization Below 8 bits

The paper explores more complex areas like simulated quantization versus integer-only quantization. Simulated quantization maintains parameters in low-precision while executing operations in floating-point arithmetic, thus not fully leveraging the benefits of low-precision hardware. On the other hand, integer-only quantization processes operations entirely in low-precision arithmetic, optimizing computational efficiency.

Mixed-precision quantization is another significant area of discussion, where different bits of precision are used for different layers or operations within a neural network. This methodology balances the trade-offs between the accuracy and efficiency of quantization, dynamically adjusting the bit-widths.

Hardware and Quantization Co-Design

A critical aspect of the paper is its focus on hardware-aware quantization. The efficiency gains from quantization are inherently hardware-dependent. For this reason, co-designing neural network architectures along with hardware specifications can yield optimal performance. Reinforcement learning techniques, among others, can be employed to explore the most efficient quantization strategies for specific hardware setups.

Quantization Challenges and Opportunities

The authors identify the challenge of achieving effective quantization without access to the original training data, termed zero-shot quantization. This scenario is particularly relevant for privacy-sensitive applications. Techniques such as generating synthetic data and leveraging batch normalization statistics are discussed as potential solutions.

Practical and Theoretical Implications

From a practical standpoint, quantization enables the deployment of sophisticated neural networks on edge devices like microcontrollers and low-power processors by reducing their computational footprint. This holds significant implications for a variety of applications, including real-time analytics, autonomous vehicles, and healthcare monitoring.

Theoretically, the different behaviors of neural networks under quantization stress the need for designing novel algorithms that can maintain their robustness and accuracy when subjected to aggressive quantization. The use of mixed-precision and adaptive learning rates represents potential future research directions.

Conclusion

In summary, the paper "A Survey of Quantization Methods for Efficient Neural Network Inference" provides a comprehensive catalog of quantization strategies tailored for neural networks. By rigorously examining these methods, the authors offer valuable insights into their implications and lay the groundwork for further research in quantization to realize efficient and accurate neural network inference in resource-constrained environments.

Future research directions include the development of more accessible quantization software libraries, joint optimization of neural network architectures and their appropriate quantization levels, and enhancing training algorithms to work robustly under extreme low-precision constraints.

The work stands as a cornerstone reference for advancing the field of neural network quantization, providing both foundational knowledge and a pointer to future innovations.

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Authors (6)
  1. Amir Gholami (60 papers)
  2. Sehoon Kim (30 papers)
  3. Zhen Dong (87 papers)
  4. Zhewei Yao (64 papers)
  5. Michael W. Mahoney (233 papers)
  6. Kurt Keutzer (199 papers)
Citations (910)
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