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Spectral-Based Graph Neural Networks for Complementary Item Recommendation
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Proposes SComGNN, a spectral GNN with low-pass and mid-pass filters plus a two-stage attention mechanism to model relevance and dissimilarity in complementary item graphs, evaluated on four Amazon datasets.
Problem
Complementary item recommendation requires modeling items that are both relevant and dissimilar, a trade-off that prior methods oversimplify or ignore.
Approach
Spectral analysis shows complementary item graphs are dominated by low- and mid-frequency components, which are mapped to relevance and dissimilarity; low-pass and mid-pass GCN filters extract them and a two-stage (pairwise then self) attention adaptively balances them under a contrastive link-prediction loss.
Key results
- SComGNN achieves HR@10 of 0.7127 on Appliances, 0.8589 on Toys, 0.8565 on Grocery, and 0.8789 on Home, best on all datasets and metrics.
- Reported HR@10 gains over the best baseline are 7.8%, 14.3%, 13.3%, and 4.4% on the four datasets.
- Removing the low-frequency branch drops HR@10 to 0.1855 on Appliances, showing the low-frequency component is most important.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SComGNN instead of the strongest baseline | complementary item recommendation · Appliances | HR@10: 7.8% | Helped |
| Use SComGNN instead of the strongest baseline | complementary item recommendation · Toys | HR@10: 14.3% | Helped |
| Use SComGNN instead of the strongest baseline | complementary item recommendation · Grocery | HR@10: 13.3% | Helped |
| Use SComGNN instead of the strongest baseline | complementary item recommendation · Home | HR@10: 4.4% | Helped |
| Add the low-frequency GCN filter and two-stage attention (ablation) | SComGNN · Appliances, Toys, Grocery, Home | NDCG: 0.2457 -> 0.4377; 0.2236 -> 0.5501; 0.2560 -> 0.5959; 0.2375 -> 0.6610 | Helped |
| Add the mid-frequency GCN filter and two-stage attention (ablation) | SComGNN · Appliances, Toys, Grocery, Home | NDCG: 0.4235 -> 0.4377; 0.4907 -> 0.5501; 0.5389 -> 0.5959; 0.6239 -> 0.6610 | Helped |
| Use two-stage attention instead of simple concatenation (ablation) | SComGNN · Appliances, Toys, Grocery, Home | NDCG: 0.4195 -> 0.4377; 0.5149 -> 0.5501; 0.5330 -> 0.5959; 0.6223 -> 0.6610 | Helped |
Surprising findings
- Removing the low-frequency filter causes a far larger drop than removing the mid-frequency filter, indicating relevance dominates.
- Without the two-stage attention, the model with both components can underperform the model using only the mid-frequency branch in some cases.
Limitations
- Only one-layer GCN filters work best; deeper networks degrade performance.
- Evaluation limited to Amazon also-bought link prediction on four datasets.
- Spectral analysis performed on a single small dataset for spectrum plots.
Experimental setup
Datasets: Amazon Appliances Amazon Grocery and Gourmet Food Amazon Toys and Games Amazon Home and Kitchen
Benchmarks: Amazon Appliances Amazon Toys Amazon Grocery Amazon Home
Metrics: HR@5 HR@10 NDCG
Baselines: GIN GraphSage Popularity DCF P-Companion ALCIR
Builds on: GCN P-Companion ALCIR DCF
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