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Primal-Attention: Self-attention through Asymmetric Kernel SVD in Primal Representation
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace the last Transformer attention layer with Primal-Attention | Transformer · UEA Time Series Classification (average) | accuracy: 71.9 -> 73.1 | Helped |
| Replace the last Transformer attention layer with Primal-Attention | Transformer · Long-Range Arena (average) | accuracy: 58.8 -> 60.4 | Helped |
| Replace the top-layer Decision Transformer attention with causal Primal-Attention | Decision Transformer · D4RL (average reward) | reward: 72.2±2.6 -> 77.5±6.0 | Helped |
| Replace the last DeiT-Small/16 attention layer with Primal-Attention | DeiT-Small/16 · ImageNet-100 | Top-1 accuracy: 74.2 -> 75.7 | Helped |
| Replace the last DeiT-Small/16 attention layer with Primal-Attention | DeiT-Small/16 · ImageNet-1K | Top-1 accuracy: 79.8 -> 79.8 | No clear effect |
| Replace the last Transformer attention layer with causal Primal-Attention | Transformer · WikiText-103 | perplexity: 33.0 -> 31.0 | Helped |
| Add r-scores involving the left singular vectors (ablation) | Primal. · LRA (average) | accuracy: 45.6 -> 57.5 | Helped |
| Add r-scores involving the left singular vectors (ablation) | Primal.+Trans. · LRA (average) | accuracy: 59.4 -> 60.4 | Helped |
| Vary the KSVD regularization coefficient η and projection count s (ablation) | Primal. · UEA Time Series Classification | accuracy | Mixed |
Closest papers by meaning
- Sparse Attention as Compact Kernel Regression (NeurIPS 2026 · similarity 0.88)
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- kNN Attention Demystified: A Theoretical Exploration for Scalable Transformers (ICLR 2025 · similarity 0.86)
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