Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
119 tokens/sec
GPT-4o
56 tokens/sec
Gemini 2.5 Pro Pro
43 tokens/sec
o3 Pro
6 tokens/sec
GPT-4.1 Pro
47 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Bayesian Bits: Unifying Quantization and Pruning (2005.07093v3)

Published 14 May 2020 in cs.LG, cs.CV, and stat.ML

Abstract: We introduce Bayesian Bits, a practical method for joint mixed precision quantization and pruning through gradient based optimization. Bayesian Bits employs a novel decomposition of the quantization operation, which sequentially considers doubling the bit width. At each new bit width, the residual error between the full precision value and the previously rounded value is quantized. We then decide whether or not to add this quantized residual error for a higher effective bit width and lower quantization noise. By starting with a power-of-two bit width, this decomposition will always produce hardware-friendly configurations, and through an additional 0-bit option, serves as a unified view of pruning and quantization. Bayesian Bits then introduces learnable stochastic gates, which collectively control the bit width of the given tensor. As a result, we can obtain low bit solutions by performing approximate inference over the gates, with prior distributions that encourage most of them to be switched off. We experimentally validate our proposed method on several benchmark datasets and show that we can learn pruned, mixed precision networks that provide a better trade-off between accuracy and efficiency than their static bit width equivalents.

User Edit Pencil Streamline Icon: https://streamlinehq.com
Authors (7)
  1. Mart van Baalen (18 papers)
  2. Christos Louizos (30 papers)
  3. Markus Nagel (33 papers)
  4. Rana Ali Amjad (19 papers)
  5. Ying Wang (366 papers)
  6. Tijmen Blankevoort (37 papers)
  7. Max Welling (202 papers)
Citations (109)

Summary

Bayesian Bits: Unifying Quantization and Pruning

The paper presents "Bayesian Bits", a method that aims to optimize neural network resource consumption by unifying mixed precision quantization and pruning. This approach incorporates a novel decomposition of the quantization operation, which enables adaptive bit-width allocation for individual layers while maintaining computational efficiency. The decomposition sequentially increases the bit width by quantizing the residual error, thereby facilitating both quantization and pruning in a unified framework. This paper aligns with the increasing demand for deploying efficient neural networks in resource-constrained environments such as mobile and edge devices.

Overview of Method

Bayesian Bits utilizes a decomposition of the quantization process that iteratively quantizes residual errors, permitting diverse bit-width configurations based on power-of-two bit widths. It introduces learnable stochastic gates that decide whether to activate additional bit-width, effectively controlling the trade-off between the precision and computational load of the network. The inclusion of a possible zero bit-width option allows for network pruning through the same framework.

The stochastic gates are optimized using a variational inference approach, which encourages gates to be inactive, thereby lowering the effective network bit-width. The prior distribution applied to the gates biases the system towards hardware-efficient configurations. This method balances the trade-off between accuracy and computational overhead better than traditional static bit-width quantization methods, which quantize all network layers uniformly.

Experimental Validation

The proposed method was validated on several benchmarks, including MNIST, CIFAR-10, and ImageNet datasets, using models such as LeNet-5 and ResNet18. Bayesian Bits consistently demonstrated superior performance in terms of the trade-off between accuracy and computational efficiency compared to existing approaches like PACT, LSQ, and others. For instance, on ImageNet with a ResNet18 model, Bayesian Bits achieved competitive accuracy while significantly reducing the bit operations (BOPs) compared to baseline methods.

One significant insight from the experiments is the method's ability to adaptively assign bit-widths across layers. It generally retained higher precision in the beginning and ending layers, which is aligned with common practices in mixed-precision training for maintaining accuracy.

Implications and Speculations

The introduction of Bayesian Bits provides a flexible and effective approach to neural network optimization, promising to reduce the inference cost on ranging hardware platforms significantly. This could narrow the gap between model deployment in research settings and real-world application environments that require efficient computing and lower power usage. Additionally, as AI becomes more embedded in everyday devices, methods like Bayesian Bits have potential implications for extending battery life and reducing energy consumption.

Looking forward, integrating Bayesian Bits with hardware-specific optimization routines can enable the development of tailored solutions for specific hardware, potentially incorporating considerations such as latency and energy profiles. Furthermore, exploring extensions of this work to include automated architecture search could provide complementary benefits by simultaneously learning optimal network architectures and their precision configurations.

In conclusion, Bayesian Bits represents a significant contribution to the field of efficient deep learning by fusing quantization and pruning into a coherent optimization problem, evidently yielding practical implementations with notable improvements over traditional methods.

Youtube Logo Streamline Icon: https://streamlinehq.com