mlsanityData to 14 Oct 2026

Benchmarking Neural Network Training Algorithms

arXiv 2306.07179 ↗First posted 12 Jun 2023cs.LG stat.MLcited by 52

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Abstract (arXiv)

Training algorithms, broadly construed, are an essential part of every deep learning pipeline. Training algorithm improvements that speed up training across a wide variety of workloads (e.g., better update rules, tuning protocols, learning rate schedules, or data selection schemes) could save time, save computational resources, and lead to better, more accurate, models. Unfortunately, as a community, we are currently unable to reliably identify training algorithm improvements, or even determine the state-of-the-art training algorithm. In this work, using concrete experiments, we argue that real progress in speeding up training requires new benchmarks that resolve three basic challenges faced by empirical comparisons of training algorithms: (1) how to decide when training is complete and precisely measure training time, (2) how to handle the sensitivity of measurements to exact workload details, and (3) how to fairly compare algorithms that require hyperparameter tuning. In order to address these challenges, we introduce a new, competitive, time-to-result benchmark using multiple workloads running on fixed hardware, the AlgoPerf: Training Algorithms benchmark. Our benchmark includes a set of workload variants that make it possible to detect benchmark submissions that are more robust to workload changes than current widely-used methods. Finally, we evaluate baseline submissions constructed using various optimizers that represent current practice, as well as other optimizers that have recently received attention in the literature. These baseline results collectively demonstrate the feasibility of our benchmark, show that non-trivial gaps between methods exist, and set a provisional state-of-the-art for future benchmark submissions to try and surpass.

Key facts. Cited by 52 papers in the map (data through 14 Oct 2026). First posted on arXiv 12 Jun 2023.

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Citing papers per year: 2023: 3; 2024: 14; 2025: 17; 2026: 18.

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  10. 2025COSMOS: A Hybrid Adaptive Optimizer for Memory-Efficient Training of LLMscited by 30
  11. 2024Time-, Memory- and Parameter-Efficient Visual Adaptationcited by 28
  12. 2025Purifying Shampoo: Investigating Shampoo's Heuristics by Decomposing its Preconditionercited by 23
38 more
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  10. 2025Through the River: Understanding the Benefit of Schedule-Free Methods for Language Model Trainingcited by 9
  11. 2026Muon Does Not Converge on Convex Lipschitz Functionscited by 9
  12. 2024Stabilizing Sharpness-aware Minimization Through A Simple Renormalization Strategycited by 8
  13. 2024Partial Rankings of Optimizerscited by 8
  14. 2024Loss Landscape Characterization of Neural Networks without Over-Parametrizationcited by 8
  15. 2025FedMuon: Federated Learning with Bias-corrected LMO-based Optimizationcited by 8
  16. 2025Optimization Benchmark for Diffusion Models on Dynamical Systemscited by 7
  17. 2024MetaOptimize: A Framework for Optimizing Step Sizes and Other Meta-parameterscited by 5
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  19. 2026AMUSE: Anytime Muon with Stable Gradient Evaluationcited by 4
  20. 2024LASER: Attention with Exponential Transformationcited by 3
  21. 2025How far away are truly hyperparameter-free learning algorithms?cited by 2
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  23. 2026DASH: Faster Shampoo via Batched Block Preconditioning and Efficient Inverse-Root Solverscited by 2
  24. 2026LionMuon: Alternating Spectral and Sign Descent for Efficient Trainingcited by 2
  25. 2026FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoocited by 2
  26. 2025Learning by solving differential equationscited by 1
  27. 2025DyKAF: Dynamical Kronecker Approximation of the Fisher Information Matrix for Gradient Preconditioningcited by 1
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  29. 2026Beyond a Single Explanation of the Adam--SGD Gapcited by 1
  30. 2024Expanding the Horizon: Enabling Hybrid Quantum Transfer Learning for Long-Tailed Chest X-Ray Classificationcited by 0
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  32. 2026Understanding Schedule-Free Methods in Nonconvex Optimization: Rate Guarantees and Escaping Saddlescited by 0
  33. 2026The Loss Does Not See the Basis, but Adam Doescited by 0
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  35. 2026Minibatch persistency, eight years later: what batch reuse costs in steps and joules, and what it saves in datacited by 0
  36. 2026LionMuon: Alternating Spectral and Sign Descent for Efficient Trainingcited by 0
  37. 2026How Bregman Divergences Shape Shampoocited by 0
  38. 2026The Best Optimizer Depends on Batch Sizecited by 0

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