Papers › Cell Attention Networks

Cell Attention Networks

16 Sep 2022arXiv:2209.08179archive 2025-07-28

Lorenzo Giusti, Claudio Battiloro, Lucia Testa, Paolo Di Lorenzo, Stefania Sardellitti, Sergio Barbarossa

Since their introduction, graph attention networks achieved outstanding results in graph representation learning tasks. However, these networks consider only pairwise relationships among nodes and then they are not able to fully exploit higher-order interactions present in many real world data-sets. In this paper, we introduce Cell Attention Networks (CANs), a neural architecture operating on data defined over the vertices of a graph, representing the graph as the 1-skeleton of a cell complex introduced to capture higher order interactions. In particular, we exploit the lower and upper neighborhoods, as encoded in the cell complex, to design two independent masked self-attention mechanisms, thus generalizing the conventional graph attention strategy. The approach used in CANs is hierarchical and it incorporates the following steps: i) a lifting algorithm that learns {\it edge features} from {\it node features}; ii) a cell attention mechanism to find the optimal combination of edge features over both lower and upper neighbors; iii) a hierarchical {\it edge pooling} mechanism to extract a compact meaningful set of features. The experimental results show that CAN is a low complexity strategy that compares favorably with state of the art results on graph-based learning tasks.

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compute_projection_matrix lrnzgiusti/can/utils/utils.py official repository unverified MIT (permissive) · c0f810f64d31a0d2 · report
normalize lrnzgiusti/can/utils/utils.py official repository unverified MIT (permissive) · c4272dc6297e1d6d · report
readout lrnzgiusti/can/utils/utils.py official repository unverified MIT (permissive) · a726dcb95544b625 · report
sp_matmul lrnzgiusti/can/layers/cell_layers.py official repository unverified MIT (permissive) · 90f0b1312e635a38 · report
sp_softmax lrnzgiusti/can/layers/cell_layers.py official repository unverified MIT (permissive) · 2300f14a33046542 · report

Tasks

Graph AttentionGraph ClassificationGraph Representation LearningRepresentation Learning

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Graph Classification MUTAG CAN Accuracy 94.1% #9 of 74 Archive leaderboard report
Graph Classification NCI1 CAN Accuracy 84.5% #20 of 69 Archive leaderboard report
Graph Classification NCI109 CAN Accuracy 83.6 #10 of 38 Archive leaderboard report
Graph Classification PROTEINS CAN Accuracy 78.2% #21 of 103 Archive leaderboard report
Graph Classification PTC CAN Accuracy 72.8% #9 of 37 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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