Methods › General › Large Batch Optimization › AdaGrad
AdaGrad
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
AdaGrad is a stochastic optimization method that adapts the learning rate to the parameters. It performs smaller updates for parameters associated with frequently occurring features, and larger updates for parameters associated with infrequently occurring features. In its update rule, Adagrad modifies the general learning rate η at each time step t for every parameter θᵢ based on the past gradients for θᵢ:
θ_(t+1, i) = θ_(t, i) - η/(√(G_(t, ii) + ϵ))g_(t, i)
The benefit of AdaGrad is that it eliminates the need to manually tune the learning rate; most leave it at a default value of $0.01$. Its main weakness is the accumulation of the squared gradients in the denominator. Since every added term is positive, the accumulated sum keeps growing during training, causing the learning rate to shrink and becoming infinitesimally small.
Image: Alec Radford
Papers archive 2025-07-28
30 shown of 191, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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Recursive Bound-Constrained AdaGrad with Applications to Multilevel and Domain Decomposition Minimization 15 Jul 2025 · 0 repositories · arXiv:2507.11513
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LightSAM: Parameter-Agnostic Sharpness-Aware Minimization 30 May 2025 · 0 repositories · arXiv:2505.24399
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Sample and Computationally Efficient Continuous-Time Reinforcement Learning with General Function Approximation 20 May 2025 · 1 repository · arXiv:2505.14821
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Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness 7 May 2025 · 0 repositories · arXiv:2505.04599
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Structured Preconditioners in Adaptive Optimization: A Unified Analysis 13 Mar 2025 · 0 repositories · arXiv:2503.10537
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Tractable Representations for Convergent Approximation of Distributional HJB Equations 7 Mar 2025 · 0 repositories · arXiv:2503.05563
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Symmetric Rank-One Quasi-Newton Methods for Deep Learning Using Cubic Regularization 17 Feb 2025 · 0 repositories · arXiv:2502.12298
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Integrating LLMs with ITS: Recent Advances, Potentials, Challenges, and Future Directions 8 Jan 2025 · 0 repositories · arXiv:2501.04437
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Towards Simple and Provable Parameter-Free Adaptive Gradient Methods 27 Dec 2024 · 0 repositories · arXiv:2412.19444
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Adaptive Optimization for Enhanced Efficiency in Large-Scale Language Model Training 6 Dec 2024 · 0 repositories · arXiv:2412.04718
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A Combined Encoder and Transformer Approach for Coherent and High-Quality Text Generation 19 Nov 2024 · 0 repositories · arXiv:2411.12157
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Modeling AdaGrad, RMSProp, and Adam with Integro-Differential Equations 14 Nov 2024 · 1 repository · arXiv:2411.09734Syntology ran 0 of 1 samples · 1 unverified
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New Insight in Cervical Cancer Diagnosis Using Convolution Neural Network Architecture 23 Oct 2024 · 0 repositories · arXiv:2410.17735
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Preconditioning for Accelerated Gradient Descent Optimization and Regularization 30 Sep 2024 · 0 repositories · arXiv:2410.00232
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Stability and convergence analysis of AdaGrad for non-convex optimization via novel stopping time-based techniques 8 Sep 2024 · 0 repositories · arXiv:2409.05023
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Causal Temporal Representation Learning with Nonstationary Sparse Transition 5 Sep 2024 · 1 repository · arXiv:2409.03142Syntology ran 7 of 9 samples · 2 unverified · 9 pointer-only (licence)
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Machine learning models for daily rainfall forecasting in Northern Tropical Africa using tropical wave predictors 29 Aug 2024 · 1 repository · arXiv:2408.16349
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A Methodology Establishing Linear Convergence of Adaptive Gradient Methods under PL Inequality 17 Jul 2024 · 0 repositories · arXiv:2407.12629
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AdaGrad under Anisotropic Smoothness 21 Jun 2024 · 0 repositories · arXiv:2406.15244
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Provable Complexity Improvement of AdaGrad over SGD: Upper and Lower Bounds in Stochastic Non-Convex Optimization 7 Jun 2024 · 0 repositories · arXiv:2406.04592
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Clipping Improves Adam-Norm and AdaGrad-Norm when the Noise Is Heavy-Tailed 6 Jun 2024 · 1 repository · arXiv:2406.04443
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Tight Bounds for Online Convex Optimization with Adversarial Constraints 15 May 2024 · 0 repositories · arXiv:2405.09296
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CTRL: Continuous-Time Representation Learning on Temporal Heterogeneous Information Network 11 May 2024 · 0 repositories · arXiv:2405.08013
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CLASSP: a Biologically-Inspired Approach to Continual Learning through Adjustment Suppression and Sparsity Promotion 29 Apr 2024 · 1 repository · arXiv:2405.09637
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Deep Learning with Parametric Lenses 30 Mar 2024 · 0 repositories · arXiv:2404.00408
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Towards Adversarial Robustness And Backdoor Mitigation in SSL 23 Mar 2024 · 1 repository · arXiv:2403.15918
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Adaptive Federated Learning Over the Air 11 Mar 2024 · 0 repositories · arXiv:2403.06528
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Remove that Square Root: A New Efficient Scale-Invariant Version of AdaGrad 5 Mar 2024 · 1 repository · arXiv:2403.02648Syntology ran 2 of 2 samples · 0 unverified · 2 pointer-only (licence)
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Revisiting Convergence of AdaGrad with Relaxed Assumptions 21 Feb 2024 · 0 repositories · arXiv:2402.13794
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Stochastic Hessian Fittings with Lie Groups 19 Feb 2024 · 1 repository · arXiv:2402.11858
Tasks archive 2025-07-28
20 shown of 118 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
Usage over time archive 2025-07-28
Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).
Categories archive 2025-07-28
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