Lookahead Optimizer: k steps forward, 1 step back
Not on the map. Why?
Abstract (arXiv)
The vast majority of successful deep neural networks are trained using variants of stochastic gradient descent (SGD) algorithms. Recent attempts to improve SGD can be broadly categorized into two approaches: (1) adaptive learning rate schemes, such as AdaGrad and Adam, and (2) accelerated schemes, such as heavy-ball and Nesterov momentum. In this paper, we propose a new optimization algorithm, Lookahead, that is orthogonal to these previous approaches and iteratively updates two sets of weights. Intuitively, the algorithm chooses a search direction by looking ahead at the sequence of fast weights generated by another optimizer. We show that Lookahead improves the learning stability and lowers the variance of its inner optimizer with negligible computation and memory cost. We empirically demonstrate Lookahead can significantly improve the performance of SGD and Adam, even with their default hyperparameter settings on ImageNet, CIFAR-10/100, neural machine translation, and Penn Treebank.
Key facts. Cited by 333 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Jul 2019.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2021: 85; 2022: 61; 2023: 59; 2024: 46; 2025: 40; 2026: 42.
333 papers.
Sort:
By area:
- 2022Model soups: averaging weights of multiple fine-tuned models improves accuracy without increasing inference timecited by 1,366
- 2021Robust fine-tuning of zero-shot modelscited by 785
- 2021TransMIL: Transformer based Correlated Multiple Instance Learning for Whole Slide Image Classificationcited by 549
- 2024Break the Sequential Dependency of LLM Inference Using Lookahead Decodingcited by 295
- 2021Efficiently Identifying Task Groupings for Multi-Task Learningcited by 218
- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021High-Fidelity GAN Inversion for Image Attribute Editingcited by 197
- 2022Surrogate Gap Minimization Improves Sharpness-Aware Trainingcited by 171
- 2024The Road Less Scheduledcited by 158
- 2021EditGAN: High-Precision Semantic Image Editingcited by 156
- 2021Well-tuned Simple Nets Excel on Tabular Datasetscited by 151
- 2021GDRNPP: A Geometry-guided and Fully Learning-based Object Pose Estimatorcited by 148
38 more
- 2022Diverse Weight Averaging for Out-of-Distribution Generalizationcited by 148
- 2021Semantic Segmentation with Generative Models: Semi-Supervised Learning and Strong Out-of-Domain Generalizationcited by 141
- 2021Efficient Sharpness-aware Minimization for Improved Training of Neural Networkscited by 137
- 2021Self-Attention Between Datapoints: Going Beyond Individual Input-Output Pairs in Deep Learningcited by 112
- 2021The Efficiency Misnomercited by 98
- 2022Particle Transformer for Jet Taggingcited by 95
- 2022GPV-Pose: Category-level Object Pose Estimation via Geometry-guided Point-wise Votingcited by 94
- 2021Only a Matter of Style: Age Transformation Using a Style-Based Regression Modelcited by 92
- 2023Deep Model Fusion: A Surveycited by 89
- 2021SO-Pose: Exploiting Self-Occlusion for Direct 6D Pose Estimationcited by 88
- 2021HyperInverter: Improving StyleGAN Inversion via Hypernetworkcited by 85
- 2021TEACHTEXT: CrossModal Generalized Distillation for Text-Video Retrievalcited by 81
- 2023β-Variational autoencoders and transformers for reduced-order modelling of fluid flowscited by 76
- 2022CLIP-Art: Contrastive Pre-training for Fine-Grained Art Classificationcited by 65
- 2021OmniDet: Surround View Cameras based Multi-task Visual Perception Network for Autonomous Drivingcited by 57
- 2022Stop Wasting My Time! Saving Days of ImageNet and BERT Training with Latest Weight Averagingcited by 54
- 2021Convergence and Accuracy Trade-Offs in Federated Learning and Meta-Learningcited by 52
- 2023HS-Pose: Hybrid Scope Feature Extraction for Category-level Object Pose Estimationcited by 47
- 2022A Unified Analysis of Federated Learning with Arbitrary Client Participationcited by 45
- 2024Neural network learns low-dimensional polynomials with SGD near the information-theoretic limitcited by 45
- 2022Differentiable Zooming for Multiple Instance Learning on Whole-Slide Imagescited by 43
- 2022RBP-Pose: Residual Bounding Box Projection for Category-Level Pose Estimationcited by 43
- 2024Unified Gradient-Based Machine Unlearning with Remain Geometry Enhancementcited by 43
- 2022SSP-Pose: Symmetry-Aware Shape Prior Deformation for Direct Category-Level Object Pose Estimationcited by 41
- 2023TriPlaneNet: An Encoder for EG3D Inversioncited by 41
- 2023Structured State Space Models for Multiple Instance Learning in Digital Pathologycited by 41
- 2023No Train No Gain: Revisiting Efficient Training Algorithms For Transformer-based Language Modelscited by 41
- 2022SAM as an Optimal Relaxation of Bayescited by 40
- 2021Self-supervised driven consistency training for annotation efficient histopathology image analysiscited by 39
- 2021PingAn-VCGroup's Solution for ICDAR 2021 Competition on Scientific Literature Parsing Task B: Table Recognition to HTMLcited by 39
- 2021DualNet: Continual Learning, Fast and Slowcited by 39
- 2022Style Transformer for Image Inversion and Editingcited by 37
- 2023Make Encoder Great Again in 3D GAN Inversion through Geometry and Occlusion-Aware Encodingcited by 35
- 2024Repetita Iuvant: Data Repetition Allows SGD to Learn High-Dimensional Multi-Index Functionscited by 35
- 2022Occlusion-Aware Self-Supervised Monocular 6D Object Pose Estimationcited by 34
- 2023Picture that Sketch: Photorealistic Image Generation from Abstract Sketchescited by 34
- 2021E2Style: Improve the Efficiency and Effectiveness of StyleGAN Inversioncited by 33
- 2021Physics-informed neural networks for the shallow-water equations on the spherecited by 32
50 most cited of 333 All 333 (JSON)
- 2026EvE: An Alternate Optimizer to Adam28 Sep 2026
- 2026CTP-FL: Common-Trajectory Gradient Prediction for Federated Learning28 Sep 2026
- 2026Terminal Shrinkage Averaging Reveals a Schedule-Estimator Interaction in LLM Pretraining21 Sep 2026
- 2026Agentic Search Spaces for Tabular Machine Learning14 Sep 2026
- 2026Measuring Structured Predictability in Neural Training Dynamics: A Cross-Regime Study16 Aug 2026
- 2026AOS: Adaptive Optimizer Switching via Training-State Signals for Faster Convergence and Better Generalization3 Aug 2026
- 2026Leveraging Extragradient for Effective Sharpness-Aware Minimization in Deep Learning7 Jul 2026
- 2026CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws5 Jul 2026
- 2026Forget, Anticipate and Adapt: Test Time Training for Long Videos25 Jun 2026
- 2026Training for the Model You Return: Improving Optimization for Iterate-Averaged Language Models23 Jun 2026
- 2026Fast and Slow Variational Continual Learning22 Jun 2026
- 2026SPADE: Split-and-Delay Embeddings for Autoregressive High-Granularity Calorimeter Simulation9 Jun 2026
38 more
- 2026Still: Amortized KV Cache Compaction in a Single Forward Pass5 Jun 2026
- 2026Outer-Momentum Restarting in High-Dimensional Two-Phase Optimization27 May 2026
- 2026EMA-Nesterov: Stabilizing Nesterov's Lookahead for Accelerated Deep Learning Optimization25 May 2026
- 2026FruitEnsemble: MLLM-Guided Arbitration for Heterogeneous ensemble in Fine-Grained Fruit Recognition20 May 2026
- 2026Correcting Stochastic Update Bias in Preconditioned Language Model Optimizers20 May 2026
- 2026Optimistic Dual Averaging Unifies Modern Optimizers11 May 2026
- 2026When Descent Is Too Stable: Event-Triggered Hamiltonian Learning to Optimize7 May 2026
- 2026Gradient Extrapolation-Based Policy Optimization7 May 2026
- 2026Accelerating LMO-Based Optimization via Implicit Gradient Transport7 May 2026
- 2026Anon: Extrapolating Adaptivity Beyond SGD and Adam4 May 2026
- 2026Learning Rate Engineering: From Coarse Single Parameter to Layered Evolution30 Apr 2026
- 2026FlowAdam: Implicit Regularization via Geometry-Aware Soft Momentum Injection8 Apr 2026
- 2026High dimensional theory of two-phase optimizers27 Mar 2026
- 2026Optimize Wider, Not Deeper: Consensus Aggregation for Policy Optimization13 Mar 2026
- 2026Rethinking Adam for Time Series Forecasting: A Simple Heuristic to Improve Optimization under Distribution Shifts10 Mar 2026
- 2026LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning6 Mar 2026
- 2026Open-Vocabulary Semantic Segmentation in Remote Sensing via Hierarchical Attention Masking and Model Composition27 Feb 2026
- 2026Leap+Verify: Regime-Adaptive Speculative Weight Prediction for Accelerating Neural Network Training23 Feb 2026
- 2026OptiRoulette Optimizer: A New Stochastic Meta-Optimizer for up to 5.3x Faster Convergence20 Feb 2026
- 2026TrasMuon: Trust-Region Adaptive Scaling for Orthogonalized Momentum Optimizers13 Feb 2026
- 2026EMA Policy Gradient: Taming Reinforcement Learning for LLMs with EMA Anchor and Top-k KL4 Feb 2026
- 2026TruKAN: Towards More Efficient Kolmogorov-Arnold Networks Using Truncated Power Functions2 Feb 2026
- 2026Enabling Progressive Whole-slide Image Analysis with Multi-scale Pyramidal Network2 Feb 2026
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gaps29 Jan 2026
- 2026LipNeXt: Scaling up Lipschitz-based Certified Robustness to Billion-parameter Models26 Jan 2026
- 2026Frequency-Based Hyperparameter Selection in Games26 Jan 2026
- 2026Automatic Stability and Recovery for Neural Network Training24 Jan 2026
- 2026AllShowers: One model for all calorimeter showers16 Jan 2026
- 2026Parent-Guided Adaptive Reliability (PGAR): A Behavioural Meta-Learning Framework for Stable and Trustworthy AI7 Jan 2026
- 2026Unsupervised Modular Adaptive Region Growing and RegionMix Classification for Wind Turbine Segmentation7 Jan 2026
- 2025Classifying long legal documents using short random chunks31 Dec 2025
- 2025Smoothing DiLoCo with Primal Averaging for Faster Training of LLMs18 Dec 2025
- 2025Greedy Alignment Principle for Optimizer Selection6 Dec 2025
- 2025Gradient Descent with Provably Tuned Learning-rate Schedules4 Dec 2025
- 2025Enhancing next token prediction based pre-training for jet foundation models3 Dec 2025
- 2025Unifying Sign and Magnitude for Optimizing Deep Vision Networks via ThermoLion1 Dec 2025
- 2025HVAdam: A Full-Dimension Adaptive Optimizer25 Nov 2025
- 2025WarpGAN: Warping-Guided 3D GAN Inversion with Style-Based Novel View Inpainting11 Nov 2025
50 newest of 333 All 333 (JSON)
- 2021Generative Probabilistic Image Colorizationcited by 2
- 2023Semi-Supervised Semantic Segmentation of Cell Nuclei via Diffusion-based Large-Scale Pre-Training and Collaborative Learningcited by 2
- 2024Prior-guided Diffusion Model for Cell Segmentation in Quantitative Phase Imagingcited by 1
- 2025HVAdam: A Full-Dimension Adaptive Optimizercited by 1
- 2025Diff-Lung: Diffusion-Based Texture Synthesis for Enhanced Pathological Tissue Segmentation in Lung CT Scanscited by 0
- 2025Gradient Flow Matching for Learning Update Dynamics in Neural Network Trainingcited by 0
- 2025HVAdam: A Full-Dimension Adaptive Optimizer25 Nov 2025
- 2025Gradient Flow Matching for Learning Update Dynamics in Neural Network Training26 May 2025
- 2025Diff-Lung: Diffusion-Based Texture Synthesis for Enhanced Pathological Tissue Segmentation in Lung CT Scans6 Jan 2025
- 2024Prior-guided Diffusion Model for Cell Segmentation in Quantitative Phase Imaging10 May 2024
- 2023Semi-Supervised Semantic Segmentation of Cell Nuclei via Diffusion-based Large-Scale Pre-Training and Collaborative Learning8 Aug 2023
- 2021Generative Probabilistic Image Colorization29 Sep 2021
- 2026Agentic Search Spaces for Tabular Machine Learning14 Sep 2026
- 2024Decentralized Federated Learning with Model Caching on Mobile Agents26 Aug 2024
- 2023Structured State Space Models for Multiple Instance Learning in Digital Pathologycited by 41
- 2025Differential Mambacited by 2
- 2025Differential Mamba8 Jul 2025
- 2023Structured State Space Models for Multiple Instance Learning in Digital Pathology27 Jun 2023
- 2024Retrieval Augmented Deep Anomaly Detection for Tabular Data30 Jan 2024
- 2022Model soups: averaging weights of multiple fine-tuned models improves accuracy without increasing inference timecited by 1,366
- 2021Robust fine-tuning of zero-shot modelscited by 785
- 2021TransMIL: Transformer based Correlated Multiple Instance Learning for Whole Slide Image Classificationcited by 549
- 2021Efficiently Identifying Task Groupings for Multi-Task Learningcited by 218
- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021High-Fidelity GAN Inversion for Image Attribute Editingcited by 197
- 2022Surrogate Gap Minimization Improves Sharpness-Aware Trainingcited by 171
- 2024The Road Less Scheduledcited by 158
- 2021EditGAN: High-Precision Semantic Image Editingcited by 156
- 2021Well-tuned Simple Nets Excel on Tabular Datasetscited by 151
- 2021GDRNPP: A Geometry-guided and Fully Learning-based Object Pose Estimatorcited by 148
- 2022Diverse Weight Averaging for Out-of-Distribution Generalizationcited by 148
12 most cited of 312 All 312 (JSON)
- 2026EvE: An Alternate Optimizer to Adam28 Sep 2026
- 2026CTP-FL: Common-Trajectory Gradient Prediction for Federated Learning28 Sep 2026
- 2026Terminal Shrinkage Averaging Reveals a Schedule-Estimator Interaction in LLM Pretraining21 Sep 2026
- 2026Measuring Structured Predictability in Neural Training Dynamics: A Cross-Regime Study16 Aug 2026
- 2026AOS: Adaptive Optimizer Switching via Training-State Signals for Faster Convergence and Better Generalization3 Aug 2026
- 2026Leveraging Extragradient for Effective Sharpness-Aware Minimization in Deep Learning7 Jul 2026
- 2026CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws5 Jul 2026
- 2026Forget, Anticipate and Adapt: Test Time Training for Long Videos25 Jun 2026
- 2026Training for the Model You Return: Improving Optimization for Iterate-Averaged Language Models23 Jun 2026
- 2026Fast and Slow Variational Continual Learning22 Jun 2026
- 2026SPADE: Split-and-Delay Embeddings for Autoregressive High-Granularity Calorimeter Simulation9 Jun 2026
- 2026Outer-Momentum Restarting in High-Dimensional Two-Phase Optimization27 May 2026
12 newest of 312 All 312 (JSON)