Bayesian Meta-Learning for the Few-Shot Setting via Deep Kernels

Recently, different machine learning methods have been introduced to tackle the challenging few-shot learning scenario that is, learning from a small labeled dataset related to a specific task. Common approaches have taken the form of meta-learning: learning to learn on the new problem given the old. Following the recognition that meta-learning is implementing learning in a multi-level model, we present a Bayesian treatment for the meta-learning inner loop through the use of deep kernels. As a result we can learn a kernel that transfers to new tasks; we call this Deep Kernel Transfer (DKT). This approach has many advantages: is straightforward to implement as a single optimizer, provides uncertainty quantification, and does not require estimation of task-specific parameters. We empirically demonstrate that DKT outperforms several state-of-the-art algorithms in few-shot classification, and is the state of the art for cross-domain adaptation and regression. We conclude that complex meta-learning routines can be replaced by a simpler Bayesian model without loss of accuracy.

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Task Dataset Model Metric Name Metric Value Global Rank Benchmark
Few-Shot Image Classification CUB 200 5-way 1-shot DKT + BNCosSim Accuracy 72.27 # 25
Few-Shot Image Classification CUB 200 5-way 5-shot DKT + BNCosSim Accuracy 85.64 # 22
Few-Shot Image Classification Mini-Imagenet 5-way (1-shot) DKT + BNCosSim Accuracy 62.96 # 58
Few-Shot Image Classification Mini-Imagenet 5-way (5-shot) DKT + BNCosSim Accuracy 64.0 # 86
Few-Shot Image Classification Mini-ImageNet-CUB 5-way (1-shot) DKT + CosSim Accuracy 40.22 # 8
Few-Shot Image Classification Mini-ImageNet-CUB 5-way (5-shot) DKT + BNCosSim Accuracy 56.40 # 8
Few-Shot Image Classification OMNIGLOT-EMNIST 5-way (1-shot) DKT + BNCosSim Accuracy 75.40 # 2
Few-Shot Image Classification OMNIGLOT-EMNIST 5-way (5-shot) DKT + BNCosSim Accuracy 90.3 # 2

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