Don't Decay the Learning Rate, Increase the Batch Size
Not on the map. Why?
Abstract (arXiv)
It is common practice to decay the learning rate. Here we show one can usually obtain the same learning curve on both training and test sets by instead increasing the batch size during training. This procedure is successful for stochastic gradient descent (SGD), SGD with momentum, Nesterov momentum, and Adam. It reaches equivalent test accuracies after the same number of training epochs, but with fewer parameter updates, leading to greater parallelism and shorter training times. We can further reduce the number of parameter updates by increasing the learning rate ε and scaling the batch size B propto ε. Finally, one can increase the momentum coefficient m and scale B propto 1/(1-m), although this tends to slightly reduce the test accuracy. Crucially, our techniques allow us to repurpose existing training schedules for large batch training with no hyper-parameter tuning. We train ResNet-50 on ImageNet to 76.1% validation accuracy in under 30 minutes.
Key facts. Cited by 313 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Nov 2017.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 61; 2022: 58; 2023: 56; 2024: 46; 2025: 55; 2026: 37.
313 papers.
Sort:
By area:
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
- 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 694
- 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermismcited by 621
- 2022Tensor Programs V: Tuning Large Neural Networks via Zero-Shot Hyperparameter Transfercited by 272
- 2023Challenges and Applications of Large Language Modelscited by 251
- 2022Unlocking High-Accuracy Differentially Private Image Classification through Scalecited by 218
- 2021Federated Learning with Buffered Asynchronous Aggregationcited by 188
- 2021On the Origin of Implicit Regularization in Stochastic Gradient Descentcited by 183
- 2021ExT5: Towards Extreme Multi-Task Scaling for Transfer Learningcited by 161
- 2024Scaling Laws and Compute-Optimal Training Beyond Fixed Training Durationscited by 160
- 2022Self-Stabilization: The Implicit Bias of Gradient Descent at the Edge of Stabilitycited by 151
- 2021Deep Learning Through the Lens of Example Difficultycited by 139
38 more
- 2022Towards Efficient and Scalable Sharpness-Aware Minimizationcited by 129
- 2022Simple-BEV: What Really Matters for Multi-Sensor BEV Perception?cited by 128
- 2023End-to-End Speech Recognition: A Surveycited by 127
- 2021Label Noise SGD Provably Prefers Flat Global Minimizerscited by 121
- 2021Large-Scale Differentially Private BERTcited by 117
- 2021Do We Actually Need Dense Over-Parameterization? In-Time Over-Parameterization in Sparse Trainingcited by 107
- 2024Flora: Low-Rank Adapters Are Secretly Gradient Compressorscited by 103
- 2022Vision Transformers provably learn spatial structurecited by 92
- 2022Automatic Clipping: Differentially Private Deep Learning Made Easier and Strongercited by 87
- 2022Zeus: Understanding and Optimizing GPU Energy Consumption of DNN Trainingcited by 78
- 2021On the Validity of Modeling SGD with Stochastic Differential Equations (SDEs)cited by 73
- 2021On Large-Cohort Training for Federated Learningcited by 73
- 2024How Does Critical Batch Size Scale in Pre-training?cited by 68
- 2023Separable Physics-Informed Neural Networkscited by 64
- 2024AdaptSFL: Adaptive Split Federated Learning in Resource-constrained Edge Networkscited by 64
- 2021Randomness In Neural Network Training: Characterizing The Impact of Toolingcited by 57
- 2022On the Maximum Hessian Eigenvalue and Generalizationcited by 57
- 2021Rethinking "Batch" in BatchNormcited by 44
- 2023Solving Regularized Exp, Cosh and Sinh Regression Problemscited by 44
- 2023No Train No Gain: Revisiting Efficient Training Algorithms For Transformer-based Language Modelscited by 41
- 2025Power Lines: Scaling Laws for Weight Decay and Batch Size in LLM Pre-trainingcited by 41
- 2022Towards understanding how momentum improves generalization in deep learningcited by 40
- 2024Unveiling the Secret Recipe: A Guide For Supervised Fine-Tuning Small LLMscited by 39
- 2022Why neural networks find simple solutions: the many regularizers of geometric complexitycited by 38
- 2022Compute-Efficient Deep Learning: Algorithmic Trends and Opportunitiescited by 38
- 2021The Stability-Efficiency Dilemma: Investigating Sequence Length Warmup for Training GPT Modelscited by 36
- 2023Deep networks for system identification: a Surveycited by 35
- 2023Revisiting the Noise Model of Stochastic Gradient Descentcited by 35
- 2025Straight to Zero: Why Linearly Decaying the Learning Rate to Zero Works Best for LLMscited by 34
- 2021Batch size-invariance for policy optimizationcited by 33
- 2023Scaling Laws for Associative Memoriescited by 30
- 2024Scaling Law with Learning Rate Annealingcited by 29
- 2021Positive-Negative Momentum: Manipulating Stochastic Gradient Noise to Improve Generalizationcited by 28
- 2022Quo Vadis: Is Trajectory Forecasting the Key Towards Long-Term Multi-Object Tracking?cited by 28
- 2021On the Utility of Gradient Compression in Distributed Training Systemscited by 26
- 2022Aspects of scaling and scalability for flow-based sampling of lattice QCDcited by 26
- 2023On Efficient Training of Large-Scale Deep Learning Models: A Literature Reviewcited by 26
- 2024Scaling physics-informed hard constraints with mixture-of-expertscited by 24
50 most cited of 313 All 313 (JSON)
- 2026Synthetic Pre-pretraining Survives Scale, but Not as a Grammatical Prior30 Sep 2026
- 2026Optimizer-dependent training dynamics converge to the same one-third optimal data scaling29 Sep 2026
- 2026A Journey to the Edge of Stability26 Sep 2026
- 2026Parallelism Strategy Chaining for Fast Training Convergence7 Sep 2026
- 2026Post-Training Science for Supervised Fine-Tuning1 Sep 2026
- 2026When Do Larger Batches Help Scale LLM Reinforcement Learning?29 Aug 2026
- 2026Gradient Under Microscope: Benchmarking Resource Utilization of Memory-Efficient Gradient Computation Methods9 Aug 2026
- 2026ML-for-ML6 Aug 2026
- 2026Towards joint scaling laws with optimal batch size schedules30 Jul 2026
- 2026SDO: Structure-Aware Data Organization for Efficient LLM Post-Training29 Jul 2026
- 2026A time-series classification framework for individual-level absenteeism prediction under severe class imbalance30 Jun 2026
- 2026Spectral phase transitions and trainability in neural network learning dynamics26 Jun 2026
38 more
- 2026Statistical Properties of Training & Generalization18 Jun 2026
- 2026Noise-Driven Escape from Metastable Phases explains Grokking in Deep Neural Networks15 Jun 2026
- 2026The Spectral Dynamics and Noise Geometry of Muon7 Jun 2026
- 2026Nonreversible Gauge Fields in Fokker--Planck Dynamics: Supersymmetric Hamiltonians and Learned Finite Forces4 Jun 2026
- 2026How Should LLMs Consume High-Quality Data? Optimal Data Scheduling via Quality-Aware Functional Scaling Laws25 May 2026
- 2026Scalable Reinforcement Learning via Adaptive Batch Scaling20 May 2026
- 2026Accelerated Gradient Descent for Faster Convergence with Minimal Overhead15 May 2026
- 2026LifeSentence: Language models can encode human life course trajectories from longitudinal panel data14 May 2026
- 2026Multi-Narrow Transformation as a Single-Model Ensemble: Boundary Conditions, Mechanisms, and Failure Modes12 May 2026
- 2026HEBATRON: A Hebrew-Specialized Open-Weight Mixture-of-Experts Language Model11 May 2026
- 2026Batch Loss Score for Dynamic Data Pruning6 Apr 2026
- 2026Combee: Scaling Prompt Learning for Self-Improving Language Model Agents5 Apr 2026
- 2026Understanding the Challenges in Iterative Generative Optimization with LLMs25 Mar 2026
- 2026On the Role of Batch Size in Stochastic Conditional Gradient Methods22 Mar 2026
- 2026Tula: Optimizing Time, Cost, and Generalization in Distributed Large-Batch Training18 Mar 2026
- 2026Marginals Before Conditionals10 Mar 2026
- 2026Preventing Learning Stagnation in PPO by Scaling to 1 Million Parallel Environments6 Mar 2026
- 2026SageBwd: A Trainable Low-bit Attention2 Mar 2026
- 2026GIST: Targeted Data Selection for Instruction Tuning via Coupled Optimization Geometry20 Feb 2026
- 2026Fast Catch-Up, Late Switching: Optimal Batch Size Scheduling via Functional Scaling Laws15 Feb 2026
- 2026Beware of the Batch Size: Hyperparameter Bias in Evaluating LoRA10 Feb 2026
- 2026Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model4 Feb 2026
- 2026Adaptive Batch Sizes Using Non-Euclidean Gradient Noise Scales for Stochastic Sign and Spectral Descent3 Feb 2026
- 2026Training LLMs with Fault Tolerant HSDP on 100,000 GPUs30 Jan 2026
- 2026Improved Convergence Rates of Muon Optimizer for Nonconvex Optimization27 Jan 2026
- 2025Can Small Training Runs Reliably Guide Data Curation? Rethinking Proxy-Model Practice30 Dec 2025
- 2025Scaling and Transferability of Annealing Strategies in Large Language Model Training5 Dec 2025
- 2025Xmodel-2.5: 1.3B Data-Efficient Reasoning SLM23 Nov 2025
- 2025Exploring Landscapes for Better Minima along Valleys31 Oct 2025
- 2025Convergence Analysis of SGD under Expected Smoothness23 Oct 2025
- 2025Position: Many generalization measures for deep learning are fragile21 Oct 2025
- 2025Seesaw: Accelerating Training by Balancing Learning Rate and Batch Size Scheduling16 Oct 2025
- 2025DYNAMIX: RL-based Adaptive Batch Size Optimization in Distributed Machine Learning Systems9 Oct 2025
- 2025How does the optimizer implicitly bias the model merging loss landscape?6 Oct 2025
- 2025Hybrid Dual-Batch and Cyclic Progressive Learning for Efficient Distributed Training30 Sep 2025
- 2025Optimization as a Dynamical System: Generative Schedules from Latent ODEs27 Sep 2025
- 2025Closed-form ℓr norm scaling with data for overparameterized linear regression and diagonal linear networks under ℓp bias25 Sep 2025
- 2025A Unified Noise-Curvature View of Loss of Trainability24 Sep 2025
50 newest of 313 All 313 (JSON)
- 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermismcited by 621
- 2024SmolTulu: Higher Learning Rate to Batch Size Ratios Can Lead to Better Reasoning in SLMscited by 3
- 2025Can Small Training Runs Reliably Guide Data Curation? Rethinking Proxy-Model Practicecited by 3
- 2024Xmodel-2 Technical Reportcited by 0
- 2025Xmodel-2.5: 1.3B Data-Efficient Reasoning SLMcited by 0
- 2025Can Small Training Runs Reliably Guide Data Curation? Rethinking Proxy-Model Practice30 Dec 2025
- 2025Xmodel-2.5: 1.3B Data-Efficient Reasoning SLM23 Nov 2025
- 2024Xmodel-2 Technical Report27 Dec 2024
- 2024SmolTulu: Higher Learning Rate to Batch Size Ratios Can Lead to Better Reasoning in SLMs11 Dec 2024
- 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermism5 Jan 2024
- 2024Scaling physics-informed hard constraints with mixture-of-expertscited by 24
- 2025Scaling and Transferability of Annealing Strategies in Large Language Model Trainingcited by 1
- 2026HEBATRON: A Hebrew-Specialized Open-Weight Mixture-of-Experts Language Modelcited by 1
- 2026Post-Training Science for Supervised Fine-Tuningcited by 1
- 2026How Should LLMs Consume High-Quality Data? Optimal Data Scheduling via Quality-Aware Functional Scaling Lawscited by 0
- 2026Post-Training Science for Supervised Fine-Tuning1 Sep 2026
- 2026How Should LLMs Consume High-Quality Data? Optimal Data Scheduling via Quality-Aware Functional Scaling Laws25 May 2026
- 2026HEBATRON: A Hebrew-Specialized Open-Weight Mixture-of-Experts Language Model11 May 2026
- 2025Scaling and Transferability of Annealing Strategies in Large Language Model Training5 Dec 2025
- 2024Scaling physics-informed hard constraints with mixture-of-experts20 Feb 2024
- 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,304
- 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 694
- 2022Tensor Programs V: Tuning Large Neural Networks via Zero-Shot Hyperparameter Transfercited by 272
- 2023Challenges and Applications of Large Language Modelscited by 251
- 2022Unlocking High-Accuracy Differentially Private Image Classification through Scalecited by 218
- 2021Federated Learning with Buffered Asynchronous Aggregationcited by 188
- 2021On the Origin of Implicit Regularization in Stochastic Gradient Descentcited by 183
- 2021ExT5: Towards Extreme Multi-Task Scaling for Transfer Learningcited by 161
- 2024Scaling Laws and Compute-Optimal Training Beyond Fixed Training Durationscited by 160
- 2022Self-Stabilization: The Implicit Bias of Gradient Descent at the Edge of Stabilitycited by 151
- 2021Deep Learning Through the Lens of Example Difficultycited by 139
- 2022Towards Efficient and Scalable Sharpness-Aware Minimizationcited by 129
12 most cited of 298 All 298 (JSON)
- 2026Synthetic Pre-pretraining Survives Scale, but Not as a Grammatical Prior30 Sep 2026
- 2026Optimizer-dependent training dynamics converge to the same one-third optimal data scaling29 Sep 2026
- 2026A Journey to the Edge of Stability26 Sep 2026
- 2026Parallelism Strategy Chaining for Fast Training Convergence7 Sep 2026
- 2026When Do Larger Batches Help Scale LLM Reinforcement Learning?29 Aug 2026
- 2026Gradient Under Microscope: Benchmarking Resource Utilization of Memory-Efficient Gradient Computation Methods9 Aug 2026
- 2026ML-for-ML6 Aug 2026
- 2026Towards joint scaling laws with optimal batch size schedules30 Jul 2026
- 2026SDO: Structure-Aware Data Organization for Efficient LLM Post-Training29 Jul 2026
- 2026A time-series classification framework for individual-level absenteeism prediction under severe class imbalance30 Jun 2026
- 2026Spectral phase transitions and trainability in neural network learning dynamics26 Jun 2026
- 2026Statistical Properties of Training & Generalization18 Jun 2026
12 newest of 298 All 298 (JSON)