mlsanityData to 7 Oct 2026

Uncertainty in Model-Agnostic Meta-Learning using Variational Inference

arXiv 1907.11864 ↗First posted 27 Jul 2019cs.LG stat.MLcited by 23

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Abstract (arXiv)

We introduce a new, rigorously-formulated Bayesian meta-learning algorithm that learns a probability distribution of model parameter prior for few-shot learning. The proposed algorithm employs a gradient-based variational inference to infer the posterior of model parameters to a new task. Our algorithm can be applied to any model architecture and can be implemented in various machine learning paradigms, including regression and classification. We show that the models trained with our proposed meta-learning algorithm are well calibrated and accurate, with state-of-the-art calibration and classification results on two few-shot classification benchmarks (Omniglot and Mini-ImageNet), and competitive results in a multi-modal task-distribution regression.

Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Jul 2019.

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Citing papers per year: 2021: 8; 2022: 8; 2023: 4; 2024: 2; 2025: 1.

23 papers.

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  1. 2021Graph Posterior Network: Bayesian Predictive Uncertainty for Node Classificationcited by 79
  2. 2024A Comprehensive Survey on Evidential Deep Learning and Its Applicationscited by 25
  3. 2022HyperShot: Few-Shot Learning by Kernel HyperNetworkscited by 24
  4. 2022The Neural Process Family: Survey, Applications and Perspectivescited by 23
  5. 2022Few-Shot Calibration of Set Predictors via Meta-Learned Cross-Validation-Based Conformal Predictioncited by 17
  6. 2022HyperMAML: Few-Shot Adaptation of Deep Models with Hypernetworkscited by 16
  7. 2022Is Bayesian Model-Agnostic Meta Learning Better than Model-Agnostic Meta Learning, Provably?cited by 13
  8. 2021Information-Theoretic Analysis of Epistemic Uncertainty in Bayesian Meta-learningcited by 10
  9. 2022Multidimensional Belief Quantification for Label-Efficient Meta-Learningcited by 9
  10. 2023Bayes meets Bernstein at the Meta Level: an Analysis of Fast Rates in Meta-Learning with PAC-Bayescited by 8
  11. 2021Similarity of Classification Taskscited by 7
  12. 2022Transductive Decoupled Variational Inference for Few-Shot Classificationcited by 7
11 more
  1. 2021Probabilistic task modelling for meta-learningcited by 4
  2. 2023Scalable Bayesian Meta-Learning through Generalized Implicit Gradientscited by 4
  3. 2021Bayesian Active Meta-Learning for Few Pilot Demodulation and Equalizationcited by 2
  4. 2023Task Weighting in Meta-learning with Trajectory Optimisationcited by 2
  5. 2025Neural Variational Dropout Processescited by 2
  6. 2021GCCN: Global Context Convolutional Networkcited by 1
  7. 2021Simultaneous Perturbation Method for Multi-Task Weight Optimization in One-Shot Meta-Learningcited by 1
  8. 2021Learning by Examples Based on Multi-level Optimizationcited by 0
  9. 2022Hypernetwork approach to Bayesian MAMLcited by 0
  10. 2023A Hierarchical Bayesian Model for Deep Few-Shot Meta Learningcited by 0
  11. 2024Reducing Variance in Meta-Learning via Laplace Approximation for Regression Taskscited by 0