Sign-MAML: Efficient Model-Agnostic Meta-Learning by SignSGD
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Abstract (arXiv)
We propose a new computationally-efficient first-order algorithm for Model-Agnostic Meta-Learning (MAML). The key enabling technique is to interpret MAML as a bilevel optimization (BLO) problem and leverage the sign-based SGD(signSGD) as a lower-level optimizer of BLO. We show that MAML, through the lens of signSGD-oriented BLO, naturally yields an alternating optimization scheme that just requires first-order gradients of a learned meta-model. We term the resulting MAML algorithm Sign-MAML. Compared to the conventional first-order MAML (FO-MAML) algorithm, Sign-MAML is theoretically-grounded as it does not impose any assumption on the absence of second-order derivatives during meta training. In practice, we show that Sign-MAML outperforms FO-MAML in various few-shot image classification tasks, and compared to MAML, it achieves a much more graceful tradeoff between classification accuracy and computation efficiency.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Builds on 28 of its 36 references that are in the map. First posted on arXiv 15 Sep 2021.
Builds on
28 of 36 references.
References · 28
- 2014Explaining and Harnessing Adversarial Examplescited by 7,287
- 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,326
- 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,861
- 2017Prototypical Networks for Few-shot Learningcited by 3,001
- 2016Matching Networks for One Shot Learningcited by 2,246
- 2016Neural Architecture Search with Reinforcement Learningcited by 1,489
- 2017Learning to Compare: Relation Network for Few-Shot Learningcited by 1,139
- 2018On First-Order Meta-Learning Algorithmscited by 1,003
- 2020Meta-Learning in Neural Networks: A Surveycited by 944
- 2013Stochastic First- and Zeroth-order Methods for Nonconvex Stochastic Programmingcited by 716
- 2018signSGD: Compressed Optimisation for Non-Convex Problemscited by 561
- 2019Meta-Learning with Implicit Gradientscited by 523
16 more
- 2018TADAM: Task dependent adaptive metric for improved few-shot learningcited by 408
- 2019Rapid Learning or Feature Reuse? Towards Understanding the Effectiveness of MAMLcited by 359
- 2018How to train your MAMLcited by 306
- 2018Meta-Learning: A Surveycited by 254
- 2018Approximation Methods for Bilevel Programmingcited by 231
- 2020Bilevel Optimization: Convergence Analysis and Enhanced Designcited by 219
- 2020A Primer on Zeroth-Order Optimization in Signal Processing and Machine Learningcited by 160
- 2020On the Iteration Complexity of Hypergradient Computationcited by 154
- 2019On the Convergence Theory of Gradient-Based Model-Agnostic Meta-Learning Algorithmscited by 132
- 2016On Differentiating Parameterized Argmin and Argmax Problems with Application to Bi-level Optimizationcited by 108
- 2019Meta-Learning of Neural Architectures for Few-Shot Learningcited by 73
- 2020learn2learn: A Library for Meta-Learning Researchcited by 69
- 2020Convergence of Meta-Learning with Task-Specific Adaptation over Partial Parameterscited by 65
- 2019ES-MAML: Simple Hessian-Free Meta Learningcited by 57
- 2019Investigating Meta-Learning Algorithms for Low-Resource Natural Language Understanding Taskscited by 48
- 2020When does MAML Work the Best? An Empirical Study on Model-Agnostic Meta-Learning in NLP Applicationscited by 5
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Citing papers per year: 2022: 6; 2023: 4; 2024: 2; 2025: 2.
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- 2023An Introduction to Bi-level Optimization: Foundations and Applications in Signal Processing and Machine Learningcited by 39
- 2022HyperShot: Few-Shot Learning by Kernel HyperNetworkscited by 24
- 2022HyperMAML: Few-Shot Adaptation of Deep Models with Hypernetworkscited by 16
- 2022Maximizing Communication Efficiency for Large-scale Training via 0/1 Adamcited by 15
- 2022Adaptive Fine-Grained Sketch-Based Image Retrievalcited by 15
- 2023Meta-Learning with a Geometry-Adaptive Preconditionercited by 11
- 2023Meta-learning in healthcare: A surveycited by 9
- 2024MetaAug: Meta-Data Augmentation for Post-Training Quantizationcited by 5
- 2023BiSLS/SPS: Auto-tune Step Sizes for Stable Bi-level Optimizationcited by 4
- 2024BiSSL: Enhancing the Alignment Between Self-Supervised Pretraining and Downstream Fine-Tuning via Bilevel Optimizationcited by 3
- 2022FedBC: Calibrating Global and Local Models via Federated Learning Beyond Consensuscited by 2
- 2025Rating Quality of Diverse Time Series Data by Meta-learning from LLM Judgmentcited by 1
2 more
- 2022Hypernetwork approach to Bayesian MAMLcited by 0
- 2025Heterogeneous Self-Supervised Acoustic Pre-Training with Local Constraintscited by 0
- 2025Heterogeneous Self-Supervised Acoustic Pre-Training with Local Constraints27 Aug 2025
- 2025Rating Quality of Diverse Time Series Data by Meta-learning from LLM Judgment2 Jun 2025
- 2024BiSSL: Enhancing the Alignment Between Self-Supervised Pretraining and Downstream Fine-Tuning via Bilevel Optimization3 Oct 2024
- 2024MetaAug: Meta-Data Augmentation for Post-Training Quantization20 Jul 2024
- 2023Meta-learning in healthcare: A survey5 Aug 2023
- 2023An Introduction to Bi-level Optimization: Foundations and Applications in Signal Processing and Machine Learning1 Aug 2023
- 2023BiSLS/SPS: Auto-tune Step Sizes for Stable Bi-level Optimization30 May 2023
- 2023Meta-Learning with a Geometry-Adaptive Preconditioner4 Apr 2023
- 2022Hypernetwork approach to Bayesian MAML6 Oct 2022
- 2022Adaptive Fine-Grained Sketch-Based Image Retrieval4 Jul 2022
- 2022FedBC: Calibrating Global and Local Models via Federated Learning Beyond Consensus22 Jun 2022
- 2022HyperMAML: Few-Shot Adaptation of Deep Models with Hypernetworks31 May 2022
2 more
- 2023An Introduction to Bi-level Optimization: Foundations and Applications in Signal Processing and Machine Learningcited by 39
- 2022HyperShot: Few-Shot Learning by Kernel HyperNetworkscited by 24
- 2022HyperMAML: Few-Shot Adaptation of Deep Models with Hypernetworkscited by 16
- 2022Maximizing Communication Efficiency for Large-scale Training via 0/1 Adamcited by 15
- 2022Adaptive Fine-Grained Sketch-Based Image Retrievalcited by 15
- 2023Meta-Learning with a Geometry-Adaptive Preconditionercited by 11
- 2023Meta-learning in healthcare: A surveycited by 9
- 2024MetaAug: Meta-Data Augmentation for Post-Training Quantizationcited by 5
- 2023BiSLS/SPS: Auto-tune Step Sizes for Stable Bi-level Optimizationcited by 4
- 2024BiSSL: Enhancing the Alignment Between Self-Supervised Pretraining and Downstream Fine-Tuning via Bilevel Optimizationcited by 3
- 2022FedBC: Calibrating Global and Local Models via Federated Learning Beyond Consensuscited by 2
- 2025Rating Quality of Diverse Time Series Data by Meta-learning from LLM Judgmentcited by 1
12 most cited of 14 All 14 (JSON)
- 2025Heterogeneous Self-Supervised Acoustic Pre-Training with Local Constraints27 Aug 2025
- 2025Rating Quality of Diverse Time Series Data by Meta-learning from LLM Judgment2 Jun 2025
- 2024BiSSL: Enhancing the Alignment Between Self-Supervised Pretraining and Downstream Fine-Tuning via Bilevel Optimization3 Oct 2024
- 2024MetaAug: Meta-Data Augmentation for Post-Training Quantization20 Jul 2024
- 2023Meta-learning in healthcare: A survey5 Aug 2023
- 2023An Introduction to Bi-level Optimization: Foundations and Applications in Signal Processing and Machine Learning1 Aug 2023
- 2023BiSLS/SPS: Auto-tune Step Sizes for Stable Bi-level Optimization30 May 2023
- 2023Meta-Learning with a Geometry-Adaptive Preconditioner4 Apr 2023
- 2022Hypernetwork approach to Bayesian MAML6 Oct 2022
- 2022Adaptive Fine-Grained Sketch-Based Image Retrieval4 Jul 2022
- 2022FedBC: Calibrating Global and Local Models via Federated Learning Beyond Consensus22 Jun 2022
- 2022HyperMAML: Few-Shot Adaptation of Deep Models with Hypernetworks31 May 2022
12 newest of 14 All 14 (JSON)