SLIDE 12 Large Margin Meta-Learning for Few-Shot Classification Large Margin Principle
- Fig. 1: Large margin meta-learning. (a) Classifier trained without
the large margin constraint. (b) Classifier trained with the large margin constraint. (c) Gradient of the triplet loss.
L = Lsoftmax + λ ∗ Llarge-margin
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One Implementation: Triplet Loss
Llarge-margin = 1 Nt
Nt
X
i=1
⇥ k fφ(xa
i ) fφ(xp i ) k2 2 k fφ(xa i ) fφ(xn i ) k2 2 +m
⇤
+ .
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Analysis
After rearrangement: The gradient:
Llarge-margin = 1 Nt X
xs∈Ss
k fφ(xi) fφ(xs) k2
2
X
xd∈Sd
k fφ(xi) fφ(xd) k2
2
! + const.
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∂Llarge-margin ∂fφ(xi) = 2 Nt X
xs∈Ss
(fφ(xi) − fφ(xs)) − X
xd∈Sd
(fφ(xi) − fφ(xd)) ! = −2|Ss| Nt 1 |Ss| X
xs∈Ss
fφ(xs) − fφ(xi) ! − 2|Sd| Nt fφ(xi) − 1 |Sd| X
xd∈Sd
fφ(xd) ! = − 2|Ss| Nt (cs − fφ(xi)) | {z }
pull towards its own class
− 2|Sd| Nt (fφ(xi) − cd) | {z }
push away from other classes
.
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Case study
- We implement and compare several of other large margin
methods for few-shot learning.
- Our framework is simple, efficient, and can be applied to
improve existing and new meta-learning methods with very little
Features
- Graph Neural Network (GNN)
- Prototypical Network (PN)
The University of Hong Kong1, The Hong Kong Polytechnic University2 Yong Wang1, Xiao-Ming Wu2, Qimai Li2, Jiatao Gu1, Wangmeng Xiang2, Lei Zhang2, Victor O.K. Li1