  Few-shot graph classification aims at predicting classes for graphs, given
limited labeled graphs for each class. To tackle the bottleneck of label
scarcity, recent works propose to incorporate few-shot learning frameworks for
fast adaptations to graph classes with limited labeled graphs. Specifically,
these works propose to accumulate meta-knowledge across diverse meta-training
tasks, and then generalize such meta-knowledge to the target task with a
disjoint label set. However, existing methods generally ignore task
correlations among meta-training tasks while treating them independently.
Nevertheless, such task correlations can advance the model generalization to
the target task for better classification performance. On the other hand, it
remains non-trivial to utilize task correlations due to the complex components
in a large number of meta-training tasks. To deal with this, we propose a novel
few-shot learning framework FAITH that captures task correlations via
constructing a hierarchical task graph at different granularities. Then we
further design a loss-based sampling strategy to select tasks with more
correlated classes. Moreover, a task-specific classifier is proposed to utilize
the learned task correlations for few-shot classification. Extensive
experiments on four prevalent few-shot graph classification datasets
demonstrate the superiority of FAITH over other state-of-the-art baselines.
