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Decentralized stochastic sharpness-aware minimization algorithm.

Simiao Chen1, Xiaoge Deng2, Dongpo Xu1

  • 1Key Laboratory for Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, China.

Neural Networks : the Official Journal of the International Neural Network Society
|April 23, 2024
PubMed
Summary
This summary is machine-generated.

We introduce decentralized stochastic sharpness-aware minimization (D-SSAM), a novel algorithm using distributed network topology to enhance machine learning model generalization. This approach improves test set performance for distributed stochastic algorithms.

Keywords:
Distributed optimizationGeneralization improvementSharpness-aware minimization(SAM)Stochastic gradient methods

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Area of Science:

  • Machine Learning
  • Distributed Systems
  • Optimization Algorithms

Background:

  • Distributed stochastic algorithms are prevalent in machine learning but suffer from poor generalization.
  • Traditional algorithms struggle to bridge the gap between training set fitness and test set performance.
  • Sharpness-Aware Minimization (SAM) improves generalization by seeking flatter minima.

Purpose of the Study:

  • To enhance the generalization ability of distributed stochastic algorithms.
  • To introduce a novel algorithm, decentralized stochastic sharpness-aware minimization (D-SSAM), by integrating distributed network topology with SAM principles.
  • To analyze the convergence properties and empirical effectiveness of D-SSAM.

Main Methods:

  • Development of the decentralized stochastic sharpness-aware minimization (D-SSAM) algorithm.
  • Incorporation of distributed network topology into the SAM framework.
  • Theoretical analysis providing sublinear convergence for non-convex objectives.
  • Empirical validation using deep neural networks.

Main Results:

  • D-SSAM effectively improves the generalization ability of distributed stochastic algorithms.
  • Sublinear convergence rates were proven for non-convex targets, comparable to Decentralized Stochastic Gradient Descent (DSGD).
  • Empirical results in deep networks demonstrate the practical benefits and generalization behavior of D-SSAM.

Conclusions:

  • The proposed D-SSAM algorithm successfully leverages distributed network topology to enhance generalization.
  • D-SSAM offers a promising approach for improving the performance of machine learning models on unseen data.
  • The findings contribute to the understanding of generalization in distributed optimization settings.