Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
194 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Error Compensated Quantized SGD and its Applications to Large-scale Distributed Optimization (1806.08054v1)

Published 21 Jun 2018 in cs.CV and cs.DC

Abstract: Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the error compensated quantized stochastic gradient descent algorithm to improve the training efficiency. Local gradients are quantized to reduce the communication overhead, and accumulated quantization error is utilized to speed up the convergence. Furthermore, we present theoretical analysis on the convergence behaviour, and demonstrate its advantage over competitors. Extensive experiments indicate that our algorithm can compress gradients by a factor of up to two magnitudes without performance degradation.

Citations (226)

Summary

  • The paper introduces an error-feedback mechanism that compensates for accumulated quantization errors using historical gradient data.
  • The methodology employs stochastic gradient quantization to reduce communication overhead while ensuring faster and more stable convergence through tighter variance bounds.
  • Empirical results demonstrate up to 80x communication savings, maintaining full-precision SGD accuracy in large-scale distributed learning scenarios.

Error Compensated Quantized SGD and its Applications to Large-scale Distributed Optimization

The paper "Error Compensated Quantized Stochastic Gradient Descent (ECQ-SGD) and its Applications to Large-scale Distributed Optimization," authored by researchers from Tencent AI Lab, presents a novel approach to improving the efficiency of large-scale distributed optimization tasks. The method specifically aims to address the communication overhead associated with gradient exchange in data-parallel distributed learning frameworks, which often acts as a bottleneck in such environments.

Motivations and Methodology

At the heart of the proposed solution is the quantization of local gradients, which reduces the amount of data that needs to be transmitted between nodes. The authors leverage an error-feedback mechanism to compensate for quantization errors accumulated over previous iterations, thus mitigating potential convergence issues caused by those errors. This approach stands in contrast to previous methods such as 1Bit-SGD, where error compensation typically considers only the last iteration's error.

The ECQ-SGD algorithm integrates a stochastic quantization function, mapping gradients into a quantization codebook, thus efficiently encoding the gradients. The use of uniformly distributed quantization points ensures effective gradient compression. Despite the stochastic nature of the quantization, the authors demonstrated through theoretical analysis that the accumulated quantization errors in ECQ-SGD can be effectively suppressed, leading to a convergence behavior that is not only stable but also faster than existing methods like QSGD.

Theoretical Contributions

The paper includes rigorous theoretical analyses that underpin the ECQ-SGD algorithm. A significant analytical component of the research is the exploration of the variance bound of the quantization error. The authors derive an upper bound for the variance, proving that the error-feedback mechanism strategically suppresses the impact of quantization errors over time. This suppression has implications for achieving tighter worst-case error bounds than traditional QSGD, particularly by appropriately choosing hyper-parameters for ECQ-SGD.

In the analysis of quadratic optimization problems, the authors establish that ECQ-SGD achieves superior performance by effectively balancing the trade-off between compression and accuracy. This is substantiated by demonstrable improvements in sub-optimality gaps over competing methods.

Empirical Evaluation

The empirical results presented validate the theoretical claims through extensive experiments on both synthetic and real-world datasets. Linear models showed that ECQ-SGD provides a better balance between convergence speed and quantization error contribution to the error bound than baseline methods. Furthermore, for non-convex scenarios, such as training convolutional neural networks on CIFAR-10, the method demonstrated substantial communication savings without compromising model accuracy.

Notably, the method showed a significant reduction in communication overhead, achieving high compression ratios (up to over 80 times) while maintaining performance parity with full-precision SGD in practical scenarios. The scalability was also evaluated using a performance model, affirming ECQ-SGD's capability to accelerate distributed learning in large-scale settings.

Implications and Future Directions

The ECQ-SGD algorithm provides a robust framework for distributed optimization that tightly integrates error compensation with gradient quantization. Its potential application extends to various large-scale machine learning tasks where communication efficiency is critical to performance. The insights on parameter choices could guide further refinements to enhance robustness and adaptability in diverse distributed environments.

Future research could explore adapting this method for scenarios involving asynchronous updates or integrating it into areas outside of traditional model training environments, such as federated learning. Investigating its potential in reducing hardware power consumption through reduced transmission frequency and data volume could yield additional benefits.

Overall, this work represents a meaningful contribution to distributed optimization, shedding light on the intricate balance required between communication efficiency, computational overhead, and convergence guarantees in scalable machine learning.