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Laplacian Regularized Few-Shot Learning

2020-06-28Code Available1· sign in to hype

Imtiaz Masud Ziko, Jose Dolz, Eric Granger, Ismail Ben Ayed

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Abstract

We propose a transductive Laplacian-regularized inference for few-shot tasks. Given any feature embedding learned from the base classes, we minimize a quadratic binary-assignment function containing two terms: (1) a unary term assigning query samples to the nearest class prototype, and (2) a pairwise Laplacian term encouraging nearby query samples to have consistent label assignments. Our transductive inference does not re-train the base model, and can be viewed as a graph clustering of the query set, subject to supervision constraints from the support set. We derive a computationally efficient bound optimizer of a relaxation of our function, which computes independent (parallel) updates for each query sample, while guaranteeing convergence. Following a simple cross-entropy training on the base classes, and without complex meta-learning strategies, we conducted comprehensive experiments over five few-shot learning benchmarks. Our LaplacianShot consistently outperforms state-of-the-art methods by significant margins across different models, settings, and data sets. Furthermore, our transductive inference is very fast, with computational times that are close to inductive inference, and can be used for large-scale few-shot tasks.

Tasks

Benchmark Results

DatasetModelMetricClaimedVerifiedStatus
CUB 200 5-way 1-shotLaplacianShotAccuracy80.96Unverified
CUB 200 5-way 5-shotLaplacianShotAccuracy88.68Unverified
Dirichlet CUB-200 (5-way, 1-shot)Laplacian-Shot1:1 Accuracy73.7Unverified
Dirichlet CUB-200 (5-way, 5-shot)Laplacian-Shot1:1 Accuracy87.7Unverified
Dirichlet Mini-Imagenet (5-way, 1-shot)Laplacian-Shot1:1 Accuracy65.4Unverified
Dirichlet Mini-Imagenet (5-way, 5-shot)Laplacian-Shot1:1 Accuracy81.6Unverified
Dirichlet Tiered-Imagenet (5-way, 1-shot)Laplacian-Shot1:1 Accuracy72.3Unverified
Dirichlet Tiered-Imagenet (5-way, 5-shot)Laplacian-Shot1:1 Accuracy85.7Unverified
iNaturalist (227-way multi-shot)LaplacianShotAccuracy74.97Unverified
Mini-Imagenet 5-way (1-shot)LaplacianShotAccuracy75.57Unverified
Mini-Imagenet 5-way (5-shot)LaplacianShotAccuracy84.72Unverified
miniImagenet → CUB (5-way 1-shot)LaplacianShotAccuracy55.46Unverified
miniImagenet → CUB (5-way 5-shot)LaplacianShotAccuracy66.33Unverified
Mini-ImageNet-CUB 5-way (5-shot)LaplacianShotAccuracy66.33Unverified
Tiered ImageNet 5-way (1-shot)LaplacianShotAccuracy80.3Unverified
Tiered ImageNet 5-way (5-shot)LaplacianShotAccuracy87.93Unverified

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