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Accelerating AI Performance using Anderson Extrapolation on GPUs

arXiv 2410.19460 ↗First posted 25 Oct 2024cs.LG cs.AI cs.NAcited by 0

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Abstract (arXiv)

We present a novel approach for accelerating AI performance by leveraging Anderson extrapolation, a vector-to-vector mapping technique based on a window of historical iterations. By identifying the crossover point (Fig. 1) where a mixing penalty is incurred, the method focuses on reducing iterations to convergence, with fewer more compute-intensive but generally cacheable iterations, balancing speed and memory usage with accuracy and algorithmic stability, respectively. We demonstrate significant improvements, in both training and inference, motivated by scalability and efficiency extensions to the realm of high-performance computing (HPC).

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 12 of its 32 references that are in the map. First posted on arXiv 25 Oct 2024.

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References · 12

  1. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  2. 2018Group Normalizationcited by 1,524
  3. 2019Deep Equilibrium Modelscited by 615
  4. 2021Carbon Emissions and Large Neural Network Trainingcited by 567
  5. 2021Training Graph Neural Networks with 1000 Layerscited by 169
  6. 2020Multiscale Deep Equilibrium Modelscited by 151
  7. 2021JFB: Jacobian-Free Backpropagation for Implicit Networkscited by 86
  8. 2021On Training Implicit Modelscited by 75
  9. 2021Stabilizing Equilibrium Models by Jacobian Regularizationcited by 72
  10. 2021Stochastic Anderson Mixing for Nonconvex Stochastic Optimizationcited by 7
  11. 2020Anderson Acceleration for Nonconvex ADMM Based on Douglas-Rachford Splittingcited by 6
  12. 2024PETScML: Second-order solvers for training regression problems in Scientific Machine Learningcited by 4

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